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Question

# A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy (Kt) as well as rotational kinetic energy (Kr) simultaneously. The ratio Kt : (Kt + Kr) for the sphere is

A
7 : 10
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B
5 : 7
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C
10 : 7
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D
2 : 5
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Solution

## The correct option is B 5 : 7In rolling motion the translational kinetic energy is equal to Kt=12mv2 In rolling motion the rotational kinetic energy is equal to Kr=12IÏ‰2 Kr=12(25mr2)(v2r2) Kt+Kr=12mv2+12(25mr2)(v2r2) Kt+Kr=710mv2 KtKt+Kr=12mv2(710mv2)=57

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