Question

give a relationship between kinetic energy and momentum?

Answer 1

Sometimes it's desirable to express the kinetic energy of a particle in terms of the momentum. 2

KE=mv22

p=mv

so if v=pm then KE=m2⋅(pm)2 so KE=12⋅p2m

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

Hey mate ❤

Hope it helps uh

Sometimes it's desirable to express the kinetic energy of a particle in terms of the momentum. That's easy enough. Since p = m*v and the kinetic energy k.E = 1/2mv² so

$k.e = 1 \div 2m(p \div m) {}^{2}$
$k = p {}^{2} \div 2m$


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.