Understanding Coulomb's Law
Coulomb's law describes the force between two charged objects. The formula is:
\[ F = k \frac{|q_1 \cdot q_2|}{r^2} \]
Where:
- \( F \) is the force between the charges,
- \( k \) is Coulomb's constant (\( 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \)),
- \( q_1 \) and \( q_2 \) are the charges,
- \( r \) is the distance between the charges.

Given Values
- Charge \( q_1 = 2 \, \text{C} \)
- Charge \( q_2 = 1 \, \text{C} \)
- Distance \( r = 1 \, \text{m} \)

Calculating the Force
Substituting the values into Coulomb's law:
\[ F = 8.99 \times 10^9 \, \frac{|2 \cdot 1|}{1^2} \]
This simplifies to:
\[ F = 8.99 \times 10^9 \, \frac{2}{1} \]
\[ F = 8.99 \times 10^9 \times 2 \]
\[ F = 1.798 \times 10^{10} \, \text{N} \]

Conclusion
The force between a 2C charge and a 1C charge separated by 1 meter in air is approximately:
**1.798 × 10¹⁰ N**
This large force indicates how significant electric interactions can be between charged objects, especially when dealing with large charges.