Two identical, small insulating balls are suspended by separate 0.31-m threads t

Question

Two identical, small insulating balls are suspended by separate 0.31-m threads that are attached to a common point on the ceiling. Each ball has a mass of 6.6

Two identical, small insulating balls are suspended by separate 0.31-m threads that are attached to a common point on the ceiling. Each ball has a mass of 6.6 x 10^-4 kg. Initially the balls are uncharged and hang straight down. They are then given identical positive charges and, as a result, spread apart with an angle of 38 degree between the threads. Determine (a) the charge on each ball and (b) the tension in the threads. (a) Units(C) (b) Units(N)

Explanation / Answer

distance d = 2r = 2*L*sin 19 = 2*0.31*sin19 = 0.202 m

Fe = k*q^2/d^2

Fg = m*g

along verticla Fg = T*cos19

along horizantal Fe = T*sin19

tan19 = Fe/Fg = k*q^2/d^2*m*g

q^2 = tan19*d^2*m*g / k

q = 1.002*10^-7 C

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b)

Fg = T*cos25

T = 6.84*10^-3 N

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