A small positively charged plastic ball of mass m and charge q is suspended by a massless string of length L in a uniform electrical field E as shown in the attached image. The ball is in equilibrium when the string makes an angle of θ with the vertical. Note that the ball is under the influence of both the electric field E and the earth's gravitational force g.
a. Write an equation for the horizontal electrical force acting on the ball in terms of the relevant variables provided above
b. Write an equation for the tension T in the string, using any or all of the relevant variables provided above and/or any relevant constants (g, G, k). Include a sentence explaining the reasoning behind your equation (there are two possible ways to set up this equation).
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