Question

What will be the dimensional formula for mass if we choose length L, time T, and force F and fundamental quantities?

Answer 1

F=ma
so,a=F/m

dimensional formula of F will be F (given)
dimensional formula of a is [L T ^-2]
so D.F of mass will be [F]/[L T^-2]

so the answer is [F L^-1 T ^2]

have a good day mate!

Answer 2

Force = F

Mass = m

Acceleration = a

F = ma

m = F / a

acceleration :

=> Length / Time² = L / T² = L T^-2

m = F/ L T^-2

m = F L^-1 T^2

Dimensional formula becomes :

$m = F \: L {}^{ - 1} T {}^{2}$