Two carts on an air track are pushed towards each other. Initially, cart 1 moves

Question

Two carts on an air track are pushed towards each other. Initially, cart 1 moves in the positive x direction and cart 2 moves in the negative x direction. They bounce off each other elastically. The graphs at the right 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. If none apply, choose N (for none) (i) the momentum of cart1 (ii) the position of cart 1. (iii) the position of cart 2. l (CD) O (i

Explanation / Answer

i) D ii) B iii) N

Last option is correct as momentum of first cart is initially positive and constant, it changes to negative constant after elastic bounce. Position of 1 is increasing in x direction initially but after collision it bounces back and it's position keeps on decreasing in x direction i.e towards negative x, exactly the opposite for cart 2.

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