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) ] [(1 m)/( 1cm)]^(-2) [ (1s)/( 1s) ]^(-2) ((n_2)/(n_1) = n)`
`rArr n= [ (1000g)/( 1g) ] [ (100 cm)/( 1cm ) ]^(2) [(1s)/( 1s) ]^(-2) `
`rArr n= [1000] xx [ 100]^(2) xx [1]^(2) = 10^(7)`
`therefore 1 "joule" = 10^(7) "ergs"`