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Q & A: Newton's third law

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Q:
What is the concept of action and reaction forces?
- Amy
Conotton Valley, OH
A:
Say that one object (A) exerts a force on another object (B). Then ALWAYS B will exert a force of the same strength on A, but pointing the opposite way. If you want to call these forces action and reaction, it doesn’t matter at all which one you call action and which one you call reaction.

So if A starts to accelerate East, then B will accelerate West, assuming nothing else is exerting forces on them. When the two objects have similar masses, the accelerations are comparable and easily noticeable. If one object is small (say a tennis ball) and the other big (say the Earth), then the force will make the small object accelerate lots more than the big object. When that happens, it looks like only one object is feeling the force, but if you could measure carefully you’d see that actually the force still goes both ways.

Sometimes people get confused about all this when one of the objects is a person. Then it’s tempting to think of the person as somehow different from the other object- say a basketball. They are different, of course, but this law (called Newton’s third law of motion) applies equally to both of them.

Mike W.

(published on 10/22/2007)

Follow-Up #1: equal and opposite reaction

Q:
If every force has an equal and opposite reaction, how can anything move? Wouldn't the reaction force cancel out the applied force since they are equal in magnitude and opposite in sign? To answer this question, I'm guessing that the reaction force comes AFTER the applied force; hence, an object stops accelerating after the applied force has been removed. Am I correct to think of it like this, or is there another explanation to my question?
- Jonathan (age 23)
Tavares, Florida
A:
Similar questions have come in before, so I've marked this as a follow-up. The issue is so important and so often misunderstood that it's worth revisiting.

Those two forces are NOT both acting on the same object. One force acts on one object. The equal and opposite force acts on the other object.

Once you get used to this universal fact, you actual may stop thinking of them as two forces but rather start to think that a force between two objects simply means that they're trading momentum. Newton is just saying that the total momentum doesn't change. Whatever one object loses, the other gains.

What if there were only one object? Then your picture would follow. The object can't exert a net force on itself, so it won't start accelerating.  that's sometimes called the principle of inertia (Newton's First Law), and you can see how it's really just a special case of conservation of momentum (Newton's Third Law).

Mike W.

(published on 06/25/11)

Follow-up on this answer.