Question

If the kinetic energy of a body becomes four times of its initial value, then new momentum will:

• A. become twice its initial value
• B. become three times, its initial value
• C. become four times, its initial value
• D. remain constant

Answer 1

The correct option is A become twice its initial value

$KE=\frac{1}{2}m{v}^2$ , $P=mv$
KE becomes $4$ times $⟹v_f=2v$
$\therefore P_f=2mv$
$\therefore P_f=2P$