Three charged metal spheres, 9₁ = -5.42 nC, 92= 3.08 nC, and q3 = -2.56 nC, are arrayed in the xy plane so that they form an equilateral triangle with d= 12.0 cm, as shown in the figure. What is the net electrostatic force on the sphere at the origin? 7 = N)Ĵ 93 12.0 cm 92 91 60°
Three charged metal spheres, 9₁ = -5.42 nC, 92= 3.08 nC, and q3 = -2.56 nC, are arrayed in the xy plane so that they form an equilateral triangle with d= 12.0 cm, as shown in the figure. What is the net electrostatic force on the sphere at the origin? 7 = N)Ĵ 93 12.0 cm 92 91 60°
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)...
Related questions
Question
![**Problem Statement:**
Three charged metal spheres, \( q1 = -5.42 \, \text{nC} \), \( q2 = 3.08 \, \text{nC} \), and \( q3 = -2.56 \, \text{nC} \), are arrayed in the xy-plane so that they form an equilateral triangle with \( d = 12.0 \, \text{cm} \), as shown in the figure.
**Question:**
What is the net electrostatic force on the sphere at the origin?
**Solution Format:**
\[ \mathbf{F} = \left( \_\_\_\_ \, \text{N} \right) \mathbf{\hat{i}} - \left( \_\_\_\_ \, \text{N} \right) \mathbf{\hat{j}} \]
**Diagram Explanation:**
- **Graph Description:**
The diagram is a two-dimensional graph depicting the positional arrangement of three charged spheres. The spheres are positioned so that they form an equilateral triangle.
- **Axes:**
- The vertical axis is labeled 'y'.
- The horizontal axis is labeled 'x'.
- **Sphere Positions:**
- Sphere \( q1 \) is located at the origin of the graph.
- Sphere \( q2 \) is positioned along the positive x-axis at a distance of 12.0 cm from \( q1 \).
- Sphere \( q3 \) is located above and to the left of \( q1 \) and \( q2 \), forming a 60° angle with both axes.
**Diagram Key Points:**
- The sides of the triangle formed by the charges are all equal (12.0 cm).
- An angle of 60° is formed between each of the sides in the equilateral triangle.
This problem involves calculating the net electrostatic force experienced by one of the charges at the origin due to the other two charges. The forces between the charges can be resolved into components along the x and y axes, and then summed vectorially to find the total force.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a5ac3c6-e4ab-423a-91e1-ff33bdae0d07%2F5d4a2884-65b2-4bdc-b79d-baf76103b8c9%2Fc0uv8ug_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Three charged metal spheres, \( q1 = -5.42 \, \text{nC} \), \( q2 = 3.08 \, \text{nC} \), and \( q3 = -2.56 \, \text{nC} \), are arrayed in the xy-plane so that they form an equilateral triangle with \( d = 12.0 \, \text{cm} \), as shown in the figure.
**Question:**
What is the net electrostatic force on the sphere at the origin?
**Solution Format:**
\[ \mathbf{F} = \left( \_\_\_\_ \, \text{N} \right) \mathbf{\hat{i}} - \left( \_\_\_\_ \, \text{N} \right) \mathbf{\hat{j}} \]
**Diagram Explanation:**
- **Graph Description:**
The diagram is a two-dimensional graph depicting the positional arrangement of three charged spheres. The spheres are positioned so that they form an equilateral triangle.
- **Axes:**
- The vertical axis is labeled 'y'.
- The horizontal axis is labeled 'x'.
- **Sphere Positions:**
- Sphere \( q1 \) is located at the origin of the graph.
- Sphere \( q2 \) is positioned along the positive x-axis at a distance of 12.0 cm from \( q1 \).
- Sphere \( q3 \) is located above and to the left of \( q1 \) and \( q2 \), forming a 60° angle with both axes.
**Diagram Key Points:**
- The sides of the triangle formed by the charges are all equal (12.0 cm).
- An angle of 60° is formed between each of the sides in the equilateral triangle.
This problem involves calculating the net electrostatic force experienced by one of the charges at the origin due to the other two charges. The forces between the charges can be resolved into components along the x and y axes, and then summed vectorially to find the total force.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON