In the non-relativistic regime, if the momentum, is increased by 100%, the percentage increase in kinetic energy is

In the non-relativistic regime, if the momentum, is increased by 100%,

1.	In the non-relativistic regime, if the momentum, is increased by 100%, the percentage increase in kinetic energy is
Answer» 100% 200% 3 400% SOLUTION :Kinetic energy , `K = (p^2)/(2m)` Since m REMAINS costant , so `K PROP p^2` `:. (K_1)/(K_2) = ((p_1)/(p_2))^(2) = 1/4" or " K_2 = 4K_1` Percentage increase in kinetic energy = `(K_2 - K_1)/(K_1) xx 100%` `= (4K_1 - K_1)/(K_1) xx 100% = 300%`.