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## Homework Statement

A single charge q1 = 1.10E-7 C is fixed at the base of a plane that makes an angle theta with the horizontal direction. A small ball of mass m = 1.75 g and a charge q2 = 3.30E-8 C is placed into a smooth frictionless groove in the plane that extends directly to the fixed charge (image attached.) It is allowed to move up and down until it finds a stable position d = 11.0 cm from the fixed charge. What is the value of theta (t)?

## Homework Equations

Fe = kq1q2/d^2

Fg = mg

## The Attempt at a Solution

Fe = (8.99E9)(1.1E-7)(3.3E-8)/(0.11^2) = 0.002697 N [up to the right]

Fg = (.00175)(9.8) = 0.01715 N [down]

(Fe)(sin(t)) = mg

(0.002697)(sin(t)) = 0.01715

sin(t) = 6.358917316

Since sin(t) has to be between -1 and 1 it is impossible to find t.

Any help detecting my problem would be greatly appreciated.