Tension is resolved into two components
one component is in vertical direction T*cos(theta)
one component is in Horizontal direction T*sin(theta)
T*cos(theta) = m*g.................(1)
T*sin(theta) = electrostatic force = k*q*q/d^2.....(2)
d is the distance between charges
sin(theta) = (d/2)/1= d/2 = tan(theta)
since theta is small ,then tan(theta) = sin(theta) = theta
(2)/(1) = tan(theta) = (k*q^2/d^2) / (m*g)
d/2 = ((9*10^9*100^2*10^-18)/d^2) / (5*10^-3*9.8)
d = 0.154 m = 15.4 cm
then theta = sin^(-1)(d/2) = sin^(-1)(0.154/2) = 4.42 degrees
Two 5.0 g point charges on 1.0-m-long threads repel each other after being charged to +100...
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