Question

if the kinetic energy of a body doubled , then it's momentum is​

Answer 1

Answer:

The relation between kinetic energy (K) and momentum (p) is given by, K=  P^2/2m

 

​  

 where m be the mass  of the body,

So, p=$\sqrt{2mk}$

If kinetic energy is doubled, the momentum becomes, p'=$\sqrt{2m(2K)}$

=$\sqrt{2p}$

Hence , if the kinetic energy of a body doubled , then it's momentum is​

is $\sqrt{2}$ times larger .

 

​