You have a summer job in the Exploratorium in San Francisco. Your team has been tasked to make an exhibit where a small charged pith ball is levitated above a large charged plate. Your boss requests for the small levitated object to oscillate when slightly displaced from its equilibrium position(in horizontal direction). One of your teammates suggests cutting out a small circular opening in the plate and suspending the small charged pith ball somewhere vertically above the center of the opening. After sufficient testing, you know that the plate could be roughly uniformly charged with 2.5 ?C/m2. You measure 9.6 cm for the diameter of the circular opening and 0.20 grams for the mass of the pith ball. It is desired that the pith ball is levitated at about 5 cm above the plate. Find the charge on the pith ball. A pith ball is a small sphere coated with a conductive paint.
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