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A ball of mass m moving with a certain velocity collides against a stationary ball of mass m. The two balls stick together during collision. If E be the initial kinetic energy, then the loss of kinetic energy in the collision is

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a
E
b
E/2
c
E/3
d
E/4

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detailed solution

Correct option is B

Applying the law of conservation of momentummv1+0=(2m)v2 . . v2=v1/2  Loss of K.E. =12mv12−12(2m)v22 =12mv12−12×2m×v12/4 =12mv121−12=E/2


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