Gravitational Force Calculator
Calculate the gravitational force between two masses using Newton’s law of gravitation. Step-by-step solutions for planets, objects, and space applications.
Gravitational force calculator:
This Gravitational Force Calculator is used to calculate the force between two bodies. Input the masses and distance in calculating gravitation based on the law of Newton, where the calculation is done step by step.
Mechanical Gravitational Force Tools formula
The Gravitational Force Calculator is useful to students, engineers, and amateurs of astronomy to calculate the force of attraction between two masses by Newton's law of gravitation:
\[ F = G\frac{m_{1}m_{2}}{r^{2}} \]
F is the force of gravity (N), G is the gravitational constant (6.674x10 -1 N m 2/kg 2), m 1 and m 2 are the masses (kg), and r is the measure of the distance between the centers of the two masses (m).
Masses and distances can be entered by the user to compute the force of gravity. The step-by-step solutions are used to explain how objects attract one another, which is used to understand planetary motion, satellites, and physics problems.
The SI units are endorsed: mass (kg), distance (m), and force (N). It is a good tool in the study and simulation of gravitational interaction for physics students, mechanical engineers, astronomers, and researchers.
Work & Installation — Input to Output Summary
Input:
- Mass of first object (m₁ in kg)
- Mass of second object (m₂ in kg)
- Distance between objects (r in meters)
- Optional: Gravitational constant G (default 6.674×10⁻¹¹ N·m²/kg²)
Processing:
- Compute gravitational force: F = G × (m₁ × m₂) / r²
- Validate input values and units
Output:
- Gravitational force (F) in Newtons (N)
- Step-by-step formula and calculation
Testing and Final Adjustments
- m₁ = 1000 kg, m₂ = 500 kg, r = 10 m → F ≈ 3.337×10⁻⁶ N
- Earth-Moon: m₁ = 5.972×10²⁴ kg, m₂ = 7.348×10²² kg, r = 3.844×10⁸ m → F ≈ 1.98×10²⁰ N
- Edge cases: r = 0 → error; m₁ = 0 or m₂ = 0 → F = 0
- Units validation: mass in kg, distance in meters, force in N
- Step-by-step clarity for students and engineers
- Mobile/desktop UX: numeric keypad, labels, dropdown for units
- Include examples: planetary systems, satellite interactions, object-on-Earth calculations
- SEO metadata: "Gravitational Force Calculator," "Newton’s Law Tool," "Physics Force Calculator," schema markup
Frequently Asked Questions - Gravitational Force Calculator:
What is gravitational force?
Gravitational force is the attractive force between two masses, proportional to their masses and inversely proportional to the square of the distance.
How do I calculate gravitational force?
F = G × (m₁ × m₂) / r², where G = 6.674×10⁻¹¹ N·m²/kg².
What units are used?
Mass in kg, distance in meters, gravitational force in Newtons (N).
What is the gravitational constant?
G = 6.674×10⁻¹¹ N·m²/kg², a universal constant for Newton’s law of gravitation.
Can I calculate force between planets?
Yes, input planetary masses and distance between centers to compute gravitational attraction.
Does it work for small objects?
Yes, it calculates gravitational force between any two masses.
Who should use this calculator?
Physics students, mechanical engineers, astronomers, and researchers studying gravity.
Does it show step-by-step calculations?
Yes, formulas and intermediate steps are displayed for clarity.
What happens if distance is zero?
It produces an error since division by zero is undefined.
Why is gravitational force important?
It governs planetary motion, satellite orbits, and interactions between all masses in the universe.
