Question

what is the relation between kinetic energy and momentum??

Answer 1

Relation between momentum and kinetic energy

Sometimes it's desirable to express the kinetic energy of a particle in terms of the momentum. That's easy enough. Since and the kinetic energy  so



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

p = √2km

p = momentum

k = kinetic energy

m = mass