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Starting from Newton’s Third Law F₁₂ = -F₂₁ derive the Law of Conservation of Momentum for an elastic collision.

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From Newton’s Third Law, the Law of Conservation of Momentum for an elastic collision is derived as m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂.

Newton's third law

This law states that action and reaction are equal and opposite. That is the force applied to an object is equal to the reaction received by the object.

F₁₂ = -F₂₁

m₁a₁ = -m₂a₂

m₁v₁/t = -m₂v₂/t

m₁v₁ = -m₂v₂

m₁v₁ + m₂v₂ = 0

For an elastic collision involving two objects

The sum of the initial momentum must be equal to sum of final momentum.

  • let initial velocity = u
  • let final velocity = v

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

Thus, from Newton’s Third Law, the Law of Conservation of Momentum for an elastic collision is derived as m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂.

Learn more about conservation of linear momentum here: https://brainly.com/question/7538238

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