If the momentum of a body is increased by 50%, then the

If the momentum of a body is increased by 50%, then the percentage increase in its kinetic energy is

Initial momentum (p₁) = p; Final momentum (p₂) = 1.5 p and initial kinetic energy (K₁) = K.

Kinetic energy (K) =	p²	∝ p²
	2m

or,

K₁

p₁

K₂

p₂

1.5 p

2.25

or, K₂ = 2.25 K.
Therefore, increase in kinetic energy is 2.25 K – K = 1.25 K or 125%.