Question

if length L force F and time T are taken as fundamemtal quntities. What would the dimensional equation of mass and density

Answer 1

F = ma
m = F/a

[M] = [F]/[LT-1]

[M] = [FL-1T]


Density = Mass/Volume
[Density] = [FL-1T]/[L3]

[Density] = [FL-4T]

Answer 2

F=Ma, a=v/T, v=L/T

So M=(F$T^{2}$)/L

Density= mass/volume

volume = L³

density =[(F$T^{2}$)/L]/ L³