Question

# If the unit of force were kilonewton, that of time millisecond and that of power kilowatt, what would be the units of mass in kg ?

Solution

## $$[F] = [MLT^{-2}]$$ and $$\displaystyle [P] = [ ML^2T^{-1}] \Rightarrow \frac {P} {F^2} = \frac {T^3} {M} \Rightarrow [M] = \frac {F^2T^3} {P}$$ Unit of mass = $$\displaystyle \frac {(10^3)^2 (10^{-3})^3 } {(10^3)}$$ = $$1kg$$Physics

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