Where did I go wrong in deriving potential energy?

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Discussion Overview

The discussion revolves around the derivation of potential energy, specifically in the context of elastic or flexible energy. Participants explore the application of Hooke's law and the relationship between work done by a spring force and potential energy.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant expresses confusion regarding a negative sign in their derivation of flexible energy, questioning their application of Hooke's law.
  • Another participant states that potential energy is typically defined as the negative of the work done by a force when moving an object between two points.
  • A later reply clarifies that the term "flexible energy" likely refers to "elastic energy," which is identified as a form of potential energy.
  • It is mentioned that the work done by the elastic force can be expressed as the difference in potential energy between two points, specifically as -(U2-U1).

Areas of Agreement / Disagreement

Participants have not reached a consensus on the correct derivation or terminology, and multiple interpretations of the relationship between work and potential energy are present.

Contextual Notes

There are potential limitations in the definitions used and the assumptions regarding the application of Hooke's law that have not been fully addressed.

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Hello, i am trying to derive flexible energy, but i get a negative sign in front of a Work (A). Where did i miss?
F is force of a spring. I don't know if i used Hooke's law correctly...

screenshot.png


Thank you for looking.
 
Last edited:
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rcgldr said:
Nomrally, potential energy is the negative of the work performed by some force in moving some object from one point to another.

http://en.wikipedia.org/wiki/Potential_energy


I am sorry i miss write... it is about flexible energy :)
 
I think you mean "elastic energy". And the elastic energy is a form of potential energy.
What you calculate is the work done by the elastic force between the points 1 and 2. This is equal to -(U2-U1).
 

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