14. A sphere with the same mass and radius as the original cylinder, but a smaller rotational inertia, is released from rest from the top of the ramp. K, and K. are the sphere's and the cylinder's total kinetic energy at the bottom of the ramp, respectively. How do K, and K̟ compare, and why? (A) K, < K, because the sphere will gain less rotational kinetic energy. (B) K, < K., because the sphere has a greater acceleration and therefore has less time to gain kinetic energy. (C) K, = K, because both objects accelerate at %3D the same rate. (D) K, = K̟, because the gravitational force %3D does equal work on each object as it rolls down the ramp.

14. A sphere with the same mass and radius as the original cylinder, but a smaller rotational inertia, is released from rest from the top of the ramp. K, and K. are the sphere's and the cylinder's total kinetic energy at the bottom of the ramp, respectively. How do K, and K̟ compare, and why? (A) K, < K, because the sphere will gain less rotational kinetic energy. (B) K, < K., because the sphere has a greater acceleration and therefore has less time to gain kinetic energy. (C) K, = K, because both objects accelerate at %3D the same rate. (D) K, = K̟, because the gravitational force %3D does equal work on each object as it rolls down the ramp.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 27P: A solid cylinder of radius 10.0 cm rolls down an incline with slipping. The angle of the incline is...

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