Question

if force F velocity V and torque be taken as fundamental quantities then the dimension of the mass is

Answer 1

Force = M L (T^-2) [mass time acceleration]

Velocity= L (T^-1)

Time = T

Here M represents mass, L representing length or displacement, T representing time, 3 of the original fundamental quantities. Using these the dimension of work is

M (L^2) (T^-2) [force * displacement]

We can get this using above quantities as

{ M L (T^-2)} * { L (T^-1)} * {T} which is

Force * Velocity * Time