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## Homework Statement

A thin, spherical, conducting shell of radius R is mounted on an isolating support and charged to a potential of [tex]-V[/tex]. An electron is then fired from point [tex]P[/tex] at a distance [tex]r[/tex] from the center of the shell. [tex](r>>R)[/tex] with an initial speed [tex]v_0[/tex] and directly towards the shell's center. What value of [tex]v_0[/tex] is needed for the electron to just reach the shell before reversing direction?

## Homework Equations

[tex]\Delta u = \frac{1}{2}mv_0^2[/tex]

## The Attempt at a Solution

[tex]v_0=\sqrt{\frac{2 \Delta u}{m}}[/tex]

Im not sure if this is what I should do, if so, how can I get something for [tex]\Delta u[/tex]