Understanding the Potential Energy Principle

[phy301114]

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

 

[mfb]

You can use that formula as definition for potential energy, then there is nothing to prove.

What is the exact problem statement?

 

[phy301114]

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?

 

[mfb]

How did you define potential energy (and force) in your course?

 

[phy301114]

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

 

[mfb]

Usually U is defined that way. You cannot "prove" a definition.