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Units of force

Beginner

One newton accelerates one kilogram at one metre per second squared.

Key relation1 N = 1 kg·m/s²

One newton gives 1 kg an acceleration of 1 m/s². Weight of an apple (~0.1 kg) is about 1 N. A kilogram-force is 9.8 N, an older unit.

Worked example

A 70 kg person weighs about 686 N.

Common mistake

Mass in grams must be converted to kg before using F = ma.

In more detail

The newton is the SI unit of force: one newton accelerates one kilogram at one metre per second squared. It is a derived unit built from base units.

Real-world uses

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Frequently asked questions

How many newtons is one kilogram of weight on Earth?

About 9.8 N, since weight equals mass times g.

Is a newton a unit of mass?

No. Mass is measured in kilograms, and force in newtons.

How heavy is one newton?

About the weight of a small apple, roughly 0.1 kg of mass on Earth.

Related topics in Newton's Laws & Forces

Newton's first law · Inertia · Newton's second law · Newton's third law · Weight and normal force · Free-body diagrams

← All Newton's Laws & Forces topics