Formulas & tables/Physics/Gravitation/Weight (gravitational force)

Weight (gravitational force)

F=mgF = mg

Result unit: N

What it describes

Weight is the force with which a celestial body attracts a mass m. Do not confuse it with mass — mass is constant, weight depends on g.

Symbols

FF
weight (gravitational force)
[N]
mm
mass of the body
[kg]
gg
gravitational acceleration
[m/s²]

Where it comes from

It follows directly from Newton's second law: force = mass × acceleration, where the acceleration is the g of the given body.

When to use it

When you compute a normal (contact) force, the tension in a rope or a scale reading — on Earth or on another celestial body.

Example

What is the weight of 80 kg on the Moon (g=1.62)?
SubstitutionF = 80·1.62
ResultF ≈ 130 N (on Earth ≈ 785 N).

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