Two particles collide, one of which was initially moving and the other initially

Question

Two particles collide, one of which was initially moving and the other initially at rest. a. Is it possible for both particles to be at rest after the collision? Give an example in which this happens, or explain why it can't happen. b. Is it possible for one particle to be at rest after the collision? Give an example in which this happens, or explain why it can't happen. (On A, I'm thinking about a parked vehicle getting hit by a moving vehicle, after the collision, they will both be at rest, am I right?)

Explanation / Answer

In an elastic collision, momentum must be conserved (which is mass x velocity) so both particles cannot end stationary from the collision if one was already moving. The final momentum must equal the initial momentum, and so this situation is impossible. 2) Again in an elastic collision, this is possible. If both particles have identical masses, then the speed can be transferred straight to the other particle; conserving momentum and leaving one particle stationary. A Newton's Cradle is a very good example of this idea.

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