If momentum of a body is increased by 20 % , then its kinetic energy increases by :

Step-by-step solution

A body of mass m , moving with momentum p and kinetic energy K are related as follows, K = p 2 2 m . As the momentum of the body is increased by 20 % , then its momentum becomes, p + 20 100 p = 1 . 2   p and the mass of the body remains unchanged. So, kinetic energy is directly related to the square of momentum. Hence, new kinetic energy K ' will be, K ' = 1 . 2   p 2 2 m K ' = 1 . 44   K . So, the percentage change in kinetic energy = K ' - K K × 100 = 1 . 44 K - K K × 100