Dataset Viewer
data_source
stringclasses 1
value | prompt
listlengths 1
1
| images
images listlengths 1
1
| reward_model
dict | extra_info
dict |
|---|---|---|---|---|
scemqa_oe
|
[
{
"content": "<image>A basketball team has the following heights and weights. What is the height for the 25th percentile? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "69.5",
"style": "rule"
}
|
{
"gt_answer": "69.5",
"id": "scemqa_oe--0",
"mc_options": null,
"original_question": "<image>A basketball team has the following heights and weights. What is the height for the 25th percentile? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The following is a sample of butterfly wingspans measured in millimeters. What wingspan is the 75th percentile? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "39",
"style": "rule"
}
|
{
"gt_answer": "39",
"id": "scemqa_oe--1",
"mc_options": null,
"original_question": "<image>The following is a sample of butterfly wingspans measured in millimeters. What wingspan is the 75th percentile? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A study on grade inflation published this scatter plot with the least-squares regression line. Estimate the linear model shown and predict the GPA in the year 2016. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "3.71",
"style": "rule"
}
|
{
"gt_answer": "3.71",
"id": "scemqa_oe--2",
"mc_options": null,
"original_question": "<image>A study on grade inflation published this scatter plot with the least-squares regression line. Estimate the linear model shown and predict the GPA in the year 2016. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>By using the values in the dataset, solve the problems below. Find the least-squares regression line. Make a prediction when x = 900. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "33.31%",
"style": "rule"
}
|
{
"gt_answer": "33.31%",
"id": "scemqa_oe--3",
"mc_options": null,
"original_question": "<image>By using the values in the dataset, solve the problems below. Find the least-squares regression line. Make a prediction when x = 900. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>In a contest at a state fair, participants tried to see how many times in a row they could throw a football through a determined space until they missed. The company running the contest compiled the following data during the entire fair. If a participant was randomly selected, how many throws would you expect him or her to make before missing? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "3.397",
"style": "rule"
}
|
{
"gt_answer": "3.397",
"id": "scemqa_oe--4",
"mc_options": null,
"original_question": "<image>In a contest at a state fair, participants tried to see how many times in a row they could throw a football through a determined space until they missed. The company running the contest compiled the following data during the entire fair. If a participant was randomly selected, how many throws would you expect him or her to make before missing? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A Sonoma County blood bank ran a blood drive on the northern California coast and compiled the following frequency tabulation from the donors. Calculate P(type A). (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.4",
"style": "rule"
}
|
{
"gt_answer": "0.4",
"id": "scemqa_oe--5",
"mc_options": null,
"original_question": "<image>A Sonoma County blood bank ran a blood drive on the northern California coast and compiled the following frequency tabulation from the donors. Calculate P(type A). (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A Sonoma County blood bank ran a blood drive on the northern California coast and compiled the following frequency tabulation from the donors. Calculate P(Rh-pos). (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.8379",
"style": "rule"
}
|
{
"gt_answer": "0.8379",
"id": "scemqa_oe--6",
"mc_options": null,
"original_question": "<image>A Sonoma County blood bank ran a blood drive on the northern California coast and compiled the following frequency tabulation from the donors. Calculate P(Rh-pos). (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A Sonoma County blood bank ran a blood drive on the northern California coast and compiled the following frequency tabulation from the donors.Calculate P(not type O). (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.5517",
"style": "rule"
}
|
{
"gt_answer": "0.5517",
"id": "scemqa_oe--7",
"mc_options": null,
"original_question": "<image>A Sonoma County blood bank ran a blood drive on the northern California coast and compiled the following frequency tabulation from the donors.Calculate P(not type O). (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A Sonoma County blood bank ran a blood drive on the northern California coast and compiled the following frequency tabulation from the donors. Calculate P(type O or type AB). (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.4897",
"style": "rule"
}
|
{
"gt_answer": "0.4897",
"id": "scemqa_oe--8",
"mc_options": null,
"original_question": "<image>A Sonoma County blood bank ran a blood drive on the northern California coast and compiled the following frequency tabulation from the donors. Calculate P(type O or type AB). (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A Sonoma County blood bank ran a blood drive on the northern California coast and compiled the following frequency tabulation from the donors. Calculate P(type O or Rh-neg). (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.5414",
"style": "rule"
}
|
{
"gt_answer": "0.5414",
"id": "scemqa_oe--9",
"mc_options": null,
"original_question": "<image>A Sonoma County blood bank ran a blood drive on the northern California coast and compiled the following frequency tabulation from the donors. Calculate P(type O or Rh-neg). (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Two biomedical statistics classes offered in different semesters produced the following scores on the first quiz. Let the scores from Course #1 be the random variable X and the scores from Course #2 be the random variable Y. Calculate the standard deviation from class 1. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "1.9",
"style": "rule"
}
|
{
"gt_answer": "1.9",
"id": "scemqa_oe--10",
"mc_options": null,
"original_question": "<image>Two biomedical statistics classes offered in different semesters produced the following scores on the first quiz. Let the scores from Course #1 be the random variable X and the scores from Course #2 be the random variable Y. Calculate the standard deviation from class 1. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Two biomedical statistics classes offered in different semesters produced the following scores on the first quiz. Let the scores from Course #1 be the random variable X and the scores from Course #2 be the random variable Y. Assuming that the distribution for this quiz is normal, find the score of the 90th percentile in Course #1 and Course #2. If this is an indication of the level of difficulty of these courses, in which class is it easier to get a 90% or above? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "1",
"style": "rule"
}
|
{
"gt_answer": "1",
"id": "scemqa_oe--11",
"mc_options": null,
"original_question": "<image>Two biomedical statistics classes offered in different semesters produced the following scores on the first quiz. Let the scores from Course #1 be the random variable X and the scores from Course #2 be the random variable Y. Assuming that the distribution for this quiz is normal, find the score of the 90th percentile in Course #1 and Course #2. If this is an indication of the level of difficulty of these courses, in which class is it easier to get a 90% or above? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The table below shows data from Canadian and U.S. ninth-grader test scores. Determine the lower bound of the 95% confidence interval in terms of the values above. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "3.78",
"style": "rule"
}
|
{
"gt_answer": "3.78",
"id": "scemqa_oe--12",
"mc_options": null,
"original_question": "<image>The table below shows data from Canadian and U.S. ninth-grader test scores. Determine the lower bound of the 95% confidence interval in terms of the values above. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A small nonprofit that assists at-risk children in afterschool programs conducts a study of two different neighborhoods to determine whether there is a difference in the proportion of families with children living below the poverty line. Is there evidence of a difference between the two neighborhoods? (Yes or No)",
"role": "user"
}
] |
{
"ground_truth": "Yes",
"style": "rule"
}
|
{
"gt_answer": "Yes",
"id": "scemqa_oe--13",
"mc_options": null,
"original_question": "<image>A small nonprofit that assists at-risk children in afterschool programs conducts a study of two different neighborhoods to determine whether there is a difference in the proportion of families with children living below the poverty line. Is there evidence of a difference between the two neighborhoods? (Yes or No)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Suppose that the data below were collected from a sample of gas stations in Indiana. Using the 95% confidence interval for the percentage of all gas stations in Indiana selling E85, would the null hypothesis H0 : p = 0.61 be rejected at the 5% level? (Yes or No)",
"role": "user"
}
] |
{
"ground_truth": "No",
"style": "rule"
}
|
{
"gt_answer": "No",
"id": "scemqa_oe--14",
"mc_options": null,
"original_question": "<image>Suppose that the data below were collected from a sample of gas stations in Indiana. Using the 95% confidence interval for the percentage of all gas stations in Indiana selling E85, would the null hypothesis H0 : p = 0.61 be rejected at the 5% level? (Yes or No)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A vitamin supplement is purported to increase the short-term memory of those who take it. To determine whether this statement is valid, researchers had a sample of nine individuals take a memory test both with and without the supplement. The test had the participants recite a list of 50 short words right after hearing the list, and a different list was used for each part of the experiment. The data collected are below. Assuming the necessary conditions hold, is there convicing evidence (p-value<0.1) that the supplement increased the number of words correctly recalled? (Yes or No)",
"role": "user"
}
] |
{
"ground_truth": "No",
"style": "rule"
}
|
{
"gt_answer": "No",
"id": "scemqa_oe--15",
"mc_options": null,
"original_question": "<image>A vitamin supplement is purported to increase the short-term memory of those who take it. To determine whether this statement is valid, researchers had a sample of nine individuals take a memory test both with and without the supplement. The test had the participants recite a list of 50 short words right after hearing the list, and a different list was used for each part of the experiment. The data collected are below. Assuming the necessary conditions hold, is there convicing evidence (p-value<0.1) that the supplement increased the number of words correctly recalled? (Yes or No)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A regression analysis on a sample of 23 16-ounce cereal box prices (in dollars) and sugar content (in grams) produced the following computer output. The regression equation is: Price = 2.22 + 0.140. Based on the 95% confidence interval for the true slope of the regression line, is the regression significant at the 5% level? (Yes or No)",
"role": "user"
}
] |
{
"ground_truth": "No",
"style": "rule"
}
|
{
"gt_answer": "No",
"id": "scemqa_oe--16",
"mc_options": null,
"original_question": "<image>A regression analysis on a sample of 23 16-ounce cereal box prices (in dollars) and sugar content (in grams) produced the following computer output. The regression equation is: Price = 2.22 + 0.140. Based on the 95% confidence interval for the true slope of the regression line, is the regression significant at the 5% level? (Yes or No)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A sample of car owners were surveyed and asked whether or not they had owned their vehicle for more than 5 years and also whether it was a car, a truck, or an SUV (with crossovers and similar vehicles being classified as SUVs). The null hypothesis is that there is no association between the two variables. As in all hypothesis tests, we use the null hypothesis to state the expected values of the proportions. If a car owner from this sample was selected at random, what is the probability that he or she has owned his or her primary vehicle for 5 or fewer years? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.6",
"style": "rule"
}
|
{
"gt_answer": "0.6",
"id": "scemqa_oe--17",
"mc_options": null,
"original_question": "<image>A sample of car owners were surveyed and asked whether or not they had owned their vehicle for more than 5 years and also whether it was a car, a truck, or an SUV (with crossovers and similar vehicles being classified as SUVs). The null hypothesis is that there is no association between the two variables. As in all hypothesis tests, we use the null hypothesis to state the expected values of the proportions. If a car owner from this sample was selected at random, what is the probability that he or she has owned his or her primary vehicle for 5 or fewer years? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A sample of car owners were surveyed and asked whether or not they had owned their vehicle for more than 5 years and also whether it was a car, a truck, or an SUV (with crossovers and similar vehicles being classified as SUVs). The null hypothesis is that there is no association between the two variables. As in all hypothesis tests, we use the null hypothesis to state the expected values of the proportions. If a car owner from this sample was selected at random, what is the probability that he or she owns a car? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.15",
"style": "rule"
}
|
{
"gt_answer": "0.15",
"id": "scemqa_oe--18",
"mc_options": null,
"original_question": "<image>A sample of car owners were surveyed and asked whether or not they had owned their vehicle for more than 5 years and also whether it was a car, a truck, or an SUV (with crossovers and similar vehicles being classified as SUVs). The null hypothesis is that there is no association between the two variables. As in all hypothesis tests, we use the null hypothesis to state the expected values of the proportions. If a car owner from this sample was selected at random, what is the probability that he or she owns a car? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>In a recent survey taken about the major channels on TV, it was found that channels 2, 3, 4, and 5 captured 30%, 25%, 20%, and 25% of the audience, respectively. During the first week of the new season, 500 viewers were interviewed. Suppose that the actual observed numbers are as follows. Are the differences significant? (Yes or No)",
"role": "user"
}
] |
{
"ground_truth": "No",
"style": "rule"
}
|
{
"gt_answer": "No",
"id": "scemqa_oe--19",
"mc_options": null,
"original_question": "<image>In a recent survey taken about the major channels on TV, it was found that channels 2, 3, 4, and 5 captured 30%, 25%, 20%, and 25% of the audience, respectively. During the first week of the new season, 500 viewers were interviewed. Suppose that the actual observed numbers are as follows. Are the differences significant? (Yes or No)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Let $ g(t) = \\int_{0}^{t} f(x) , dx $ and consider the graph of $ f $ shown below. Evaluate $ g(6) $. \n(Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "7",
"style": "rule"
}
|
{
"gt_answer": "7",
"id": "scemqa_oe--20",
"mc_options": null,
"original_question": "<image>Let $ g(t) = \\int_{0}^{t} f(x) , dx $ and consider the graph of $ f $ shown below. Evaluate $ g(6) $. \n(Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Let $ g(t) = \\int_{0}^{t} f(x) , dx $ and consider the graph of $ f $ shown below. At what value(s) of t does g have a minimum value? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "3.5",
"style": "rule"
}
|
{
"gt_answer": "3.5",
"id": "scemqa_oe--21",
"mc_options": null,
"original_question": "<image>Let $ g(t) = \\int_{0}^{t} f(x) , dx $ and consider the graph of $ f $ shown below. At what value(s) of t does g have a minimum value? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Let $ g(t) = \\int_{0}^{t} f(x) , dx $ and consider the graph of $ f $ shown below. How long is the interval where g concave down? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
{
"gt_answer": "2",
"id": "scemqa_oe--22",
"mc_options": null,
"original_question": "<image>Let $ g(t) = \\int_{0}^{t} f(x) , dx $ and consider the graph of $ f $ shown below. How long is the interval where g concave down? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>There is an area $ A $ bounded by the curve and the x-axis. Use a right-hand Riemann sum to find area $ A $ on the interval from $ x = 0 $ to $ x = 4 $, using 4 subdivisions of equal length. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "30",
"style": "rule"
}
|
{
"gt_answer": "30",
"id": "scemqa_oe--23",
"mc_options": null,
"original_question": "<image>There is an area $ A $ bounded by the curve and the x-axis. Use a right-hand Riemann sum to find area $ A $ on the interval from $ x = 0 $ to $ x = 4 $, using 4 subdivisions of equal length. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>There is an area $ A $ bounded by the curve and the x-axis. Find the area $ A $ on the interval from $ x = 0 $ to $ x = 4 $ using 8 subdivisions of equal length. \n(Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "25.5",
"style": "rule"
}
|
{
"gt_answer": "25.5",
"id": "scemqa_oe--24",
"mc_options": null,
"original_question": "<image>There is an area $ A $ bounded by the curve and the x-axis. Find the area $ A $ on the interval from $ x = 0 $ to $ x = 4 $ using 8 subdivisions of equal length. \n(Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>There is an area $ A $ bounded by the curve and the x-axis. Now find area $ A $ by integrating $ f(x) $ over the interval $ (0, 4) $. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": " 7",
"style": "rule"
}
|
{
"gt_answer": " 7",
"id": "scemqa_oe--25",
"mc_options": null,
"original_question": "<image>There is an area $ A $ bounded by the curve and the x-axis. Now find area $ A $ by integrating $ f(x) $ over the interval $ (0, 4) $. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Consider a triangle in the xy-plane with vertices at $ A = (0, 1) $, $ B = (2, 3) $, and $ C = (3, 1) $. Let $ R $ denote the region that is bounded by the triangle shown in the figure below. Find the volume of the solid obtained by rotating $ R $ about the x-axis. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "31.416",
"style": "rule"
}
|
{
"gt_answer": "31.416",
"id": "scemqa_oe--26",
"mc_options": null,
"original_question": "<image>Consider a triangle in the xy-plane with vertices at $ A = (0, 1) $, $ B = (2, 3) $, and $ C = (3, 1) $. Let $ R $ denote the region that is bounded by the triangle shown in the figure below. Find the volume of the solid obtained by rotating $ R $ about the x-axis. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Consider a triangle in the xy-plane with vertices at $ A = (0, 1) $, $ B = (2, 3) $, and $ C = (3, 1) $. Let $ R $ denote the region that is bounded by the triangle shown in the figure below. Find the volume of the solid obtained by rotating $ R $ about the y-axis. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "31.416",
"style": "rule"
}
|
{
"gt_answer": "31.416",
"id": "scemqa_oe--27",
"mc_options": null,
"original_question": "<image>Consider a triangle in the xy-plane with vertices at $ A = (0, 1) $, $ B = (2, 3) $, and $ C = (3, 1) $. Let $ R $ denote the region that is bounded by the triangle shown in the figure below. Find the volume of the solid obtained by rotating $ R $ about the y-axis. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Consider a triangle in the xy-plane with vertices at $ A = (0, 1) $, $ B = (2, 3) $, and $ C = (3, 1) $. Let $ R $ denote the region that is bounded by the triangle shown in the figure below. Find the volume of the solid having R as its base while cross-sections perpendicular to the x-axis are squares.(Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
{
"gt_answer": "4",
"id": "scemqa_oe--28",
"mc_options": null,
"original_question": "<image>Consider a triangle in the xy-plane with vertices at $ A = (0, 1) $, $ B = (2, 3) $, and $ C = (3, 1) $. Let $ R $ denote the region that is bounded by the triangle shown in the figure below. Find the volume of the solid having R as its base while cross-sections perpendicular to the x-axis are squares.(Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A social scientist sampled 140 people and classified them according to income level and whether they played a state lottery in the last month. The sample information is reported below. Is it reasonable to conclude that playing the lottery is related to income level? Use a 0.05 significance level. What is this table called? (Answer is a word.)",
"role": "user"
}
] |
{
"ground_truth": "Contingency table",
"style": "rule"
}
|
{
"gt_answer": "Contingency table",
"id": "scemqa_oe--29",
"mc_options": null,
"original_question": "<image>A social scientist sampled 140 people and classified them according to income level and whether they played a state lottery in the last month. The sample information is reported below. Is it reasonable to conclude that playing the lottery is related to income level? Use a 0.05 significance level. What is this table called? (Answer is a word.)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A media company plans to publish a special edition of a newspaper. Past experience shows that the number of newspapers the company will sell is described by the following table: What is the probability that the company will sell less than 250,000 newspapers? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.47",
"style": "rule"
}
|
{
"gt_answer": "0.47",
"id": "scemqa_oe--30",
"mc_options": null,
"original_question": "<image>A media company plans to publish a special edition of a newspaper. Past experience shows that the number of newspapers the company will sell is described by the following table: What is the probability that the company will sell less than 250,000 newspapers? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A sample of car owners were surveyed and asked whether or not they had owned their vehicle for more than 5 years and also whether it was a car, a truck, or an SUV (with crossovers and similar vehicles being classified as SUVs). The null hypothesis is that there is no association between the two variables. As in all hypothesis tests, we use the null hypothesis to state the expected values of the proportions. If a car owner from this sample was selected at random, what is the probability that he or she owns a car? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.14",
"style": "rule"
}
|
{
"gt_answer": "0.14",
"id": "scemqa_oe--31",
"mc_options": null,
"original_question": "<image>A sample of car owners were surveyed and asked whether or not they had owned their vehicle for more than 5 years and also whether it was a car, a truck, or an SUV (with crossovers and similar vehicles being classified as SUVs). The null hypothesis is that there is no association between the two variables. As in all hypothesis tests, we use the null hypothesis to state the expected values of the proportions. If a car owner from this sample was selected at random, what is the probability that he or she owns a car? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A sample of car owners were surveyed and asked whether or not they had owned their vehicle for more than 5 years and also whether it was a car, a truck, or an SUV (with crossovers and similar vehicles being classified as SUVs). The null hypothesis is that there is no association between the two variables. As in all hypothesis tests, we use the null hypothesis to state the expected values of the proportions. If a car owner from this sample was selected at random, what is the probability that he or she has owned his or her primary vehicle for 5 or fewer years? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.6",
"style": "rule"
}
|
{
"gt_answer": "0.6",
"id": "scemqa_oe--32",
"mc_options": null,
"original_question": "<image>A sample of car owners were surveyed and asked whether or not they had owned their vehicle for more than 5 years and also whether it was a car, a truck, or an SUV (with crossovers and similar vehicles being classified as SUVs). The null hypothesis is that there is no association between the two variables. As in all hypothesis tests, we use the null hypothesis to state the expected values of the proportions. If a car owner from this sample was selected at random, what is the probability that he or she has owned his or her primary vehicle for 5 or fewer years? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Evaluate $ \\int_{C} 16y^5 , ds $ where $ C $ is the portion of $ x = y^4 $ from $ y = 0 $ to $ y = 1 $ followed by the line segment from $ (1, 1) $ to $ (1, -2) $ which in turn is followed by the line segment from $ (1, -2) $ to $ (2, 0) $. See the sketch below for the direction.\n(Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": " -351.1341",
"style": "rule"
}
|
{
"gt_answer": " -351.1341",
"id": "scemqa_oe--33",
"mc_options": null,
"original_question": "<image>Evaluate $ \\int_{C} 16y^5 , ds $ where $ C $ is the portion of $ x = y^4 $ from $ y = 0 $ to $ y = 1 $ followed by the line segment from $ (1, 1) $ to $ (1, -2) $ which in turn is followed by the line segment from $ (1, -2) $ to $ (2, 0) $. See the sketch below for the direction.\n(Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out the corners and fold up the sides to form a box. Determine the height of the box that will give a maximum volume.",
"role": "user"
}
] |
{
"ground_truth": "4.4018",
"style": "rule"
}
|
{
"gt_answer": "4.4018",
"id": "scemqa_oe--34",
"mc_options": null,
"original_question": "<image>We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out the corners and fold up the sides to form a box. Determine the height of the box that will give a maximum volume."
}
|
|
scemqa_oe
|
[
{
"content": "<image>We want to construct a window whose middle is a rectangle and the top and bottom of the window are semi-circles. If we have 50 meters of framing material what are the dimensions of the window that will let in the most light? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": " 7.957",
"style": "rule"
}
|
{
"gt_answer": " 7.957",
"id": "scemqa_oe--35",
"mc_options": null,
"original_question": "<image>We want to construct a window whose middle is a rectangle and the top and bottom of the window are semi-circles. If we have 50 meters of framing material what are the dimensions of the window that will let in the most light? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Let $ R $ be the region in the first quadrant bounded by the graphs of $ f(x) = 5x - x^2 $ and $ g(x) = 2^x - 1 $ as shown in the figure above. Find the area of region $ R $. \n (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "6.481",
"style": "rule"
}
|
{
"gt_answer": "6.481",
"id": "scemqa_oe--36",
"mc_options": null,
"original_question": "<image>Let $ R $ be the region in the first quadrant bounded by the graphs of $ f(x) = 5x - x^2 $ and $ g(x) = 2^x - 1 $ as shown in the figure above. Find the area of region $ R $. \n (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The figure above represents the function f’ a continuous function, the derivative of f over the interval [-4, 6] and satisfies f(0) = 4. The graph of f’ consists of three line segments and a semi-circle. Find the value of f(-4). (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "-2.28",
"style": "rule"
}
|
{
"gt_answer": "-2.28",
"id": "scemqa_oe--37",
"mc_options": null,
"original_question": "<image>The figure above represents the function f’ a continuous function, the derivative of f over the interval [-4, 6] and satisfies f(0) = 4. The graph of f’ consists of three line segments and a semi-circle. Find the value of f(-4). (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The figure above represents the function f’ a continuous function, the derivative of f over the interval [-4, 6] and satisfies f(0) = 4. The graph of f’ consists of three line segments and a semi-circle. Evaluate $ \\int_{2}^{3} f''(2x)dx $ (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "1",
"style": "rule"
}
|
{
"gt_answer": "1",
"id": "scemqa_oe--38",
"mc_options": null,
"original_question": "<image>The figure above represents the function f’ a continuous function, the derivative of f over the interval [-4, 6] and satisfies f(0) = 4. The graph of f’ consists of three line segments and a semi-circle. Evaluate $ \\int_{2}^{3} f''(2x)dx $ (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The shaded region, R, is bounded by the graph of $ y = x^2 $ and the line $ y = 4 $, as shown in the figure above. Find the area of R. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "10.667",
"style": "rule"
}
|
{
"gt_answer": "10.667",
"id": "scemqa_oe--39",
"mc_options": null,
"original_question": "<image>The shaded region, R, is bounded by the graph of $ y = x^2 $ and the line $ y = 4 $, as shown in the figure above. Find the area of R. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The shaded region, R, is bounded by the graph of $ y = x^2 $ and the line $ y = 4 $, as shown in the figure above. Find the volume of the solid generated by revolving R about the x-axis. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "160.85",
"style": "rule"
}
|
{
"gt_answer": "160.85",
"id": "scemqa_oe--40",
"mc_options": null,
"original_question": "<image>The shaded region, R, is bounded by the graph of $ y = x^2 $ and the line $ y = 4 $, as shown in the figure above. Find the volume of the solid generated by revolving R about the x-axis. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The graph of function h is shown below. How many zeros does the first derivative h' of h have? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "5",
"style": "rule"
}
|
{
"gt_answer": "5",
"id": "scemqa_oe--41",
"mc_options": null,
"original_question": "<image>The graph of function h is shown below. How many zeros does the first derivative h' of h have? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The graph of a polynomial f is shown below. If f' is the first derivative of f, then the remainder of the division of f'(x) by x - b is more likely to be equal to? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0",
"style": "rule"
}
|
{
"gt_answer": "0",
"id": "scemqa_oe--42",
"mc_options": null,
"original_question": "<image>The graph of a polynomial f is shown below. If f' is the first derivative of f, then the remainder of the division of f'(x) by x - b is more likely to be equal to? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The function f shown in the graph above has horizontal tangents at (–2,1) and (1,–2) and vertical tangents at (–1,0) and (3,0). For how many values of x in the interval (–5,5) is the function not differentiable? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
{
"gt_answer": "4",
"id": "scemqa_oe--43",
"mc_options": null,
"original_question": "<image>The function f shown in the graph above has horizontal tangents at (–2,1) and (1,–2) and vertical tangents at (–1,0) and (3,0). For how many values of x in the interval (–5,5) is the function not differentiable? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The graph of a piecewise linear function f(x) for $-2 \\leq x \\leq 3 $ is shown above. What is the value of $\\int_{-2}^{3} f(x)dx?$ (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "6.5",
"style": "rule"
}
|
{
"gt_answer": "6.5",
"id": "scemqa_oe--44",
"mc_options": null,
"original_question": "<image>The graph of a piecewise linear function f(x) for $-2 \\leq x \\leq 3 $ is shown above. What is the value of $\\int_{-2}^{3} f(x)dx?$ (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Let R be the region bounded by the graphs of $ y = \\cos\\left(\\frac{\\pi x}{2}\\right) $ and $ y = x^2 - 1 $, as shown in the figure above. Find the area of R. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "2.607",
"style": "rule"
}
|
{
"gt_answer": "2.607",
"id": "scemqa_oe--45",
"mc_options": null,
"original_question": "<image>Let R be the region bounded by the graphs of $ y = \\cos\\left(\\frac{\\pi x}{2}\\right) $ and $ y = x^2 - 1 $, as shown in the figure above. Find the area of R. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Let R be the region bounded by the graphs of $ y = \\cos\\left(\\frac{\\pi x}{2}\\right) $ and $ y = x^2 - 1 $, as shown in the figure above. The line y k = splits the region R into two equal parts. Find the value of k. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "-0.015",
"style": "rule"
}
|
{
"gt_answer": "-0.015",
"id": "scemqa_oe--46",
"mc_options": null,
"original_question": "<image>Let R be the region bounded by the graphs of $ y = \\cos\\left(\\frac{\\pi x}{2}\\right) $ and $ y = x^2 - 1 $, as shown in the figure above. The line y k = splits the region R into two equal parts. Find the value of k. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Let R be the region bounded by the graphs of $ y = \\cos\\left(\\frac{\\pi x}{2}\\right) $ and $ y = x^2 - 1 $, as shown in the figure above. The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a semicircle. Find the volume of this solid. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "1.622",
"style": "rule"
}
|
{
"gt_answer": "1.622",
"id": "scemqa_oe--47",
"mc_options": null,
"original_question": "<image>Let R be the region bounded by the graphs of $ y = \\cos\\left(\\frac{\\pi x}{2}\\right) $ and $ y = x^2 - 1 $, as shown in the figure above. The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a semicircle. Find the volume of this solid. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Following is a cumulative probability graph for the number of births per day in a city hospital. Assuming that a birthing room can be used by only one woman per day, how many rooms must the hospital have available to be able to meet the demand at least 90 percent of the days? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "20",
"style": "rule"
}
|
{
"gt_answer": "20",
"id": "scemqa_oe--48",
"mc_options": null,
"original_question": "<image>Following is a cumulative probability graph for the number of births per day in a city hospital. Assuming that a birthing room can be used by only one woman per day, how many rooms must the hospital have available to be able to meet the demand at least 90 percent of the days? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The stemplot below shows the number of hot dogs eaten by contestants in a recent hot dog eating contest. What is the median? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "46",
"style": "rule"
}
|
{
"gt_answer": "46",
"id": "scemqa_oe--49",
"mc_options": null,
"original_question": "<image>The stemplot below shows the number of hot dogs eaten by contestants in a recent hot dog eating contest. What is the median? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\nA student conducts a lab and obtains the following velocity versus time graph: Estimate a value for the displacement of the object during the first 7 s of the trip. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.39",
"style": "rule"
}
|
{
"gt_answer": "0.39",
"id": "scemqa_oe--50",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\nA student conducts a lab and obtains the following velocity versus time graph: Estimate a value for the displacement of the object during the first 7 s of the trip. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\nThe acceleration versus time of a bicycle rider is shown here: Assuming that the bicycle starts from the origin at an initial velocity of +4 m/s, complete the following questions: Determine the total distance traveled during the 5 s of motion. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "32",
"style": "rule"
}
|
{
"gt_answer": "32",
"id": "scemqa_oe--51",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\nThe acceleration versus time of a bicycle rider is shown here: Assuming that the bicycle starts from the origin at an initial velocity of +4 m/s, complete the following questions: Determine the total distance traveled during the 5 s of motion. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\nA physics student is analyzing the motion of a cart using video analysis. A low-friction lab cart is initially rolling on a long track, while a camera is taking pictures of the cart with a frame rate of 30 frames per second. The following dots show the location of the front of the cart in each picture during the entire time the cart travels 2 m on the track. Show calculation(s) to estimate the velocity of the cart at the end of the second track. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "8",
"style": "rule"
}
|
{
"gt_answer": "8",
"id": "scemqa_oe--52",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\nA physics student is analyzing the motion of a cart using video analysis. A low-friction lab cart is initially rolling on a long track, while a camera is taking pictures of the cart with a frame rate of 30 frames per second. The following dots show the location of the front of the cart in each picture during the entire time the cart travels 2 m on the track. Show calculation(s) to estimate the velocity of the cart at the end of the second track. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information. An object of mass m is moving according to the graph above. Three students are actively discussing how the total displacement of the object could be calculated from the graph above.\n\nStudent #1: First, find the average velocity for the entire trip by finding the sum of the initial and final velocities and dividing by two. Then, to calculate the displacement, multiply that average velocity by the total time for the entire trip.\n\nStudent #2: First, I would calculate acceleration using and then calculate displacement using $a = \\frac{\\Delta v}{\\Delta t} = \\frac{v_2 - v_1}{t_2 - 0}$ and then calculate displacement using $\\Delta x = v_1 t + \\frac{1}{2} a t^2$\n\nStudent #3: I would first find the displacement for the first part of the trip by taking $v_1 * t_1$ . Then, I would find the displacement for the second part of the trip by $\\left( \\frac{v_1 + v_2}{2} \\right) (t_2 - t_1)$ . Then I would add the two displacements together. Discuss which of the students are correct, if any. Only answer the number of that student. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "3",
"style": "rule"
}
|
{
"gt_answer": "3",
"id": "scemqa_oe--53",
"mc_options": null,
"original_question": "<image>refer to the following information. An object of mass m is moving according to the graph above. Three students are actively discussing how the total displacement of the object could be calculated from the graph above.\n\nStudent #1: First, find the average velocity for the entire trip by finding the sum of the initial and final velocities and dividing by two. Then, to calculate the displacement, multiply that average velocity by the total time for the entire trip.\n\nStudent #2: First, I would calculate acceleration using and then calculate displacement using $a = \\frac{\\Delta v}{\\Delta t} = \\frac{v_2 - v_1}{t_2 - 0}$ and then calculate displacement using $\\Delta x = v_1 t + \\frac{1}{2} a t^2$\n\nStudent #3: I would first find the displacement for the first part of the trip by taking $v_1 * t_1$ . Then, I would find the displacement for the second part of the trip by $\\left( \\frac{v_1 + v_2}{2} \\right) (t_2 - t_1)$ . Then I would add the two displacements together. Discuss which of the students are correct, if any. Only answer the number of that student. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>An experiment with a 550-g dynamic cart produces the following position versus time graph. Use the duplicate graph below, along with calculations, to estimate the velocities at the clock readings of 5.0 s. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "-0.2",
"style": "rule"
}
|
{
"gt_answer": "-0.2",
"id": "scemqa_oe--54",
"mc_options": null,
"original_question": "<image>An experiment with a 550-g dynamic cart produces the following position versus time graph. Use the duplicate graph below, along with calculations, to estimate the velocities at the clock readings of 5.0 s. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\nOn October 14, 2012, Felix Baumgartner jumped from a helium balloon that had risen to the stratosphere, 39 km above the surface of planet Earth. The data table below displays a 28-second portion of the speed data from Felix Baumgartner's infamous jump.Calculate the magnitude of Felix's acceleration at clock readings of 22.0 s. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "8.9",
"style": "rule"
}
|
{
"gt_answer": "8.9",
"id": "scemqa_oe--55",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\nOn October 14, 2012, Felix Baumgartner jumped from a helium balloon that had risen to the stratosphere, 39 km above the surface of planet Earth. The data table below displays a 28-second portion of the speed data from Felix Baumgartner's infamous jump.Calculate the magnitude of Felix's acceleration at clock readings of 22.0 s. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nTwo air track sliders have force probes linked together on a horizontal air track as shown in the diagram above. Slider A has a mass of 1,000 grams and slider B has a mass of 500 kg. Someone grabs slider A and interacts with it for 1 second of time. Force probe B is calibrated such that a pushing force to the right is positive and a pulling force to the left is negative. Force probe B measures the force during that 1 second of time as shown in the graph. Estimate the value of the displacement of the sliders during the 1 second of elapsed time, clearly showing your calculations. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "-0.6",
"style": "rule"
}
|
{
"gt_answer": "-0.6",
"id": "scemqa_oe--56",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nTwo air track sliders have force probes linked together on a horizontal air track as shown in the diagram above. Slider A has a mass of 1,000 grams and slider B has a mass of 500 kg. Someone grabs slider A and interacts with it for 1 second of time. Force probe B is calibrated such that a pushing force to the right is positive and a pulling force to the left is negative. Force probe B measures the force during that 1 second of time as shown in the graph. Estimate the value of the displacement of the sliders during the 1 second of elapsed time, clearly showing your calculations. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nTwo air track sliders have force probes linked together on a horizontal air track as shown in the diagram above. Slider A has a mass of 1,000 grams and slider B has a mass of 500 kg. Someone grabs slider A and interacts with it for 1 second of time. Force probe B is calibrated such that a pushing force to the right is positive and a pulling force to the left is negative. Force probe B measures the force during that 1 second of time as shown in the graph. What value of a constant force in the time interval between 1.0 and 1.5 s would be measured by slider B's force probe in order to return the slider system to its starting position? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "3.06",
"style": "rule"
}
|
{
"gt_answer": "3.06",
"id": "scemqa_oe--57",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nTwo air track sliders have force probes linked together on a horizontal air track as shown in the diagram above. Slider A has a mass of 1,000 grams and slider B has a mass of 500 kg. Someone grabs slider A and interacts with it for 1 second of time. Force probe B is calibrated such that a pushing force to the right is positive and a pulling force to the left is negative. Force probe B measures the force during that 1 second of time as shown in the graph. What value of a constant force in the time interval between 1.0 and 1.5 s would be measured by slider B's force probe in order to return the slider system to its starting position? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nA 10-kg box starts from rest and slides down an inclined plane for 2.0 s as shown in the diagram above. The coefficient of friction between the box and the inclined plane is 0.1. Calculate the force of friction on the box.",
"role": "user"
}
] |
{
"ground_truth": "8.5",
"style": "rule"
}
|
{
"gt_answer": "8.5",
"id": "scemqa_oe--58",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nA 10-kg box starts from rest and slides down an inclined plane for 2.0 s as shown in the diagram above. The coefficient of friction between the box and the inclined plane is 0.1. Calculate the force of friction on the box."
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nA 10-kg box starts from rest and slides down an inclined plane for 2.0 s as shown in the diagram above. The coefficient of friction between the box and the inclined plane is 0.1. Calculate the acceleration of the box. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "4.1",
"style": "rule"
}
|
{
"gt_answer": "4.1",
"id": "scemqa_oe--59",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nA 10-kg box starts from rest and slides down an inclined plane for 2.0 s as shown in the diagram above. The coefficient of friction between the box and the inclined plane is 0.1. Calculate the acceleration of the box. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nA 10-kg box starts from rest and slides down an inclined plane for 2.0 s as shown in the diagram above. The coefficient of friction between the box and the inclined plane is 0.1. Calculate the final velocity of the box and the distance that the box moves down the plane in the given time interval. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "8.1",
"style": "rule"
}
|
{
"gt_answer": "8.1",
"id": "scemqa_oe--60",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nA 10-kg box starts from rest and slides down an inclined plane for 2.0 s as shown in the diagram above. The coefficient of friction between the box and the inclined plane is 0.1. Calculate the final velocity of the box and the distance that the box moves down the plane in the given time interval. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nThe person in the diagram above pulls on the right end of the chain with a 30 N force. Assume that surface has negligible friction. Calculate the value of the acceleration of the box if the chain has a mass of 1.0 kg. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "5",
"style": "rule"
}
|
{
"gt_answer": "5",
"id": "scemqa_oe--61",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nThe person in the diagram above pulls on the right end of the chain with a 30 N force. Assume that surface has negligible friction. Calculate the value of the acceleration of the box if the chain has a mass of 1.0 kg. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nThe person in the diagram above pulls on the right end of the chain with a 30 N force. Assume that surface has negligible friction. Determine the force that the chain pulls on the box in the two cases above, clearly explaining your reasoning with words and calculation. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "25",
"style": "rule"
}
|
{
"gt_answer": "25",
"id": "scemqa_oe--62",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nThe person in the diagram above pulls on the right end of the chain with a 30 N force. Assume that surface has negligible friction. Determine the force that the chain pulls on the box in the two cases above, clearly explaining your reasoning with words and calculation. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nThe person in the diagram above pulls on the right end of the chain with a 30 N force. Assume that surface has negligible friction. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "27.5",
"style": "rule"
}
|
{
"gt_answer": "27.5",
"id": "scemqa_oe--63",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nThe person in the diagram above pulls on the right end of the chain with a 30 N force. Assume that surface has negligible friction. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nIn tests of a 120-g, two-stage model rocket engine, the force produced by the engine was graphed during a 15-second burn as shown above. This engine is installed in an 80-g model rocket and the rocket is fired vertically from rest. Assuming that aerodynamic forces of drag and lift on the rocket are negligible, complete the following questions. Determine the maximum height of the rocket's trajectory. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "1000",
"style": "rule"
}
|
{
"gt_answer": "1000",
"id": "scemqa_oe--64",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nIn tests of a 120-g, two-stage model rocket engine, the force produced by the engine was graphed during a 15-second burn as shown above. This engine is installed in an 80-g model rocket and the rocket is fired vertically from rest. Assuming that aerodynamic forces of drag and lift on the rocket are negligible, complete the following questions. Determine the maximum height of the rocket's trajectory. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nIn tests of a 120-g, two-stage model rocket engine, the force produced by the engine was graphed during a 15-second burn as shown above. This engine is installed in an 80-g model rocket and the rocket is fired vertically from rest. Assuming that aerodynamic forces of drag and lift on the rocket are negligible, complete the following questions. Determine the elapsed time between takeoff and when it arrives back to its launch pad. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "31",
"style": "rule"
}
|
{
"gt_answer": "31",
"id": "scemqa_oe--65",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nIn tests of a 120-g, two-stage model rocket engine, the force produced by the engine was graphed during a 15-second burn as shown above. This engine is installed in an 80-g model rocket and the rocket is fired vertically from rest. Assuming that aerodynamic forces of drag and lift on the rocket are negligible, complete the following questions. Determine the elapsed time between takeoff and when it arrives back to its launch pad. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nThe diagram above shows a ball of mass m hanging from a rope in a truck on a planet with a gravitational acceleration of g. Determine the value of the angle $\\theta$ when the acceleration of the truck has a magnitude $\\frac{g}{\\sqrt 3}$. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "30",
"style": "rule"
}
|
{
"gt_answer": "30",
"id": "scemqa_oe--66",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nThe diagram above shows a ball of mass m hanging from a rope in a truck on a planet with a gravitational acceleration of g. Determine the value of the angle $\\theta$ when the acceleration of the truck has a magnitude $\\frac{g}{\\sqrt 3}$. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nThree students are discussing a physics problem. They make three different claims about the trunk moving to the right at a constant velocity.\n\nStudent #1: \"The value of tension force is greater than the value of the kinetic friction force because the trunk is moving to the right, which requires a net force.\"\n\nStudent #2: \"The tension force has the same value as the kinetic friction force because there can't be a net force on a trunk that's in a state of constant velocity.\"\n\nStudent #3: \"It's obvious that the tension force and the kinetic friction comprise a Newton's third law pair; thus they are equal in magnitude and opposite in direction.\" Whose argument do you support? Only answer the number of the student. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
{
"gt_answer": "2",
"id": "scemqa_oe--67",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nThree students are discussing a physics problem. They make three different claims about the trunk moving to the right at a constant velocity.\n\nStudent #1: \"The value of tension force is greater than the value of the kinetic friction force because the trunk is moving to the right, which requires a net force.\"\n\nStudent #2: \"The tension force has the same value as the kinetic friction force because there can't be a net force on a trunk that's in a state of constant velocity.\"\n\nStudent #3: \"It's obvious that the tension force and the kinetic friction comprise a Newton's third law pair; thus they are equal in magnitude and opposite in direction.\" Whose argument do you support? Only answer the number of the student. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\nA box of mass m is placed on an incline plane of length ℓ on a planet with a gravitational acceleration of g. The box is initially at rest; the incline angle is slowly increased, and the box begins to break free when the angle reaches 30 degrees. At that angle, the box begins to accelerate at a rate of g/10. Estimate the value of the static friction coefficient.",
"role": "user"
}
] |
{
"ground_truth": "0.58",
"style": "rule"
}
|
{
"gt_answer": "0.58",
"id": "scemqa_oe--68",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\nA box of mass m is placed on an incline plane of length ℓ on a planet with a gravitational acceleration of g. The box is initially at rest; the incline angle is slowly increased, and the box begins to break free when the angle reaches 30 degrees. At that angle, the box begins to accelerate at a rate of g/10. Estimate the value of the static friction coefficient."
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\nA box of mass m is placed on an incline plane of length ℓ on a planet with a gravitational acceleration of g. The box is initially at rest; the incline angle is slowly increased, and the box begins to break free when the angle reaches 30 degrees. At that angle, the box begins to accelerate at a rate of g/10. Determine the value of the kinetic friction coefficient. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.46",
"style": "rule"
}
|
{
"gt_answer": "0.46",
"id": "scemqa_oe--69",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\nA box of mass m is placed on an incline plane of length ℓ on a planet with a gravitational acceleration of g. The box is initially at rest; the incline angle is slowly increased, and the box begins to break free when the angle reaches 30 degrees. At that angle, the box begins to accelerate at a rate of g/10. Determine the value of the kinetic friction coefficient. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\n\n\nA race car makes a turn on a banked track as shown above. Calculate the car's maximum speed, assuming the track is frictionless. Use m = 1,000 kg, R = 300 m, and θ = 30°. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "42",
"style": "rule"
}
|
{
"gt_answer": "42",
"id": "scemqa_oe--70",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\n\n\nA race car makes a turn on a banked track as shown above. Calculate the car's maximum speed, assuming the track is frictionless. Use m = 1,000 kg, R = 300 m, and θ = 30°. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\nThe graph below shows the external force applied to a 15-kg object throughout a displacement of 8.0 m. How much work was done on the object throughout the 8.0-m displacement? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "72",
"style": "rule"
}
|
{
"gt_answer": "72",
"id": "scemqa_oe--71",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\nThe graph below shows the external force applied to a 15-kg object throughout a displacement of 8.0 m. How much work was done on the object throughout the 8.0-m displacement? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\nThe graph below shows the external force applied to a 15-kg object throughout a displacement of 8.0 m. If the object was initially moving with a velocity of +4.0 m/s (before the force was applied), calculate the object's kinetic energy after the work was done on it.\n(Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "192",
"style": "rule"
}
|
{
"gt_answer": "192",
"id": "scemqa_oe--72",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\nThe graph below shows the external force applied to a 15-kg object throughout a displacement of 8.0 m. If the object was initially moving with a velocity of +4.0 m/s (before the force was applied), calculate the object's kinetic energy after the work was done on it.\n(Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\nThe graph below shows the external force applied to a 15-kg object throughout a displacement of 8.0 m. Calculate the speed of the object after the work was done on it. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "5.1",
"style": "rule"
}
|
{
"gt_answer": "5.1",
"id": "scemqa_oe--73",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\nThe graph below shows the external force applied to a 15-kg object throughout a displacement of 8.0 m. Calculate the speed of the object after the work was done on it. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>refer to the following information.\n\nThe graph below shows the external force applied to a 15-kg object throughout a displacement of 8.0 m. Next, the object hits a compressional spring with a spring constant of 650 N/m. Calculate the maximum compression of the spring. \n (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.77",
"style": "rule"
}
|
{
"gt_answer": "0.77",
"id": "scemqa_oe--74",
"mc_options": null,
"original_question": "<image>refer to the following information.\n\nThe graph below shows the external force applied to a 15-kg object throughout a displacement of 8.0 m. Next, the object hits a compressional spring with a spring constant of 650 N/m. Calculate the maximum compression of the spring. \n (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>As shown in the diagram above, A block is initially pressed against a massless spring on a frictionless surface. The block reaches a maximum height h before it slides back down the curved ramp. Two AP physics students are discussing the role that energy and systems serve in this scenario. At different points in their discussion, they make the following statements:\n\nStudent #1: The total mechanical energy in the spring-block system remains the same from the point of release all the way to when the block reaches its maximum height. That means that the initial spring potential energy transfers completely into gravitational potential energy at the top of the ramp.\n\nStudent #2: As the block goes up the ramp, I know that mechanical energy of the Earth-block system stays the same, so the kinetic energy at the bottom of the ramp is completely responsible for the change in gravitational potential energy during its trip up to the top of the ramp. Since the gravitational energy height is half its gravitational potential energy at the top, its speed at height must be half its speed at the bottom of the ramp.\n\nAnalyze Student #1's second sentence (taken alone, independent of the first sentence) and state whether it is correct or not. (Answer yes or no)",
"role": "user"
}
] |
{
"ground_truth": "Yes",
"style": "rule"
}
|
{
"gt_answer": "Yes",
"id": "scemqa_oe--75",
"mc_options": null,
"original_question": "<image>As shown in the diagram above, A block is initially pressed against a massless spring on a frictionless surface. The block reaches a maximum height h before it slides back down the curved ramp. Two AP physics students are discussing the role that energy and systems serve in this scenario. At different points in their discussion, they make the following statements:\n\nStudent #1: The total mechanical energy in the spring-block system remains the same from the point of release all the way to when the block reaches its maximum height. That means that the initial spring potential energy transfers completely into gravitational potential energy at the top of the ramp.\n\nStudent #2: As the block goes up the ramp, I know that mechanical energy of the Earth-block system stays the same, so the kinetic energy at the bottom of the ramp is completely responsible for the change in gravitational potential energy during its trip up to the top of the ramp. Since the gravitational energy height is half its gravitational potential energy at the top, its speed at height must be half its speed at the bottom of the ramp.\n\nAnalyze Student #1's second sentence (taken alone, independent of the first sentence) and state whether it is correct or not. (Answer yes or no)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>As shown in the diagram above, two resting blocks (4.0 kg and 8.0 kg) have a massless spring (spring constant 2,400 N/m) compressed between them. Upon release from the spring, the 8.0 kg block moves to the right at 10.0 m/s on a frictionless surface.\n\nCalculate the compression distance of the spring. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "1",
"style": "rule"
}
|
{
"gt_answer": "1",
"id": "scemqa_oe--76",
"mc_options": null,
"original_question": "<image>As shown in the diagram above, two resting blocks (4.0 kg and 8.0 kg) have a massless spring (spring constant 2,400 N/m) compressed between them. Upon release from the spring, the 8.0 kg block moves to the right at 10.0 m/s on a frictionless surface.\n\nCalculate the compression distance of the spring. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>As shown in the diagram above, two resting blocks (4.0 kg and 8.0 kg) have a massless spring (spring constant 2,400 N/m) compressed between them. Upon release from the spring, the 8.0 kg block moves to the right at 10.0 m/s on a frictionless surface.\n\nCalculate the vertical distance the 8.0-kg block moves up the curved ramp. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "5",
"style": "rule"
}
|
{
"gt_answer": "5",
"id": "scemqa_oe--77",
"mc_options": null,
"original_question": "<image>As shown in the diagram above, two resting blocks (4.0 kg and 8.0 kg) have a massless spring (spring constant 2,400 N/m) compressed between them. Upon release from the spring, the 8.0 kg block moves to the right at 10.0 m/s on a frictionless surface.\n\nCalculate the vertical distance the 8.0-kg block moves up the curved ramp. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>As shown in the diagram above, two resting blocks (4.0 kg and 8.0 kg) have a massless spring (spring constant 2,400 N/m) compressed between them. Upon release from the spring, the 8.0 kg block moves to the right at 10.0 m/s on a frictionless surface.\n\nBoth blocks eventually fly off a 45-m tall cliff, each reaching a specific horizontal range x as shown on the diagram. Calculate the difference between the range of the 8.0-kg block and the range of the 4.0-kg block. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "30",
"style": "rule"
}
|
{
"gt_answer": "30",
"id": "scemqa_oe--78",
"mc_options": null,
"original_question": "<image>As shown in the diagram above, two resting blocks (4.0 kg and 8.0 kg) have a massless spring (spring constant 2,400 N/m) compressed between them. Upon release from the spring, the 8.0 kg block moves to the right at 10.0 m/s on a frictionless surface.\n\nBoth blocks eventually fly off a 45-m tall cliff, each reaching a specific horizontal range x as shown on the diagram. Calculate the difference between the range of the 8.0-kg block and the range of the 4.0-kg block. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A 6.0-kg block starts from rest at the top of a smooth, frictionless, 2.0-m tall track. When the block reaches a spring, the surface transitions to a rough surface with a coefficient of kinetic friction of 0.50. The box links to the spring, compressing it a maximum distance of 60.0 cm before oscillating back and forth.\n\nCalculate the value of the spring constant. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "570",
"style": "rule"
}
|
{
"gt_answer": "570",
"id": "scemqa_oe--79",
"mc_options": null,
"original_question": "<image>A 6.0-kg block starts from rest at the top of a smooth, frictionless, 2.0-m tall track. When the block reaches a spring, the surface transitions to a rough surface with a coefficient of kinetic friction of 0.50. The box links to the spring, compressing it a maximum distance of 60.0 cm before oscillating back and forth.\n\nCalculate the value of the spring constant. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A 6.0-kg block starts from rest at the top of a smooth, frictionless, 2.0-m tall track. When the block reaches a spring, the surface transitions to a rough surface with a coefficient of kinetic friction of 0.50. The box links to the spring, compressing it a maximum distance of 60.0 cm before oscillating back and forth.\n\nCalculate the oscillation frequency of the mass-spring system. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "1.5",
"style": "rule"
}
|
{
"gt_answer": "1.5",
"id": "scemqa_oe--80",
"mc_options": null,
"original_question": "<image>A 6.0-kg block starts from rest at the top of a smooth, frictionless, 2.0-m tall track. When the block reaches a spring, the surface transitions to a rough surface with a coefficient of kinetic friction of 0.50. The box links to the spring, compressing it a maximum distance of 60.0 cm before oscillating back and forth.\n\nCalculate the oscillation frequency of the mass-spring system. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A 6.0-kg block starts from rest at the top of a smooth, frictionless, 2.0-m tall track. When the block reaches a spring, the surface transitions to a rough surface with a coefficient of kinetic friction of 0.50. The box links to the spring, compressing it a maximum distance of 60.0 cm before oscillating back and forth.\n\nEventually, the mass stops vibrating and comes to rest. Find the total distance that the spring traveled along the rough part of the surface during all of its oscillations. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
{
"gt_answer": "4",
"id": "scemqa_oe--81",
"mc_options": null,
"original_question": "<image>A 6.0-kg block starts from rest at the top of a smooth, frictionless, 2.0-m tall track. When the block reaches a spring, the surface transitions to a rough surface with a coefficient of kinetic friction of 0.50. The box links to the spring, compressing it a maximum distance of 60.0 cm before oscillating back and forth.\n\nEventually, the mass stops vibrating and comes to rest. Find the total distance that the spring traveled along the rough part of the surface during all of its oscillations. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A 2.0-kg box is initially moving at +3.0 m/s and is pushed along a horizontal, frictionless surface with a force that varies with time according to the following graph: \nAt the 7-second clock reading, the box collides with a wall and bounces backward at 6 m/s. Given that the box is in contact with the wall for 0.20 s, calculate the average force that the wall exerts on the box. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "-140",
"style": "rule"
}
|
{
"gt_answer": "-140",
"id": "scemqa_oe--82",
"mc_options": null,
"original_question": "<image>A 2.0-kg box is initially moving at +3.0 m/s and is pushed along a horizontal, frictionless surface with a force that varies with time according to the following graph: \nAt the 7-second clock reading, the box collides with a wall and bounces backward at 6 m/s. Given that the box is in contact with the wall for 0.20 s, calculate the average force that the wall exerts on the box. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The carts with masses 2m and m are initially moving with a speed v on a low friction track as shown in the diagram. The carts are initially connected by a compressed, negligible-mass spring that is fixed to the more massive car. After the spring is released, the less massive cart moves to the right with a speed 2v. The force versus time graph models the positive force that the less massive cart experiences during the release period of 0.2 s. Using the values m = 500 g and v = 1.2 m/s, calculate the maximum spring force, Fmax. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
{
"gt_answer": "6",
"id": "scemqa_oe--83",
"mc_options": null,
"original_question": "<image>The carts with masses 2m and m are initially moving with a speed v on a low friction track as shown in the diagram. The carts are initially connected by a compressed, negligible-mass spring that is fixed to the more massive car. After the spring is released, the less massive cart moves to the right with a speed 2v. The force versus time graph models the positive force that the less massive cart experiences during the release period of 0.2 s. Using the values m = 500 g and v = 1.2 m/s, calculate the maximum spring force, Fmax. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A box slides on a frictionless surface at an initial speed vo and sticks to a resting box with twice the mass. Two identical springs with spring constant k attach the second box to a wall. If $m = 2\\, \\text{kg}$, $v_0 = 6\\, \\text{m/s}$, and $k = 300\\, \\text{N/m}$, calculate the oscillation amplitude of the mass-spring system after the collision. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "0.2",
"style": "rule"
}
|
{
"gt_answer": "0.2",
"id": "scemqa_oe--84",
"mc_options": null,
"original_question": "<image>A box slides on a frictionless surface at an initial speed vo and sticks to a resting box with twice the mass. Two identical springs with spring constant k attach the second box to a wall. If $m = 2\\, \\text{kg}$, $v_0 = 6\\, \\text{m/s}$, and $k = 300\\, \\text{N/m}$, calculate the oscillation amplitude of the mass-spring system after the collision. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>When a system is taken from state a to state b along the path acb shown in the figure below, 70 J of heat flows into the system, and the system does 30 J of work. When the system is returned from state b to state a along the curved path shown, 60 J of heat flows out of the system. Does the system perform work on its surroundings or do the surroundings perform work on the system? How much work is done? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "20",
"style": "rule"
}
|
{
"gt_answer": "20",
"id": "scemqa_oe--85",
"mc_options": null,
"original_question": "<image>When a system is taken from state a to state b along the path acb shown in the figure below, 70 J of heat flows into the system, and the system does 30 J of work. When the system is returned from state b to state a along the curved path shown, 60 J of heat flows out of the system. Does the system perform work on its surroundings or do the surroundings perform work on the system? How much work is done? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>When a system is taken from state a to state b along the path acb shown in the figure below, 70 J of heat flows into the system, and the system does 30 J of work. If the system does 10 J of work in transforming from state a to state b along path adb, does the system absorb or does it emit heat? How much heat is transferred? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "50",
"style": "rule"
}
|
{
"gt_answer": "50",
"id": "scemqa_oe--86",
"mc_options": null,
"original_question": "<image>When a system is taken from state a to state b along the path acb shown in the figure below, 70 J of heat flows into the system, and the system does 30 J of work. If the system does 10 J of work in transforming from state a to state b along path adb, does the system absorb or does it emit heat? How much heat is transferred? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>When a system is taken from state a to state b along the path acb shown in the figure below, 70 J of heat flows into the system, and the system does 30 J of work. If $U_a = 0\\, \\text{J}$ and $U_d = 30\\, \\text{J}$, determine the heat absorbed in the processes $db$ and $ad$. \n (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "40",
"style": "rule"
}
|
{
"gt_answer": "40",
"id": "scemqa_oe--87",
"mc_options": null,
"original_question": "<image>When a system is taken from state a to state b along the path acb shown in the figure below, 70 J of heat flows into the system, and the system does 30 J of work. If $U_a = 0\\, \\text{J}$ and $U_d = 30\\, \\text{J}$, determine the heat absorbed in the processes $db$ and $ad$. \n (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A 0.4 mol sample of an ideal diatomic gas undergoes slow changes from state a to state b to state c and back to a along the cycle shown in the P-V diagram below: Path ab is an isotherm, and it can be shown that the work done by the gas as it changes isothermally from state a to state b is given by the equation $W_{ab} = -nRT \\times \\ln \\left( \\frac{V_b}{V_a} \\right)$ What's the temperature of state c? \n (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "220",
"style": "rule"
}
|
{
"gt_answer": "220",
"id": "scemqa_oe--88",
"mc_options": null,
"original_question": "<image>A 0.4 mol sample of an ideal diatomic gas undergoes slow changes from state a to state b to state c and back to a along the cycle shown in the P-V diagram below: Path ab is an isotherm, and it can be shown that the work done by the gas as it changes isothermally from state a to state b is given by the equation $W_{ab} = -nRT \\times \\ln \\left( \\frac{V_b}{V_a} \\right)$ What's the temperature of state c? \n (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A 0.4 mol sample of an ideal diatomic gas undergoes slow changes from state a to state b to state c and back to a along the cycle shown in the P-V diagram below: Path ab is an isotherm, and it can be shown that the work done by the gas as it changes isothermally from state a to state b is given by the equation $W_{ab} = -nRT \\times \\ln \\left( \\frac{V_b}{V_a} \\right)$. How much work, $W_{ab}$, is done by the gas during step ab? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "-4000",
"style": "rule"
}
|
{
"gt_answer": "-4000",
"id": "scemqa_oe--89",
"mc_options": null,
"original_question": "<image>A 0.4 mol sample of an ideal diatomic gas undergoes slow changes from state a to state b to state c and back to a along the cycle shown in the P-V diagram below: Path ab is an isotherm, and it can be shown that the work done by the gas as it changes isothermally from state a to state b is given by the equation $W_{ab} = -nRT \\times \\ln \\left( \\frac{V_b}{V_a} \\right)$. How much work, $W_{ab}$, is done by the gas during step ab? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>A 0.4 mol sample of an ideal diatomic gas undergoes slow changes from state a to state b to state c and back to a along the cycle shown in the P-V diagram below: Path ab is an isotherm, and it can be shown that the work done by the gas as it changes isothermally from state a to state b is given by the equation $W_{ab} = -nRT \\times \\ln \\left( \\frac{V_b}{V_a} \\right)$. What is the total work done over cycle abca? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "-1800",
"style": "rule"
}
|
{
"gt_answer": "-1800",
"id": "scemqa_oe--90",
"mc_options": null,
"original_question": "<image>A 0.4 mol sample of an ideal diatomic gas undergoes slow changes from state a to state b to state c and back to a along the cycle shown in the P-V diagram below: Path ab is an isotherm, and it can be shown that the work done by the gas as it changes isothermally from state a to state b is given by the equation $W_{ab} = -nRT \\times \\ln \\left( \\frac{V_b}{V_a} \\right)$. What is the total work done over cycle abca? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Consider the following circuit, At what rate does the battery deliver energy to the circuit? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "240",
"style": "rule"
}
|
{
"gt_answer": "240",
"id": "scemqa_oe--91",
"mc_options": null,
"original_question": "<image>Consider the following circuit, At what rate does the battery deliver energy to the circuit? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Consider the following circuit, Find the current through the 40 Ω resistor. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "1.5",
"style": "rule"
}
|
{
"gt_answer": "1.5",
"id": "scemqa_oe--92",
"mc_options": null,
"original_question": "<image>Consider the following circuit, Find the current through the 40 Ω resistor. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Consider the following circuit, Determine the potential difference between points a and b. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "60",
"style": "rule"
}
|
{
"gt_answer": "60",
"id": "scemqa_oe--93",
"mc_options": null,
"original_question": "<image>Consider the following circuit, Determine the potential difference between points a and b. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Consider the following circuit, Given that the 100 Ω resistor is a solid cylinder that's 4 cm long, composed of a material whose resistivity is 0.45 Ω o m, determine its radius. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "7.6",
"style": "rule"
}
|
{
"gt_answer": "7.6",
"id": "scemqa_oe--94",
"mc_options": null,
"original_question": "<image>Consider the following circuit, Given that the 100 Ω resistor is a solid cylinder that's 4 cm long, composed of a material whose resistivity is 0.45 Ω o m, determine its radius. (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Consider the following circuit, What is the equivalent resistance of the circuit? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "30",
"style": "rule"
}
|
{
"gt_answer": "30",
"id": "scemqa_oe--95",
"mc_options": null,
"original_question": "<image>Consider the following circuit, What is the equivalent resistance of the circuit? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Two trials of a double-slit interference experiment are set up as follows. The slit separation is d = 0.50 mm, and the distance to the screen, L, is 4.0 m. What is the vertical separation on the screen (in mm) between the first-order maxima for red light (λ = 750 nm) and violet light (λ = 400 nm)? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "2.8",
"style": "rule"
}
|
{
"gt_answer": "2.8",
"id": "scemqa_oe--96",
"mc_options": null,
"original_question": "<image>Two trials of a double-slit interference experiment are set up as follows. The slit separation is d = 0.50 mm, and the distance to the screen, L, is 4.0 m. What is the vertical separation on the screen (in mm) between the first-order maxima for red light (λ = 750 nm) and violet light (λ = 400 nm)? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>Two trials of a double-slit interference experiment are set up as follows. The slit separation is d = 0.50 mm, and the distance to the screen, L, is 4.0 m. What is the separation between adjacent bright fringes on the screen? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "2.7",
"style": "rule"
}
|
{
"gt_answer": "2.7",
"id": "scemqa_oe--97",
"mc_options": null,
"original_question": "<image>Two trials of a double-slit interference experiment are set up as follows. The slit separation is d = 0.50 mm, and the distance to the screen, L, is 4.0 m. What is the separation between adjacent bright fringes on the screen? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The circuit shown is built and the voltage source supplies voltage for 15 minutes before the battery is completely drained. Assume the voltage supplied by the battery is constant at 12 V until the battery is drained, after which the battery supplies 0 V. What is the equivalent resistance of the circuit? (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "44",
"style": "rule"
}
|
{
"gt_answer": "44",
"id": "scemqa_oe--98",
"mc_options": null,
"original_question": "<image>The circuit shown is built and the voltage source supplies voltage for 15 minutes before the battery is completely drained. Assume the voltage supplied by the battery is constant at 12 V until the battery is drained, after which the battery supplies 0 V. What is the equivalent resistance of the circuit? (Final Answer is a value)"
}
|
|
scemqa_oe
|
[
{
"content": "<image>The circuit shown is built and the voltage source supplies voltage for 15 minutes before the battery is completely drained. Assume the voltage supplied by the battery is constant at 12 V until the battery is drained, after which the battery supplies 0 V. Two students are discussing the apparatus. Student 1 says, \"If the 20 Ω resistor were not present, the overall resistance of the circuit would have been lower and the battery would have lasted longer.\" Student 2 says, \"If the 20 Ω resistor were not present, I think the power output would have been higher and the battery would have drained faster.\" What is the the overall resistance if without the 20 Ω resistor present. (Final Answer is a value)",
"role": "user"
}
] |
{
"ground_truth": "24",
"style": "rule"
}
|
{
"gt_answer": "24",
"id": "scemqa_oe--99",
"mc_options": null,
"original_question": "<image>The circuit shown is built and the voltage source supplies voltage for 15 minutes before the battery is completely drained. Assume the voltage supplied by the battery is constant at 12 V until the battery is drained, after which the battery supplies 0 V. Two students are discussing the apparatus. Student 1 says, \"If the 20 Ω resistor were not present, the overall resistance of the circuit would have been lower and the battery would have lasted longer.\" Student 2 says, \"If the 20 Ω resistor were not present, I think the power output would have been higher and the battery would have drained faster.\" What is the the overall resistance if without the 20 Ω resistor present. (Final Answer is a value)"
}
|
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