Question

. If the force (F), acceleration (A), and time (T) are taken as fundamental Units,

then find the dimensions of energy.

Answer 1

M^1*L^2*T^-2 mM is mass L is length And T is Time

Answer 2

[ F ] = [ M ] [ L ] [ T ]⁻²

[ A ] = [ L ] [ T ]⁻²

T = T

Energy = Work = Force * displacement

= [ M ] [ L ]² [ T ]⁻² = [ F ]^a [ A ]^b [ T ]^c

Power of [ M ] = 1 => a = 1

power of [ L ] = a+b = 2 => b = 1

Power of [ T ] = -2 = -2a -2b + c => c = 2

So energy = [ F ] [ A ] [ T ]²