Understanding the Potential Energy Principle

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Homework Help Overview

The discussion revolves around the potential energy principle, specifically the relationship expressed by the equation -dU/dX = F(x), where U represents potential energy and F represents force. Participants are exploring the meaning and implications of this principle, as well as its derivation.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning how to prove the potential energy principle and what it fundamentally means. There is an inquiry into the exact problem statement and the definitions of potential energy and force as understood in different contexts. Some participants are seeking analogies and examples to better visualize the principle.

Discussion Status

The discussion is active, with participants providing insights into the definitions of potential energy and force. There is an acknowledgment that definitions cannot be proven, which has led to further exploration of the underlying concepts and their interpretations. Multiple perspectives on the derivation and understanding of the principle are being examined.

Contextual Notes

Some participants mention a lack of current coursework in physics, indicating that their inquiries stem from a general interest in understanding the principle rather than from a specific assignment or problem set.

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Homework Statement


how to prove the potential energy principle?

how do you make sense of the potential energy principle ie -dU/dX = F(x). What does the principle really mean?

Homework Equations


-dU/dX = F(x)
where U is the potential energy and F the force.

The Attempt at a Solution


Not sure where to even start
 
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You can use that formula as definition for potential energy, then there is nothing to prove.

What is the exact problem statement?
 
The problem statement is to derive dU/dX = - F(x) , where U is the potential energy and F the force.

Can give an analogy for the equation?
 
How did you define potential energy (and force) in your course?
 
mfb said:
How did you define potential energy (and force) in your course?

I am not taking any physics courses now. I asked the question for my general understanding as I came across that equation dU/dX = - F(x) somewhere. I'd like to know how it gets derived. And any examples you all can give to help visualise the principle. Thanks
 
Usually U is defined that way. You cannot "prove" a definition.
 

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