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AP Physics C: Mechanics
3.4 Conservation of Energy
3.3 Potential Energy
3.1 Translational Kinetic Energy
AdvancedMCQMathematicalConceptual25.7k
A Cartesian graph with a horizontal axis labeled x (m) extending from 0 to 8 with integer tick marks at 1, 2, 3, 4, 5, 6, 7, 8, and a vertical axis labeled U (J) extending from -6 to 4 with tick marks at -6, -4, -2, 0, 2, 4. Light gridlines align with each tick mark. A horizontal dashed line is drawn across the graph at U = -2, labeled E = -2.0 J at the right edge. A single smooth, solid curve representing U(x) enters from the top near x = 0.5, decreases steeply, crosses U = 0 at x = 1.0, intersects the dashed line at x = 1.5, reaches a local minimum at (2.0, -6), rises and intersects the dashed line at x = 3.5, reaches a local maximum at (5.0, -1), decreases and intersects the dashed line at x = 6.5, and then flattens asymptotically toward U = -4 as x approaches 8. No other labels, lines, text, or axes appear.
Potential energy U(x) versus position x with total mechanical energy E.
A particle of mass \(m = 0.20 \text{ kg}\) moves along the \(x\)-axis subject only to a conservative force with the potential energy function \(U(x)\) shown in the graph. The horizontal dashed line represents a constant total mechanical energy of \(E = -2.0 \text{ J}\). Which of the following statements correctly characterizes the motion and dynamical properties of the particle?

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