Problem (20 Marks) A four seater, single engine (160.0 hp), seaplane is floating on the Swan River with 80.30% of the plane's total volume being above the surface of the water and the rest below. The plane is full and at its maximum allowable total mass of 2200. pounds. The density of air is 1.225 kg/m, it is also know that the standard reserve buoyancy (volume above surface) of the plane in freshwater (at 4'C) is 80.00%. a. b. What is the density of the seaplane in kg/m? (4 marks) What is the density of the water in the swan river in kg/m? Compare the calculated density to that of other river water and comment on what the calculated density indicates about the composition of the water in the Swan River. (4 marks) c. Estimate the total mass of the plane when it is empty assuming that the total baggage allowance is 12.0 kg per passenger, it has a fuel tank capacity of 2011. and the density of aviation fuel is 805 kg/m. (4 marks) d. The plane takes off and then starts heading towards Fremantle at a velocity of 59 m/s directly into the wind. If takes the plane a total of 7.25 minutes to complete the 16 km [relative to Earth) journey to Fremantle, what is the velocity of the wind? How long would the journey take it if there was no wind? (4 marks) e. If the engine is operating at 75% capacity while it makes the journey described in part d, what is the total energy consumed for the trip?