Force From Mass And Distance Calculator

Gravitational Force Formula:

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

Gravitational Force (N):

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1. What is Gravitational Force Calculator?

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

Purpose: It helps physics students and professionals understand and calculate the gravitational attraction between two 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)
\( m_1 \) — First mass (kilograms, kg)
\( m_2 \) — Second mass (kilograms, kg)
\( r \) — Distance between centers (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 astrophysics, orbital mechanics, and understanding planetary motion.

4. Using the Calculator

Tips: Enter both masses in kilograms and the distance between their centers 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 that determines the strength of gravity in Newton's law of universal gravitation (6.67430 × 10⁻¹¹ N m²/kg²).

Q2: Why is the force so small for everyday objects?
A: Because G is extremely small, noticeable gravitational forces only occur between very massive objects like planets and stars.

Q3: Does this work for any distance?
A: The formula works for point masses or spherical objects where r is the distance between centers. For very small distances, quantum effects become significant.

Q4: How does this relate to weight?
A: Your weight is the gravitational force between you and Earth. Use Earth's mass (5.97 × 10²⁴ kg) and radius (6.371 × 10⁶ m) to calculate it.

Q5: Why is the result in scientific notation?
A: Because gravitational forces between everyday objects are extremely small, often requiring scientific notation for clear representation.