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Kinetic Energy

A body of 5 k...

Question

A body of $5 k g$ has momentum of $10 k g m / s$ . Its kinetic energy is .

A

10 N / m^{2}

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B

30 J

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C

10 J

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D

15 J

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Solution

The correct option is C $10 J$
Kinetic energy = $\frac{1}{2} m v^{2}$ , where $m$ and $v$ are mass and velocity respectively.
Momentum $P$ = $m v$ , where $m$ and $v$ are mass and velocity respectively.
Relation between kinetic energy and momentum
$K i n e t i c E n e r g y$ = $\frac{P^{2}}{2 m}$
$K . E$ = $\frac{100}{10} = 10 J$

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