A billiard ball initially at rest is given a sharp blow by a cue stick. The force

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A billiard ball initially at rest is given a sharp blow by a cue stick. The force is horizontal and is applied at a distance 2R/3 below the centerline, as shown in Figure. The initial speed of the ball is v0, and the coefficient of kinetic friction is μk

(a) What is the initial angular speed ω0

(b) What is the speed of the ball once it begins to roll without slipping? 

(c) What is the initial kinetic energy of the ball? 

(d) What is the frictional work done as it slides on the table?

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