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Board A is placed on board B as shown. B...

Board A is placed on board B as shown. Both boards slide, without moving with respect to each other, along a frictionless horizontal surface at a speed 6 m/ s. Board B hits a resulting board C "head·on". After the collision, board B and C stick together and board A slides on top of board C and stops its motion relative to C in the position shown on the diagram. What is the length (in m) of each board? All three boards have the same mass, size and shape. The coefficient of kinetic friction between boards A and C and between board A & B is 0.3

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A uniform board of length L is sliding along a smooth (frictionless) horizontal plane as in figure. The board then slides across the boundary with a rough horizontal surface. The coefficient of kinetic friction between the board and the second surface surface is mu_k a. Find the acceleration of the board at the moment its front end has traveled a distance x beyond the boundary. b. The board stops at the moment its back end reaches the boundary, as in figure. Find the initail speed v of the board.