Question #71971

1 Answer
Sep 27, 2017

22.4%

Explanation:

The relation between kinetic energy K and momentum p of an object is
p=sqrt(2mK)
where m is the mass of object

First let momentum is p_1=p=sqrt(2mK)
and Kinetic Energy K_1=K

Now Kinetic Energy of Body is increased by 50%.
Increase in Kinetic energy =Kxx50/100=K/2

Now the total Kinetic Energy is K_2=K+1/2K=3/2K
Now Momentum p_2=sqrt(2mK_2)
p_2=sqrt(2m(3/2K))=sqrt(3/2(2mK))=sqrt(3/2) sqrt(2mK)
But sqrt(2mK)=p_1
p_2=sqrt(3/2)p_1=sqrt(3/2)p

Increase in Momentum = p_2-p_1=sqrt(3/2)p-p=(sqrt(1.5)-1)p
=0.224p

Percent increase in momentum =0.224p/pxx100%=22.4%