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Question

A hollow sphere and a solid sphere having same mass and same radii are rolled down a rough inclined plane.

A
The hollow sphere reaches the bottom first.
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B
The solid sphere reaches the bottom with greater speed.
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C
The solid sphere reaches the bottom with greater kinetic energy.
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D
The two spheres will reach the bottom with same linear momentum.
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Solution

The correct option is C The solid sphere reaches the bottom with greater speed.
The solid sphere is has the moment of inertia as 2mr25 and that of hollow sphere is 2mr23. The moment of inertia for hollow sphere is larger thereby having a greater resistance to motion. Thus the solid sphere will have greater speed.

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