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A wedge of mass M is placed on a frictionless, horizontal surface, and a block of mass m is placed on the wedge, which also has a frictionless...

A wedge of mass M is placed on a frictionless, horizontal surface, and a block of mass m is placed on the wedge, which also has a frictionless surface. The block's center of mass moves downward a distance h as the block slides from its initial position to the horizontal floor.
(a) What are the speeds of the block and of the wedge as they separate from each other and go their own ways? (Use the following variables as necessary: g, h, M, and m)
v_b= ________
v_w= ________
(b) Check your calculation plausibility by considering the limiting case when M >> m. (Use the following variables as necessary: g, h, M, and m)
v_w= ________

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