A bowler throws a bowling ball of radius R along a lane. The ball slides on the

Question

A bowler throws a bowling ball of radius R along a lane. The ball slides on the
lane, with initial speed v0, and an initial zero angular velocity. The kinetic friction force f (f=µkN) acting on the ball causes a linear acceleration of the ball while producing a torque that causes an angular acceleration of the ball. When rolling without slipping condition is achieved, the ball rolls smoothly. I=2MR^2/5. Known: v0, µk, g.
a) How long does the ball slide? (find time)
b) What is the final speed of the ball?
c) How far does the ball slide?(find distance)

Explanation / Answer

Let s be the required Displacement µmg*s + 0.5*I*w^2 = 0.5*m*v^2 µmgs + (1/5)mv^2 = (1/2)mv^2 Therefore µmgs = (3/10)mv^2 Therefore s = v^2/µg

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.