AP Physics C: Mechanics
3.3 Potential Energy
The potential energy \(U\) of a particle interacting in a conservative field is given by \(U(x) = \alpha x^{-n}\), where \(x > 0\) is the position of the particle, and \(\alpha\) and \(n\) are unknown positive constants. A student measures \(U\) at several positions \(x\) to experimentally determine both \(n\) and \(\alpha\). Which of the following graphs should the student plot to yield a linear relationship, and how are the parameters \(n\) and \(\alpha\) determined from the line?
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