(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

http://img360.imageshack.us/img360/8953/ramppd7.png [Broken]

A block of mass m slides at velocity vo across a horizontal frictionless surface toward a large curved movable ramp of mass 3m 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.

2. Relevant equations

m1v1i + m2v2i = v1(m1 + m2)

3. The attempt at a solution

For part "a" i tried

m1v1i + m2v2i = v1(m1 + m2)

mVo = V1(m +3m)

Vo = 4mV1

V1=(Vo/3m)

But this just doesn't seem right to me. Since the block gains potential energy as it goes up the ramp. Does this mean that I need to use energy equations with conservation of momentum? I'm at a loss with this problem

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Block colliding with movable ramp

**Physics Forums | Science Articles, Homework Help, Discussion**