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Q.
In a certain system, the units of length, mass and time are chosen to be $1\, cm$, $100\, g$ and $10\, s$. The unit of kinetic energy will be
Physical World, Units and Measurements
Solution:
Kinetic energy $=\frac{1}{2}mv^{2}$
Unit of kinetic energy
$=\left(Mass\right)\left(\frac{Length}{Time}\right)^2=\left(100\,g\right)\left(\frac{1\,cm}{10\,s}\right)^{2}$
$=1\,g\,cm^{2}\,s^{-2}=1\,erg$