Question

In an ancient civilization, the unit of length was half of meter, the unit of mass was double the kilogram and the unit of time was half of second. Find the ratio of their unit . of energy and Joule.

Answer 1

$n_{2} =n_{1}\left(\frac{M_{1}}{M_{2}}\right)^{1}\left(\frac{L_{1}}{L_{2}}\right)^{2}\left(\frac{T_{1}}{T_{2}}\right)^{-2}$
$=1 .\left(\frac{1 kg }{2 kg }\right)^{1}\left(\frac{1 m }{1 / 2 m }\right)^{2}\left(\frac{1 s }{1 / 2 s }\right)^{-2}$
$ n_{2} =1 .\left(\frac{1}{2}\right)=0.50$