Determine the dimensions of linear momentum.

Linear momentum is defined as the product of mass and velocity.

$p = m \times v$

The dimensional formula for mass is $[M]$.

The dimensional formula for velocity is $[LT^{-1}]$.

Substituting these dimensions, we get the dimensional formula for linear momentum:

$[p] = [M] \times [LT^{-1}] = [MLT^{-1}]$