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Consider the arrangement of three small charged spheres, each of mass 6 g, shown in the figure. The spheres have equal charges of 75 nC and are positioned on the vertices of an equilateral triangle, with side length 41 cm. a) If these spheres are released at precisely the same time, how fast, in meters per second, will they be moving when they are infinitely far away form each other?

Consider the arrangement of three small charged spheres, each of mass 6 g, shown in the figure. The spheres have equal charges of 75 nC and are positioned on the vertices of an equilateral triangle, with side length 41 cm. a) If these spheres are released at precisely the same time, how fast, in meters per second, will they be moving when they are infinitely far away form each other?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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 Consider the arrangement of three small charged spheres, each of mass 6 g, shown in the figure. The spheres have equal charges of 75 nC and are positioned on the vertices of an equilateral triangle, with side length 41 cm.

a) If these spheres are released at precisely the same time, how fast, in meters per second, will they be moving when they are infinitely far away form each other? 

The image depicts an equilateral triangle with three vertices, each labeled as a point charge \( q \) with a positive sign encircled. Each side of the triangle is labeled with the length \( a \). ### Explanation of the Diagram - **Vertices**: The triangle has three vertices, each marked with a red circle containing a positive sign, signifying that each vertex holds a positive point charge, denoted by \( q \). - **Sides**: Each side of the triangle is labeled as \( a \), indicating that all sides are of equal length, characteristic of an equilateral triangle. This suggests symmetry in terms of both geometry and charge distribution. - **Charge Configuration**: The identical positive charges at each corner imply a symmetrical distribution of charge in the geometric figure. This configuration is often used in electrostatics problems to explore concepts such as electric field, potential energy, and forces between multiple charges with symmetrical arrangements. The equal distance between charges results in symmetrical forces acting along the triangle's axes, allowing simplification in calculations.
Transcribed Image Text:The image depicts an equilateral triangle with three vertices, each labeled as a point charge \( q \) with a positive sign encircled. Each side of the triangle is labeled with the length \( a \). ### Explanation of the Diagram - **Vertices**: The triangle has three vertices, each marked with a red circle containing a positive sign, signifying that each vertex holds a positive point charge, denoted by \( q \). - **Sides**: Each side of the triangle is labeled as \( a \), indicating that all sides are of equal length, characteristic of an equilateral triangle. This suggests symmetry in terms of both geometry and charge distribution. - **Charge Configuration**: The identical positive charges at each corner imply a symmetrical distribution of charge in the geometric figure. This configuration is often used in electrostatics problems to explore concepts such as electric field, potential energy, and forces between multiple charges with symmetrical arrangements. The equal distance between charges results in symmetrical forces acting along the triangle's axes, allowing simplification in calculations.
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