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## Homework Statement

A bowler throws a bowling ball of radius

*R*= 11 cm along a lane. The ball (the figure) slides on the lane with initial speed

*v*com,0 = 7.8 m/s and initial angular speed ω0 = 0. The coefficient of kinetic friction between the ball and the lane is 0.13. The kinetic frictional force http://edugen.wileyplus.com/edugen/courses/crs7165/art/qb/qu/c11/low_fvec.gif

*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 φ has increased enough, the ball stops sliding and then rolls smoothly. During the sliding, what are the ball's

**(a)**linear acceleration and

**(b)**angular acceleration?

**(c)**How long does the ball slide?

**(d)**How far does the ball slide?

**(e)**What is the linear speed of the ball when smooth rolling begins? Note that the clockwise direction is taken as negative.

## Homework Equations

Second Laws: F=m*a and. Torque=I*angular acceleration

I=(2/5)mR^2 ------ this I am not sure. This is probs where i went wrong.

## The Attempt at a Solution

For part a, I used Newtons second law

-m*a=friction force

thus a=-frictionconstant * 9.8=-1.274

Part b,

I had this expression, Iα=R*μ*m*g

where i too I to be I=(2/5)mR^2

and i got α=28.9545

But this is WRONG

Part C i got 1.74927... which is correct

Part D is wrong followed by the wrong answer from part B

Part e i got the right answer