Question

derive the SI unit of joule in terms of fundamental units

Answer 1

Joules are a unit of energy. Work done is the energy applied to a system. Work done is given by the product of force and distant\[W=F\times d\] but F=mass x acceleartion thus \[W=ma\times d\]. Putting in units we \[J=Kg\frac{m}{s^2}m\]Thus in fundemntal units the Joule is \[\frac{Kg.m^2}{s^2}\]