Two identical carts are riding on an air track(zero friction). Cart#1 is given a

Question

Two identical carts are riding on an air track(zero friction). Cart#1 is given a quick push in the positive x direction towards cart#2.

When they hit, they stick to each other. The graph below describe some of the variables associated with the motion as a function of time beginning just after the push is completed. For the experment describe and for each item list below, identify which graph is a possible display of that variable as a function of time. If none apply, write N (for none). EXPLAIN TO ME WHY YOU CHOOSS YOUR ANSWERS.

a)Which graph could represent the Momentum of Cart#1 over time ?

b) Which graph could represent the Total Momentum of both carts over time?

c)Which graph could represent the Kinetic Energy of Cart#1 over time?

d)Which graph could represent the force exerted on cart#1 by cart#2over time ?

e)Which graph could represent the Momentum of Cart#2 over time ?

Explanation / Answer

A) H - The momentum is positive all the time. It only reduces a little after collision.

B) C - Momentum is always conserved and positive.

C) B - velocity changes little but KE changes proportional to (v^2) hence larger drop

D) G - the force is only exerted during the short time of collision and it is backwards/negative

E) N - It was Zero first and then positive. No graph is like that

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