A ball of mass m is shot at high initial speed (Vo) directly toward a large bloc

Question

A ball of mass m is shot at high initial speed (Vo) directly toward a large block of mass 4m at rest on a frictionless roller-coaster type of track. The block is sent toward a hill of height h. Assuming the collision is between ball and block is perfectly elastic what are each of their velocities after collision? What is the minimum value of (Vo) that will allow the bloack to move over the top of the hill? What will the new answeres be if instead of a elastic collision the ball rebounds with a velocity of -(Vo)/3?

Explanation / Answer

again apply conservation of linear momentum and K.E.
velocity of block must be 2gh

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