A hollow sphere of radius 0.210 m, with rotational inertia /= 0.0293 kg-m2 about a line through its center of mass, rolls without slipping up a surface inclined at 15.0° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 16.0 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 1.30m up the incline from its initial position, what are (c) its total kinetic energy and (d) the speed of its center of mass? (a) Number Units (b) Number i Units m/s (c) Number i Units (d) Number i Units m/s

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 59P: A cylinder of mass 10.0 kg rolls without slipping on a horizontal surface. At a certain instant, its...
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A hollow sphere of radius 0.210 m, with rotational inertia l = 0.0293 kg-m² about a line through its center of mass, rolls without
slipping up a surface inclined at 15.0° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 16.0 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
%3D
of mass?
(a) Number
i
Units
(b) Number
Units
m/s
(c)
Number
i
Units
(d)
Number
i
Units
m/s
Transcribed Image Text:A hollow sphere of radius 0.210 m, with rotational inertia l = 0.0293 kg-m² about a line through its center of mass, rolls without slipping up a surface inclined at 15.0° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 16.0 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 %3D of mass? (a) Number i Units (b) Number Units m/s (c) Number i Units (d) Number i Units m/s
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