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If an object has 0 momentum, does it have kinetic energy? Explain your answer.

If an object has 0 momentum then its kinetic energy is also 0, i.e. it does not have kinetic energy

We know momentum of an object is given as

P = mv

Where P is the momentum of object of mass m moving with speed v

Now, P = 0

i.e. mv = 0

So, either mass of object is 0, or its velocity is 0, i.e. it is at rest.

Now object will have some mass let it be m, so its velocity is 0

v = 0

now kinetic energy of any object is given as

Where m is the mass of the object moving with velocity v

Putting v = 0 in the above equation we get kinetic energy as

So, we get kinetic energy of the object as 0 J , so it does not have kinetic energy if momentum of the object is 0