Difference between F=kx and F=-kx

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Homework Help Overview

The discussion revolves around the understanding of the equations F=kx and F=-kx, particularly in the context of spring mechanics. Participants are exploring the implications of these formulas and their applications in different scenarios.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to differentiate between the forces represented by F=kx and F=-kx, questioning when to use each version of the formula. There is an exploration of the physical meaning behind the positive and negative signs in relation to work done on and by the spring.

Discussion Status

The discussion is ongoing, with participants providing insights into the definitions of the forces involved. Some guidance has been offered regarding the relationship between the two equations, but there is no explicit consensus on the interpretation of the formulas.

Contextual Notes

Participants are referencing Newton's Third Law of Motion and discussing the directionality of forces in relation to the positive x-axis. There is an acknowledgment of the need to integrate the forces to relate them to work, indicating a potential gap in understanding that is being addressed.

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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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