State and prove law of conservation of linear momentum

Dear student,

Law of conservation of momentum is more basic than third law of motion. However here we derive the law of conservation of momentum from the third law of motion.

Let us suppose a body of mass m₁ travelling with velocity u₁ collides with another body of mass m₂ and travelling with velocity u_2. After collision let the first body changes its velocity to v₁ and the second body to v_2.

Since there is change in velocity of the either bodies there must be change in momentum and force experienced by both of them due to each other.

Regards