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A 500 g rubber ball is dropped from a height of 10 m and undergoes a perfectly elastic collision with the earth. a) What is the earth's velocity

A 500 g rubber ball is dropped from a height of 10 m and undergoes a perfectly elastic collision with the earth.
a) What is the earth's velocity after the collision? Assume the earth was at rest just before the collision.
b) How many years would it take the earth to move 1.0 mm at this speed?

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