A liquid of density ρ fills a container to a depth h, as shown in Fig. 2.1. [Figure 2.1] The base of the container has area A. (c) The liquid in the container is liquid L. Liquid M is now added to the container. The two liquids do not mix. The total depth of the liquids is 0.17 m. Fig. 2.2 shows how the pressure p inside the liquids varies with height x above the base of the container. [Figure 2.2] Use Fig. 2.2 to

1. (a)Derive, from the definitions of pressure and density, the equation p = ρgh where p is the pressure exerted by the liquid on the base of the container and g is the acceleration of free fall.[3]
2. (b)(i)State 1. the names of the three forces acting on the sphere, 2. a word equation that relates the magnitudes of these forces.[2]
3. (b)(ii)State and explain the changes in energy that occur as the sphere falls.[2]
4. (c)(i)state the value of atmospheric pressure, atmospheric pressure = _______________ Pa[1]
5. (c)(ii)determine the density of liquid M. density = _______________ kgm⁻³[2]

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