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
`therefore n_(2)= n_(1) [(M_(1))/(M_(2))]^(1) [(L_(1))/(L_(2))]^(2) [(T_(1))/(T_(2))]^(-2)`
`rArr n =[(1kg)/(1g)] [(1m)/(1cm)]^(2) [(1s)/(1s)]^(-2) ((n_(2))/(n_(1))=n)`
`rArr n= [(1000g)/(1g)] [(100cm)/(1cm)]^(2) [(1s)/(1s)]^(-2)`
`rArr n= [1000] xx [100]^(2) xx[1]^(2)= 10^(7)`
`therefore` 1 joule `=10^(7)` ergs