Question

if the force F acceleration A and time T are taken as fundamental units then find the dimensions of energy

Answer 1

Answer:

In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units, then the dimensional formula of energy will become `[FAT^(x//3)]`.

Explanation:

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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