Force Of Gravitation Equation

Gravitational Force Formula:

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

Mass 1 (m₁):

Mass 2 (m₂):

Distance (r):

Gravitational Constant (G):

N m²/kg²

Gravitational Force (F):

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1. What is the Force of Gravitation Equation?

Definition: This equation calculates the gravitational force between two masses based on Newton's Law of Universal Gravitation.

Purpose: It helps physicists, astronomers, and students understand and calculate the attractive force between any two objects with mass.

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 essential for celestial mechanics, satellite orbits, and fundamental physics research.

4. Using the Calculator

Tips: Enter both masses in kg, distance between objects in meters, and gravitational constant (default 6.674×10⁻¹¹ N m²/kg²). 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, requiring massive objects to produce noticeable effects.

Q2: Does this work for any distance?
A: The equation works for all distances where relativistic effects are negligible (not extremely massive objects or near-light speeds).

Q3: How accurate is this calculation?
A: Very accurate for most applications, though Einstein's General Relativity provides more precise results in extreme conditions.

Q4: Can I calculate the force between planets?
A: Yes, just use their masses and center-to-center distance. The calculator can handle very large numbers.

Q5: Why is distance squared in the equation?
A: This inverse-square law reflects how gravitational influence spreads over spherical surfaces as distance increases.