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Gravitational Force Between Two Point Masses — result sheet
Calculate the magnitude of Newtonian gravitational force between two point masses at a stated separation.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Gravitational-force magnitude F = G m1 m2 / r^2, using G = 6.67430e-11 N m^2/kg^2. This is a point-mass Newtonian model only.
This calculator evaluates the inverse-square Newtonian force magnitude between two entered point masses. It uses the stated gravitational constant and does not model extended bodies, orbital behavior, or design advice.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- First point mass — kg; Finite nonnegative mass in kilograms.; minimum 0; maximum 1000000000000000
- Second point mass — kg; Finite nonnegative mass in kilograms.; minimum 0; maximum 1000000000000000
- Separation — m; Finite positive center-to-center separation in metres.; minimum 1.0E-6; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| First point mass | 5 |
| Second point mass | 10 |
| Separation | 2 |
Point-mass gravitational force is 8.342875e-10 N.
Assumptions and limits
- Both masses are finite nonnegative point-mass values in kilograms and separation is a finite positive center-to-center distance in metres.
- The universal gravitational constant is fixed at 6.67430e-11 N m^2/kg^2 and the force is treated as an attractive magnitude.
- This is a point-mass Newtonian model only. Extended-body corrections, orbital prediction, structural design, and safety advice are outside scope.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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