The figure shows two tiny 5.0-g spheres suspended from very light long threads of length L= 1.0-m. The spheres repel each other after each one is given the same positive charge and hang at rest when 9 = 3.0°. What is the charge on each sphere? (k = 1/4 = 9.0 × 10⁹ N. • m²/c²) 1.0 m 5.0 g (+) 360 nC O 56 nC 1.0 m +5.0 g
The figure shows two tiny 5.0-g spheres suspended from very light long threads of length L= 1.0-m. The spheres repel each other after each one is given the same positive charge and hang at rest when 9 = 3.0°. What is the charge on each sphere? (k = 1/4 = 9.0 × 10⁹ N. • m²/c²) 1.0 m 5.0 g (+) 360 nC O 56 nC 1.0 m +5.0 g
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Problem: Electrostatic Force Between Charged Spheres**
*Description:*
The figure shows two tiny 5.0-g spheres suspended from very light long threads of length \( L = 1.0 \, \text{m} \). The spheres repel each other after each one is given the same positive charge and hang at rest when \( \theta = 3.0^\circ \).
**Question:** What is the charge on each sphere?
*Given:*
- Mass of each sphere: \( 5.0 \, \text{g} \)
- Length of each thread: \( 1.0 \, \text{m} \)
- Angle \( \theta = 3.0^\circ \)
- Coulomb's constant (\( k \)): \( 1/4\pi\varepsilon_0 = 9.0 \times 10^9 \, \text{N} \cdot \text{m}^2/\text{C}^2 \)
*Diagram Explanation:*
- The diagram depicts two spheres hanging from a horizontal support via two threads, each of length 1.0 m.
- Both spheres, each with a mass of 5.0 g, have the same positive charge, causing them to repel one another and creating an angle of \( 3.0^\circ \) between the threads and the vertical line from which they are suspended.
*Multiple Choice Answers:*
- 360 nC
- 56 nC
- 89 nC
- 22 nC
- 45 nC
**Instructions:** Choose the correct charge on each sphere from the given options.
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