Numford

SI base quantitiesClass 11, Units and Measurements

Dimensional formula of Mass

[M]

Symbolm SI unitkilogram (kg)

The SI base quantity for the amount of matter. Mass has the same dimension in every formula, weight does not.

Derivation

How to get the dimensional formula of mass

  1. Mass is one of the seven SI base quantities, so its dimension is written directly: [M].
Same dimensions

Quantities with the dimensions [M]

Equal dimensions do not make them the same quantity. Compare mass with the others in the full grid.

Practice

Three questions on mass

1Which of these has the same dimensions as mass?

2What is the SI unit of mass?

3Which one has different dimensions from the others?

Try it

An equation that uses mass

Equation checker

Matching dimensions are necessary, not sufficient. A check cannot see pure numbers such as 1/2 or 2π, so a consistent equation can still be wrong.

Read asE = m c2
E[M L2 T-2]mc2[M L2 T-2]
Dimensionally consistentEvery term is [M L2 T-2]
Questions

Mass: quick answers

What is the dimensional formula of mass?

The dimensional formula of mass is [M]. It is one of the seven SI base quantities.

What is the SI unit of mass?

The SI unit of mass is the kilogram (kg).

Which quantities have the same dimensions as mass?

Mass shares [M] with electron mass, atomic mass unit. Equal dimensions do not make them the same quantity.

Open the dimensional formula tool