What is the Attraction Force Calculator?
The Attraction Force Calculator computes the gravitational force of attraction between two masses using Newton's Law of Universal Gravitation. This fundamental physics principle describes how every mass in the universe attracts every other mass.
Formula
The gravitational force between two objects is calculated using:
$$AF = G \times \frac{m_1 \times m_2}{d^2}$$
Where:
- AF = Attraction Force (N)
- G = Gravitational constant (6.67 × 10⁻¹¹ Nm²/kg²)
- m₁ = Mass of the first object (kg)
- m₂ = Mass of the second object (kg)
- d = Distance between the centers of the objects (m)
How to Use
- Enter the mass of the first object in kilograms
- Enter the mass of the second object in kilograms
- Enter the distance between the objects in meters
- Click "Calculate" to see the gravitational attraction force
Example Calculation
For two objects with masses of 1500 kg and 4500 kg separated by 10 meters:
$$AF = \frac{6.67 \times 10^{-11} \times 1500 \times 4500}{10^2}$$
$$AF = \frac{4.50225 \times 10^{-4}}{100}$$
$$AF = 4.50225 \times 10^{-6} \text{ N}$$
The gravitational attraction force is approximately 4.50 × 10⁻⁶ N (newtons).
Applications
- Astronomy: Calculating planetary and stellar gravitational interactions
- Satellite Orbits: Determining orbital mechanics and trajectories
- Physics Education: Understanding fundamental gravitational principles
- Engineering: Designing space missions and celestial navigation systems
Key Considerations
- The gravitational force is extremely small for everyday objects due to the tiny value of G
- Force increases with larger masses and decreases with greater distance
- The relationship follows an inverse square law with respect to distance
- This calculator assumes point masses or spherically symmetric objects