Two small metallic spheres, each of mass 0.33 g are suspended as pendulums by light strings from a common point as shown.

Two small metallic spheres, each of mass 0.33 g are suspended as pendulums by light strings from a common point as shown. The spheres are given the same electric charge, and it is found that the two come to equilibrium when each string is at an angle of 4.6 ◦ with the vertical. If each string is 19.1 cm long, find the magnitude of the charge on each sphere. The Coulomb constant is 8.98755 × 109 N · m2 /C 2 and the acceleration of gravity is 9.81 m/s 2 . Answer in units of nC

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