Newtonian mechanics covers the discussion of the movement of classical bodies under the influence of forces by making use of Newton’s three laws. For more general discussion of energy, momentum conservation etc., use classical-mechanics, for Newton’s description of gravity, use newtonian-gravity.

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Why does a conservative force return the work done against it by a body to that body?

Let a body move and a conservative force oppose its motion. Therefore, by Newton's third law of motion, the body will also exert reactive force on the conservative force which eventually will cause ...