If the momentum of a body of mass ' m ' is increased by 20 % then its kinetic energy increases by

Step-by-step solution

K.E. = p ^2 2 ~m When momentum increases by 20 % , new momentum is p ^ aligned p ^ & = p +20 % p & = p +0.2 p =1.2 p aligned New kinetic energy, aligned K E ^ & = p ^ 2 2 ~m & = (1.2 p )^2 2 ~m = 1.44 p ^2 2 ~m aligned K E^ =1.44 ~K . E . Increase in kinetic energy is calculated by change in kinetic energy. aligned KE & = ( K E ^ - K E ) & =(1.44 ~K E - K E ) & =0.44 ~K . E & 44 % aligned