A 1-kg steel ball and a 2-m cord of negligible mass make up a simple pendulum that

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A 1-kg steel ball and a 2-m cord of negligible mass make up a simple pendulum that can pivot without friction about the point O, as in Figure. This pendulum is released from rest in a horizontal position and when the ball is at its lowest point it strikes a 1-kg block sitting at rest on a rough shelf. Assume that the collision is perfectly elastic and take the coefficient of friction between the block and shelf to be 0.1. 

(a) What is the velocity of the block just after impact? 

(b) How far does the block move before coming to rest?

1 kg 2 m kg

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