A bowler throws a bowling ball of radius R=10.0 cm along a lane at t=0. The ball slides on the lane with initial speed vcom,0 = 8.5 m/s and initial angular speed is zero. The coefficient of kinetic friction between the ball and the lane is 0.21. The kinetic frictional force fk acting on the ball causes a linear acceleration of the ball while producing a torque that causes an angular acceleration of the ball. When speed vcom has decreased enough and angular

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Chapter1: Units, Trigonometry. And Vectors
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A bowler throws a bowling ball of radius R=10.0 cm along a lane at t=0. The ball slides on the lane with initial speed vcom,0 = 8.5 m/s and initial angular speed is zero. The coefficient of kinetic friction between the ball and the lane is 0.21. The kinetic frictional force fk acting on the ball causes a linear acceleration of the ball while producing a torque that causes an angular acceleration of the ball. When speed vcom has decreased enough and angular speed v has increased enough, the ball stops sliding and then rolls without slipping. (The moment of inertia of a solid ball is 2/5MR2 ) (a) During the sliding, what are the ball’s linear acceleration and angular acceleration? (b) At which time does it start to roll without slipping? (c) What is the linear speed of the ball when smooth rolling begins?

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