Can any object have mechanical energy even if its momentum is zero? Explain.

(A) Yes,an object can have mechanical energy even if its momentum is zero.
Mechanical energy is the sum of kinetic energy $(KE)$ and potential energy $(PE)$.
Momentum $(p)$ is defined as the product of mass $(m)$ and velocity $(v)$,i.e.,$p = mv$.
If momentum is zero $(p = 0)$,then the velocity of the object must be zero $(v = 0)$.
Since kinetic energy is given by $KE = \frac{1}{2}mv^2$,if $v = 0$,then $KE = 0$.
However,the object can still possess potential energy due to its position or configuration (e.g.,a ball held at a height above the ground).
Therefore,the total mechanical energy $(ME = KE + PE)$ can be non-zero because $PE$ is non-zero.