Question

If the momentum of a body is increased by n times, then its kinetic energy increases :

• A. n times
• B. $n^2$ times
• C. 2n times
• D. $\sqrt{n}$ times

Answer 1

The correct option is B $n^2$ times

We know that, $KE=\frac{p^2}{2m}$
i.e., $KE\propto p^2$
If p is increased n times, then KE will increased by $n^2$ times.