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.
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