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## Homework Statement

So I have one of these trippy toys

http://www.spacehall.com/shop/images/AstroBlaster.JPG [Broken],[/URL] and have a question.

Basically the way that it works, is that all the balls bounce, and the top one that isn't secured on rockets off very high while the others are secured in place on a rod. I know that this is because the combined mass is exerted upon the small top ball (Potential Energy = mass*gravity*height, thus the combined mass means that it has a huge potential energy).

Anyways, my question is that if I have recorded all the data about it, know the elasticity of the top ball, and have the potential energy calculated. Is there any way to calculate how high the ball will bounce if I know the potential energy?

(The potential energies for the entire thing and just the top ball are ~5000 and 200 J respectively)

## Homework Equations

Potential Energy = MassGravityHeight , Kintetic Energy = 1/2 MassVelocity^2

## The Attempt at a Solution

So far I have tried to divide the PE's and find a ratio, however the balls bounce at about 50cm and 3.8cm combined and just the top ball, but the ratios dont work out right.

## Homework Statement

## Homework Equations

## The Attempt at a Solution

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