A solid sphere, a solid cylinder, and a hoop all have the same mass and radius. Each are sent down identical inclined planes starting from rest. Their kinetic energies at the bottom of the incline are K_sphere, K_cylinder, and K_hoop. Which of the following is true? A) K_sphere K_cylinder B) K_hoop K_sphere C) K_hoop K_cylinder D) K_cylinder K_hoop E) No answer above is correct.

Question

A solid sphere, a solid cylinder, and a hoop all have the same mass and radius. Each are sent down identical inclined planes starting from rest. Their kinetic energies at the bottom of the incline are K_sphere, K_cylinder, and K_hoop. Which of the following is true? A) K_sphere > K_cylinder B) K_hoop > K_sphere C) K_hoop > K_cylinder D) K_cylinder > K_hoop E) No answer above is correct.

Quizplus · Accepted Answer

All objects have the same gravitational potential energy at the top, which converts entirely into kinetic energy at the bottom. Therefore, K_sphere = K_cylinder = K_hoop.

A Solid Sphere, a Solid Cylinder, and a Hoop All