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Question: Answered & Verified by Expert
A thin hollow sphere of mass $m$ is completely filled with a liquid of mass $m$. When the sphere rolls with a velocity $v$, kinetic energy of the system is (neglect friction)
PhysicsKinetic Theory of GasesAP EAMCETAP EAMCET 2011
Options:
  • A $\frac{1}{2} m v^2$
  • B $m v^2$
  • C $\frac{4}{3} m v^2$
  • D $\frac{4}{5} m v^2$
Solution:
2902 Upvotes Verified Answer
The correct answer is: $\frac{4}{3} m v^2$
$\begin{aligned} \text { Total energy } & =\mathrm{KE}+\text { rotational } \mathrm{KE} \\ & =\frac{1}{2}(2 m) v^2+\frac{1}{3} m v^2 \\ & =\frac{4}{3} m v^2\end{aligned}$

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