The board with length L and mass m is still on a smooth horizontal table. A small block B with mass m falls on the left end of board a with horizontal velocity v0. The friction coefficient between board B and board a is u, and block B can be regarded as a particle. How large is V0 if B reaches the right end of board a at last

The board with length L and mass m is still on a smooth horizontal table. A small block B with mass m falls on the left end of board a with horizontal velocity v0. The friction coefficient between board B and board a is u, and block B can be regarded as a particle. How large is V0 if B reaches the right end of board a at last

When n = MGF = n μ = mg μ B just reaches the right end of point a, the relative moving distance between a and B is l, and the work done by friction force is FL = mg μ L. because the resultant force of external force on a and B is zero (when a and B are regarded as a system, friction force F is internal force), momentum conservation MV0 = (M + m) V -- energy conservation 1 / 2m (V0) ^ 2 = 1 / 2 (M + m) V ^ 2 + Mg μ L -