Gravitational Forces On Particles Calculator

Gravitational Force Formula:

\[ F_g = [g] \times \frac{m_1 \times m_2}{r^2} \]

Gravitational Forces Between Particles (Fg):

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1. What is Gravitational Force?

Gravitational force is the attractive force between two bodies with mass. It is described by Newton's law of universal gravitation, which states that every particle attracts every other particle in the universe with a force proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

2. How Does the Calculator Work?

The calculator uses the gravitational force formula:

\[ F_g = [g] \times \frac{m_1 \times m_2}{r^2} \]

Where:

\( F_g \) — Gravitational force between particles (N)
\( [g] \) — Gravitational acceleration constant (9.80665 m/s²)
\( m_1 \) — Mass of body A (kg)
\( m_2 \) — Mass of body B (kg)
\( r \) — Distance between two masses (m)

Explanation: The formula calculates the gravitational attraction between two masses based on their magnitudes and the distance separating them.

3. Importance of Gravitational Force Calculation

Details: Calculating gravitational forces is essential in astrophysics, orbital mechanics, geophysics, and understanding fundamental physical interactions between celestial bodies and particles.

4. Using the Calculator

Tips: Enter masses in kilograms and distance in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the gravitational constant [g] value?
A: The gravitational acceleration constant used is 9.80665 m/s², which represents the standard gravitational acceleration on Earth's surface.

Q2: How does distance affect gravitational force?
A: Gravitational force decreases with the square of the distance between two masses. Doubling the distance reduces the force to one-quarter of its original value.

Q3: Can this calculator be used for celestial bodies?
A: Yes, the same formula applies to any two masses, though for astronomical calculations, extremely large numbers may be involved.

Q4: What are typical gravitational force values?
A: Gravitational forces range from extremely small values (between subatomic particles) to enormous values (between celestial bodies like planets and stars).

Q5: How accurate is this calculation?
A: The calculation provides accurate results for classical Newtonian gravity. For extremely strong gravitational fields or relativistic speeds, Einstein's general relativity would be needed.