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The image presents a physics problem involving electric charges between two ions (Ion A and Ion B), separated by a distance of 5 µm. The problem seems to ask for the following:

1. **Calculate the electric force** between the two charges using Coulomb's law.
2. **Determine the direction of the electric field** at a specific point.
3. **Describe** how the force changes under certain conditions.

### Breakdown of Information from the Image:

- **Ion A** has a charge of \( +5 \, \mu\text{C} \).
- **Ion B** has a charge of \( -7 \, \mu\text{C} \).
- The distance between the ions is \( 5 \, \mu\text{m} = 5 \times 10^{-6} \, \text{m} \).
- Coulomb's constant \( k = 9 \times 10^9 \, \text{N} \cdot \text{m}^2 / \text{C}^2 \).

### 1. Electric Force Calculation

We can apply **Coulomb's law** to calculate the force between the two ions:

\[
F = k \cdot \frac{|q_1 \cdot q_2|}{r^2}
\]

Where:
- \( F \) is the force between the charges.
- \( k = 9 \times 10^9 \, \text{N} \cdot \text{m}^2 / \text{C}^2 \).
- \( q_1 = +5 \, \mu\text{C} = 5 \times 10^{-6} \, \text{C} \).
- \( q_2 = -7 \, \mu\text{C} = -7 \times 10^{-6} \, \text{C} \).
- \( r = 5 \, \mu\text{m} = 5 \times 10^{-6} \, \text{m} \).

Let me calculate the force for you.The electric force between Ion A and Ion B is \( 1.26 \times 10^{10} \, \text{N} \) or 12.6 billion newtons.

### Next Steps:

2. **Indicate the direction of the electric force:** Since Ion A is positively charged and Ion B is negatively charged, the force between them is attractive. Therefore, Ion A will experience a force toward Ion B, and vice versa.

3. **Determine how the force would change if the distance between the ions increased:** According to Coulomb's law, the force is inversely proportional to the square of the distance. Thus, if the distance between the ions increases, the force will decrease.

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Would you like further details on the second and third parts? Here are some follow-up questions:

1. How does the electric force change if both charges have the same sign?
2. What happens to the force if the charges are doubled but the distance remains the same?
3. Can you calculate the potential energy stored between the ions using Coulomb’s law?
4. How would the electric field strength at the midpoint between the ions be affected?
5. What is the significance of the sign of the charges in determining the type of force?

**Tip:** Remember that the force decreases rapidly with distance due to the square in Coulomb's law.

Adriana encontró un cristal preciso. En el laboratorio de mineralogía se determina que el cristal está compuesto por dos iones, los cuales se encuentran a una distancia de 5 µm con cargas de 5 µC y -7 µC, como se muestra en la figura.

Calculate the electric force between two ions with charges of 5 µC and -7 µC, separated by a distance of 5 µm. This problem uses Coulomb's law to determine the magnitude and direction of the force, along with discussing how the force changes with varying distances.

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