A robotic monitoring capsule is floating on the surface of a deep salt-lake and is stationary.
Add two labelled arrows to the diagram to show the vertical forces acting on the capsule.
The capsule is then lowered to perform its monitoring mission. It descends to a depth of 65 m below the surface of the lake.
State the equation linking pressure difference, depth (height), density and ggg.
The density of the lake water is 1040 kg/m3. Show that the pressure difference from the surface is about 676 kPa when the capsule is at a depth of 65 m (use g=10 N/kgg = 10\text{ N/kg}g=10 N/kg).
A small pocket of air is trapped inside an open exterior compartment of the capsule as it is lowered.
Air at the surface of the lake has a pressure of 104 kPa.
Calculate the total pressure of the trapped air at a depth of 65 m below the surface.
The volume of the trapped air is 15.0 m3 when the capsule is at the surface of the lake.
Calculate the volume of the trapped air at a depth of 65 m below the surface, assuming the temperature of the air remains constant.
