A light and a heavy object have the same momentum. Find out the ratio of their kinetic energies. Which one has a larger kinetic energy?

Soln:

Kinetic energy equation: Ek=

¹mv2 2

Ek= ¹mv2 2

Momentum equation: p=mv

p=mv

Kinetic energy equation in terms of momentum: Ek= 𝑝2

2𝑚

Kinetic energy of two objects will be same if their mass and momentum are same. Among light and heavy bodies Heavy body has highest momentum. When the momentum is equal light body has more kinetic energy.