Two identical spheres are each attached to silk threads of length l= 0.500 m and hung from a common point. each sphere has mass m= 8.00 g. the radius of each sphere is very small compared to the distance between the spheres, so they may be treated as point charges. one sphere is given positive charge q1, and the other a different positive charge q2 ( q2 < q1 ); this causes the spheres to separate so that when the spheres are in equilibrium, each thread makes an angle θ= 20.0 degrees with the vertical.
a small wire is now connected between the spheres, allowing charge to be transferred from one sphere to the other until the two spheres have equal charges; the wire is then removed. each thread now makes an angle of 30.0 degrees with the vertical. determine the original charges q1 and q2. (hint: the total charge on the pair of spheres is conserved.) q1= coulombs, q2 = coulombs
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