Question

State Law of conservation of momentum and derive its mathematical expression.

Answer 1

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The law of conservation of momentum states that for two objects colliding in an isolated system, the total momentum before and after the collision is equal.

Initial velocity = u1 Final velocity = v1 a1=(v1-u1)/t F1=m1(v1-v2)/t SECOND BODY a2=(v2-u2)/t F2=m2(v2-u2)/t F1=-F2 m1(v1-u1)/t= -m2(v2-u2)/t m1v1-m1u1=m2v2+m2u2 m1v1+m2v2=m1u1+m2u2 Total momentum after collision = Total momentum before collision

Answer 2

Answer:

Newton's third law states that for a force applied by an object A on object B, object B exerts back an equal force in magnitude, but opposite in direction. This idea was used by Newton to derive the law of conservation of momentum. ... B=m_{2}(v_{2}-u_{2}) (change in momentum of particle B)