You to know this, but I think that it is really, really cool: don’t have To show how leads to the third law of motion principle of conservation of momentum Newton’s look at a scenario where one trolley (Trolley 1) which crashes into another (Trolley 2). Let’s Let F1 represent the force Trolley 1 exerts on Trolley 2 and let F2 represent the force Trolley 2 exerts on Trolley 1 From Third Law of Motion: Newton’s F1 = - F2 m1a1 = - m2a2 m1 (v1 u1)/t = - m2 (v2 u2)/t – – m1v1 m1u1 = - m2v2 + m2u2 – m1v1 + m2v2 = m1u1 + m2u2 TO SHOW THAT ACCELERATION IS PROPORTIONAL TO THE FORCE WHICH CAUSED IT APPARATUS Set of weights, electronic balance, trolley, ticker-tape timer and tape. DIAGRAM PROCEDURE Set up the apparatus as shown in the diagram. Start by taking one weight from the trolley and adding it to the hanger at the other end. Note the weight at this end (including the weight of the hanger) using an electronic balance. Release the system which allows the trolley to accelerate down the track. Use the ticker-tape timer to calculate the acceleration. Repeat these steps about seven times, each time taking a weight from the trolley and adding it to the other end. Record the results for force and acceleration in a table. Draw a graph of Force (on the y-axis) against acceleration (on the x-axis). The slope of the graph corresponds to the mass of the system (trolley plus hanger plus all the weights) RESULLTS Force Acceleration (N) (m s-2) CONCLUSION
You don’t have to know this, but I think that it is really, really cool: To show how Newton’s third law of motion leads to the principle of conservation of momentum Let’s look at a scenario where one trolley (Trolley 1) which crashes into another (Trolley 2). Let F1 represent the force Trolley 1 exerts on Trolley 2 and let F2 represent the force Trolley 2 exerts on Trolley 1 From Newton’s Third Law of Motion: F1 = - F2 m1a1 = - m2a2 m1 (v1 – u1)/t = - m2 (v2 – u2)/t m1v1 – m1u1 = - m2v2 + m2u2 m1v1 + m2v2 = m1u1 + m2u2 TO SHOW THAT ACCELERATION IS PROPORTIONAL TO THE FORCE WHICH CAUSED IT APPARATUS Set of weights, electronic balance, trolley, ticker-tape timer and tape. DIAGRAM PROCEDURE Set up the apparatus as shown in the diagram. Start by taking one weight from the trolley and adding it to the hanger at the other end. Note the weight at this end (including the weight of the hanger) using an electronic balance. Release the system which allows the trolley to accelerate down the track. Use the ticker-tape timer to calculate the acceleration. Repeat these steps about seven times, each time taking a weight from the trolley and adding it to the other end. Record the results for force and acceleration in a table. Draw a graph of Force (on the y-axis) against acceleration (on the x-axis). The slope of the graph corresponds to the mass of the system (trolley plus hanger plus all the weights) RESULLTS Force (N) Acceleration (m s-2) CONCLUSION