Multiple choice

If momentum of a body is increased by 100%, then the percentage increase in kinetic energy is

  1. 200%

  2. 225%

  3. 150%

  4. 300%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

If P is the momentum, then its kinetic energy is K = p2/2m. Initial momentum is P1 = 100, then final momentum is P2 = 200. Now K2/K1 = P22/P12 = 40000/10000 = 4. That means Kinetic energy increases by 300%. The correct answer is (4)