A hollow sphere of radius 0.120 m, with rotational inertia I = 0.0125 kg-m² about a line through its center of mass, rolls without slipping up a surface inclined at 10.5° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 18.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has moved 1.30 m up the incline from its initial position, what are (c) its total kinetic energy and (d) the speed of its center of mass?

A hollow sphere of radius 0.120 m, with rotational inertia I = 0.0125 kg-m² about a line through its center of mass, rolls without slipping up a surface inclined at 10.5° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 18.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has moved 1.30 m up the incline from its initial position, what are (c) its total kinetic energy and (d) the speed of its center of mass?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 7PQ: A 12.0-kg solid sphere of radius 1.50 m is being rotated by applying a constant tangential force of...

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