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Laws of Conservation

Problem 1.155

\(1.155 .\) Two identical buggies move one after the other due to inertia (without friction) with the same velocity \(v_{0}\). A man of mass \(m\) rides the rear buggy. At a certain moment the man jumps into the front buggy with a velocity u relative to his buggy. Knowing that the mass of each buggy is equal to \(M,\) find the velocities with which the buggies will move after that.

Reveal Answer
vrear =v0−mM+mu;vform =v0+mM(M+m)2u\mathbf{v}_{\text {rear }}=\mathbf{v}_{0}-\frac{m}{M+m} \mathbf{u} ; \quad \mathbf{v}_{\text {form }}=\mathbf{v}_{0}+\frac{m M}{(M+m)^{2}} \mathbf{u}
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