Physics

Physics

Problem

Two objects of equal mass and radius—one a solid sphere and the other a thin hoop—roll without slipping down the same incline. At a point where both have the same center-of-mass speed vv, which statement correctly compares their rotational kinetic energies KrotK_{\text{rot}}? a) The solid sphere has greater KrotK_{\text{rot}} because it spins faster than the hoop. b) The hoop has greater KrotK_{\text{rot}} because its moment of inertia is larger. c) Both objects have the same KrotK_{\text{rot}} because they have the same mass and center-of-mass speed. d) The hoop has less KrotK_{\text{rot}} because its larger moment of inertia makes it rotate more slowly.

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