A body rolls down an inclined plane. If its kinetic energy of rotation is 40% of its kinetic energy of translation motion, then the body is
A
Hollow cylinder
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B
Ring
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C
Solid disc
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D
Solid sphere
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E
Hollow sphere
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Solution
The correct option is D Solid sphere The ratio of kinetic energies KErotKEtrans=12mv2(K2R2)12mv2=k2R2=0.4=25 ⇒K2=25R2⇒mK2=25mR2 ⇒ Body is a solid sphere.