Can an object have momentum if its mechanical energy is 0?

Mechanical energy is the energy that is possessed by an object due to its motion or due to its position. Mechanical energy can be either kinetic energy (energy of motion) or potential energy (stored energy of position). read more

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. read more

If an object has a momentum it must have a kinetic energy but, mechanical energy is the sum of potential and kinetic energy. So if the datum (the level from which the height of an object is measured) is taken above the object (the choice of datum is on the observer) then the object can have negative potential energy equal in magnitude to kinetic so that their adition (mechanical Energy) is zero. read more