A block of mass m slides at velocity vo across ahorizontal frictionless surface toward a large curved movable rampof mass 3m as shown in Figure 1. The ramp, initially at rest, alsocan move without friction and has a smooth circular frictionlessface up which the block can easily slide. When the block slides upthe ramp, it momentarily reaches a maximum height as shown inFigure II and then slides back down the frictionless face to thehorizontal surface as shown in Figure III.
a. Find the velocity v1 of the moving ramp at the instant the block reaches its maximum height.
b. To what maximum height h does the center of mass of the block rise above its original height?
c. Determine the final speed vf of theramp and the final speed v' of the block after the block returns tothe level surface. State whether the block is moving to the rightor to the left.