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A wall has a negative charge distribution producing a uniform horizontal electric field. A small plastic ball of mass 0.01kg, carrying a charge of -80.0uC is suspended by an uncharged, nonconducting thread of 0.30m long. The thread is attached to the wall and the ball hangs in equilibrium, as shown above, in the electric and gravitational fields. The electric force on the ball has a magnitude of 0.032 N

a) Draw and label the forces acting on the ball

I already know how to do this

b) Calculate the magnitude of the electric fields at the ball's location due to the charge wall.

I used E= F(electric)/q and got -400 N/C as the answer

c) Determind the perpendicular distance from the wall to the center of the ball.

I'm stuck at this one. I knew it has something to do with breaking things into component then find the angle between the thread and the wall. If I know the angle I can use trigonometry to solve for the distance. But ahh! I don't know how to find the angle.

d) The string is now cut:

a) Calculate the magnitude of the resulting acceleration of the ball, and state its direction.

I have no idea what to do with this one

b) Describe the resulting path of the ball.

Well, for this one I think it will fall down eventually but curve to the right.

Please help me with these question

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