Answer to Question #179517 in Physics for Louis

Question #179517

Two identical metallic spheres are suspended as bobs of a simple pendulum as shown in the figure. The spheres come to equilibrium when a charge of +7.5×10^–9 C, with each string making an angle 5° with the vertical. The string is 0.5 m long. Find the electric force between the spheres.


1
Expert's answer
2021-04-12T06:57:16-0400


The key thing here is to find distance between the spheres:


D=2d=2Lsinθ.D=2d=2L\sin\theta.

Now find the electric force according to Coulomb's law:


F=kqqD2=kq24L2sin2θ=66.6106 N.F=k\frac{q·q}{D^2}=k\frac{q^2}{4L^2 \sin^2\theta}=66.6·10^{-6}\text{ N}.

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