Figure I
Figure III
1980M2. A block of mass m slides at velocity vo across a horizontal frictionless surface toward a large curved movable ramp of mass 3 m as shown in Figure 1. The ramp, initially at rest, also can move without friction and has a smooth circular frictionless face up which the block can easily slide. When the block slides up the ramp, it momentarily reaches a maximum height as shown in Figure II and then slides back down the frictionless face to the horizontal 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 the ramp and the final speed v′ of the block after the block returns to the level surface. State whether the block is moving to the right or to the left.