All Problems

Laws of Conservation

Problem 1.163

A body of mass \(M\) (Fig. 1.43) with a small disc of mass \(m\) placed on it rests on a smooth horizontal plane. The disc is set in motion in the horizontal direction with velocity \(v\). To what height (relative to the initial level) will the disc rise after breaking off the body \(M ?\) The friction is assumed to be absent.

Reveal Answer
h=Mv2/2g(M+m)h=M v^{2} / 2 g(M+m)