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

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### 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.
Transcribed Image Text:### 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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