
(a)
The percent of total kinetic energy of a sphere is its translational kinetic energy.
(a)

Answer to Problem 84P
Explanation of Solution
Given:
A uniform sphere is rolling without friction.
Formula used:
The total kinetic energy is sum of translational kinetic energy and rotational kinetic energy is given as:
Where, m is the mass, v is the velocity, I is the moment of inertia and
Calculation:
Translational Kinetic energy of sphere
Kinetic energy of an object is the sum of its rotational kinetic energy and translational kinetic energy which can be determined as follows
The ratio of translational kinetic energy and rotational kinetic energy is given as
For sphere,
Therefore,
Conclusion:
71.4% percentage of a sphere total kinetic energy is its translational kinetic energy
(b)
The percent of kinetic energy is translational kinetic energy of a uniform cylinder.
(b)

Answer to Problem 84P
66.7%
Explanation of Solution
Given:
Uniform Cylinder is rolling without friction.
Formula used:
The total kinetic energy is sum of translational kinetic energy and rotational kinetic energy is given as:
Where, m is the mass, v is the velocity, I is the moment of inertia and
Calculation:
Translational Kinetic energy of uniform cylinder
Kinetic energy of an object is the sum of its rotational kinetic energy and translational kinetic energy which can be determined as follows
The ratio of translational kinetic energy and rotational kinetic energy is given as
For uniform cylinder
Therefore,
Conclusion:
66.7% percentage of a uniform cylinder total kinetic energy is its translational kinetic energy
(c)
The percent of total kinetic energy of a hoop is its translational kinetic energy.
(c)

Answer to Problem 84P
50%
Explanation of Solution
Given:
Hoop is rolling without friction
Formula used:
The total kinetic energy is sum of translational kinetic energy and rotational kinetic energy is given as:
Where, m is the mass, v is the velocity, I is the moment of inertia and
Calculation:
Translational Kinetic energy of a hoop
Kinetic energy of an object is the sum of its rotational kinetic energy and translational kinetic energy which can be determined as follows
The ratio of translational kinetic energy and rotational kinetic energy is given as
For hoop
Therefore,
Conclusion:
50.0% percentage of a sphere total kinetic energy is its translational kinetic energy
Want to see more full solutions like this?
Chapter 9 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
- An object is placed 24.1 cm to the left of a diverging lens (f = -6.51 cm). A concave mirror (f= 14.8 cm) is placed 30.2 cm to the right of the lens to form an image of the first image formed by the lens. Find the final image distance, measured relative to the mirror. (b) Is the final image real or virtual? (c) Is the final image upright or inverted with respect to the original object?arrow_forwardConcept Simulation 26.4 provides the option of exploring the ray diagram that applies to this problem. The distance between an object and its image formed by a diverging lens is 5.90 cm. The focal length of the lens is -2.60 cm. Find (a) the image distance and (b) the object distance.arrow_forwardPls help ASAParrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University





