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A thin hollow sphere of mass 'm' is completely filled with a liquid of mass 'm'. When the sphere rolls with a velocity 'V' at center of mass , then kinetic energy of the system is [neglect friction]

a
710mv2
b
53mv2
c
13mv2
d
43mv2

detailed solution

Correct option is D

total kinetic energy of the hollow sphere 12mv21+k2r2=12mv21+23=56mv2 kinetic energy of the liquid 12mv2 total kinetic energy is 56mv2+12mv2=43mv2

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