Textbook Problems: 5) (a) A rectangular gasoline tank can hold 50.0 kg of gasoline when full. What is the depth of the tank if it is 0.500-m wide by 0.900-m long? (b) Discuss whether this gas tank has a reasonable volume for a passenger car. (Note that gasoline is called "petrol" in Table 11.1.) (a: 0.163 m; b: ---) 6) As a woman walks, her entire weight is momentarily placed on one heel of her high-heeled shoes. Calculate the pressure exerted on the floor by the heel if it has an area of 1.50 cm2 and the woman's mass is 55.0 kg. Express the pressure in Pa. (3.59*105 Pa) 7) The greatest ocean depths on the Earth are found in the Mariana Trench near the Philippines. Calculate the pressure due to the ocean at the bottom of this trench, given its depth is 11.0 km and assuming the density of seawater is constant all the way down. Express your answer in both Pa and atm. (The density of seawater is 1.025 g/mL.) (1.10*10# Pa and 1090 atm) 8) Show that the total force on a rectangular dam due to the water behind it increases with the square of the water depth. In particular, show that this force is given by F=gh2L/2, where is the density of water, h is its depth at the dam, and L is the length of the dam. You may assume the face of the dam is vertical (see diagram at right). Hint: Calculate the average pressure exerted and multiply this by the area in contact with the water. (F= 1 gh L) 9) What force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2000-kg car (a large car) resting on the lift? The master cylinder has a 2.00-cm diameter and the lift's cylinder has a 24.0-cm diameter. (136 N)11) Assuming bicycle tires are perfectly flexible and support the weight of bicycle and rider by pressure alone, calculate the total area of the tires in contact with the ground. The bicycle plus rider has a mass of 80.0 kg, and the gauge pressure in the tires is 35.0 X 10 Pa. (22.4 cm?)Conceptual Problems: 1) How is pressure related to the sharpness of a knife and its ability to cut? 2) Atmospheric pressure exerts a large force (equal to the weight of the atmosphere above your body- about 10 tons) on the top of your body when you are lying on the beach sunbathing. Why are you able to get up