Q1. A diver is submerged 5.00 m below the surface of a freshwater (density = 999 kg/m3 ) lake. Draw a free body diagram of the diver in the water and calculate the absolute pressure where the diver is. Atmospheric pressure should be taken as 101,000 Pa.

Q2. Pressure is applied from a gas cylinder to one side of a U-tube manometer with constant internal diameter "D", as shown below. The manometer is filled with fresh water (density = 999 kg/m3 ) and upon application of the pressure, the water column on one side rises by 4.00 cm relative to the other. Draw and label a free-body diagram representing the forces in the manometer. Calculate the pressure above atmospheric pressure applied by the gas.

Q3. A platform of volume 1.00 x 105 m3 and density 927 kg/m3 floats in seawater (density = 1024 kg/m3 ). Draw and label a free body diagram representing the platform in the seawater. Calculate the volume of the platform that is above the water-line (i.e. not submerged).

Q4. A racing car is designed to produce down-force as it moves. Air is directed beneath the chassis and between the wheels as shown in the simplified diagram below. The cross-sectional area at the very front of the car is A0 = 0.0330 m2 and at the centre, it is A1 = 0.0310 m2 . The car moves forward at 30.0 m/s. Draw and label a free body diagram that includes the weight of the car, down-force and normal force. Calculate the difference in pressure between the air under the middle of the car (with cross-sectional area A2) and atmosphere. State whether the pressure under the car is higher or lower than atmospheric pressure. You can treat the air flow under the car as laminar and as though it occurs through a closed pipe that decreases in cross-sectional area.

In answering the following four questions, state all final values in SI units to the correct number of significant figures. Draw a diagram for every question, label as required and include coordinate axes. Clearly show the key equation for each question and in words, describe any principles you've used. The marking rubric for this assignment is available to view in Canvas