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Charged pendulum in an Electric Field

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A small 6.3g plastic ball is suspended by a 28cm long string in a uniform electric field of 4400N/C in the +x direction. If the ball is in equilibrium when the string makes a 25.9 angle with the vertical, what is the net charge on the ball?

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This a typical problem that students might see in a quiz or test. I have provided detailed step by step solution along with a clear diagram that specifies all the forces on the ball. Please download this solution with confidence.

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Assume that the tension on the rope is T.
Since the ball is at equilibrium, the net force on the ball is zero.
Hence, the net vertical force = 0 and the net horizontal force = 0
Vertical ...

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