- #1
Mr Davis 97
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Imagine that I am pushing on a wall. Then my textbook says that by Newton's third law, ##F_{AB} = F_{BA}##, where I am B and the wall is A. Isn't this wrong? Shouldn't it be that ##F_{AB} = -F_{BA}##?
Sure, if they are using ##F## to represent the forces as vectors. Perhaps they were just talking about the magnitudes of the forces, which are equal.Mr Davis 97 said:Shouldn't it be that ##F_{AB} = -F_{BA}##?
Ah, I see. I guess it can get kind of ambiguous.Doc Al said:Sure, if they are using ##F## to represent the forces as vectors. Perhaps they were just talking about the magnitudes of the forces, which are equal.
If there is a diagram showing the opposite arrows, they are often meant to indicate the convention for positive direction of each force individually. So the later math doesn't use vectors in one coordinate system, but factors for the indicated unit vectors. A negative result then indicates that the force is opposite to its arrow in the diagram.Mr Davis 97 said:Ah, I see. I guess it can get kind of ambiguous.
Newton's Third Law, also known as the Law of Action and Reaction, states that for every action, there is an equal and opposite reaction. This means that when a force is applied to an object, the object will exert an equal force in the opposite direction.
The sign of a force refers to its direction, either positive or negative. According to Newton's Third Law, if a force is applied in one direction, there will be an equal force applied in the opposite direction. This means that the sign of the force will be opposite to the sign of the reaction force.
Yes, the sign of a force can be negative. This means that the force is acting in the opposite direction to its reference point. For example, if a force is acting to the left, its sign will be negative.
Newton's Third Law can be observed in many everyday situations. For example, when you walk, your foot exerts a force on the ground, and the ground exerts an equal and opposite force on your foot, allowing you to move forward.
Yes, Newton's Third Law applies to all forces, whether they are contact forces (such as pushing or pulling) or non-contact forces (such as gravity or magnetism). In all cases, there will be an equal and opposite reaction force.