Match the following with the graphs. PLEASE EXPLAIN YOUR ANSWERS. a. the momentu

Question

Match the following with the graphs. PLEASE EXPLAIN YOUR ANSWERS.

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

Part A

velocity of cart B decrease after collision . Initialy velocity is in negative direction and it decrease in negative direction so answer is graph #3

Part B

Force on cart A is towards left(- x) direction so it is negative and for a short time. answer is graph #8

Part C

As no external force is working on system so total momentum remain constant. so graph #5

Part D

Kinetic energy of B decreases and it is positive so Graph #4

Part E

Total kinetic energy of system also decreases as it is perfectly inelestic collision. None of the graph correctly repersent this change so graph #9

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