Potential Energy of two small metal speheres

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Homework Statement



Two small metal spheres, A and B, of mass mA = 6.5 g and mB = 12.7 g have equal positive charges of 8 μC. The spheres are connected by a non-conducting string of negligible mass and with length d = 1.4 m, which is much greater than the radii of the spheres.

a) What is the electrical potential energy of the system?

b) Suppose you cut the string. At that instant, what is the acceleration of each sphere?

Homework Equations



Coulomb's Law

The Attempt at a Solution



I can't figure it out
 
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That's not an attempt. Surely you must have done something? Or do you at least have some idea of what concepts might be relevant, and how you might use them?
 
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The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
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