Force Between Two Masses Calculator

Gravitational Force Formula:

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

Mass 1:

Mass 2:

Distance Between Masses:

Gravitational Constant:

N m²/kg²

Gravitational Force (N):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Force Between Two Masses Calculator?

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

Purpose: It helps physics students and professionals understand and calculate gravitational forces between objects.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( F \) — Gravitational force (Newtons, N)
\( G \) — Gravitational constant (6.67 × 10⁻¹¹ N m²/kg²)
\( m_1 \) — Mass of first object (kilograms, kg)
\( m_2 \) — Mass of second object (kilograms, kg)
\( r \) — Distance between centers of masses (meters, 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 fundamental in physics, astronomy, and space exploration. It explains planetary motion, tides, and spacecraft trajectories.

4. Using the Calculator

Tips: Enter both masses in kilograms, distance in meters, and gravitational constant (default 6.67×10⁻¹¹ 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: Gravitational force follows an inverse-square law, meaning it weakens with the square of the distance between masses.

Q3: Can I use this for small objects like people?
A: Yes, but the force will be extremely small because G is very tiny and human masses are relatively small.

Q4: How accurate is this calculator?
A: It's accurate for classical physics calculations. For extreme conditions (black holes, near light speed), general relativity is needed.

Q5: Why are my results so small?
A: Gravitational force is very weak compared to other fundamental forces. For significant results, you need planetary-scale masses.