### Example Problem 1: Coulomb’s Law in Two Dimensions**Given:**- **Sphere A:** Charge = +6.0 μC- **Sphere B:** Charge = -3.0 μC, located 4.0 cm to the right of Sphere A- **Sphere C:** Charge = +1.5 μC, located 3.0 cm directly beneath Sphere A**Analyze and Sketch the Problem:**1. **Establish Coordinate System:** Define +x and +y axes.2. **Sketch the Spheres:** - Place Sphere A at the origin. - Position Sphere B 4.0 cm to the right of Sphere A along the x-axis. - Position Sphere C 3.0 cm directly beneath Sphere A along the y-axis.3. **Label Distances and Forces:** - Distance \( r_{AB} \) between Sphere A and B: 4.0 cm - Distance \( r_{AC} \) between Sphere A and C: 3.0 cm - Represent force vectors \( F_{on\,A\,by\,B} \) and \( F_{on\,A\,by\,C} \)**Diagram:**``` y-axis ↑ | A (0,0) |\ | \rAC | \ | \ | C (0, -3.0 cm) | +------→ x-axis 4.0 cm B (4.0 cm, 0)```**Solve for the Unknown:**- Find the force of Sphere B on Sphere A- Find the force of Sphere C on Sphere A- Determine the net force on Sphere A \( F_{net\,A}\)### Steps:**1. Calculate Forces Using Coulomb’s Law:**The formula for Coulomb’s law is:\[ F = k \frac{|q_1 q_2|}{r^2} \]Where:- \( k = 8.99 \times 10^9 \, \text{N}\cdot\text{m}^2/\text{C}^2 \) (Coulomb's constant)- \( q_1 \text{ and } q_2 \) are the charges- \( r \) is the distance between the charges

Answered: Image /qna-images/answer/46e9a7bd-a3ce-481e-8bc6-5d1ee55106d2.jpg

EXAMPLE Problem 1 Coulomb's Law in Two Dimensions Sphere A, with a charge of +6.0 μC, is located near another charged sphere, B. Sphere B has a charge of -3.0 μC and is located 4.0 cm to the right of A. a. What is the force of sphere B on sphere A? b. A third sphere, C, with a +1.5-μC charge, is added to the configuration. If it is located 3.0 cm directly beneath A, what is the new net force on sphere A? Analyze and Sketch the Problem . Establish coordinate axes and sketch the spheres. +y Show and label the distances between A B the spheres. . Diagram and label the force vectors. q8 Known: Unknown: 9A= +6.0 μC AB= 4.0 cm FB on A = ? = 98 -3.0 μC ГАС = 3.0 cm FC on A = ? 9c = +1.5 μC Fnet = ? 2 Solve for the Unknown a. Find the force of sphere B on sphere A. FB on A = K² AB TAB +x FAC TAB QA qc 109 Nm² FC on

EXAMPLE Problem 1 Coulomb's Law in Two Dimensions Sphere A, with a charge of +6.0 μC, is located near another charged sphere, B. Sphere B has a charge of -3.0 μC and is located 4.0 cm to the right of A. a. What is the force of sphere B on sphere A? b. A third sphere, C, with a +1.5-μC charge, is added to the configuration. If it is located 3.0 cm directly beneath A, what is the new net force on sphere A? Analyze and Sketch the Problem . Establish coordinate axes and sketch the spheres. +y Show and label the distances between A B the spheres. . Diagram and label the force vectors. q8 Known: Unknown: 9A= +6.0 μC AB= 4.0 cm FB on A = ? = 98 -3.0 μC ГАС = 3.0 cm FC on A = ? 9c = +1.5 μC Fnet = ? 2 Solve for the Unknown a. Find the force of sphere B on sphere A. FB on A = K² AB TAB +x FAC TAB QA qc 109 Nm² FC on

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)...

See similar textbooks

Similar questions

MY NOTES ASK YOUR TEACHER A sphere that is positively charged hangs from a string that is attached to a negatively charged plate. The sphere is experiencing a 380 N electrostatic force and a 13 N/C Eid The string's tension is 8 N. Determine the sphere's mass and the sphere's charge (include polarity). Determine the sphere's mass. m= Determine the the sphere's charge (include polarity). q= MY NOTES ASK YOUR TEACHER
QUESTION 2 A point particle with a positive charge, q, and a mass, m, is held stationary by the forces of gravity and electricity above an infinite, thin, planar sheet of positive charge with charge density o. What is the value of o? a. εomg/q b. qmɛo/gr2 O c. 2qeo/mg O d. qeo/mgr2 e. 2ɛ0mg/q
Three point charges are shown below. q1 = 2.0 μC, q2 = 4.0 µC, and q3 = - 1.0 μC. d₁ = 2.0 cm and d2 = 1.0 cm. What is the magnitude of the net electric force on q3 in Newtons? Use K = 9.0 x 10⁹ Nm²/C² Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. 91 d₁ 92 + ・d₂- 93
Three point charges are shown below. q1 = 2.0 µC, q2 = 4.0 µC, and q3 = -1.0 µC. d₁ = 2.0 cm and d2 = 1.0 cm. What is the magnitude of the net electric force on q₁ in Newtons? Use K = 9.0 x 10⁹ Nm²/C² Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. 91 d₁ 92 + dą 93
10 nC B. A -5 nC You wish to place a charge at A, which when released will move away from the two charges shown, and then determine the speed of the charge when it gets an infinite distance away from the two charges. The rectangle is 18.4 cm high and 21.9 cm wide. In order for the charge placed at A to move to infinity, you must use an electron a proton When released, approximately which direction will the charge initially accelerate? Image an analog clock face placed at A with 12 o'clock upward. toward ---Select--- v o'clock How fast will the charge be moving when it gets an infinite distance from the two charges? m/s
Review I ConstantS Periodic Table An electric dipole is formed from + 3.0 nC point charges spaced 3.0 mm apart. The dipole is centered at the origin, oriented along the y-axis. Part A What is the electric field strength at point (x, y) = ( 25 mm , 0 cm)? Express your answer using two significant figures. ΑΣφ ? E N/C Submit Request Answer Part B What is the electric field strength at point (x, y) = (0 cm, 25 mm ) ? Express your answer using two significant figures. ΑΣφ ? E N/C
Homework 1, Q7 Please help im not understanding how to do this question
Review I Constants A small glass bead charged to 7.5 nC is in the plane that bisects a thin, uniformly charged, 10-cm-long glass rod and is 4.0 cm from the rod's center. The bead is repelled from the rod with a force of 840 uN. Part A What is the total charge on the rod? Express your answer with the appropriate units. HA ? |Q| = Value Units Submit Request Answer
Please review the image attached to this request and solve the problem. Thanks.
Question 4 please