Prob 3: A five-gallon bucket nearly filled with water weighs 40 lbs. The initial depth of the water in the bucket is 12 inches. A 2-inch diameter plug is suddenly removed from the bottom of the bucket. A brief transient behavior occurs to establish flow but before a significant decrease in water level occurs you may assume a quasi-steady flow situation exists as water drains straight down out of the bucket. What does the draining bucket and water weigh?

= Water flows into a tank and out through another pipe, as shown in the figure below. The water in the tank has a surface area, Asur f 5.6 m². At the bottom of the tank there is a door inclined at an angle = 25 degrees with respect to the horizontal. The door has a length L = 1.1 m and a width w=1 m (out of the page). The flowrate into the tank is Q₁ (t) flowrate out is Qo(t) = 0.05 m³/s At time t = Asurf = 0.26 m³/s and the 0, the water has a depth ho = 2.5 m. The density of water is p = 1000 kg/m³. Ө h(t) Qout

A ship displaces 4000 cubic feet of sea water. Find the volume of water that the ship will displace in fresh water

A tidal barrage is in the shape of a quarter cylinder of radius r=16m, as shown in the picture above. If the barrage is 13m wide and holds back water of density 1014kg/m³ to its full height, what is the magnitude of the vertical force on the barrage? Assume that the atmospheric pressure is constant. Give your answer in Kilo Newtons to the nearest whole number. Use an acceleration due to gravity of g=9.81m/s²

State Pascal’s principle and give one application of the principle. An object is dropped into a beaker of water. Two forces are operating on the object viz. the weight of object and the buoyant force FB due to the fluid. Explain, in terms of the forces when the object. a.)  Sinks to the bottom of the beaker      b.)Floats in the water A hydraulic press for compacting powdered samples has a large cylinder with a diameter of 10.0 cm and a small cylinder of diameter 2.0 cm. If a force of 350 N is applied to the small cylinder, what will be the force exerted by the fluid on the large cylinder? Be consistent with your units.