Question

if the momentum of a body is decreased by 30% by keeping mass constant what will be percentage change in kinetic energy. explain in the full process by solving it.​

Answer 1

Answer:

k.e = 1/2 mvsq

p= m.v

in a k.e multiply denominator and numerator by m

= 1/2 msq vs q/m

e= 1/2 psq/m

considering mass to be constant if p is decreased by 30% then

new p = p -30/100 p = 0.7p

and

new k.e = (0.7p)/2m

we know that

k.e = (1/2musq)

new k.e = 0.49psq / 2m

% age decrease in k.e = (k.e new k.e) / k. e

there for decrease in k.e = 51%