Question

if the momentum is increased by 100% then its kinetic energy is​

Answer 1

if momentum is increased by 100% then KE will be increased by 200%

Answer 2

Answer:

Kinetic energy = p^2/2m    

If the momentum increases by 100% , then the p increases to 2p.

Substitute p =1

K before increase in momentum = p^2/2m = 1/2m                  - (1)

K' after increase in momentum by 100% = 2p^2/2m= 4/2m     - (2)

Let p = 1 

Divide (2) by (1) and substitute p=1

K'/K = (4/2m) / (1/2m)

            = 4 ( 2m gets divided by 2m to give 1)

      K'= 4K ( cross-multiplication)

Percentage increase = (K'-K / K) * 100

                                  = (4K-K/K) *100

                                  = (3K /K) *100

                                  = 3*100

                                  = 300%

When momentum of a body increases by 100% then its kinetic energy will increase by 300%