A spherical bowling ball with mass m = 3.5 kg and radius R = 0.117 m is thrown d

Question

A spherical bowling ball with mass m = 3.5 kg and radius R = 0.117 m is thrown down the lane with an initial speed of v = 8.4 m/s. The coefficient of kinetic friction between the sliding ball and the ground is ? = 0.34. Once the ball begins to roll without slipping it moves with a constant velocity down the lane.

1)

What is the magnitude of the angular acceleration of the bowling ball as it slides down the lane?

71.26rad/s2

2)

What is magnitude of the linear acceleration of the bowling ball as it slides down the lane?

3.33m/s2

3)

How long does it take the bowling ball to begin rolling without slipping?

s

4)

How far does the bowling ball slide before it begins to roll without slipping?

m

5)

What is the magnitude of the final velocity?

m/s

6)

After the bowling ball begins to roll without slipping, compare the rotational and translational kinetic energy of the bowling ball:

KErot < KEtran

KErot = KEtran

KErot > KEtran

Explanation / Answer

1.) (5ug)/(2R)

2.) ug

3.) (2Vo)/(7ug)

4.) (12Vo^2)/(49ug)

6.) KErot<KEtran

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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