12. [-/10 Points] DETAILS SERPSE10 14.4.OP.019.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER How many cubic meters of helium are required to lift a light balloon with a 386-kg payload to a height of 7,992 m? Take PHe = 0.179 kg/m". Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression Pair = poe-2/8,000, where z is in meters and po = 1.20 kg/mis the density of air at sea level. m3 Need Help? Read It Master It 13. [-/9.99999999999999 Points] DETAILS SERPSE10 14.6.OP.020.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A large storage tank, open at the top and filled with water, develops a small hole in its side at a point 15.4 m below the water level. The rate of flow from the leak is found to be 3.00 x 10- m /min. (a) Determine the speed (in m/s) at which the water leaves the hole. m/s (b) Determine the diameter of the hole (in mm). mm ) What If? If the hole is 10.0 m above the ground and the water is projected horizontally from the hole, how far (in m) from the base of the tank would a bucket have to be initially placed to catch the water from the leak? m Need Help? Read It Master It 14. [-/10 Points] DETAILS SERPSE10 14.6.OP.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Ethanol with a density of 789 kg/m moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is P, = 1.90 x 10" Pa, and the pipe diameter is 5.00 cm. At another point y = 0.30 m higher, the pressure is P2 = 1.30 x 104 Pa and the pipe diameter is 2.50 cm. (a) Find the speed of flow (in m/s) in the lower section. m/s (b) Find the speed of flow (in m/s) in the upper section. m/s (c) Find the volume flow rate (in m /s) through the pipe. m /s Need Help? Read It15. [-/10 Points] DETAILS SERPSE10 14.6.P.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A legendary Dutch boy saved Holland by plugging a hole in a dike with his finger, which is 1.25 cm in diameter. (a) If the hole was 1.40 m below the surface of the North Sea (density 1030 kg/m ), what was the force on his finger? (b) If he pulled his finger out of the hole, how long would it take the released water to fill 1 acre of land to a depth of 1 ft assuming the hole remained constant in size? (A typical U.S. family of four uses 1 acre-foot of water, 1234 m , in 1 year.) days Need Help? Read It 16. [-/10 Points] DETAILS SERPSE10 14.6.OP.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A filling station uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is p = 7.70 x 102 kg/m3, the inlet and outlet tubes, respectively, have a radius of 2.38 cm and 1.19 cm, and the difference in input and output pressure is P1 - P2 = 1.20 kPa. (a) Find the speed (in m/s) of the gasoline as it leaves the hose. m/s (b) Find the fluid flow rate in cubic meters per second. m3/s Need Help? Read It 17. [-/10 Points] DETAILS SERPSE10 14.8.P.031. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A siphon is used to drain water from a tank as illustrated below. Assume steady flow without friction. (a) If h = 1.13 m, find the speed of outflow at the end of the siphon. m/s (b) What is the limitation on the height of the top of the siphon above the end of the siphon? Note: For the flow of liquid to be continuous, its pressure must not drop below its vapor pressure. Assume the water is at 18C, at which the vapor pressure is 2.1 kPa. m Need Help? Read It