Background Physics of Bouncing a Ball

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What is the background physics of "bouncing a ball?
Momentum and impulse are the background physics but is there any thing else?
 
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More specifically, with energy and collisions there is a dimensionless quantity called the coefficient of restitution. This number is a ratio of KE after the collision to that of the KE before the collision. Thus if the initial first bounce had a KE of 10J at the ground and the coefficient of restitiution was 0.6, then on the ball's way back up, it would be leaving the ground with a KE of 6J (the other 4J are dissipated mostly into heat, vibrations, and material deformation)