Match the graphs with the following: a. the momentum of cart B b. the force on c

Question

Match the graphs with the following:

a. the momentum of cart B

b. the force on cart A

c. the total momentum of the system

d. the kinetic energy of cart B

e. the total kinetic energy of the system

Two identical carts labeled A and B are initially resting on an air track. The coordinate system for describing the system is shown. The cart on the right, cart B is given a push to the left and is released. The clock is then started. At t = 0, cart B moves in the direction shown with a speed v0. They hit and stick to each other. The graphs below describe some of the variables associated with the motion as a function of time. For the experiment described and for each item in the list below, identify which graph is a possible display of that variable as a function of time assuming a proper scale. "The system" refers to carts A and B together.

Explanation / Answer

A)

the momentum of cart B ,first it having more momentum and there by it decreases

so suitable graph is #2

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b. the force on cart A is the impulse

so correct graph is #7

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c. the total momentum of the system is constant

so the correct graph is #5

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d. the kinetic energy of cart B

first it had greater value but after collision it decreases

the correct graph is #4
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e. the total kinetic energy of the system

first KE had greater and later it decreses

the correct graph is #6

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