Use the figure below to answer problems 17 and 18. l θ l h Find an expression for in terms of and h l θ. What is the of if = 6 m and = 40°? h l θ Part 5: Algebra Solve the following (almost all of these are extremely easy it is for you to work Units on the important independently). – numbers are included because they are essential to the concepts, however they do not have any on the actual effect numbers you are putting into the equations. In other words, the units do not change how you do the algebra. Show every step for every problem, including writing the original equation, all algebraic manipulations, and substitution! You should practice doing all algebra substituting numbers in for variables. before Section I: For problems 1-5, use the three equations below: 1 = + = + 2 − = + + 2 0 Using equation (1) solve for given that 5 m/s, 25 m/s, and = 10 m/s2. t v0 = vf = a = 10 m/s2, = 0 m, 120 m, and = 20 m/s. Use the second equation to find a x0 xf = v0 t. and 2 m/s2. Use the first equation to find 2. vf = - v0 a = t / = 10m, but 0 T a = – How does each equation simplify when 0 m/s2 and = 0 m? a = x0 m/s2. Use the first equation to find in m Section II: For problems 6 11, use the four equations below. – terms of T. = = If = 10 N and = 1 m/s2, find using the first equation. a m ≤ 6. Given = , = 250 kg, 0.2, and 10m, find m N = a. = Given the following values, determine if the third equation is valid. = , = 90 kg, and m = 2 m/s2. Also, 0.1, and 5 N. a N = Use the first equation in Section I, the first equation in Section II and the givens below, find = 12 kg, 15 m/s, 5 m/s, and 12 s. m v0 = vf = t = Use the last equation to solve for if 900 N/m and = 0.15 m. Fs k = x
Use the figure below to answer problems 17 and 18. l θ l h Find an expression for h in terms of l and θ. What is the of h if l = 6 m and θ = 40°? Part 5: Algebra Solve the following (almost all of these are extremely easy – it is important for you to work independently). Units on the numbers are included because they are essential to the concepts, however they do not have any effect on the actual numbers you are putting into the equations. In other words, the units do not change how you do the algebra. Show every step for every problem, including writing the original equation, all algebraic manipulations, and substitution! You should practice doing all algebra before substituting numbers in for variables. Section I: For problems 1-5, use the three equations below: = + 1 2 = + − = + + 2 0 Using equation (1) solve for t given that v0 = 5 m/s, vf = 25 m/s, and a = 10 m/s2. a = 10 m/s2, x0 = 0 m, xf = 120 m, and v0 = 20 m/s. Use the second equation to find t. vf = - v0 and a = 2 m/s2. Use the first equation to find t / 2. How does each equation simplify when a = 0 m/s2 and x0 = 0 m? Section II: For problems 6 – 11, use the four equations below. = = If = 10 N and a = 1 m/s2, find m using the first equation. 6. Given = , m = 250 kg, 0.2, and N = 10m, find a. = T – 10m, but a = 0 m/s2. Use the first equation to find m in terms of T. ≤ = Given the following values, determine if the third equation is valid. = , m = 90 kg, and a = 2 m/s2. Also, 0.1, and N = 5 N. Use the first equation in Section I, the first equation in Section II and the givens below, find m = 12 kg, v0 = 15 m/s, vf = 5 m/s, and t = 12 s. Use the last equation to solve for Fs if k = 900 N/m and x = 0.15 m.
2018-2019%20%20AP%20Physics1%20(Algebra-Based)%20%20SUMMER%20ASSOGNMENT%202018-2019.docx