The kinetic energy of a body becomes four times its intial value , the new linear momentum will be ………..

The kinetic energy of a body becomes four times its intial value , the

1.	The kinetic energy of a body becomes four times its intial value , the new linear momentum will be ………..
Answer» four times the INITIAL value three times the initial value twice the initial value same as initial value Solution :If P is MOMENTUM and K is the kinetic ENERGY . `K = (p^(2))/(2m)` when m = mass of BODY `:. (p^(2))/K =2m ` constant ` :. (p_(1)^(2))/(K_(1))=(p_(2)^(2))/(K_(2))` But `K_(2) =4K_(1)` ` :. (p_(1)^(2))/(p_(2)^(2)) =(K_(1))/(4K_(2))` But ` ((p_(1))/(p_(2)))^(2) =1/4` ` :. (p_(1))/(p_(2))= 1/2 ` ` :. p_(2) = 2p_(1)`