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This problem involves Coulomb's Law, which describes the force between two point charges. The law is given by:

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

Where:
- \( F \) is the electrostatic force between the charges,
- \( k_e \) is Coulomb's constant \( (k_e = 8.99 \times 10^9 \, \text{N} \cdot \text{m}^2/\text{C}^2) \),
- \( q_1 \) and \( q_2 \) are the magnitudes of the two charges,
- \( r \) is the distance between the charges.

### Question Breakdown:
1. We are given:
   - Force at 1 cm (\(r_1 = 1 \, \text{cm} = 0.01 \, \text{m}\)) is \( F_1 = 0.2 \, \text{N} \).
   - Find the force at \( r_2 = 10 \, \text{cm} = 0.1 \, \text{m} \).

Since the force \( F \) is inversely proportional to the square of the distance (\( r^2 \)), we can set up the following relationship:

\[
\frac{F_2}{F_1} = \left(\frac{r_1}{r_2}\right)^2
\]

Substituting the values:
\[
\frac{F_2}{0.2} = \left(\frac{0.01}{0.1}\right)^2 = (0.1)^2 = 0.01
\]

\[
F_2 = 0.2 \times 0.01 = 0.002 \, \text{N}
\]

Thus, the force when the charges are 10 cm apart is \( 0.002 \, \text{N} \).

Would you like more details or have any further questions?

Here are 5 relative questions for deeper understanding:
1. How does Coulomb's Law change with different charge magnitudes?
2. What would happen to the force if the charges are doubled but the distance stays the same?
3. How would the force change if the charges were at an angle instead of along a straight line?
4. What happens if one of the charges is neutral (0 charge)?
5. How is Coulomb’s Law applied in the study of electric fields?

**Tip:** Always convert distances to meters when using Coulomb's Law, as the constant \( k_e \) uses SI units.

Two unequal point charges with a force of 0.2N when they are 1cm apart. Find the force when they are 10cm apart.

Learn how to calculate the force between two unequal point charges using Coulomb's law. Given a force of 0.2N at a 1cm distance, this problem explores the force when the charges are 10cm apart. A detailed explanation is provided, focusing on the inverse square law of electrostatics.

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