1. What is the Gravitational Force Formula?

Definition: This calculator computes the gravitational force between two objects using Newton's Law of Universal Gravitation.

Purpose: It helps physicists, astronomers, and students understand the attractive force between two masses.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F \) — Gravitational force (Newtons)
• \( G \) — Gravitational constant (6.67430 × 10⁻¹¹ N m²/kg²)
• \( m_1 \) — Mass of first object (kg)
• \( m_2 \) — Mass of second object (kg)
• \( r \) — Distance between centers of mass (m)

Explanation: The force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

3. Importance of Gravitational Force Calculation

Details: Understanding gravitational forces is crucial for orbital mechanics, astrophysics, and fundamental physics research.

4. Using the Calculator

Tips: Enter the masses of both objects in kilograms and the distance between them in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is the gravitational constant so small?
A: The small value reflects the weakness of gravity compared to other fundamental forces at small scales.

Q2: Does this formula work for any distance?
A: It works for most distances, but for extreme gravity (near black holes), Einstein's General Relativity is needed.

Q3: How accurate is this calculation?
A: Very accurate for most practical purposes, though extremely small forces may be hard to measure.

Q4: What units should I use?
A: Use kilograms for mass and meters for distance to get force in Newtons.

Q5: Can I calculate Earth's gravity with this?
A: Yes, using Earth's mass (5.972 × 10²⁴ kg) and radius (6.371 × 10⁶ m) as one object.