Difference between F=kx and F=-kx

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SUMMARY

The discussion clarifies the difference between the equations F=kx and F=-kx in the context of spring mechanics. F=kx represents the force applied to the spring, while F=-kx indicates the force exerted by the spring in the opposite direction, adhering to Newton's Third Law of Motion. The positive direction of x is defined as to the right, meaning that when the spring is stretched to the right, the applied force is also to the right, while the spring's restoring force acts to the left. Understanding these distinctions is crucial for accurately solving problems involving spring dynamics.

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Homework Statement



I notice that when solving for k, the book often uses a positive version of the formula.

How do you know which to use?

Homework Equations



F=kx
F=-kx

The Attempt at a Solution

 
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Work done on the spring
F=kx positive

Work done by the spring
F=-kx negative

Remember Newton's Third Law of Motion. Re-read it if you have to.
 
Toranc3 said:
Work done on the spring
F=kx positive

Work done by the spring
F=-kx negative

Remember Newton's Third Law of Motion. Re-read it if you have to.

Nope. I don't think so. F means force.
So, F=kx is the force we act on the spring
F= -kx is the force acted by the spring.
Example
Assume the x positive direction is to the right...and we stretch the spring the right, that means our force is pointed to the right...

and the force of the spring is pointed to the left.
 
Last edited:
daivinhtran said:
Nope. I don't think so. F means force.
So, F=kx is the force we act on the spring
F= -kx is the force acted by the spring.
Example
Assume the x positive direction is to the right...and we stretch the spring the right, that means our force is pointed to the right...

and the force of the spring is pointed to the left.

Yeah your right. Once you integrate them then they are work. Sorry topic starter.
 

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