2007: Problem 13

Topic: Collisions
Concepts: 1D elastic collision

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Solution:

Recall the elastic collision equations for mass $m$ colliding with mass $M$:

$$v_1=\frac{m-M}{m+M}v$$

$$v_2=\frac{2m}{m+M}v$$

If $m=M$, then

$$v_1=0$$

$$v_2=v$$

so the first particle goes to rest while the second particle picks up the initial velocity of the first. Thus, their momenta swap after the collision so the answer is D.

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