Question

drive a relation between kinetic energy and momentum

Answer 1

Relation between momentum and kinetic energy.

Note : That if a massive particle and a light particle have the same momentum, the light one will have a lot more kinetic energy. If a light particle and a heavy one have the same velocity, the heavy one has more kinetic energy.

Answer 2

We know, Momentum,P=mv
or v=P/m
squaring both side,
. v^2=P^2/m^2.--------------------eqn-1

We know K.E.=1/2mv^2----------------eqn-2

putting value of v^2 from eqn 1 in eqn 2,we get;
K.E=1/2mP^2/m^2
or K.E.= P^2/2m