Question

can any object have mechanical energyveven if its momentum is zero?​

Answer 1

yes

Momentum is the product of mass and velocity of a body, for a body mass never be zero but velocity can be zero if a body is at rest, So if a body is at rest its momentum is zero but if it is in rest at a height it possesses gravitational potential energy hence mechanical energy.

Answer 2

yes...............

mmechanical energy = eK + eP

= if its momentum is zero

eK = 0 but eP can be greater than 0