Question

Problem 19.86 9 of 10> Review Two small plastic balls hang from threads of negligible mass. Each ball has a mass of 0.230 g and a charge of magnitude q. The balls are attracted to each other, and the threads attached to the balls make an angle of 20.0 with the vertical, as shown in the figure.(Figure 1) Part A Find the magnitude of the electric force acting on each ball. Figure 1 of 1 Submit t An Part B Find the tension in each of the threads. 20 20.0°i 2.05 cm

Answer 1

A)

X-component,

F = T sin20 ....... (1)

Y-component,

T cos 20 = mg ......... (2)

From (1) and (2) we get

F = mg tan20 = (0.23 x 10^-3 x 9.8) x tan20

F = 0.00082 N

B)

Tension, T = mg/cos20 = (0.00023 x 9.8)/cos20 = 0.0024 N

C)

Charge, q = d sqrt(mg tan(theta) /k)

q = (0.0205) sqrt (0.00023 x 9.8 x tan20/9 x 10^9)

Charge, q = 6.19 nC

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