Question

derive this statement of principle of conservation of linear momentum from Newton's Law of Motion ​

Answer 1

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Momentum is the motion contained in a body. Quantity of motion possessed by a body depends upon both of its mass and velocity. So the product of mass and velocity is the measure of the momentum.

• p = mv

It is also called linear momentum. It is a vector quantity whose direction is in the direction of the velocity. Its unit is kg m/s is SI-units and dimension, [M L T-1].

When there is change in the momentum of a given body, there is change in its velocity, i.e. there is acceleration.

According to Newton's first law of motion, the change in motion is produced by external force.

So there is a relation between the change in momentum and the force.

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