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Mendeleev · Physics

Universal gravitation

Newton’s law of universal gravitation gives the magnitude of the attraction between two point masses, or spherical masses treated from their centres.

Formula usedF = Gm₁m₂/r²
Visual cue · circular motion
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Universal gravitation

What do the symbols mean?

Fforce
mmass
Mcentral mass
rradius

Two worked examples

Example 1

A 1 kg mass at Earth’s surface is attracted with about 9.82 N using Earth’s mass and mean radius.

Example 2

Doubling the centre-to-centre distance divides gravitational force by four.

Good to knowDistance r is measured between centres of mass. The calculator uses the 2022 CODATA value of G.

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