A bowler throws a bowling ball of radius R = 11 cm along a

Chapter 11, Problem 15

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A bowler throws a bowling ball of radius R = 11 cm along a lane. The ball (Fig. 11-38) slides on the lane with initial speed vcom,o = 8.5 mls and initial angular speed Wo = O. The coefficient of kinetic friction between the ball and the lane is 0.21. The kinetic frictional force 7k acting on the ball causes a linear acceleration of the ball while producing a torque that causes an angular ac- x celeration of the ball. When speed Fig. 11 -38 IS. Vcom has decreased enough and angular speed w has increased enough, the ball stops sliding and then smoothly. (a) What then is Vcom in terms of w? During the sliding, what are the baH's (b) linear acceleration and (c) angular acceleration? (d) How long does the ball slide? (e) How far does the ball slide? (f) What is the linear speed of the ball when smooth rolling begins?