POF #2

Problem of the Fortnight #2

Double Bouncer

Two perfectly elastic balls of masses M and m are placed one atop the other (with a tiny gap between them) and released from rest at a height H above the floor.

  1. For what mass ratio m/M  will M end up being at rest?  For this ratio what height will m reach?
  2. What mass ratio will result in m reaching the maximum possible height?  What is this height?

Due date: Friday, February 7, at 4:00 PM

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