Gravitational Force Calculator Planets

Newton's Law of Universal Gravitation:

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

Gravitational Constant (G):

m³/kg·s²

Mass of first object (m1):

Mass of second object (m2):

Distance between objects (r):

Gravitational Force (F):

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1. What is Newton's Law of Universal Gravitation?

Newton's Law of Universal Gravitation states that every particle attracts every other particle in the universe with a force that is directly 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 Newton's Law of Universal Gravitation:

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

Where:

\( F \) — Gravitational force (N)
\( G \) — Gravitational constant (6.674×10⁻¹¹ m³/kg·s²)
\( m_1 \) — Mass of first object (kg)
\( m_2 \) — Mass of second object (kg)
\( r \) — Distance between centers of masses (m)

Explanation: The force between two objects increases with their masses and decreases with 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 understanding planetary motion.

4. Using the Calculator

Tips: Enter masses in kilograms, distance in meters. The gravitational constant is pre-filled with its standard value (6.674×10⁻¹¹ m³/kg·s²) but can be modified if needed.

5. Frequently Asked Questions (FAQ)

Q1: What is the value of the gravitational constant?
A: The accepted value is approximately 6.67430×10⁻¹¹ m³/kg·s².

Q2: Why is the gravitational force so weak between everyday objects?
A: Because the gravitational constant is extremely small, so only very massive objects (like planets) produce noticeable gravitational forces.

Q3: Does this equation work for any distance?
A: It works well for most astronomical distances, but at very small scales (quantum level) or near extremely massive objects (black holes), general relativity provides more accurate predictions.

Q4: How does this relate to planetary orbits?
A: The gravitational force provides the centripetal force that keeps planets in orbit around stars.

Q5: Can this calculate the force between a planet and a person?
A: Yes, though the force would be very small unless one of the masses is planetary in scale.