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AP Physics C: Mechanics
3.3 Potential Energy
AdvancedMCQConceptual16.3k
A bare Cartesian coordinate system showing potential energy U on the vertical axis and position x on the horizontal axis. A single smooth, solid curve represents U(x). The curve crosses the horizontal axis at a point labeled x_0 with a steep negative slope, passing continuously from positive values of U for x less than x_0 to negative values of U for x greater than x_0. A solid dot marks the intersection point at (x_0, 0). The origin is labeled O. No other labels, gridlines, arrows, or text appear.
Graph of potential energy \(U\) versus position \(x\).
A particle constrained to move along the \(x\)-axis is subject to a single conservative force described by the potential energy function \(U(x)\). At position \(x = x_0\), the potential energy is zero (\(U(x_0) = 0\)), yet the particle experiences a non-zero instantaneous acceleration as it passes through this position. Which of the following statements provides the correct physical explanation for this observation?

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