The two arms of a U-tube are not identical, one having 6 times the diameter of the other. A cork in the narrow arm requires a force of F1 = 79 N to remove it. The tube is filled with water and the wide arm is fitted with a piston with area A2. What is the minimum force, F2, that must be applied to the piston to push the cork out?

In the figure, the fresh water behind a reservoir dam has depth D = 15.5 m. A horizontal pipe 5.62 cm in diameter passes through the dam at depth d = 5.24 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 1.13 h?

The blood pressure is in a patient's vein is 2650 Pa. A needle 2.5cm long with an internal diameter of 0.76 mm is placed into the vein. A fluid with density of 1035 kg/m3 and a viscosity of 8.94 × 10–4 Pa.s is then passed into the needle from an IV drip bag. How long will a litre of the liquid take to flow into the vein if the drip bag is 0.56m above the needle?

A spherical metal shell has an outer radius of 15.0 cm and an inner radius of 14.0 cm. The density of the metal is 6000 kg/m3. What is the average density of the shell? Will this shell float when immersed in water? If yes, what fraction of the volume of the shell will be beneath the water’s surface?

Ella’s boyfriend would like to make a very romantic wedding proposal. He decides to propose in a hot air balloon. He and Ella go to the spot where the hot air balloon will lift off the ground. Ella, who has taken physics, decides to do a few calculations to make sure they will be safe. The average density of the heated gas that will go in the hot air balloon is 0.96 kg/m3 . The basket and the propane tank weigh 1800N. The balloon fabric weighs 800N. Ella has a mass of 50kg and her boyfriend ha a mass of 65kg. The density of air is 1.23kg/m3 . a) What must be the minimum volume of the balloon in order to lift Ella and her boyfriend off the ground? b) If the volume of the balloon is 3 times what you found in part a, what is the net force on the basket that Ella and her boyfriend are in ?

A rock, which weighs 1400 N in air, has an apparent weight of 900 N when submerged in fresh water (998 kg/m3). The volume of the rock is: O 0.14 m3 O 0.50 m3 O 0.90 m3 O 5.1 x 10-2 m³ O 9.2 x 10-2 m³

A garden hose with an internal diameter of 3.5 cm is connected to a (stationary) lawn sprinkler that consists merely of a container with 27 holes, each 0.27 cm in diameter. If the water in the hose has a speed of 0.89 m/s, at what speed does it leave the sprinkler holes?

An ideal fluid is flowing with a speed of 12 cm/s through a pipe of diameter 5 cm. The pipe splits into three smaller pipes, each with a diameter of 2 cm. What is the speed of the fluid in the smaller pipes?

! 7 7. The tank shown in the figure is very large and open to the atmosphere at the top. Find the speed of the liquid leaving the pipe at point (1) if the height h = 38.0 m. m/s A N @ 2 W S X H command w茶 3 If zee!! ZEE! 25 E D C C 4 R F V % G Search or type URL 2 5 10 111332 1332 jj1332 jj1332 jj1332 19 T G 6 B MacBook Pro Y 0 H & 7 1332 1332 j†13322261332 133 N U J * 00 8 1332 jj1332 jj1332 jj1332 jjl M - - jj1332 jj1332 jj1332 jj1332 jj12 → K ( O 9 V j1332 jj1332 1332 j H I < * O ) O L command 332 1332 P ^. A : ; option * { [ ? + = C } 1

In the process of loading a ship, a shipping container gets dropped into the water and sinks to the bottom of the harbor. Salvage experts plan to recover the container by attaching a spherical balloon to the container and inflating it with air pumped down from the surface. The dimensions of the container are 5.00 m long, 2.35 m wide, and 3.20 m high. As the crew pumps air into the balloon, its spherical shape increases and when the radius is 1.10 m, the shipping container just begins to rise toward the surface. Determine the mass of the container. You may ignore the weight of the balloon and the air in the balloon. The density of seawater is 1027 kg/m³. 434.54 X How does the weight of the container compare to the weight of the water displaced by the container and balloon when the container starts to rise? See if you can express the weight of the water displaced in terms of the density of the seawater and the dimensions of the container and balloon. kg Additional Materials