A solid spherical ball with mass M- 7 kg, radius R 0.3 m, and initial velocity v

Question

A solid spherical ball with mass M- 7 kg, radius R 0.3 m, and initial velocity v up a ramp and reaches the top. (Recall I- 2/5 M R2 for a solid uniform sphere.) 5 m/s rolls without slipping 1. Calculate Li, the initial angular momentum of the ball around its rotation axis before it goes up the ramp. (a) L 3.57 kg m2/s (b) 4.20 kg m2/s (c) # 8.62 kg m2/s (d) L(# 13.3 kg m'/s (e) L 35 kg m'/s -0.75 m 2.Calculate E, the total kinetic energy of the ball before it goes up the ramp. (a) E-67.5 (b) E 84.3J (c) E-98.1 (d) E 123 E 152J 3. Sally sits on a frictionless, rotatable bar stool. Initially the stool is stationary, i.e. not rotating. She holds horizontally a bicycle wheel that is spinning counterclockwise (when viewed from above). Sally then flips the bicycle wheel 180°, i.e. so that it is again horizontal but spins in the opposite direction (i.e. clockwise). After flipping the wheel, which direction does Sally spin? (a) clockwise (b) counterclockwise c) Sally will not spin.

Explanation / Answer

L =I. w = (2/5MR^2)w = 2/5MR^2w = 2/5*7*0.3*0.3*5/0.3 = 4.2

E = 123 J

3. counterclockwise

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