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## Homework Statement

A proton moves along the x-axis, where an arrangement of source charges has created the electric potential V=6000x^2, where V is in volts and x is in meters.

(a) Graph the potential between x = -5.0 and x = +5.0.

(c) By exploiting the analogy with the potential energy of a mass on a spring, determine the "effective spring constant" of the electric potential.

(d) What is the proton's oscillation frequency (in Hz)?

## Homework Equations

U=qV

[tex]U=\frac{1}{2}kx^2[/tex]

## The Attempt at a Solution

(a) The potential is just a parabola

(c) [tex]

U=\frac{1}{2}kx^2=qV=6000qx^2[/tex]

[tex]k=2 \times 6000q[/tex]

(d) I can't even grasp what this means. Does the proton oscillate? The voltage only goes to zero once.