Question

If the momentum of a body is increased 4 times, the kinetic energy will be increased by

• A. 2 times
• B. 4 times
• C. 16 times
• D. 8 times

Answer 1

Answer: (C)

16 times

Let the initial velocity be $v$ , so final will be $4v$.

let the $K{E}_{initial}=\frac{m{v}^2}{2}$

$K{E}_{final}=\frac{m(4v{)}^2}{2}$

so $K{E}_{final}=16\times K{E}_{initial}$