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Space & Astronomy · No. 206 of the first 100

How does gravity actually work?

The most famous force is also the weakest and the strangest: everything pulls on everything, including you on the Earth.

Plate 36 — The inverse square F = G·m₁m₂/r² · always mutual
Drag the masses together and watch the arrows quadruple as the gap halves.
r = 5.063drag us ⟷F = G · m₁m₂ / r²both arrows are always the same length — the Earth pulls you, you pull the Earth
PLATE 36 · THE INVERSE SQUARE
Mass one 6 units
Mass two 3 units
Pull (each way)
15.0units
At double this distance
3.7units
Everything pulls on everything — you're pulling on this screen right now. Drag the balls closer and watch the arrows grow fast: halve the gap, four times the pull. And notice the two arrows always match. The Earth pulls you down, and you pull the Earth up exactly as hard. The Earth just minds it less.
The short answer

Every bit of stuff pulls on every other bit of stuff. Big things pull harder, and close things pull much harder — get twice as close and the pull is four times stronger. You only notice the Earth's pull because the Earth is enormous; your pull on the Earth is real too, just tiny by comparison.

What's actually happening

Start with the part nobody tells you: gravity is absurdly weak. A toy fridge magnet — something you can buy for a pound — beats the gravitational pull of the entire planet in a tug-of-war over a paperclip. Two people sitting a metre apart attract each other with roughly the weight of a grain of sand. The only reason gravity dominates your life is that the Earth has six trillion trillion kilograms to throw at the problem, and unlike magnetism, gravity never cancels out: every kilogram only ever adds.

Newton's law packs the whole behaviour into one line: the force grows with both masses multiplied, and shrinks with the square of the distance between them. That inverse square is the part the simulator makes visible — drag the masses to half the gap and the arrows quadruple. And the arrows always match: the Earth pulls you down with exactly the force you pull the Earth up. When you jump, the planet recoils — by about a trillionth of a trillionth of a metre, which is why the planet seems unbothered.

Two centuries later Einstein asked the awkward question Newton had dodged: how does the Earth "know" the Moon is there to pull on? His answer rebuilt the whole picture — mass doesn't reach out and grab things; it bends spacetime around itself, and things simply follow the straightest path available through the bent geometry. Falling, in this picture, isn't a force acting on you at all, which is why astronauts in free fall feel nothing. For everything on this page, though, Newton's simple law gets the right answer — NASA still flies missions on it.

Try it at home Beat the planet with a magnet
  1. 1Put a paperclip on the table. The entire Earth — all 5,972,000,000,000,000,000,000,000 kg of it — is pulling it down.
  2. 2Bring a fridge magnet close. The clip jumps up.
  3. 3Sit with that: a thumb-sized magnet just out-pulled a planet. Gravity wins wars by mass, never by strength.