(10%) Problem 5: A certain rigid aluminum container contains a liquid at a gauge pressure equal to Po = 2.02 105 Pa at sea level where the atmospheric pressure Pq = 1.01 105 Pa. The volume of the container is V0 = 3.2 10-4 m. The maximum difference between the pressure inside and outside the container that this particular container can withstand before bursting or imploding is AP = 2.3 105 Pa. 3 For this problem, assume that the density of air maintains a constant value of Q = 1.20 kg/m and that the density of seawater maintains a constant value of Q = 1025 kg/m. Randomized Variables AP = 2.3 105 Pa Vo=3.2 10-43 17% Part (a) The container is taken from sea level, where the pressure of air is P = 1.01 105 Pa, to a higher altitude. What is the maximum height h in meters above the ground that the container can be lifted before bursting? Neglect the changes in temperature and acceleration due to gravity with altitude. h = 28117.6 Grade Summary Deductions Potential 0% 100% sin() cotan() cos() asin() tan acos() ( 7 8 9 HOME E 4 5 6 atan() acotan() sinh() cosh() tanh() cotanh() Degrees Radians Submit 1 2 3 > Submissions Attempts remaining: 996 (0% per attempt) detailed view + - 0 END VO BACKSPA DEL CLEAR 1 2 Hint Feedback I give up! 3 Feedback: 0% deduction per feedback. Hints: 3 for a 0% deduction. Hints remaining: 0 -The change in pressure with altitude is related to the density, the change in height, and the acceleration due to gravity. -As the container is taken to higher altitudes, the pressure exerted by the atmosphere decreases. -There is an initial difference in pressure between the inside and outside of the container before the container is lifted. A 17% Part (b) If we include the decrease in the density of the air with increasing altitude, what will happen? A 17% Part (c) Choose the correct answer from the following options. A 17% Part (d) Choose the correct answer from the following options. A 17% Part (e) What is the maximum depth h in meters below the surface of the ocean that the container can be taken before imploding? A 17% Part (f) Choose the correct answer from the following options. 0% 0% 0%