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A horizontal force F is applied to a small block of mass m1 to make it...

A horizontal force F is applied to a small block of mass m1 to make it slide along the top of a larger block of mass m2 and length L. The coefficient of kinetic friction between the blocks is µ. The larger block slides without friction along a horizontal surface. The blocks start from rest with the smaller block at one end of the larger block.

a) Label all the forces acting on each block.

b) Find the acceleration of each block: a1 and a2, relative to the horizontal surface.

c) In terms of x, a1, and a2 find the time t needed for the small block to slide off the end of the larger block.

d) Find the expression for the energy dissipated as heat because of the friction between the blocks.

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