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Mechanics}Conservation Laws

From conservation of momentum, one has mv_0=Mv \Rightarrow v_0 = Mv/m. The man does work on both himself and the boat. Thus, the work-kinetic energy theorem has W=\Delta K = 1/2 m v_0^2 + 1/2 M v^2 = 1/2( M^2/m +M )v^2, as in choice (D)

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