A bowler throws a bowling ball of radius 11cm down a bowling lane. It has an initial linear velocity of 8.8 m/s, but no initial angular velocity. The kinetic friction force causes both linear acceleration and an angular acceleration; the kinetic friction coefficient between the ball and the floor is 0.1. When the balls linear speed has decreased enough and the ball’s angular speed has increased enough there will come a moment when the ball’s contact point with the floor is no longer skidding on the floor; at the critical moment the friction forces vanishes. After this moment the linear and angular velocities are constant.
a. How long does the ball slide?
b. How far does the ball slide?
c. What is balls linear speed when smooth rolling begins?
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