Question

If the momentum of a body is increased by 50%, the percentage increase in its kinetic energy is

1) 100 2)50 3)125 4)200

Answer 1

3)125 IS THE CORRECT OPTION....

P2=P1+0.5P1=1.5P1

K1/K2=(P1/P2)^2

K1/K2=(P1/1.5P1)^2

K1/K2=1/2.25

K2=2.25K1

K2-K1=2.25K1-K1

=1.25K1

% INCREASE=1.25*100

=125

HOPE IT HELPS U....