Question

A spherical bowling ball with mass m = 3.8 kg and radius R = 0.106 m is thrown down the lane with an initial speed of v = 8 m/s. The coefficient of kinetic friction between the sliding ball and the ground is p = 0.33. 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 Submit 2) What is magnitude of the linear acceleration of the bowling ball as it slides down the lane? m/s2 Submit 3) How long does it take the bowling ball to begin rolling without slipping? s Submit 4) How far does the bowling ball slide before it begins to roll without slipping? m Submit 5) What is the magnitude of the final velocity? m/s Submit

Answer 1

U MR2 t-fi R = M, NR - mgr 2 = 7 - Mimga R2 Zmo2 Z kg = R 2 x 0.33x9.8 0 .106 76.27 radish mm a = fx = -9 mg = kg = -0.33 x 9.8 - - 3. 234 m/s2 ③ at solly without slippis VI - WIR v=votat - 0 w'- Wotat - otat -at -② from ① & ② v-wir Votat - atR date to you (LR-a) - 8 (76.27X 106-3-234) v 1.65 sec Ap 4 x = vottt at? = 8x 1.65- 1 x 3. 234 x (1.653 ~ 8.8 m Capprox) As