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AP Physics C: E&M
9.3 Conservation of Electric Energy
9.2 Electric Potential
IntermediateMCQMathematical13.6k
A horizontal line represents an insulating wire along an axis labeled x. A small solid circle representing a bead is positioned on the wire at a vertical tick mark labeled x = 0. A second vertical tick mark is located to the right on the wire and labeled x = 4.0 m. A horizontal dashed arrow points from the bead toward the right along the wire. A label above the wire reads V(x) = 125 - 5.0x^2. No other labels, lines, text, or axes appear.
Bead of charge q and mass m on an insulating wire.
A small bead of mass \(m = 0.050\text{ kg}\) and positive charge \(q = +0.020\text{ C}\) is constrained to slide without friction along a straight, horizontal insulating wire aligned with the \(x\)-axis. In this region, the electric potential as a function of position along the wire is given by \(V(x) = 125 - 5.0x^2\), where \(V\) is in volts and \(x\) is in meters. The bead is released from rest at \(x = 0\). What is the speed of the bead when it reaches \(x = 4.0\text{ m}\)?

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