Question:

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)

Updated On: Jan 28, 2024
  • $\frac {1}{2} mv^2$
  • $mv^2$
  • $\frac {4}{3} mv^2$
  • $\frac {4}{5} mv^2$
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The Correct Option is C

Solution and Explanation

Total energy $= KE + $ rotational $ KE$ $ =\frac{1}{2}(2 m ) v^{2}+\frac{1}{3} m v^{2} $ $ =\frac{4}{3} m v^{2}$
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Concepts Used:

Kinetic energy

Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.