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

A package of mass m is released from rest at a warehouse loading dock and slides down a 3.0m high frictionless chute to a waiting truck. Unfortunately, the truck driver went on a break without having removed the previous package, of mass 2m, from the bottom of the chute.

Suppose the collision between the packages is perfectly elastic. To what height does the package of mass m rebound?

http://session.masteringphysics.com/problemAsset/1073693/3/10.P42.jpg

2. Relevant equations

3. The attempt at a solution

So far I know that the velocity of mass m at the moment of impact is 2.6 m/s. I think I should be using the conservation of energy/momentum to solve for the final velocity of mass m. I then think I can use this velocity to solve for K, and use this to solve for the height from U=mgh. I just can't figure out how to solve the final velocities.

[tex]2.6m=mv_{1}_{f}+2mv_{2}_{f}[/tex]

[tex]\frac{1}{2}m(2.6)^2=\frac{1}{2}mv_{1}_{f}^2+mv_{2}_{f}^2[/tex]

Are these set up right? If so, how do I continue? As you can see my algebra skills may be lacking.

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# Perfectly elastic collision?

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