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This problem involves calculating the Coulomb force between two charges using Coulomb's law. The formula for Coulomb’s law is:

\[
F = k \frac{{|Q_1 \cdot Q_2|}}{{r^2}}
\]

where:
- \( F \) is the force between the charges,
- \( k \) is Coulomb's constant, \( 8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2 \),
- \( Q_1 \) and \( Q_2 \) are the charges,
- \( r \) is the distance between the charges.

### Given:
- \( Q_1 = 6 \times 10^{-4} \, \text{C} \)
- \( Q_2 = 9 \times 10^{-4} \, \text{C} \)
- \( r = 15 \, \text{cm} = 0.15 \, \text{m} \)

### Solution:
Substitute the values into Coulomb's law formula:

\[
F = \left( 8.99 \times 10^9 \right) \times \frac{{6 \times 10^{-4} \times 9 \times 10^{-4}}}{{(0.15)^2}}
\]

1. Calculate the product of the charges:
   \[
   6 \times 10^{-4} \times 9 \times 10^{-4} = 5.4 \times 10^{-7} \, \text{C}^2
   \]

2. Calculate the square of the distance:
   \[
   (0.15)^2 = 0.0225 \, \text{m}^2
   \]

3. Substitute back into the formula for \( F \):
   \[
   F = \left( 8.99 \times 10^9 \right) \times \frac{{5.4 \times 10^{-7}}}{{0.0225}}
   \]

4. Perform the division and multiplication:
   \[
   F = \left( 8.99 \times 10^9 \right) \times 2.4 \times 10^{-5}
   \]
   \[
   F = 2.16 \times 10^5 \, \text{N}
   \]

### Answer:
The correct answer is \( \mathbf{2.16 \times 10^5 \, \text{N}} \), which is not explicitly among the provided choices, but it is closest to option **c. \( 2.16 \times 10^4 \)** which could indicate a rounding or typo in the options.

Do you have any questions or need further explanation?

### Follow-up Questions:
1. How does changing the distance between the charges affect the Coulomb force?
2. What would happen to the force if both charges were doubled?
3. How would the force change if one of the charges were negative?
4. What is the physical significance of the Coulomb constant \( k \)?
5. Can Coulomb's law be applied in non-vacuum mediums, and how would that affect \( k \)?

#### Tip:
Always convert units to the SI system before starting calculations in physics problems for consistency and accuracy.

Dua buah muatan dimana Q = 6 × 10^-4 C dan Q = 9 × 10^-4 C terpisah pada jarak 15 cm. Besarnya gaya coulomb diantara dua muatan tersebut adalah ....

Find the Coulomb force between two charges Q = 6 × 10^-4 C and Q = 9 × 10^-4 C separated by 15 cm using Coulomb's law. This problem demonstrates electrostatics concepts and the application of Coulomb's law, ideal for high school physics students.

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