If the total mechanicla energy of a particle is zero is its linear momentum necessarily zero? Is it necessarily nonzero?

STATEMENT-1 : Two bodies of mass M and 2M released from rest and they move towards each other due to their mutual gravitational force of attraction and collide at mid point. STATEMENT-2 : If the total mechanical energy of a body is zero than its linear momentum is necessarily non zero at any point other than reference point. STATEMENT-3 : The linear momentum of the bob of a simple pendulum suspended by the roof of a car accelerating on a horizontal road increases due to tension in the string of the pendulum.

The final volume of a system is equal to the initial volume in a certain process. Is the work done by the system necessarily zero? Is it necessarily nonzero?

If the instantaneous velocity of a particle is zero, will its instantaneous acceleration be necessarily zero

Show that if the force acting on a particle is zero , its momentum will remain unchanged.

The energy of a photn is, equal to 3 kilo eV. Calculate its linear momentum ?

The orbital with zero orbital angular momentum is.