Conservation Of Linear Momentum For System Of Particles

If external force is not acting on the system of particles, then

Conservation Of Linear Momentum For System Of Particles
Conservation Of Linear Momentum For System Of Particles

Therefore, the rate of change of momentum is zero i.e momentum of system remains constant.

Conservation Of Linear Momentum For System Of Particles
Conservation Of Linear Momentum For System Of Particles

The above expression represents the law of conservation of linear momentum for system of particles.

If mass of the system is constant, then

Conservation Of Linear Momentum For System Of Particles
Conservation Of Linear Momentum For System Of Particles

So, if net external force on the system is zero, then the velocity of centre of mass of the system will remain constant.

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