Two small plastic spheres with equal charge repel each other so that the threads

Question

Two small plastic spheres with equal charge repel each other so that the threads from which they hang form a right angle, as in the picture. If a = 25.0 cm, b = 35.0 cm, and the mass of the larger sphere is M = 10.0 grams, find the smaller mass and the charge on each sphere.

ngh Chapter 19: Electric Field.x Jarrod Williamson at Riv © Chegg Study | Guided Sol × y D Microsoft Word Physics X × websites.rcc.edu/cheney/files/2014/02/Physics-2B-Homework-4.pdf b = 35.0 cm, and the mass of the larger sphere is M = 10.0 grams, find the smaller mass and the charge on each sphere. ml 9 9:15

Explanation / Answer

k q^2/(a+b)^2 = T_1 sin(B1)

==> (9e9) * (q^2)/(0.25+0.35)^2 = T_1 (0.25/L)

M g = T_1 cos(B1)

==> (0.010) * (9.8) = T_1 (1 - (0.25/L)^2)^0.5

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k q^2/(a+b)^2 = T_2 sin(B2)

==> (9e9) * (q^2)/(0.25+0.35)^2 = T_2 (0.35/L)

m g = T_2 cos(B2)

==> m (9.8) = T_2 (1 - (0.35/L)^2)^0.5

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B1 + B2 = 90 degrees

==> cos(B1 + B2) = 0

==> cos(B1) cos(B2) - sin(B1) sin(B2) = 0

==> (1 - (0.25/L)^2)^0.5 (1 - (0.35/L)^2)^0.5 - (0.25/L) (0.35/L) = 0

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m = 0.00510 kg

q = 1.67 x 10^-6 C

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