Bouncing balls

A tennis ball rests directly on top of a cannon ball, which has a much larger mass, i.e. \(M_\textrm{cannonball} \gg M_\textrm{tennis}.\)

When the balls are dropped, to what height (in \(\si{\centi\meter}\)) will the bottom of the tennis ball bounce?

Details and Assumptions:

  • The bottom of the cannon ball starts at a height of \(h = \SI{60}{\centi\meter}\) from the ground, and the cannon ball has diameter \(d=\SI{30}{\centi\meter}\).
  • All collisions are perfectly elastic, and wind resistance is ignored.

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