force \(=\left[\mathrm{ML} T^{-2}\right]\)

energy \(=\left[\mathrm{ML}^{2} \mathrm{T}^{-2}\right]\)

velocity \(=\left[\mathrm{L} T^{-1}\right]\)

Thus We have

\(\left[\mathrm{ML} T^{-2}\right]=10 \mathrm{N} \ldots \ldots . .(\mathrm{i})\)

\(\left[\mathrm{ML}^{2} \mathrm{T}^{-2}\right]=100 \mathrm{J} \ldots . .(\mathrm{ii})\)

\([\mathrm{LT}-1]=5 \mathrm{ms}^{-1} \ldots \ldots .\) (iii)

and

Dividing equation (ii) by eq.(i) ,we have

\([\mathrm{L}]=100 \mathrm{J} / 1 \mathrm{0N}=10 \mathrm{0Nm} / 1 \mathrm{0N}=1 \mathrm{0m}\)

Substituting the unit of \([\mathrm{L}]\) in eq. (iii) \(,\) we have

\([\mathrm{T}]=10 \mathrm{m} / 5 \mathrm{ms}^{-1}=2 \mathrm{s}\)

Substituting the units of \([\mathrm{L}]\) and \([\mathrm{T}]\) in eq.( i) we have

\([\mathrm{M}]=10 \mathrm{N} /[\mathrm{L}]\left[\mathrm{T}^{-2}\right]=10 \mathrm{N} \times 4 \mathrm{s}^{2} / 10 \mathrm{m}=4 \mathrm{kg}\)