A hollow sphere of radius 0.140 m, with rotational inertia / = 0.0243 kg-m2 about a line through its center of mass, rolls without slipping up a surface inclined at 11.1° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 11.0 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 0.520 m up the incline from its initial position, what are (c) its total kinetic energy and (d) the speed of its cente of mass?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 18P: Rigid rods of negligible mass lying along the y axis connect three particles (Fig. P10.18). The...
icon
Related questions
Question
A hollow sphere of radius 0.140 m, with rotational inertia l = 0.0243 kg-m? about a line through its center of mass, rolls without
slipping up a surface inclined at 11.1° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 11.0 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 0.520 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
i
Units
(c) Number
Units
(d) Number
i
Units
<>
<>
<>
<>
Transcribed Image Text:A hollow sphere of radius 0.140 m, with rotational inertia l = 0.0243 kg-m? about a line through its center of mass, rolls without slipping up a surface inclined at 11.1° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 11.0 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 0.520 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 i Units (c) Number Units (d) Number i Units <> <> <> <>
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Rotational Kinetic energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning