Attraction Force Calculator

Calculate the gravitational attraction force between two objects using Newton's Law of Universal Gravitation

Input Parameters

Calculation Results

Calculation Formula

F = G × (m₁ × m₂) / r²

Where:
F = Gravitational Force (N)
G = Gravitational Constant (m³/kg/s²)
m₁ = Mass of Object 1 (kg)
m₂ = Mass of Object 2 (kg)
r = Distance between objects (m)

Calculation Result

Enter the input values and click "Calculate" to see the result

This calculator uses Newton's Law of Universal Gravitation to calculate the force of attraction between two objects. The gravitational constant (G) is approximately 6.67430 × 10⁻¹¹ m³/kg/s².

Attraction Force Calculator Calculator Usage Guide

Learn how to use the Attraction Force Calculator and understand the principles behind it

How to Use This Calculator

  1. Enter the mass of the first object in kilograms (kg)
  2. Enter the mass of the second object in kilograms (kg)
  3. Enter the distance between the centers of the two objects in meters (m)
  4. The gravitational constant (G) is pre-filled with the standard value (6.67430 × 10⁻¹¹ m³/kg/s²), but you can change it if needed
  5. Click the "Calculate" button to compute the gravitational attraction force
  6. The result will be displayed in both standard and scientific notation

Understanding Gravitational Force

This calculator uses Newton's Law of Universal Gravitation, which states that every point mass attracts every other point mass 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.

The formula is: F = G × (m₁ × m₂) / r²

Where:

  • F = Gravitational Force (measured in Newtons, N)
  • G = Gravitational Constant (approximately 6.67430 × 10⁻¹¹ m³/kg/s²)
  • m₁ = Mass of the first object (in kilograms, kg)
  • m₂ = Mass of the second object (in kilograms, kg)
  • r = Distance between the centers of the two objects (in meters, m)

Practical Examples

Example 1: Earth and Moon
Earth's mass ≈ 5.972 × 10²⁴ kg
Moon's mass ≈ 7.348 × 10²² kg
Average distance ≈ 3.844 × 10⁸ m
Using these values, you can calculate the gravitational force between Earth and the Moon.

Example 2: Two People
If two people with a mass of 70 kg each stand 1 meter apart, you can calculate the tiny gravitational force between them. This force is extremely small and would be barely noticeable in everyday life.

Important Notes

  • This calculator assumes point masses or objects where the distance is measured from center to center
  • The gravitational constant (G) has six significant digits, but for most practical calculations, you can use fewer decimal places
  • The calculator uses standard units: kilograms for mass and meters for distance
  • The force calculated is the magnitude of the force. In reality, this force would be attractive and act along the line connecting the two objects