Physics and Engineering
Gravitational Force Calculator
Gravitational Force Calculator calculate Newtonian gravitational attraction between two point masses separated by a center-to-center distance.
Physics and Engineering
Gravitational Force Calculator
Calculate Newtonian gravitational attraction between two point masses separated by a center-to-center distance.
Formula
Gravitational force = G x mass 1 x mass 2 / distance^2.
About the Gravitational Force Calculator
Calculate Newtonian gravitational attraction between two point masses separated by a center-to-center distance.
How the Gravitational Force Calculator Works
The two masses and center separation are inserted into Newton's inverse-square law using G = 6.67430 x 10^-11 m^3 kg^-1 s^-2.
Formula
Gravitational force = G x mass 1 x mass 2 / distance^2.
The calculation runs in your browser. Values are validated for required ranges, compatible units, and method-specific restrictions before results are displayed.
Required Inputs
- First mass (required) - enter in kg.
- Second mass (required) - enter in kg.
- Center-to-center distance (required) - enter in m.
Results Reported
The result panel reports the final answer and the intermediate quantities needed to check the calculation:
- Gravitational force (N)
- Acceleration of second mass (m/s2)
- Acceleration of first mass (m/s2)
Gravitational Force Calculator Example
Select Example Data in the calculator to load this reproducible input set:
| Input | Example value |
|---|---|
| First mass | 5.972e+24 kg |
| Second mass | 1000 kg |
| Center-to-center distance | 6371000 m |
How to Use the Calculator
- Confirm that the calculator title and formula match the quantity you need.
- Enter every required value using the unit shown with its field.
- Select Example Data to inspect a valid input set, or enter your own values and select Calculate.
- Review all reported values and the displayed formula before using the answer.
- Use Copy Result or Download CSV when you need a reusable record.
Accuracy and Limitations
Bodies are treated as point masses or spherically symmetric masses with non-overlapping centers. Relativity, nonspherical fields, and other forces are excluded.
Keep units consistent, use measurements that represent the actual situation, retain full precision during the calculation, and round only the final answer. Professional decisions may require current official rules, field measurements, laboratory methods, or specialist review.
Frequently Asked Questions
What does the Gravitational Force Calculator calculate?
Calculate Newtonian gravitational attraction between two point masses separated by a center-to-center distance.
Which formula does the Gravitational Force Calculator use?
Gravitational force = G x mass 1 x mass 2 / distance^2. The two masses and center separation are inserted into Newton's inverse-square law using G = 6.67430 x 10^-11 m^3 kg^-1 s^-2.
What should I check before using the Gravitational Force Calculator result?
Bodies are treated as point masses or spherically symmetric masses with non-overlapping centers. Relativity, nonspherical fields, and other forces are excluded.