Convert the unit of work done from MKS system to CGS system (i.e.,joule )

Explanation

Dimensional formula of energy is `M^(1)L^(2)T^(-2)`
Let IJ=n ergs rArr n =J/ergs
`:. N_(2)=n_(1)[M_(1)/M_(2)]^(1) [L_(1)/L_(2)]^(-2) [T_(1)/T_(2)]^(-2)`
`rArrn=[(1kg)/(1g)] [(1m)/(1cm)]^(2)[(1s)/(1s)]^(-2) rArrn=[(1000g)/(1g]][(100cm)/(1cm)]^(2)[(1s)/(1s)]^(-2)`
`rArrn=[1000]xx[100]^(2)xx[1]^(2) rArr n= 10^(3)xx10^(4)=10^(7)`
`:.n=10^(7) :. 1 "joule" =10^(7)erg`