A uniform solid ball resting on a horizontal surface has a mass of 20 g and a

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A uniform solid ball resting on a horizontal surface has a mass of 20 g and a radius of 5 cm. A sharp force is applied to the ball in a horizontal direction 9 cm above the horizontal surface. The force increases linearly from 0 to a peak value of 40,000 N in 10-4 s and then decreases linearly to 0 in 10-4 s. 

(a) What is the velocity of the ball after impact? 

(b) What is the angular velocity of the ball after impact? 

(c) What is the velocity of the ball when it begins to roll without sliding? 

(d) For how long does the ball slide on the surface? Assume that μk = 0.5.

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