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Two small plastic balls hang from threads of negligible

Chapter 19, Problem 94GP

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QUESTION:

Two small plastic balls hang from threads of negligible mass. Each ball has a mass of 0.14 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 \(20.0^{\circ}\) with the vertical, as shown in Figure 19–39. Find

(a) the magnitude of the electric force acting on each ball,

(b) the tension in each of the threads, and

(c) the magnitude of the charge on the balls.

Equation Transcription:

Text Transcription:

20.0^\circ

Questions & Answers

QUESTION:

Two small plastic balls hang from threads of negligible mass. Each ball has a mass of 0.14 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 \(20.0^{\circ}\) with the vertical, as shown in Figure 19–39. Find

(a) the magnitude of the electric force acting on each ball,

(b) the tension in each of the threads, and

(c) the magnitude of the charge on the balls.

Equation Transcription:

Text Transcription:

20.0^\circ

ANSWER:

Solution 94GP

Step 1 of 4

(a)

Here we need to find the magnitude of electric force acting on each ball.

Let T be the tension,  be the weight of ball and  be the electrostatic force.

By considering the left ball, using Newton’s law we have

  • Horizontal components,

……..1

  • Vertical components,

…....2

Solving for T,

                                        ……..3

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