Question

if a momentum of a body is increased by 50% its kinetic energy will be increased by

Answer 1

the kinetic energy will increase by 125%

relation of kinetic energy and momentum  that means initial K,E.=p^2/2m    ---1

new momentum =p+50%p=3/2p

put value of momentum in equation  ---1

we get final K.E. =9p^2/8m       ----2

equating 1 &2 we get

final K.E.=9/4 times initial K.E

now find the  change in K.E  

K.E (FINAL)-K.E (INITIAL)

now by calculating =change in kinetic energy/initial K.E     into 100 we get

125%