Problem #1 5.0 L/s water flows through a horizontal pipe that narrows smoothly from 10.0 cm diameter to 5.0 cm diameter. A pressure gauge in the narrow section reads 50 kPa. What is the reading of the pressure gauge in the wide section? Problem #2 A 3.0 mm inner diameter 10 cm long tube attached horizontally to a small hole in the side of tall water reservoir. The reservoir is constantly refilled with 20C water, keeping the water level 45 cm above the hole, constant. What volume water flow through the tube per minute? Problem #3 Styrofoam has a density of 150 kg/m. What is the maximum mass that can hang without sinking from a 50 cm diameter Styrofoam sphere in water? Assume the volume of the mass is negligible compared to that of the sphere.