A bowler throws a bowling ball of radius R = 11 cm down a lane. The ball slides

Question

A bowler throws a bowling ball of radius R = 11 cm down a lane. The ball slides on the lane with initial speed v_com,o = 10.5 m/s and initial angular speed omega_0 = 0. The coefficient of kinetic friction between the ball and the lane is 0.22. The kinetic frictional force f_k 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 v_com has decreased enough and angular speed co has increased enough, the ball stops sliding and then rolls smoothly. What then is v_cm in terms of omega? m omega During the sliding, what is the ball's linear acceleration? m/s^2 During the sliding, what is the ball's angular acceleration? rad/s^2 How long does the ball slide? How far does the ball slide? m What is the speed of the ball when smooth rolling begins? m/s

Explanation / Answer

i am only answering part A and part F since for remaining parts you got the right answers

a)when the ball begins rolling

Vcm=RW

f)

since

V=Vo+at

V=10.5-2.156*1.39

V=7.5 m/s

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