Momentum = mass × velocity
A body can only possess velocity if it has kinetic energy and if does not have that energy than velocity = 0, using this value in the above-mentioned formula Momentum = mass x 0 Momentum = 0 So, a body cannot have momentum without having energy. Sometimes even if a body has energy, its momentum can be zero. For example, a brick lying on the roof of a building possesses potential energy but no velocity so momentum will be zero.