All Problems Laws of Conservation
Problem 1.156
Two men, each of mass \(m\), stand on the edge of a stationary buggy of mass \(M\). Assuming the friction to be negligible, find the velocity of the buggy after both men jump off with the same horizontal velocity u relative to the buggy (1) simultaneously; (2) one after the other. In what case will the velocity of the buggy be greater and how many times?
1.156. (1) \(\mathbf{v}_{1}=-\frac{2 m}{M+2 m} \mathbf{u}\) (2) \(\mathbf{v}_{2}=-\frac{m(2 M+3 m)}{(M+m)(M+2 m)} \mathbf{u}\) \(v_{2} / v_{1}=1+m / 2(M+m)>1\)