1. What is the Force of Gravity Equation Calculator?

Definition: This calculator computes the gravitational force between two objects using Newton's law of universal gravitation.

Purpose: It helps students, physicists, and engineers calculate 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 (6.67 × 10⁻¹¹ N m²/kg²)
• \( m_1 \) — Mass of first object (kg)
• \( m_2 \) — Mass of second object (kg)
• \( r \) — Distance between centers of masses (meters)

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 astrophysics, orbital mechanics, and fundamental physics research.

4. Using the Calculator

Tips: Enter the gravitational constant (default 6.67×10⁻¹¹), both masses in kg, and distance in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the gravitational constant (G)?
A: It's a fundamental physical constant (6.67430×10⁻¹¹ N m²/kg²) that appears in Newton's law of gravitation.

Q2: Why is the force so small for everyday objects?
A: Because G is extremely small, so noticeable gravitational force only occurs with planetary-scale masses.

Q3: Does this work for any distance?
A: The formula works for point masses or spherical objects where r is the distance between centers.

Q4: How accurate is this calculation?
A: For most purposes it's accurate, but for extreme gravity or high precision, general relativity must be considered.

Q5: What units should I use?
A: Use kilograms for mass, meters for distance, and the result will be in Newtons (N).