Dimensional formula of force

Force

[M L T⁻²]

Written in full: [M¹ L¹ T⁻² A⁰ K⁰]

How to derive it

Force = Mass × Acceleration

Put in the dimensions of each part: [M] × [LT⁻²] = [M L T⁻²].

mass (M): 1
length (L): 1
time (T): -2
current (A): 0
temperature (K): 0

SI unit

The SI unit of force is newton (N).

Same dimensions as force

None of the other quantities on this site share these exact dimensions.

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More from Laws of motion

Quantity	Formula
Momentum	[M L T⁻¹]
Impulse	[M L T⁻¹]