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

Question

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

A) 150%

B) 200%

C) 225%

D) 300%

Answer 1

D) 300%

Explanations:

p'=100% x p+p

=2p

K'=(p')² /2m

=4p² /2m

4K= 3K + K

=300% K + K

KE becomes four times. It means that the kinetic energy increases by 300%.