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For a moving particle (mass m, velocity ...

For a moving particle (mass m, velocity v) having a momentum p, which one of the following correctly describes the kinetic energy of the particle?

A

`p^2/(2m)`

B

`p/(2m)`

C

`v^(2)/(2m)`

D

`v/(2m)`

Text Solution

Verified by Experts

The correct Answer is:
A
The kinetic energy of the particle is
`K=1/2 mv^2`
As momentum, p=mv or `p^2=m^2 v^2 "or" v^2=p^2/m^2`
`therefore K=1/2m(p^2/m^2)=p^2/(2m)`
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