Statement-1 : Total linear momentum of system in centre of mass frame is zero only when there is no net external force.
Statement-2 : Total linear momentum of system is conserved in absence of net external force.

Show that total linear momentum is conserved in all collisions.

Show that the total linear momentum of a system of particles is conserved in the absence of any external force. Also show that total linear momentum of the system is equal to the product of the total mass of the system and the velocity of its centre of mass.

If net external force acting on the system is zero then

Statement -1: If kinetic energy of a system is zero then linear momentum of each of particle of the system must be zero. Statement-2: If linear momentum of a system is zero then kinetic energy of system must be zero. Statement-3: If linear momentum of a particle is zero then kinetic energy is zero. Select the correct sequence.

Will the momentum remain conserved if some external force acts on the system ?

Assertion: To conserve linear momentum of a system, no force should act on the system. Reason: If net force on a system is zero, its linear momentum should remain constant.

Statement -1 : When a girl jumbs from a boat, the boat slightly moves away from the shore. and Statement-2 : The total linear momentum of an isolated system remain conserved.