### Electric Force Calculation**Diagram Description:**- There are two spheres, labeled A and B.- Sphere A has a charge of +2 C.- Sphere B has a charge of +7 C.- The distance between the centers of both spheres is 9 meters.**Question:**Determine the electric force exerted on sphere A.**Answer Options:**- \(1.4 \times 10^{10}\) newtons- \(1.3 \times 10^{11}\) newtons- \(9 \times 10^{9}\) newtons- \(1.6 \times 10^{9}\) newtons (correct option)To solve this, use Coulomb's law:\[ F = k \frac{|q_1 q_2|}{r^2} \]where:- \( F \) is the electric force,- \( k \) is Coulomb's constant (\( 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \)),- \( q_1 \) and \( q_2 \) are the charges,- \( r \) is the distance between the charges.Plug in the values:\[ F = 8.99 \times 10^9 \times \frac{|2 \times 7|}{9^2} \] After calculation, the correct answer is \( 1.6 \times 10^9 \) newtons.

Given data The electric charge on sphere A is given as qA = +2 C. The electric charge on sphere B…

Answered: 9 m +2 C +7 C Determine the electric…

9 m +2 C +7 C Determine the electric force exerted on sphere A. O 1.4 1010 newtons 1.3 1011 newtons 9 10 newtons 1.6 10 newtons

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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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

### Electric Force Calculation

**Diagram Description:**

- There are two spheres, labeled A and B.
- Sphere A has a charge of +2 C.
- Sphere B has a charge of +7 C.
- The distance between the centers of both spheres is 9 meters.

**Question:**

Determine the electric force exerted on sphere A.

**Answer Options:**

- \(1.4 \times 10^{10}\) newtons
- \(1.3 \times 10^{11}\) newtons
- \(9 \times 10^{9}\) newtons
- \(1.6 \times 10^{9}\) newtons (correct option)

To solve this, use Coulomb's law:
\[ F = k \frac{|q_1 q_2|}{r^2} \]
where:
- \( F \) is the electric force,
- \( k \) is Coulomb's constant (\( 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \)),
- \( q_1 \) and \( q_2 \) are the charges,
- \( r \) is the distance between the charges.

Plug in the values:
\[ F = 8.99 \times 10^9 \times \frac{|2 \times 7|}{9^2} \]

After calculation, the correct answer is \( 1.6 \times 10^9 \) newtons.

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