#1 A spherical bowling ball with mass m = 3.7 kg and radius R = 0.102 m is thrown down the lane with an initial speed of v = 8.8 m/s. The coefficient of kinetic friction between the sliding ball and the ground is = 0.3. 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? rad/s²

2)What is magnitude of the linear acceleration of the bowling ball as it slides down the lane? m/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

#2A meterstick (L = 1 m) has a mass of m = 0.181 kg. Initially it hangs from two short strings: one at the 25 cm mark and one at the 75 cm mark.

1)What is the tension in the left string? N

2)Now the right string is cut! What is the initial angular acceleration of the meterstick about its pivot point? (You may assume the rod pivots about the left string, and the string remains vertical) rad/s²

3)What is the tension in the left string right after the right string is cut? N

4)After the right string is cut, the meterstick swings down to where it is vertical for an instant before it swings back up in the other direction.

What is the angular speed when the meterstick is vertical? rad/s

5)What is the acceleration of the center of mass of the meterstick when it is vertical? m/s²

6)What is the tension in the string when the meterstick is vertical? N