A bowler throws a bowling ball of radius R = 11 cm along a lane.The ball (Fig. 11-37) slides on the lane with initial speed vcom,0= 4.1 m/s and initial angular speed ?0 = 0. The coefficient ofkinetic friction between the ball and the lane is 0.14. The kineticfrictional force k acting on the ball causes a linear accelerationof the ball while producing a torque that causes an angularacceleration of the ball. When speed vcom has decreased enough andangular speed f has increased enough, the ball stops sliding andthen rolls smoothly. During the sliding, what are the ball's (a)linear acceleration and (b) angular acceleration? (c) How long doesthe ball slide? (d) How far does the ball slide? (e) What is thelinear speed of the ball when smooth rolling begins? Note that theclockwise direction is taken as negative.
A bowler throws a bowling ball of radius R = 11 cm along a lane.The ball (Fig. 11-37) slides on the lane with initial speed vcom,0= 4.1 m/s and initial angular speed ?0 = 0. The coefficient ofkinetic friction between the ball and the lane is 0.14. The kineticfrictional force k acting on the ball causes a linear accelerationof the ball while producing a torque that causes an angularacceleration of the ball. When speed vcom has decreased enough andangular speed f has increased enough, the ball stops sliding andthen rolls smoothly. During the sliding, what are the ball's (a)linear acceleration and (b) angular acceleration? (c) How long doesthe ball slide? (d) How far does the ball slide? (e) What is thelinear speed of the ball when smooth rolling begins? Note that theclockwise direction is taken as negative.
