Deck 11: Fluids

Question 1

11-1
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.
If the area of contact at the head of each nail is 1.26 × 10^-6 m², what is the average pressure at each contact?

A)1.58 × 10⁵ Pa
B)1.27 × 10⁶ Pa
C)2.40 × 10⁴ Pa
D)4.82 × 10⁴ Pa
E)3.16 × 10⁵ Pa

Answer 1

3.16 × 10⁵ Pa

Question 2

A gas sample is confined within a chamber that has a movable piston.A small load is placed on the piston; and the system is allowed to reach equilibrium.If the total weight of the piston and load is 70.0 N and the piston has an area of 5.0 × 10^-4 m², what is the pressure exerted on the piston by the gas? Note: Atmospheric pressure is 1.013 × 10⁵ Pa.

A)2.8 × 10⁴ Pa
B)5.6 × 10⁴ Pa
C)7.3 × 10⁴ Pa
D)1.4 × 10⁵ Pa
E)2.4 × 10⁵ Pa

Answer 2

2.4 × 10⁵ Pa

Question 3

11-2
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 force exerted on the bottom of the swimming pool?

A)2.40 × 10⁷ N
B)5.40 × 10⁷ N
C)3.92 × 10⁷ N
D)7.50 × 10⁷ N
E)8.40 × 10⁷ N

Answer 3

3.92 × 10⁷ N

Question 4

At a location where the acceleration due to gravity is 9.807 m/s², the atmospheric pressure is 9.891 × 10⁴ Pa.A barometer at the same location is filled with an unknown liquid.What is the density of the unknown liquid if its height in the barometer is 1.163 m?

A)210 kg/m³
B)4336 kg/m³
C)5317 kg/m³
D)8672 kg/m³
E)9688 kg/m³

Question 5

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)3.2 × 10² kg/m³
B)2.2 × 10³ kg/m³
C)2.6 × 10³ kg/m³
D)3.6 × 10³ kg/m³
E)4.9 × 10³ kg/m³

Question 6

What mass of water (at 4.0 °C) can be contained in a rectangular box whose dimensions are 10.0 cm by 5.00 cm by 1.00 cm? The density of water at 4.0 °C is 1.000 × 10³ kg/m³.

A)5.0 g
B)10.0 g
C)25.0 g
D)50.0 g
E)0.25 kg

Question 7

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?

A)0.43 m³
B)0.86 m³
C)1.7 m³
D)2.3 m³
E)4.8 m³

Question 8

The average density of the material in intergalactic space is approximately 2.5 × 10^-27 kg/m³.What is the volume of a lead sample, $\rho$ = 11 300 kg/m³, that has the same mass as 8.0 × 10²⁴ m³ of intergalactic space?

A)1.0 × 10^-6 m³
B)2.2 × 10^-5 m³
C)5.4 × 10^-6 m³
D)3.6 × 10^-5 m³
E)1.8 × 10^-6 m³

Question 9

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

A)2.53 × 10³ N
B)1.01 × 10⁵ N
C)4.05 × 10⁵ N
D)4.05 × 10⁶ N
E)zero N

Question 10

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?

A)120 N
B)89 N
C)76 N
D)54 N
E)240 N

Question 11

The density of gold is 19 300 kg/m³.What is the mass of a gold sphere whose diameter is 0.25 m?

A)87.5 kg
B)158 kg
C)947 kg
D)1260 kg
E)3790 kg

Question 12

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.

A)5 × 10⁴ kg
B)9 × 10² kg
C)2 × 10^-4 kg
D)4 × 10^-2 kg
E)3 × 10⁵ kg

Question 13

11-1
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)0.201 N
B)0.398 N
C)1.42 N
D)0.809 N
E)142 N

Question 14

An ice cube $\rho$ = 917 kg/m³, is sliding down a frictionless incline as shown in the drawing.The sides of the cube each have a length of 0.75 m.What pressure does the cube exert on the incline?

A)1800 Pa
B)6500 Pa
C)3600 Pa
D)2700 Pa
E)5100 Pa

Question 15

A solid cylinder has a radius of 0.051 m and a height of 0.0030 m.The cylinder is composed of two different materials with mass densities of 1950 kg/m³ and 1470 kg/m³.The cylinder contains an equal mass m of each of the two materials, so that the total mass is M = 2m.What is the mass m?

A)8.4 × 10^-2 kg
B)2.1 × 10^-2 kg
C)1.4 × 10^-2 kg
D)6.5 × 10^-2 kg
E)4.2 × 10^-2 kg

Question 16

11-2
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?

A)2.94 × 10⁴ Pa
B)1.31 × 10⁵ Pa
C)1.80 × 10⁵ Pa
D)1.97 × 10⁵ Pa
E)2.49 × 10⁵ Pa

Question 17

The two dams are identical with the exception that the water reservoir behind dam A extends twice the horizontal distance behind it as that of dam B.Which one of the following statements regarding these dams is correct?

A)The force exerted by the water on dam A is greater than that on dam B.
B)The force exerted by the water on dam B is greater than that on dam A.
C)Dam A is more likely to collapse than dam B if the water level rises.
D)Dam B is more likely to collapse than dam A if the water level rises.
E)The horizontal distance of the water behind the two dams does not determine the force on them.

Question 18

A pirate's treasure chest lies 20.0 m below the surface of the ocean.What is the magnitude of the force that acts on the rectangular top that is 0.750 m × 0.425 m?

A)980 N
B)2.39 × 10³ N
C)9.48 × 10⁴ N
D)4.71 × 10⁵ N
E)2.00 × 10⁶ N

Question 19

Within a certain type of star called a neutron star, the material at the center has a mass density of 1.0 × 10¹⁸ kg/m³.If a tiny sphere of this material of radius 1.0 × 10^-5 m were somehow transported to the surface of the earth, what would be the weight of this sphere?

A)1000 N
B)4200 N
C)4.1 × 10⁴ N
D)7.0 × 10⁴ N
E)3.8 × 10⁹ N

Question 20

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

A)0.0343 kg
B)0.002 94 kg
C)2.94 kg
D)5.44 kg
E)6.29 kg

Question 21

After a moving van drives onto a river ferry, the ferry sinks 0.0367 m.The length and width of the ferry are 15.24 m and 6.10 m, respectfully.Determine the weight of the moving van.

A)6.09 × 10³ N
B)1.00 × 10⁴ N
C)3.34 × 10⁴ N
D)5.11 × 10⁴ N
E)6.68 × 10⁴ N

Question 22

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

A)The buoyant force depends on the mass of the object.
B)The buoyant force depends on the weight of the object.
C)The buoyant force is independent of the density of the liquid.
D)The buoyant force depends on the volume of the liquid displaced.
E)The buoyant force will increase with depth if the liquid is incompressible.

Question 23

11-3
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)1.02 kg
B)2.02 kg
C)3.02 kg
D)4.04 kg
E)9.80 kg

Question 24

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?

A)798 kg/m³
B)847 kg/m³
C)981 kg/m³
D)1150 kg/m³
E)1210 kg/m³

Question 25

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?

A)The density of block A is less than that of block C.
B)The buoyant force acting on block A is equal to that acting on block B.
C)The volume of water displaced by block C is greater than that displaced by block B.
D)The buoyant force acting on block C is greater than that acting on block B.
E)The volume of water displaced by block A is greater than that displaced by block B.

Question 26

A small sculpture made of brass ( $\rho$ _brass = 8470 kg/m³) is believed to have a secret central cavity.The weight of the sculpture in air is 15.76 N.When it is submerged in water, the weight is 13.86 N.What is the volume of the secret cavity?

A)1 × 10^-4 m³
B)2 × 10^-4 m³
C)3 × 10^-5 m³
D)2 × 10^-6 m³
E)4 × 10^-6 m³

Question 27

A woman is enjoying a tropical drink while lying on a beach.The acceleration due to gravity at her location is 9.78 m/s².What gauge pressure must exist in the woman's mouth if she is drinking through a straw extending 0.075 m above the surface of the drink? Note: Assume the drink has a density of 1020 kg/m³.

A)850 Pa
B)750 Pa
C)1100 Pa
D)1000 Pa
E)920 Pa

Question 28

Which one of the following statements concerning a completely enclosed fluid is true?

A)Any change in the applied pressure of the fluid produces a change in pressure that depends on direction.
B)The pressure at all points within the fluid is independent of any pressure applied to it.
C)Any change in applied pressure produces an equal change in pressure at all points within the fluid.
D)An increase in pressure in one part of the fluid results in an equal decrease in pressure in another part.
E)The pressure in the fluid is the same at all points within the fluid.

Question 29

11-4
A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m³.The density of air is 1.3 kg/m³.
What is the average density of the balloon?

A)0.2 kg/m³
B)0.4 kg/m³
C)0.8 kg/m³
D)1.0 kg/m³
E)1.2 kg/m³

Question 30

A balloon inflated with helium gas (density = 0.2 kg/m³) has a volume of 6 × 10^-3 m³.If the density of air is 1.3 kg/m³, what is the buoyant force exerted on the balloon?

A)0.01 N
B)0.08 N
C)0.8 N
D)1.3 N
E)7.8 N

Question 31

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.

A)250 kg
B)700 kg
C)1400 kg
D)2800 kg
E)5600 kg

Question 32

11-3
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 density of the unknown liquid.

A)3.03 × 10³ kg/m³
B)4.62 × 10³ kg/m³
C)6.16 × 10³ kg/m³
D)8.01 × 10³ kg/m³
E)1.57 × 10⁴ kg/m³

Question 33

A barometer is taken from the base to the top of a 279-m tower.Assuming the density of air is 1.29 kg/m³, what is the measured change in pressure?

A)359 Pa
B)927 Pa
C)2120 Pa
D)2730 Pa
E)3530 Pa

Question 34

In a car lift, compressed air with a gauge pressure of 4.0 × 10⁵ Pa is used to raise a piston with a circular cross-sectional area.If the radius of the piston is 0.17 m, what is the maximum mass that can be raised using this piston?

A)530 kg
B)3700 kg
C)9800 kg
D)22 000 kg
E)41 000 kg

Question 35

An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m³.Determine the density of the object.

A)330 kg/m³
B)500 kg/m³
C)1.2 × 10³ kg/m³
D)5.9 × 10³ kg/m³
E)7.5 × 10³ kg/m³

Question 36

11-4
A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m³.The density of air is 1.3 kg/m³.
Will the balloon rise, fall, or remain stationary; and why?

A)The balloon will fall because its density is greater than that of air.
B)The balloon will remain stationary because its density is less than that of air.
C)The balloon will rise because the upward buoyant force is greater than its weight.
D)The balloon will fall because the upward buoyant force is less than its weight.
E)The balloon will fall because the downward buoyant force is greater than the upward buoyant force.

Question 37

A 2-kg block displaces 10 kg of water when it is held fully immersed.The object is then tied down as shown in the figure; and it displaces 5 kg of water.What is the tension in the string?

A)10 N
B)20 N
C)30 N
D)70 N
E)100 N

Question 38

Complete the following sentence: The operation of a hydraulic jack is an application of

A)Pascal's principle.
B)Bernoulli's principle.
C)Archimedes' principle.
D)irrotational flow.
E)the continuity equation.

Question 39

A u-shaped tube is connected to a flexible tube that has a membrane-covered funnel on the opposite end as shown in the drawing.Justin finds that no matter which way he orients to membrane, the height of the liquid in the u-shaped tube does not change.Which of the following choices best describes this behavior?

A)Archimedes' principle
B)Bernoulli's principle
C)continuity equation
D)irrotational flow
E)Pascal's principle

Question 40

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?

A)0.080 %
B)11 %
C)89 %
D)92 %
E)99 %

Question 41

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)3.1 m/s
B)9.9 m/s
C)14 m/s
D)17 m/s
E)31 m/s

Question 42

11-4
A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m³.The density of air is 1.3 kg/m³.
What is the magnitude of the initial acceleration of the balloon?

A)zero m/s²
B)9.8 m/s²
C)10.9 m/s²
D)22.1 m/s²
E)43.6 m/s²

Question 43

Complete the following statement: Bernoulli's principle is a statement of

A)hydrostatic equilibrium.
B)thermal equilibrium in fluids.
C)mechanical equilibrium in fluids.
D)energy conservation in dynamic fluids.
E)momentum conservation in dynamic fluids.

Question 44

Which law, principle, or equation can be used to determine the volume flow rate of a liquid that is forced through a hypodermic needle?

A)Poiseuille's law
B)Pascal's principle
C)Bernoulli's equation
D)Archimedes' principle
E)the equation of continuity

Question 45

The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m³.The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s.What is the difference in pressure, P_B - P_A, between points B and A?

A)-1.9 × 10³ Pa
B)+3.8 × 10³ Pa
C)-2.5 × 10⁴ Pa
D)+5.0 × 10⁴ Pa
E)-3.9 × 10⁴ Pa

Question 46

Which one of the following statements concerning streamline flow is true?

A)At any given point in the fluid, the velocity is constant in time.
B)Streamline flow occurs when there are sharp obstacles in the path of a fast-moving fluid.
C)Streamline flow is described by Pascal's principle.
D)Streamline flow is described by Archimedes' principle.
E)The velocity vectors are the same for all particles in the fluid.

Question 47

Water enters a pipe of diameter 3.0 cm with a velocity of 3.0 m/s.The water encounters a constriction where its velocity is 15 m/s.What is the diameter of the constricted portion of the pipe?

A)0.44 cm
B)0.75 cm
C)1.3 cm
D)1.6 cm
E)6.7 cm

Question 48

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?

A)0.56 m/s
B)2.3 m/s
C)0.25 m/s
D)0.75 m/s
E)3.0 m/s

Question 49

Which one of the following statements is false concerning the derivation or usage of Bernoulli's equation?

A)The fluid must be non-viscous.
B)Streamline flow is assumed.
C)The fluid must be incompressible.
D)The work-energy theorem is used to derive Bernoulli's equation.
E)Vertical distances are always measured relative to the lowest point within the fluid.

Question 50

Oil ( $\rho$ = 925 kg/m³) is flowing through a pipeline at a constant speed when it encounters a vertical bend in the pipe raising it 4.0 m.The cross sectional area of the pipe does not change.What is the difference in pressure (P_B - P_A) in the portions of the pipe before and after the rise?

A)+2.4 × 10⁴ Pa
B)-3.6 × 10⁴ Pa
C)+5.1 × 10⁵ Pa
D)-7.2 × 10⁵ Pa
E)-1.8 × 10³ Pa

Question 51

A hypodermic needle consists of a plunger of circular cross-section that slides inside a hollow cylindrical syringe.When the plunger is pushed, the contents of the syringe are forced through a hollow needle (also of circular cross-section).If a 4.0-N force is applied to the plunger and the diameters of the plunger and the needle are 1.2 cm and 2.5 mm, respectively, what force is needed to prevent fluid flow at the needle?

A)0.17 N
B)0.27 N
C)0.43 N
D)0.83 N
E)2.7 N

Question 52

Water flows through a pipe of diameter 8.0 cm with a speed of 10.0 m/s.It then enters a smaller pipe of diameter 3.0 cm.What is the speed of the water as it flows through the smaller pipe?

A)1.4 m/s
B)2.8 m/s
C)27 m/s
D)54 m/s
E)71 m/s

Question 53

Which one of the following statements concerning fluid streamlines is true?

A)In steady flow, streamlines must remain parallel and equally spaced.
B)In turbulent flow, two or more streamlines may cross.
C)In turbulent flow, streamlines can begin or end at any point.
D)Streamlines are perpendicular to the velocity of the fluid at every point.
E)In steady flow, the pattern of streamlines does not change with time.

Question 54

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?

A)1.5 cm
B)2.0 cm
C)3.0 cm
D)4.0 cm
E)6.0 cm

Question 55

11-5
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?

A)2.0 m/s
B)4.0 m/s
C)8.0 m/s
D)12 m/s
E)16 m/s

Question 56

A horizontal piping system that delivers a constant flow of water is constructed from pipes with different diameters as shown in the figure.At which of the labeled points is the water in the pipe under the greatest pressure? The drawing is a view from above the pipe.

A)A
B)B
C)C
D)D
E)E

Question 57

A large vat is continually filled with a viscous liquid that flows from two equally long, cylindrical pipes, labeled A and B, onto a conveyer belt as shown in the drawing.The diameter of pipe B is 1.75 times larger than that of pipe A.What is the ratio of the average volume flow rate of the liquid exiting pipe B to that of the liquid exiting pipe A?

A)1.87
B)3.06
C)1.32
D)9.38
E)4.33

Question 58

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)S_A = S_B and B_A = B_B
B)S_A = 2S_B and B_A = B_B
C)2S_A = S_B and 2B_A = B_B
D)S_A = S_B and 2B_A = B_B
E)S_A = 2S_B and B_A = 2B_B

Question 59

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?

A)Poiseuille's law
B)Bernoulli's equation
C)the equation of continuity
D)Archimedes' principle
E)Pascal's principle

Question 60

Elaine went to her outside faucet to fill a 0.0189-m³ bucket with water to wash her car.Water exits with a speed of 0.61 m/s.The radius of the faucet is 0.0078 m.How long does it take to fill the bucket completely?

A)9.0 s
B)17 s
C)160 s
D)280 s
E)490 s

Question 61

11-5
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 B?

A)2.27 m/s
B)4.27 m/s
C)7.47 m/s
D)8.57 m/s
E)9.28 m/s

Question 62

11-5
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.
What is the total pressure at point C?

A)1.01 × 10⁵ Pa
B)3.26 × 10⁵ Pa
C)3.66 × 10⁵ Pa
D)6.44 × 10⁵ Pa
E)7.45 × 10⁵ Pa

Question 63

11-5
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.
What is the total pressure at point B?

A)1.01 × 10⁵ Pa
B)3.64 × 10⁴ Pa
C)4.27 × 10⁵ Pa
D)6.44 × 10⁴ Pa
E)7.45 × 10⁴ Pa

Question 64

11-5
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.
What is the total pressure at point A?

A)1.01 × 10⁵ Pa
B)2.02 × 10⁵ Pa
C)2.25 × 10⁵ Pa
D)3.26 × 10⁵ Pa
E)4.27 × 10⁵ Pa

Question 65

11-5
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.
Determine the height h of mercury in the manometer with the evacuated upper end.

A)136 mm
B)269 mm
C)278 mm
D)366 mm
E)371 mm