Two identical spheres,each of mass 1 , g,carr | vedclass

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(A) Given: Mass $m = 1 \, g = 10^{-3} \, kg$,Charge $q = 10^{-9} \, C$,Distance $x = 0.3 \, cm = 3 	imes 10^{-3} \, m$,$g \approx 10 \, m/s^2$.Electr

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$	an^{-1}(0.1)$

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(A) Given: Mass $m = 1 \, g = 10^{-3} \, kg$,Charge $q = 10^{-9} \, C$,Distance $x = 0.3 \, cm = 3 	imes 10^{-3} \, m$,$g \approx 10 \, m/s^2$.Electrostatic force $F_e = \frac{k q^2}{x^2} = \frac{9 	imes 10^9 	imes (10^{-9})^2}{(3 	imes 10^{-3})^2} = \frac{9 	imes 10^{-9}}{9 	imes 10^{-6}} = 10^{-3} \, N$.Gravitational force $mg = 10^{-3} 	imes 10 = 10^{-2} \, N$.For equilibrium,$	an 	heta = \frac{F_e}{mg} = \frac{10^{-3}}{10^{-2}} = 0.1$.Therefore,$	heta = 	an^{-1}(0.1)$.

Two identical spheres,each of mass $1 \, g$,carry an identical charge of $10^{-9} \, C$. They are suspended by strings of equal length. If the distance between the centers of the spheres is $0.3 \, cm$,what is the angle made by the string with the vertical?

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