A small sphere of mass m = 6.90 g and charge q, = 30.1 nC is attached to the end of a string and hangs vertically as in the figure. A second charge of equal mass and charge q, = -58.0 nC is located below the first charge a distance d = 2.00 cm below the first charge as in the figure. 92 (a) Find the tension in the string. N (b) If the string can withstand a maximum tension of 0.180 N, what is the smallest value d can have before the string breaks? cm

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Chapter1: Units, Trigonometry. And Vectors
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A small sphere of mass \( m = 6.90 \, \text{g} \) and charge \( q_1 = 30.1 \, \text{nC} \) is attached to the end of a string and hangs vertically as in the figure. A second charge of equal mass and charge \( q_2 = -58.0 \, \text{nC} \) is located below the first charge a distance \( d = 2.00 \, \text{cm} \) below the first charge as in the figure.

![Diagram](attachment://image1.png)

**Diagram Explanation:**

- The diagram shows two charged spheres: \( q_1 \), which is positively charged and suspended by the string, and \( q_2 \), which is negatively charged and located directly below \( q_1 \) at a distance \( d \).
- The forces acting on the system include gravitational force, tension in the string, and electrostatic force between the charges.

### Tasks:

(a) Determine the tension in the string.
   - Provide your answer in Newtons (N).

(b) If the string can withstand a maximum tension of 0.180 N, find the smallest value \( d \) can have before the string breaks.
   - Provide your answer in centimeters (cm).
Transcribed Image Text:A small sphere of mass \( m = 6.90 \, \text{g} \) and charge \( q_1 = 30.1 \, \text{nC} \) is attached to the end of a string and hangs vertically as in the figure. A second charge of equal mass and charge \( q_2 = -58.0 \, \text{nC} \) is located below the first charge a distance \( d = 2.00 \, \text{cm} \) below the first charge as in the figure. ![Diagram](attachment://image1.png) **Diagram Explanation:** - The diagram shows two charged spheres: \( q_1 \), which is positively charged and suspended by the string, and \( q_2 \), which is negatively charged and located directly below \( q_1 \) at a distance \( d \). - The forces acting on the system include gravitational force, tension in the string, and electrostatic force between the charges. ### Tasks: (a) Determine the tension in the string. - Provide your answer in Newtons (N). (b) If the string can withstand a maximum tension of 0.180 N, find the smallest value \( d \) can have before the string breaks. - Provide your answer in centimeters (cm).
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