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Questions  

When a sphere rolls without slipping the ratio of its kinetic energy of translation to its total kinetic energy is

a
1 :7
b
1 : 2
c
1 : 1
d
5 : 7

detailed solution

Correct option is D

EkE=12mv212mv2+12Iω2=12mv212mv2+12×25mr2×v2/r2                       ∵ I=25mr2 and V=rω=11+(2/5)=57  or  5:7

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