Question

Can an object have mechanical energy even if it's momentum is 0

Answer 1

Zero momentum means zero kinetic energy but you still can still have potential energy with zero momentum like a when you hold a object above the sea level. So, having potential energy means object will have Mechanical Energy.

Answer 2

✔️Momentum zero means that the Kinetic energy is zero.

✔️But mechanical energy is the sum of both Kinetic energy and potential energy.

✔️So yes, an object can have potential energy, and thus mechanical energy even if the momentum is zero.