Solve force, masses, or distance with gravity equations. Check units, examples, exports, and inverse calculations. Build dependable answers for classwork, homework, labs, and revision.
| Case | Mass 1 (kg) | Mass 2 (kg) | Distance (m) | Force (N) |
|---|---|---|---|---|
| 1 | 5 | 10 | 2 | 8.342875000000e-10 |
| 2 | 50 | 75 | 3 | 2.780958333333e-8 |
| 3 | 1,000 | 800 | 5 | 2.135776000000e-6 |
This table shows sample inputs and the resulting gravitational force using the standard gravitational constant.
Main equation: F = G × m1 × m2 ÷ r²
Solve first mass: m1 = F × r² ÷ (G × m2)
Solve second mass: m2 = F × r² ÷ (G × m1)
Solve distance: r = √(G × m1 × m2 ÷ F)
Solve constant: G = F × r² ÷ (m1 × m2)
The standard value of G is 6.67430 × 10-11 N·m²/kg².
This gravitational law calculator helps you analyze force between two masses. It follows Newton’s law of universal gravitation. The tool can solve force, mass, distance, or the gravitational constant. That makes it useful for schoolwork, lab preparation, and quick physics checks. You can also switch units without doing separate conversion steps by hand.
Gravity depends on mass and separation distance. Larger masses create a stronger pull. Greater distance reduces the pull fast. The reduction follows an inverse square pattern. If distance doubles, gravitational force becomes four times smaller. This relationship is central in mechanics, astronomy, and orbital motion. It also explains why spacing matters in every gravity problem.
Students often need more than one output. Sometimes the force is unknown. In other cases, a mass or distance must be found. This page supports those inverse calculations directly. That saves time and reduces algebra mistakes. It also helps when checking homework answers or building practice examples for exams.
Physics problems use many unit systems. Mass may appear in kilograms, grams, tonnes, or pounds. Distance may appear in meters, kilometers, centimeters, millimeters, or feet. Force may appear in newtons, kilonewtons, millinewtons, or pound-force. The calculator converts everything to SI units first. That keeps the gravitational equation consistent and dependable.
The CSV export is useful for records and reports. The PDF export is helpful for printing or sharing results. The example data table shows how sample values behave. That gives quick reference for comparison. The formula section also explains each rearranged equation. Combined together, these features make the tool practical for regular physics study.
Use this page for gravity practice, classroom examples, engineering estimates, and basic science review. It is best for point-mass style calculations. Keep all inputs positive and realistic. For very large systems, always check assumptions. A clean setup, consistent units, and correct formulas will produce better gravitational analysis.
It computes gravitational force or solves for one unknown variable. You can find force, first mass, second mass, distance, or the gravitational constant from the same equation.
It uses Newton’s gravitational equation: F = G × m1 × m2 ÷ r². The page also rearranges that formula to solve for mass, distance, or G.
Gravity follows an inverse square relationship. When distance increases, force drops rapidly. That is why small spacing changes can produce large differences in the result.
Yes. The calculator supports several mass, distance, and force units. It converts them internally to SI units before applying the equation.
Use 6.67430 × 10^-11 N·m²/kg² for standard work. You may change it if your exercise or lab uses a measured or rounded value.
Solve for distance when force is known and both masses are known. This is useful in inverse problems, verification work, and experimental comparisons.
CSV helps you save structured result data for spreadsheets. PDF helps you store or print a clean summary of the same calculation result.
Yes. It supports inverse solving, unit conversion, custom precision, scientific notation, and result export. Those features make it practical for more advanced classroom and revision work.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.