Two small metallic spheres, each of mass 0.20 g, are suspended as pendulums by l

Question

Two small metallic spheres, each of mass 0.20 g, are suspended as pendulums by light strings from a common point as shown in the figure below. The spheres are given the same electric charge, and it is found that they come to equilibrium when each string is at an angle of 7.0

Two small metallic spheres, each of mass 0.20 g, are suspended as pendulums by light strings from a common point as shown in the figure below. The spheres are given the same electric charge, and it is found that they come to equilibrium when each string is at an angle of 7.0degree with the vertical. If each string is 30.0 cm long, what is the magnitude of the charge on each sphere? Your response differs from the correct answer by more than 10%. Double check your calculations. C

Explanation / Answer

On each sphere, F = kq^2/r^2 = mgsin(7),

here = r = lsin theta = 0.3 sin 7

where r = 2*30sin(7) and k = 9E9

q^2 = (mgsin(7deg)*(2*30sin(7deg))^2/9E9)

q = sqrt(0.0002*9.8 sin(7)*(2*0.3 sin(7))^2 / 9E9)

q = 1.39 *10^-8 C

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