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AP Physics C: E&M
9.3 Conservation of Electric Energy
9.2 Electric Potential
IntermediateMCQMathematicalConceptual25.6k
A Cartesian coordinate graph showing electric potential as a function of position. The horizontal axis is labeled x (m) with tick marks and numerical labels at integers 0, 1, 2, 3, 4, and 5. The vertical axis is labeled V (V_0) with tick marks and numerical labels at integers 0, 1, 2, 3, 4, and 5. A light gray rectangular grid aligns with all integer tick marks on both axes. A single solid black piecewise linear curve connects the following coordinates in order: (0, 5), (1, 3), (2, 2), (3, 4), (4, 0), and (5, 5). No other labels, lines, text, or axes appear.
Electric potential V as a function of position x.
A proton of mass \(m\) and charge \(+e\) is constrained to move along the \(x\)-axis in a region where the electric potential \(V(x)\) is shown in the graph. At position \(x = 1.0\text{ m}\), the proton has a kinetic energy of \(2.0e V_0\) and is traveling in the \(+x\)-direction. What is the maximum speed achieved by the proton during its subsequent motion?

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