Question

When the kinetic energy of a body is doubled, its momentum increases by ...... times.

• A. $\sqrt{2}$
• B. $2$
• C. $4$
• D. $2\sqrt{2}$
• E. $\frac{1}{\sqrt{2}}$

Answer 1

Answer: (A)

$p=\sqrt{2m{E}_k}$
If $E_k$ is doubled then p increases by $\sqrt{2}$ times.