A 625 gram basketball with a radius of 11.0 cm is a uniform hollow sphere that rolls without slipping along a horizontal surface of a floor such that the translational speed of the center of mass is 5.00 m/s. (a) What is the moment of inertia of the basketball? (b) What is the angular speed about the center of mass of the basketball as it rolls along the floor? (c) The basketball then reaches an incline that makes an angle of 30.0° above the horizontal. If we ignore any energy losses due to dissipative forces, then to what maximum vertical height above the floor will the basketball reach? Include a diagram of the situation.

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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A 625 gram basketball with a radius of 11.0 cm is a uniform hollow sphere that rolls without
slipping along a horizontal surface of a floor such that the translational speed of the center of
mass is 5.00 m/s. (a) What is the moment of inertia of the basketball? (b) What is the angular
speed about the center of mass of the basketball as it rolls along the floor? (c) The basketball
then reaches an incline that makes an angle of 30.0° above the horizontal. If we ignore any
energy losses due to dissipative forces, then to what maximum vertical height above the floor
will the basketball reach? Include a diagram of the situation.
Transcribed Image Text:A 625 gram basketball with a radius of 11.0 cm is a uniform hollow sphere that rolls without slipping along a horizontal surface of a floor such that the translational speed of the center of mass is 5.00 m/s. (a) What is the moment of inertia of the basketball? (b) What is the angular speed about the center of mass of the basketball as it rolls along the floor? (c) The basketball then reaches an incline that makes an angle of 30.0° above the horizontal. If we ignore any energy losses due to dissipative forces, then to what maximum vertical height above the floor will the basketball reach? Include a diagram of the situation.
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