Understanding Newton's Third Law and the Net Force on Objects

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Newton's third law states that for every action force, there is an equal and opposite reaction force acting on different bodies. This does not result in a net force of zero because the forces act on separate objects, allowing both objects to accelerate. The acceleration of an object depends solely on the forces acting on it, regardless of the forces it exerts on others. In a scenario with two objects in isolation, each will accelerate due to the force exerted by the other, demonstrating that motion is possible despite the equal and opposite forces. The interaction between the two objects will evolve over time, influencing their future behaviors.
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Newton's third law says that for every action force there's a simultaneous reaction force equal in magnitude to the action force, but in the opposite direction. So doesn't that make the net force zero? If that's true how does anything move?
 
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The third law says that the force exerted by object A on object B is equal but opposite to the force exerted by object B on object A. Note very well: Those equal but opposite forces act on different bodies. The acceleration undergone by object A depends only on the forces that act on object A. That object A is also exerting forces on other objects does not affect the acceleration of object A, at least not directly. The connection is indirect.

Suppose A and B are the only objects in an otherwise empty and very large region of space. Whatever other forces are acting on A and B from outside that large region of space is so small that it can be ignored. A will accelerate because B is exerting a force on A, and B will accelerate because A is exerting a force on B. The nature (magnitude and direction) of these forces will change over time, so what A does to B now will change what B does to A in the future.
 
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