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In order to convert a tough split in bowling, it is necessary to strike the pin a glancing blow as shown in the figure. Assume that the bowling ball, initially traveling at 15.0 m/s, has four times the mass of a pin and that the pin goes off at 75° from the original direction of the ball.

(a) Calculate the speed of the pin.

(b) Calculate the speed of the ball just after collision.

(c) Calculate the angle è through which the ball was deflected. Assume the collision is elastic and ignore any spin of the ball.

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