Question

The kinetic energy of a body becomes four times its initial value. The new linear momentum wiII be

• A. Eight times of the initial value
• B. Four times of the initial value
• C. Twice of the initial value
• D. Remain as the initial value

Answer 1

Answer: (C)

Twice of the initial value

$P=mv$

$KE=0.5m{v}^2=P^2/2m$

$K{E}_1/K{E}_2=P_1^2/P_2^2$

$4=P_1^2/P_2^2$

Linear momentum becomes twice.