Answer :

Given,


Mass,


Length of strings, l = 40cm = 0.4 m


Distance between spheres,


Let the magnitude of Tension be T. Let the electric force between the spheres be Fe. Let the magnitude of charge on each pitch ball be q.



By trigonometry,




At equilibrium, all forces must cancel out in accordance with newton’s first law. Hence,



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Formula used:


By Coulomb’s law, the electric force is given by:



Where ϵ0 is the permittivity of free space


q1 and q2 are the magnitude of charges


r is the distance of separation between the charges


(Here, )


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The magnitude of the electric force, Fe is given by:



From (2), we get,



From (3) and (1), we get






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