A uniform sphere with mass M and radius R is rotating with angular speed v1 about a frictionless axle along a diameter of the sphere. The sphere has rotational kinetic energyK1. A thin-walled hollow sphere has the same mass and radius as the uniform sphere. It is also rotating about a fixed axis along its diameter. In terms of v1, what angular speed must the hollow sphere have if its kinetic energy is also K1, the same as for the uniform sphere?

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A uniform sphere with mass M and radius R is rotating with
angular speed v1 about a frictionless axle along a diameter of the
sphere. The sphere has rotational kinetic energyK1. A thin-walled hollow
sphere has the same mass and radius as the uniform sphere. It is
also rotating about a fixed axis along its diameter. In terms of v1, what
angular speed must the hollow sphere have if its kinetic energy is also
K1, the same as for the uniform sphere?

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