Find the change in momentum of a body when its kinetic energy becomes four times the original value.
We know that
Kinetic Energy =
P = Momentum.
Ki = Initial Kinetic Energy
Pi = Initial Momentum
⇒
Kf = Final Kinetic Energy
Pf = Final Momentum
⇒
Given Kf = 4 Ki
⇒
⇒
⇒
Hence the Momentum of body will be doubled when the kinetic energy is increased four times.