Is it possible that the net kinetic energy for two object be non- zero while the net momentum is zero? explain

Yes, it is possible for the net kinetic energy of two objects to be non-zero while the net momentum is zero. This can occur if the two objects have equal but opposite velocities.

For example, consider two equal mass objects moving towards each other with the same speed. When they collide, the momentum of the system is zero as the momentum of one object is equal and opposite to the momentum of the other object. However, during the collision, the kinetic energy is transferred from one object to the other which results in a non-zero net kinetic energy for the system.

Therefore, it is possible for the net kinetic energy to be non-zero while the net momentum is zero for a system of two objects moving with equal and opposite velocities.