If the kinetic energy of a moving body becomes four times its initial kinetic energy, then the percentage change in its momentum will be:

Step-by-step solution

K 2 = 4   K 1 1 2 m v 2 2 = 4 × 1 2 m v 1 2 v 2 = 2 v 1 P = m v P 2 = m v 2 = 2 m v 1 P 1 = m v 1 % change = Δ P P 1 × 100 = 2 m v 1 - m v 1 m v 1 × 100 = 100 %