Baby Huey rolls a rubber ball (a hollow sphere) of mass M and radius R up a hillside, giving it an initial kinetic energy of Ki. It rolls over the top of the hill of height h and keeps going. The ball rolls without slipping. a) Do a good, well labeled diagram for this. b) Find the general formula for the total kinetic enerty Ktot of the ball when it has a translational velocity v. Write your answer in terms of M, R, and v only. Assume it rolls without slipping. c) Given the height of the hill is h=1.45m ,Ki = 27J, R = 0.243 m, and M = 0.9 kg, find the total kinetic energy Kf at the top of the hill. d) Find the translational velocity vf at the top of the hill. c) Find the rotational velocity wf at the top of the hill.
Baby Huey rolls a rubber ball (a hollow sphere) of mass M and radius R up a hillside, giving it an initial kinetic energy of Ki. It rolls over the top of the hill of height h and keeps going. The ball rolls without slipping.
a) Do a good, well labeled diagram for this.
b) Find the general formula for the total kinetic enerty Ktot of the ball when it has a translational velocity v. Write your answer in terms of M, R, and v only. Assume it rolls without slipping.
c) Given the height of the hill is h=1.45m ,Ki = 27J, R = 0.243 m, and M = 0.9 kg, find the total kinetic energy Kf at the top of the hill.
d) Find the translational velocity vf at the top of the hill.
c) Find the rotational velocity wf at the top of the hill.
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