Two spherical objects are separated by a distance of 3.60 x 10^-3m. The objects

Question

Two spherical objects are separated by a distance of 3.60 x 10^-3m. The objects are initially electrically neutral and are very small compared to the distance between them. Each object acquires the same negative charge due to the addition of electrons. As a result, each object experiences an electrostatic force that has a magnitude of 1.14 x 10 ^-21 N. How many electrons did it take to produce the charge on one of the objects?

__________ electrons

Explanation / Answer

let the charge acquired by each of the sphere be -q C. then k*-q*-q/r^2 = 1.14*10^-21 =>9*10^9*q^2/(3.6*10^-3)^2 = 1.14*10^-21 => q^2 = 1.6416*10^-36 => q = 1.28*10^-18C so, charge acquired = -q = -1.28*10^-18C charge on 1e- = -1.6*10^-19C so, number of e- acquired by each sphere = -1.28*10^-18/-1.6*10^-19 = 8 electrons

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