State the law of conservation of momentum. Write its mathematical derivation.
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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)
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Conservation of momentum is a fundamental law of physics, which states that the total momentum of an isolated system is conserved.
In other words, the total momentum of a system of objects remains constant during any interaction, if no external force acts on the system.
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