Potential Energy Principle

  • Thread starter phy301114
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  • #1
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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
 

Answers and Replies

  • #2
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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?
 
  • #3
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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?
 
  • #4
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How did you define potential energy (and force) in your course?
 
  • #5
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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
 
  • #6
35,248
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Usually U is defined that way. You cannot "prove" a definition.
 

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