Question

if kinetic energy of a body is increased by 300% then percentage change in its Momentum will be​

Answer 1

The change in momentum will be 100%.

Explanation:

If K is the kinetic energy of mass “m” and increased by 300% then,

K’ = K + 3K = 4K         ……... (i)

We know that,

K = p^2/2m

So, equation (i) becomes

P’2/2m = 4 p^2/2m

P’^2 = 4p^2

By taking square root on both sides,

P’ =2p

Hence, momentum will increase 100%.