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Question

A thin hollow sphere of mass m is completely filled with non-viscous liquid of mass m. When the sphere rolls on horizontal ground such that centre moves with velocity v, kinetic energy of the system is equal to :


A
mv2
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B
43mv2
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C
45mv2
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D
None of these
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Solution

The correct options are
B 43mv2
Non-viscous liquid has only translational kinetic energy.
 KEsystem= (Translational + Rotational) K.E of hollow sphere + Translational K.E of liquid
=12mv2+12×I(ω)2+12mv2
For pure rolling v=ωR 
 KEsystem=12mv2+12×23mR2(vR)2+12mv2=43mv2 

Physics

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