Newton's Third Law doesn't make sense

In summary: In your example, the person and the box are two different bodies, so the person is not pushing on the box, but on the ground. The box is then pushing on the ground, but in the opposite direction. The ground is pushing on the box, but in the same direction. For every action, there is an equal and opposite reaction. The net force on the box is then zero. The net force on the person is also zero, because the force he applies on the ground is balanced by the force the ground applies on him.In summary, Newton's third law states that for every action, there is an equal and opposite reaction. This may seem confusing because it suggests that all forces would cancel out and nothing would ever happen. However
  • #1
Deep_Thinker97
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Newton's third law states that for every action, there is an equal and opposite reaction. This doesn't make sense to me, because it seems as though everything would cancel out and so nothing would ever happen.
For example, imagine a person attempting to push a large box; not just a quick push, but constantly pushing it so that the box eventually moves along the floor whilst the person remains in contact and continues to apply the same force. Imagine this person applies 10N to the box. According to the 3rd law, the box will apply 10N back onto the person. This is what doesn't make sense, since the box and the person are applying equal forces upon each other, both of them would not move anywhere, even if it is a relatively light box and friction is negligible. A good analogy would be arm wrestling: if person A applies a force to the left and person B applies an equal force to the right, both their hands would remain in the middle and no one would win. But clearly this is not a problem in everyday experiences - things are able to move if a large enough force is applied. I can easily drag a suitcase along the floor despite it applying the same force in the opposite direction. But my question is, how? If all interacting objects are applying equal and opposite forces to each other, how is anything able to move? To be more specific, how are any two objects able to move together despite them applying opposite forces to each other? Surely there needs to be a resultant force? This is driving me crazy!
 
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  • #4
I can totally agree with you. A lot of things that you are told to just accept in Physics, are purely maddening if you sit and dwell on them for too long!

In the case of Newton's Third Law, equal and opposite forces SOUND like they would just cancel each other out...but that is not the case because those forces are not the ONLY forces in action. So in the case of your own example, arm wrestling:

orlds+never-ending+arm+wrestling+match.+vageta+vs+goku....stalemate.....for+years_89fd89_4361032.png


Person A goes the gym every day. Person B plays too much League of Legends and doesn't lift much more on a daily basis then a can of soda. They decide to arm wrestle, because Person A wants to prove that his 21inch biceps serve a purpose. Clearly, Person A is going to win. Why? Because his Muscles are able to overcome MUCH more Force than Person A's can. So despite the fact that he is experiencing the same amount of Force back on his hand/arm that he is dishing out on his opponent, that Force is not enough that his Muscles cannot 'absorb' it.

A better to way to think about it, is that the reaction force NEVER acts on the same object as the force that causes the reaction. The initial Action, and the opposing Reaction occur on two different objects. In the case of the arm wrestling match, you would draw two separate diagrams with separate (but related) forces. The Force that you would label 'Muscles' would be different for each Person depending on their fitness level, which would then result in a force imbalance, thus causing acceleration.

Hopefully this helps a tad. :)
 
  • #5
Deep_Thinker97 said:
Newton's third law states that for every action, there is an equal and opposite reaction. This doesn't make sense to me, because it seems as though everything would cancel out and so nothing would ever happen.
For example, imagine a person attempting to push a large box; not just a quick push, but constantly pushing it so that the box eventually moves along the floor whilst the person remains in contact and continues to apply the same force. Imagine this person applies 10N to the box. According to the 3rd law, the box will apply 10N back onto the person. This is what doesn't make sense, since the box and the person are applying equal forces upon each other, both of them would not move anywhere, even if it is a relatively light box and friction is negligible. A good analogy would be arm wrestling: if person A applies a force to the left and person B applies an equal force to the right, both their hands would remain in the middle and no one would win. But clearly this is not a problem in everyday experiences - things are able to move if a large enough force is applied. I can easily drag a suitcase along the floor despite it applying the same force in the opposite direction. But my question is, how? If all interacting objects are applying equal and opposite forces to each other, how is anything able to move? To be more specific, how are any two objects able to move together despite them applying opposite forces to each other? Surely there needs to be a resultant force? This is driving me crazy!

Hi,

There is one force more you have to take into account in your problem, this is the force done against the ground by the person. This force revents into both the person and the box. The net force on the person is the one given by the force against the floor minus the 10N "spent" pushing the box as well as friction forces.


Sergio
 
  • #6
Deep_Thinker97 said:
Newton's third law states that for every action, there is an equal and opposite reaction.

You missed an important point: action and reaction act on different bodies.
 

Related to Newton's Third Law doesn't make sense

1. How can two forces be equal and opposite?

According to Newton's Third Law, for every action, there is an equal and opposite reaction. This means that the force exerted by one object on another is always met with an equal but opposite force exerted by the second object. This does not necessarily mean that the forces are physically equal in magnitude, but rather that they are equal in terms of strength and direction.

2. Why don't objects cancel out each other's forces?

Although the forces may be equal in strength, they are acting on different objects and therefore cannot cancel each other out. This is because forces are vectors, meaning they have both magnitude and direction. So even if two objects are exerting equal and opposite forces on each other, they are still acting in different directions and thus cannot cancel out.

3. How does an object in motion experience a reaction force if the forces are equal and opposite?

The reaction force does not cause the object to move, but rather it is a result of the object's own motion. For example, when you push against a wall, the wall exerts an equal and opposite force on you, but it is your own muscles and body that are causing the motion and therefore the reaction force.

4. How can an object accelerate if the forces are balanced?

Just because the forces are balanced does not mean there is no acceleration. According to Newton's Second Law, an object will only accelerate if there is an unbalanced force acting on it. In the case of equal and opposite forces, the net force is still zero, but there is still a change in velocity and therefore acceleration.

5. Can Newton's Third Law be applied to all situations?

Newton's Third Law is a fundamental principle of physics and can be applied to almost all situations where there are interacting objects. However, it may not always be accurate in extreme cases, such as at the atomic or subatomic level, where other forces such as quantum forces come into play.

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