Question

If the increase in the kinetic energy of a body is 22% then the increase in the momentum is nearly

Answer 1

P²/2m=KE

therefore

KE1/KE2=(P1/P2)²

KE2=22KE1/100+KE1=122KE1/100

so

KE1/KE2=KE1/122KE1/100

=100/122

therefore

(P1/P2)²=100/122

P1/P2=10/11.04

P2=11/10*P1

=1.1P1

increase=P2-P1/P1*100

=0.1P1/P1*100

=10%