Two small plastic balls hang from threads of negligible mass. Each ball has a ma

Question

Two small plastic balls hang from threads of negligible mass. Each ball has a mass of 0.100g and a charge of magnitude q. The balls are attracted to each other, and the threads attached to the balls make an angle of 20.0 ^circ with the vertical, as shown in the figure.

a) Find the magnitude of the electric force acting on each ball.
b) Find the magnitude of the charge on the balls.

---** --> distance between two charges = 2.05cm

Explanation / Answer

A. Fe = Fg = mgtanT = 0.0001*9.81*tan(20 d) =3.5705E-04 N C. From the link, r = 0.0205 m Fe = kq^2/r^2 mgtanT = kq^2/r^2 ==> q = sqrt(mgtanT*r^2/k) = sqrt(3.5705E-4 N*0.0205^2/8.98755E9) = 1.66*10^-17 C

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