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## A spherical shell of radius 3.84 cm and a sphere of radius 7.72 cm are rolling without slipping along the same floor. The two objects have t

Question

A spherical shell of radius 3.84 cm and a sphere of radius 7.72 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the spherical shell’s angular speed to the sphere’s angular speed be?

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Physics
3 years
2021-07-29T19:43:34+00:00
2021-07-29T19:43:34+00:00 1 Answers
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## Answers ( )

Answer:Explanation:Let assume that both the spherical shell and the sphere are rigid bodies. The kinetic energy due to rolling is:

The moments of inertial for the spherical shell and the sphere are, respectively:

Spherical ShellSphereGiven that both rigid bodies have the same kinetic energy and the same mass, then:

The ratio of the spherical shell’s angular speed to the sphere’s angular spped is: