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Question

A body of mass m has a momentum p. What is its kinetic energy?

A
p22m
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B
p2m
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C
p22
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D
pm2
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Solution

The correct option is A p22m
Kinetic energy, K.E.=12mv2...(i)
Let the speed of the body be v.
Momentum, p=mv
v=pm...(ii)
Substituting the value of v from equation (ii) in equation (i), we get:
K.E.=12m(pm)2
K.E.=p22m

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