drive a relation between k.e and momentum
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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 k=1/2mv^2 so
k=1/2m*(p/m)^2=p^2/2m
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.
k=1/2m*(p/m)^2=p^2/2m
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.
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