Coulomb vs. Gravitational Force
Interactive Simulation
This simulation compares the electrostatic (Coulomb) and gravitational forces between fundamental particles at atomic scales.
Electron
Charge: -1.6×10⁻¹⁹ C
Mass: 9.11×10⁻³¹ kg
Proton
Charge: +1.6×10⁻¹⁹ C
Mass: 1.67×10⁻²⁷ kg
Electrostatic Force (Fₑ)
0.00 N
Gravitational Force (F₉)
0.00 N
Force Ratio (|Fₑ/F₉|)
0.00
Electron Acceleration
0.00 m/s²
Proton Acceleration
0.00 m/s²
Coulomb's Law (Electrostatic Force):
\[ F_e = \frac{1}{4\pi\varepsilon_0} \frac{q_1 q_2}{r^2} \]
where \( \frac{1}{4\pi\varepsilon_0} \approx 9 \times 10^9 \, \text{N·m}^2/\text{C}^2 \)
Newton's Law of Gravitation:
\[ F_g = G \frac{m_1 m_2}{r^2} \]
where \( G \approx 6.67 \times 10^{-11} \, \text{N·m}^2/\text{kg}^2 \)
Key Observation: The electrostatic force is typically ~10³⁹ times stronger than gravity at atomic scales!