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.

Due to the action of internal forces of the system, the total linear momentum of the system is

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.

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

If net external force acting on the system is zero then

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 ?