In the figure particle 1 of charge +4e is above a floor by distance d, = 2.60 mm and particle 2 of charge +8e is on the floor, at distance d2 = 7.30 mm horizontally from particle 1. What is the x component of the electrostatic force on particle 2 due to particle 1?
In the figure particle 1 of charge +4e is above a floor by distance d, = 2.60 mm and particle 2 of charge +8e is on the floor, at distance d2 = 7.30 mm horizontally from particle 1. What is the x component of the electrostatic force on particle 2 due to particle 1?
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
Please type the answer by computer thanks
![### Electrostatic Force: Calculating X Component
#### Problem Statement:
In the figure, particle 1 of charge \(+4e\) is above a floor by a distance \(d_1 = 2.60 \, \text{mm}\) and particle 2 of charge \(+8e\) is on the floor, at a distance \(d_2 = 7.30 \, \text{mm}\) horizontally from particle 1. What is the \(x\)-component of the electrostatic force on particle 2 due to particle 1?
#### Diagram Explanation:
The diagram involves two particles and a coordinate system:
- Particle 1 is positioned vertically above the floor at a distance \(d_1 = 2.60 \, \text{mm}\).
- Particle 2 is placed on the floor, horizontally from particle 1 at a distance \(d_2 = 7.30 \, \text{mm}\).
The text also includes a standard coordinate system with the \(x\)-axis along the horizontal plane and an origin presumably at the floor directly below particle 1.
#### Calculation Steps:
1. **Determine Horizontal Distance (x-component)**:
- The electrostatic force between two charges is given by Coulomb's Law:
\[
F = k_e \frac{|q_1 q_2|}{r^2}
\]
where:
- \(k_e\) is Coulomb's constant \((8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2)\),
- \(q_1 = +4e\),
- \(q_2 = +8e\),
- \(r\) is the distance between the charges.
2. **Calculate \(r\)**:
\[
r = \sqrt{d_1^2 + d_2^2}
\]
\[
r = \sqrt{(2.60 \times 10^{-3})^2 + (7.30 \times 10^{-3})^2} \, \text{m}
\]
\[
r \approx 7.74 \times 10^{-3} \, \text{m}
\]
3. **Calculate the Force**:
Using the values, compute the force magnitude \(F\):
\](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe462800b-ac16-4590-bafb-82d68c005ec5%2Fbe755ba4-8469-4972-9076-a4b784097ce9%2Fzr17uks_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Electrostatic Force: Calculating X Component
#### Problem Statement:
In the figure, particle 1 of charge \(+4e\) is above a floor by a distance \(d_1 = 2.60 \, \text{mm}\) and particle 2 of charge \(+8e\) is on the floor, at a distance \(d_2 = 7.30 \, \text{mm}\) horizontally from particle 1. What is the \(x\)-component of the electrostatic force on particle 2 due to particle 1?
#### Diagram Explanation:
The diagram involves two particles and a coordinate system:
- Particle 1 is positioned vertically above the floor at a distance \(d_1 = 2.60 \, \text{mm}\).
- Particle 2 is placed on the floor, horizontally from particle 1 at a distance \(d_2 = 7.30 \, \text{mm}\).
The text also includes a standard coordinate system with the \(x\)-axis along the horizontal plane and an origin presumably at the floor directly below particle 1.
#### Calculation Steps:
1. **Determine Horizontal Distance (x-component)**:
- The electrostatic force between two charges is given by Coulomb's Law:
\[
F = k_e \frac{|q_1 q_2|}{r^2}
\]
where:
- \(k_e\) is Coulomb's constant \((8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2)\),
- \(q_1 = +4e\),
- \(q_2 = +8e\),
- \(r\) is the distance between the charges.
2. **Calculate \(r\)**:
\[
r = \sqrt{d_1^2 + d_2^2}
\]
\[
r = \sqrt{(2.60 \times 10^{-3})^2 + (7.30 \times 10^{-3})^2} \, \text{m}
\]
\[
r \approx 7.74 \times 10^{-3} \, \text{m}
\]
3. **Calculate the Force**:
Using the values, compute the force magnitude \(F\):
\
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