If force (F) velocity (υ) and time (T) are taken as fundamental units, then the dimensions of mass are |
[Fv$T^{−1}$] [Fv$T^{−2}$] [F$v^{−1}T^{−1}$] [F$v^{−1}$T] |
[F$v^{−1}$T] |
Since F=ma ⇒F=m$\frac{v}{t}$ ⇒m=F$\frac{t}{v}$ [M]=[F][T][$v^{-1}$]=[F$v^{−1}$T] |