If the kinetic energy of a moving body increases by 300 %, then by what percentage the momentum will increase?

Let the kinetic energy of the body be K and momentum of the body be p. 

K.E = 1/2 mv²           ... (1) 

Given that the K.E increases by 300 %. 

That is, 

Increasing factor of K.E = 300X 1/100 = 3 

Therefore, the new K.E, K' = K + 3K = 4K

Now, equation (1), we have 


 
Initial momentum, p = m v = m X  
  

That is, the momentum will increase by 100%.