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In a calculus-based course, we can illustrate the relationshipWhat's so inelegant about the graphical approach? I think it's pretty
between force and potential energy using the concept of gradient. In
an algebra/trig-based course, we can't explicitly use calculus so
what's the best way to demonstrate the force/PE relationship? The
brute force graphical approach and simply stating that the slope of
the PE curve is indicative of the force? I was hoping for something
a bit more elegant.