Question

A body of $5kg$ has momentum of $10kgm/s$. Its kinetic energy is .

• A. $10N/m^2$
• B. $30J$
• C. $10J$
• D. $15J$

Answer 1

The correct option is C $10J$

Kinetic energy = $\frac{1}{2}m{v}^2$, where $m$ and $v$ are mass and velocity respectively.
Momentum $P$ = $mv$, where $m$ and $v$ are mass and velocity respectively.
Relation between kinetic energy and momentum
$KineticEnergy$ = $\frac{P^2}{2m}$
$K.E$ = $\frac{100}{10}=10J$