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 `implies n= J//` ergs
`therefore n_2 = n_1 [(M_1)/(M_2)]^1 [(L_1)/(L_2)]^2 [(T_1)/(T_2)]^(-2)`
`implies n= [(1kg )/(1g)] [(1m)/(1cm)]^2 [(1s)/(1s)]^(-2) implies n = [(1000g)/(1g)][(100cm)/(1 cm)]^2 [(1s)/(1s)]^(-2)`
`implies n = [ 1000] xx [ 100]^2 x[1]^2 implies n = 10^3 xx 10^4 = 10^7`
`therefore n = 10^7 therefore 1 ` joule `=10^7` erg