In fluid mechanics, the pressure p p\,p at a depth h h\,h in a stationary fluid of uniform density ρ \rho\,ρ is given by p=ρghp = \rho g hp=ρgh, where g g\,g is the acceleration due to gravity.
What are the SI base units of the pressure gradient with respect to depth, dpdh\displaystyle \frac{\text{d}p}{\text{d}h}dhdp?
kg m−1 s−2\text{kg}\,\text{m}^{-1}\,\text{s}^{-2}kgm−1s−2
kg m−2 s−2\text{kg}\,\text{m}^{-2}\,\text{s}^{-2}kgm−2s−2
kg m−3 s−2\text{kg}\,\text{m}^{-3}\,\text{s}^{-2}kgm−3s−2
kg m−2 s−1\text{kg}\,\text{m}^{-2}\,\text{s}^{-1}kgm−2s−1
54 exam-style questions on Edexcel GCSE Physics 15.2 Pressure in fluids, covering 15.2.1 Atmospheric pressure and height, 15.2.2 Pressure in fluids, 15.2.3 Pressure, force and area, 15.2.4 Pressure and depth, 15.2.5 Pressure in liquids: depth and density, 15.2.6 Upthrust, and 15.2.7 Floating and sinking. Each one has a worked solution and a mark scheme showing where the marks go.