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Explain Law of Conservation of Linear Momentum by using Newton's third law.
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There are two principles at work here:Newton's Third Law of Motion and theconservation of momentum. Newton's Third Law states that for every action, there is an equal and opposite reaction. If you push against a wall, the wall pushes back against you with the same amount of force.
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Imagine two bodies interacting with each other and forming an isolated system. The change in momentum of one body is the time integral of the force on it. By the third law, the forces are equal and opposite so the two time integrals and the changes in momenta have the same magnitude but opposite signs. That is the sum of the changes in momenta is zero.
It is easy to generalize the above derivation to any number of particles or bodies. I.e., given the second law, Newton’s third law implies conservation of momentum.
It is easy to generalize the above derivation to any number of particles or bodies. I.e., given the second law, Newton’s third law implies conservation of momentum.
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