1. Understand Coulomb's Law
Coulomb's Law describes the electrostatic force between charged objects:
* F = k * (q1 * q2) / r²
Where:
* F is the electrostatic force
* k is Coulomb's constant (approximately 8.98755 × 10⁹ N⋅m²/C²)
* q1 and q2 are the charges of the two objects (in Coulombs)
* r is the distance between the centers of the two objects (in meters)
2. Convert Units
* Convert the distance from centimeters to meters: 5.0 cm = 0.05 m
3. Plug in the Values
* F = (8.98755 × 10⁹ N⋅m²/C²) * (1.6 × 10⁻¹⁰ C) * (1.6 × 10⁻¹⁰ C) / (0.05 m)²
4. Calculate the Force
* F ≈ 9.19 × 10⁻⁶ N
Therefore, the force between the two balloons is approximately 9.19 × 10⁻⁶ Newtons.
Important Notes:
* Direction: Since both balloons have a negative charge, the force between them will be repulsive. They will push each other apart.
* Assumptions: We're assuming the balloons are point charges, meaning their size is negligible compared to the distance between them.