A basketball, which can be modelled as a hollow sphere (Icm = (2/3)MR2 ) of mass M and radius R, rolls without slipping on a horizontal surface. The speed of the ball's center of mass with respect to the ground is Vo = 4.01 m/s. Part (a) Suppose the basketball goes up a small hill, continuing to roll without slipping. How high up the hill (height h) in meters does the ball go before it comes to rest? Part (b) Now suppose that the hill is covered with ice, so the basketball does not grip the ground at all and slides up the hill with a constant rotational speed about the center of mass. How high up in meters does the ball go up in this case?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A basketball, which can be modelled as a hollow sphere (Icm = (2/3)MR² ) of mass M and radius R, rolls
without slipping on a horizontal surface. The speed of the ball's center of mass with respect to the ground is
Vo = 4.01 m/s.
Part (a) Suppose the basketball goes up a small hill, continuing to roll without slipping. How high up the hill (height h) in meters
does the ball go before it comes to rest?
Part (b) Now suppose that the hill is covered with ice, so the basketball does not grip the ground at all and slides up the hill with a
constant rotational speed about the center of mass. How high up in meters does the ball go up in this case?
Transcribed Image Text:A basketball, which can be modelled as a hollow sphere (Icm = (2/3)MR² ) of mass M and radius R, rolls without slipping on a horizontal surface. The speed of the ball's center of mass with respect to the ground is Vo = 4.01 m/s. Part (a) Suppose the basketball goes up a small hill, continuing to roll without slipping. How high up the hill (height h) in meters does the ball go before it comes to rest? Part (b) Now suppose that the hill is covered with ice, so the basketball does not grip the ground at all and slides up the hill with a constant rotational speed about the center of mass. How high up in meters does the ball go up in this case?
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