Question

If the present units of length, time and mass (m, s, kg) are changed to $100$m, $100$s, and $\frac{1}{10}$kg, then how will the new unit of force change?

Answer 1

Force (unit) $=N=kg.{ms}^{-2}$

$N^1=\frac{kg}{10}\times 100m\times {\left(100\right)}^{-2}S$

$=kg.{ms}^{-2}\times {10}^{-3}$

$\therefore$ $\frac{N^1}{N}={10}^{-3}\Rightarrow N^1=\frac{{10}^{-3}}{N}$