2. Show that law of conservation of linear
momentum is a corollary of Newton's third
law of motion.
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The rate of change of the total momentum of a system of particles is equal to the sum of the external forces on the system. But, by Newton's third law of motion, Fji+Fij=0, so the theorem is proved. Corollary: If the sum of the external forces on a system is zero, the linear momentum is constant.
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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. ... In other words, the momentum of an isolated system will always remain the same.
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