Gravitational Force Formula Calculator

Gravitational Force Formula:

\[ F = G \frac{m_1 m_2}{r^2} \]

Mass of Object 1 (m₁):

Mass of Object 2 (m₂):

Distance Between Objects (r):

Gravitational Constant (G):

N m²/kg²

Gravitational Force (F):

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1. What is the Gravitational Force Formula 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 at a given distance.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F = G \frac{m_1 m_2}{r^2} \]

Where:

\( F \) — Gravitational force (Newtons)
\( G \) — Gravitational constant (6.674×10⁻¹¹ N m²/kg²)
\( m_1 \) — Mass of first object (kg)
\( m_2 \) — Mass of second object (kg)
\( r \) — Distance between centers of masses (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 astronomy, space exploration, satellite technology, and fundamental physics research.

4. Using the Calculator

Tips: Enter the masses of both objects in kilograms, the distance between them in meters, and the gravitational constant (default 6.674×10⁻¹¹ N m²/kg²). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the gravitational constant (G)?
A: It's a fundamental physical constant that determines the strength of gravity in Newton's law of universal gravitation.

Q2: Why is the distance squared in the formula?
A: Gravity follows an inverse-square law, meaning its strength diminishes with the square of the distance between objects.

Q3: Can I calculate the force between everyday objects?
A: Yes, but the force between small objects is extremely weak. For example, two 100kg masses 1m apart experience about 6.67×10⁻⁷ N of force.

Q4: How accurate is this calculator?
A: It's accurate for classical physics calculations. For extreme gravity (near black holes) or very high precision, general relativity may be needed.

Q5: Why is G so small?
A: The small value reflects gravity's weakness compared to other fundamental forces. It means enormous masses are needed to produce noticeable gravitational effects.