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A set of four metal spheres, each with +10 nanocouloumbs of charge, are placed in a...

A set of four metal spheres, each with +10 nanocouloumbs of charge, are placed in a square configuration whose side is 1.0 centimeter. The spheres are 1.0 g each. The spheres are let go at the same time from rest and are allowed to move. What is the speed of each sphere when they are "infinitely" far apart?

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Answer #1

Charge on each sphere is

Length of each side of square is

Mass pf eacj sphere

Initially when all the four spheres are at the corners of a square, total energy of system of spheres is

Finally when the spheres are at infinite distance , total energy of the system of spheres is

Conserving the energy of the system of spheres,

Speed of each sphere when they are infinitely far apart is

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