A woman is draining her fish tank by siphoning the water into an outdoor drain, as shown in Figure P14.74. The rectangular tank has footprint area A and depth h. The drain is located a distance d below the surface of the water in the tank, where d >> h. The cross-sectional area of the siphon tube is A’. Model the water as flowing without friction. (a) Show that the time interval required to empty the tank is given by (b) Evaluate the time interval required to empty the tank if it is a cube 0.500 m on each edge, if A’ = 2.00 cm2, and d = 10.0 m.

A cube of wood having an edge dimension of 18.7 cm and a density of 651 kg/m° floats on water. (a) What is the distance from the horizontal top surface of the cube to the water level? cm (b) What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface? kg

A water tower is a familiar sight in many towns. The purpose of such a tower is to provide storage capacity and to provide sufficient pressure in the pipes that deliver the water to customers. The drawing shows a spherical reservoir that contains 5.23 x 105 kg of water when full. The reservoir is vented to the atmosphere at the top. For a full reservoir, find the gauge pressure that the water has at the faucet in (a) house A and (b) house B. Ignore the diameter of the delivery pipes. Vent B 15.0 m Faucet 7.30 m Faucet- (a) Number i Units (b) Number i Units >

In the figure, the fresh water behind a reservoir dam has depth D = 14.0 m. A horizontal pipe 3.51 cm in diameter passes through the dam at depth d= 5.62 m. A plug secures the pipe opening. (a) Find the magnitude of the frictional force between plug and pipe wall. (b) The plug is removed. What water volume exits the pipe in 2.00 h? (a) Number (b) Number Units Units

Water flows from a fire truck through a hose that is 11.7 cm in diameter and has a nozzle that is 2.0 cm in diameter. The firemen stand on a hill 3.0 m above the level of the truck. When the water leaves the nozzle, it has a speed of 20.0 m/s. 1) Determine the minimum gauge pressure in the truck's water tank. (Express your answer to two significant figures.) Pa Submit

A cylindrical bucket, open at the top, is 35.0cm high and 9.0cm in diameter. A circular hole with a cross-sectional area 1.75cm^2 is cut in the center of the bottom of the bucket. Water flows into the bucket from a tube above it at the mtc of 3.20x10-4 m3/s. How high will the water in the bucket rise?

A water tower is a familiar sight in many towns. The purpose of such a tower is to provide storage capacity and to provide sufficient pressure in the pipes that deliver the water to customers. The drawing shows a spherical reservoir that contains 3.95 x 105 kg of water when full. The reservoir is vented to the atmosphere at the top. For a full reservoir, find the gauge pressure that the water has at the faucet in (a) house A and (b) house B. Ignore the diameter of the delivery pipes. B GO Faucet 7.30 m Vent- 15.0 m Faucet

Suppose you have a 8.8 cm diameter fire hose with a 3.6 cm diameter nozzle. a) Calculate the pressure drop due to the Bernoulli effect as water enters the nozzle from the hose at the rate of 40.0 L/s. Take 1.00 × 103 kg/m3 for the density of the water. b) To what maximum height, in meters, above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.

In the figure, the fresh water behind a reservoir dam has depth D-13.4 m. A horizontal pipe 4.39 cm in diameter passes through the dam at depth d - 6.37 m. A plug secures the pipe opening. (a) Find the magnitude of the frictional force between plug and pipe wall. (b) The plug is removed. What water volume exits the pipe in 2.92 h? (a) Number (b) Number Units Units N m3

A typical pressure in a vein is 18 mm Hg. How high would you need to hang an IV bag so that the fluid enters the blood stream at this pressure? Assume the IV fluid has a density of 1000 kg/m3.     A nozzle with an area of 0.3 cm2 is attached to a garden hose with an area of 1.5 cm2. The flow rate through the nozzle is 0.12 L/s.What is the speed of the water in the hose in cm/s? (1 L= 1000 cm3) What is the speed of the water in the nozzle in cm/s? (1 L= 1000 cm3)