Physics 9702 · AS & A Level · Density and pressure

Density and pressure — practice question

(a)[3]

Fig. 2.1 shows a liquid in a cylindrical container. The container has cross-sectional area $A$. The liquid column has height $h$ and the liquid density is $\rho$. Show that the pressure $p$ exerted by the liquid on the cylinder base is $p = \rho g h$.

(b(i))[1]

Explain why the graph line in Fig. 2.2 does not go through the origin $(0,0)$.

(b(ii))[2]

Use the information in Fig. 2.2 to calculate the density of the liquid in the cylinder.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Pressure is given by $p = \frac{F}{A}$.

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