Question

Two identical small insulating balls are suspended by separate 0.291m threads that are attached to a common point on the ceiling. Each ball has a mass of 7.90×10-4kg. Initially the balls are uncharged and hang straight down. They are then given identical positive charges and, as a result, spread apart with an angle of 35.0o between the threads. Determine the charge on each ball.

This is my third time posting this question :(

Answer #1

r = distance between the two balls = 2 BC = 2 (0.291) Sin17.5 = 0.175 m

q = charge on each ball

m = mass of the ball = 7.9 x 10^{-4} kg

T = tension force in the string

using equilibrium of force in vertical direction

T Cos17.5 = mg

T = mg/Cos17.5 eq-1

using equilibrium of force in horizontal direction

T sin17.5 = F

T Sin17.5 = k q^{2}/r^{2}

using eq-1

(mg/Cos17.5) Sin17.5 = k q^{2}/r^{2}

mg tan17.5 = k q^{2}/r^{2}

(7.9 x 10^{-4}) (9.8) tan17.5 = (9 x 10^{9})
q^{2}/(0.175)^{2}

q = 9.11 x 10^{-8} C

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