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AP Physics 2
10.5 Electric Potential
10.4 Electric Potential Energy
AdvancedMCQMathematical17.9k
A plot of electric potential V on the vertical axis versus position x on the horizontal axis. A upward-opening parabola centered at the origin (0,0) represents the electric potential curve V(x) = alpha * x^2. Directly below the origin, a horizontal line represents the x-axis track, on which a small spherical bead labeled with mass m and charge +q rests at a displaced position x_0. No other labels, lines, text, or axes appear.
Electric potential curve V(x) along the horizontal track.
A small bead of mass \(m\) and positive charge \(q\) is constrained to move along a frictionless, nonconducting horizontal track aligned with the \(x\)-axis. An arrangement of fixed external charges produces an electric potential along the axis given by the function \(V(x) = \alpha x^2\), where \(\alpha\) is a positive constant and \(V = 0\) at \(x = 0\). The bead is released from rest at a small initial displacement \(x = x_0\). Which of the following expressions represents the period \(T\) of the resulting oscillation of the bead?

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