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1)Two blocks A and B of equal mass m are on a frictionless track, as shown in the figure above. Block A, initially moving with speed v1 , has a perfectly elastic collision with block B. Block B has a speed v1 immediately after the collision, and then it travels around a circular loop of radius R, where R is much larger than the size of the blocks. The speed of block B at the top of the loop is vtop. Block B then slides up a ramp until it comes momentarily to rest at a height h above the floor.

Block C makes a completely inelastic collision with block B so that both blocks stick together and travel along the track. What is the minimum initial speed vC that block C must have so that the two-block system makes it over the hump? Express your answer in terms of vA .
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