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mechanics momentum watch

1. A ball of mass A is held above another ball of mass B with a small gap between
the balls. They are then dropped towards the ground simultaneously.

For what mass ratio A/B
does the top ball receive the largest fraction of the total
available energy after the balls bounce?

i used coefficient of restitution=1 and conservation of momentum to get the speed of A after, i squared this then multiplied by 0.5A to get the kinetic energy of A, but i cant make it as a function of A/B, should i take partial derivatives with respect to A and also B?
A ball of mass A is held above another ball of mass B with a small gap between
the balls. They are then dropped towards the ground simultaneously.

For what mass ratio A/B
does the top ball receive the largest fraction of the total
available energy after the balls bounce?

i used coefficient of restitution=1 and conservation of momentum to get the speed of A after, i squared this then multiplied by 0.5A to get the kinetic energy of A, but i cant make it as a function of A/B, should i take partial derivatives with respect to A and also B?
Don't know what you can or are expected to assume, but this may be useful. Question on p.3, and solution further down.

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Updated: January 15, 2015
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