two identical smallinsulating balls are suspended by separate 0.25m threads that

Question

two identical smallinsulating balls are suspended by separate 0.25m threads that areattached to a common point on the ceiling. Each ball has amass of 8.0 x 10^-4 kg. Initially the balls are uncharged and hangstraight down. They are then given identical positive charges and,as a result, spread apart with an angle of 36 degrees between thethreads. Dtermine (a) the charge on each ball and (b)the tension in the thread.

Explanation / Answer

From fig we can write                  F - Tsin = 0 and Tcos = mg ==> T = mg / cos             Therefore F = mgtan = 8 x 10-4 * 9.8 * tan36= 56.96 x 10-4 N The force acting between two identical charges is                      F = kq2 / r2            =>q = r F/k                    = 0.25 * 56.96 x 10-4 / 9 x109    = 0.1988C Tension in the tread                  T = mg / cos = 96.90 x 10-4 N

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