The momentum of a body is increased by 50%. The percentage increase in the kinetic energy of the body is _________ %.

Question

G1 Physics · Accepted Answer

For a fixed mass, K = p²/(2m) Momentum increases by 50%, so p₂ = 1.5p₁ Therefore, K₂/K₁ = (p₂/p₁)² = (1.5)² = 2.25 Increase in kinetic energy: (2.25 − 1)×100% = 125% Final value: 125