Taking force, length and time to be fundamental quantities find the dimensions of

a) Density $=\frac{\text { mass }}{\text { volume }}=\frac{\frac{\text { jurcelenration }}{\text { volume }}}{\text { volum }}=\left[\mathrm{F} / \mathrm{LT}^{-2}\right]\left[\mathrm{L}^{3}\right]=\left[\mathrm{FL}^{-4} \mathrm{~T}^{-2}\right]$

b) Pressure $=\frac{\text { force/area }}{\text { force }}=[\mathrm{F}]\left[\mathrm{L}^{2}\right]=\left[\mathrm{FL}^{-2}\right]$

c) Momentum $=\frac{\text { force }}{\text { accelenation }} \times$ velocity $=[\mathrm{F}] /\left[\mathrm{LT}^{-2}\right] \times\left[\mathrm{LT}^{-1}\right]=[\mathrm{FT}]$

d) Energy $==\frac{\text { force }}{\text { acceleration }} \times(\text { velocity })^{2}=[\mathrm{F}] /\left[\mathrm{LT}^{-2}\right] \times\left[\mathrm{L}^{2} \mathrm{~T}^{-2}\right]=[\mathrm{FL}]$