Question

if an object has 0 momentum does it have kinetic energy ?

Answer 1

The total kinetic energy is the sum of the two. Because the momenta are "equal but opposite", the sum of momenta is zero. ... An object can have zero momentum when either its mass or its velocity is zero. Since, negetive mass doesn't exist, the velocity should be zero and thus, the object must be at rest.

Answer 2

Yes. It have kinetic energy

Momentum = Mass × Change in velocity

Kinetic energy = 0.5 × mass × velocity²


Momentum is zero when change in velocity is zero, but kinetic can never be zero when body is motion.

Also,
Momentum is vector (it has both magnitude and direction) but kinetic energy scalar (it has only magnitude).