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Superball in Weakening Gravitational Field
A superball is bouncing vertically up and down. It has a velocity v0 when it strikes the ground. The acceleration due to gravity is slowly reduced by 10% during a very long period of time. Assuming that the collisions of the ball with the ground are elastic, find the corresponding change in v0.
SOLUTION
The slow change of the acceleration of gravity implies that we will have an adiabatic invariant I.