Exam 11: Fluids

A child wants to pump up a bicycle tire so that its pressure is 1.2 × 10⁵ Pa above that of atmospheric pressure.If the child uses a pump with a circular piston 0.035 m in diameter,what force must the child exert?

Using the value of atmospheric pressure at sea level,1 × 10⁵ Pa,estimate the total mass of the earth's atmosphere above a 5-m² area.

Water is flowing through a rectangular channel that is 12 m wide with a speed of 0.75 m/s.The water then flows into four identical rectangular channels that have a width of 3.0 m.The depth of the water does not change as it flows into the four channels.What is the speed of the water in one of the smaller channels?

Which one of the following statements concerning the buoyant force on an object submerged in a liquid is true?

When a block of volume 1.00 × 10^-³ m³ is hung from a spring scale as shown in Figure A,the scale reads 10.0 N.When the same block is then placed in an unknown liquid,it floats with 2/3 of its volume submerged as suggested in Figure B.The density of water is 1.00 × 10³ kg/m³. -Determine the mass of the block.

A glass tube has several different cross-sectional areas with the values indicated in the figure.A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s.Three points within the tube are labeled A,B,and C. Notes: The drawing is not drawn to scale. Atmospheric pressure is 1.01 × 10⁵ N/m²;and the density of mercury is 13 600 kg/m³. -At what speed is mercury flowing past the point labeled A?

At standard temperature and pressure,carbon dioxide has a density of 1.98 kg/m³.What volume does 1.70 kg of carbon dioxide occupy at standard temperature and pressure?

Selena uses a garden hose to fill a bucket of water.The water enters the hose through a faucet with a 6.0-cm diameter.The speed of the water at the faucet is 5 m/s.If the faucet and the nozzle are at the same height,and the water leaves the nozzle with a speed of 20 m/s,what is the diameter of the nozzle?

Three blocks,labeled A,B,and C,are floating in water as shown in the drawing.Blocks A and B have the same mass and volume.Block C has the same volume,but is submerged to a greater depth than the other two blocks.Which one of the following statements concerning this situation is false?

An in-ground swimming pool has the dimensions shown in the drawing.It is filled with water to a uniform depth of 3.00 m. The density of water = 1.00 × 10³ kg/m³. -What is the total pressure exerted on the bottom of the swimming pool?

One of the largest barometers ever built was an oil-filled barometer constructed in Leicester,England in 1991.The oil had a height of 12.2 m.Assuming a pressure of 1.013 × 10⁵ Pa,what was the density of the oil used in the barometer?

The density of ice is 0.92 g/cm³;and the density of seawater is 1.03 g/cm³.A large iceberg floats in Arctic waters.What fraction of the volume of the iceberg is exposed?

How much force does the atmosphere exert on one side of a vertical wall 4.00-m high and 10.0-m long?

The figure shows two fish tanks,each having ends of width 1 foot.Tank A is 3 feet long while tank B is 6 feet long.Both tanks are filled with 1 foot of water. Using the notation given above,which one of the following sets of equations below is correct for this situation?

A large tank is filled with water to a depth of 15 m.A spout located 10.0 m above the bottom of the tank is then opened as shown in the drawing.With what speed will water emerge from the spout?

A column of oil of height 70.0 cm supports a column of an unknown liquid as suggested in the figure (not drawn to scale).Assume that both liquids are at rest and that the density of the oil is 840 kg/m³.Determine the density of the unknown liquid.

A force of 250 N is applied to a hydraulic jack piston that is 0.02 m in diameter.If the piston that supports the load has a diameter of 0.15 m,approximately how much mass can be lifted by the jack? Ignore any difference in height between the pistons.

The density of mercury is 1.36 × 10⁴ kg/m³.What is the mass of a 2.16 × 10^-⁴ m³ sample of mercury?

In a classroom demonstration,a 79.2-kg physics professor lies on a "bed of nails." The bed consists of a large number of evenly spaced,relatively sharp nails mounted in a board so that the points extend vertically outward from the board.While the professor is lying down,approximately 1950 nails make contact with his body. -What is the average force exerted by each nail on the professor's body?

A curtain hangs straight down in front of an open window.A sudden gust of wind blows past the window;and the curtain is pulled out of the window.Which law,principle,or equation can be used to explain this movement of the curtain?