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In my physics class, my teacher has been referring to Potential Energy in a 1D force field as the negative integral of the force with respect to position.

AKA:

[itex]U(x)=-\int{F(x)dx}[/itex]

where U is the potential energy at x and F is the force at x.

Can someone please explain this to me in conceptual terms?

AKA:

[itex]U(x)=-\int{F(x)dx}[/itex]

where U is the potential energy at x and F is the force at x.

Can someone please explain this to me in conceptual terms?

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