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A body of mass m moving with velocity v makes a head-on collision with another body of mass 2 m which is initially at rest. The loss of kinetic energy of the colliding body (mass m) is

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a
12 of its initial kinetic energy
b
19 of its initial kinetic energy
c
89 of its initial kinetic energy
d
14 of its initial kinetic energy

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detailed solution

Correct option is C

ΔKK=1−m1−m2m1+m22=1−m−2mm+2m2=89ΔK=89K i.e. loss of kinetic energy of the colliding body is 89 of its initial kinetic energy.

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