Show that, in Figure 7.26, the change in potential energy along a round trip from position \(x_{1}\) to position \(x_{2}\) and then back to \(x_{1}\) is zero.

Figure 7.26

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(a) Cart moves directly from x, to x, v x1 x2 path A (b) Cart moves from x, to x, via x3 v L XX2 X3 path B x