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An insulating elastic string is 20 cm long and obeys Hooke's Law with a spring constant...

An insulating elastic string is 20 cm long and obeys Hooke's Law with a spring constant of 1 N/m. It is connected to two small identical conducting spheres that carry positive charges of q1 and q2. The repulsion of the spheres causes the string to stretch to a length of 25 cm. A conducting wire is connected between the spheres and then removed. This equalizes the charge on the two spheres while conserving the total charge, and the string stretches by an additional 1 cm.

a) What is the initial and final repulsive force between the two spheres (i.e. before and after the wire is connected then removed)?

b) What are the initial and final charges in micro Columbs (uC) on each of the spheres?

c) What is the initial and final electric field at the point located 50 cm vertically above the midpoint of the elastic string? Give both the magnitudes and the angles with respect to the vertical.

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