What is the dimensional formula of work?

The dimensional formula of work is [M L² T⁻²], which comes from work = force × displacement.

Dimensional formula of work

The SI unit of work is joule (J).

Work

[M L² T⁻²]

Written in full: [M¹ L² T⁻² A⁰ K⁰]

Work = Force × Displacement

Put in the dimensions of each part: [MLT⁻²] × [L] = [M L² T⁻²].

The SI unit of work is joule (J).

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

Quantity	Formula
Power	[M L² T⁻³]
Energy density	[M L⁻¹ T⁻²]