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Question

# A ball of mass m moving with speed u undergoes a head on collision with a stationary ball of mass 3m. If collision is perfectly inelastic, find the loss of kinetic energy.

A
14mu2
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B
18mu2
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C
116mu2
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D
38mu2
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Solution

## The correct option is D 38mu2For inelastic collision, both ball will move together with speed v after collision. Now, applying momentum conservation, mu+0=(m+3m)v ⇒v=u4 Initial kinetic energy =12mu2 Final kinetic energy =12(m+3m)v2 =12(4m)(u4)2 =18mu2 So, Loss in KE = Initial KE - Final KE =12mu2−18mu2 =38mu2

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