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MotionLab
Every mass in the universe attracts every other mass — this formula tells you how strongly.
Gravity is by far the weakest of the four fundamental forces — it takes the entire mass of the Earth (5.97 × 10²⁴ kg) to hold you down, while a tiny fridge magnet easily overcomes that pull on a paperclip. Gravitational force becomes significant only when at least one mass is astronomical.
Doubling the distance between two objects cuts the gravitational force to one-quarter — this inverse-square relationship means gravity drops off quickly with distance but never fully reaches zero, which is why the Moon still feels Earth's pull from 384,000 km away.
Gravitational force (N)
687.367
F = Gm₁m₂ / r²
What you entered
F = G × m₁m₂ ÷ r²
6.674e-11 × 5.972e+24 × 70 ÷ 6371000²= 6.8737e+2 NResult
Gravitational force (N): 687.367
The gravitational force between masses of 5.972e+24 kg and 70 kg at 6371000 m apart is 687.367 N.