# Quiz 13: Fluids

Physics & Astronomy

Q 1Q 1

Which of the following is the mass density of a material?
A) the material's weight per unit volume
B) the material's mass per unit volume
C) the material's specific gravity
D) the material's volume per unit weight
E) the material's volume per unit mass

Free

Multiple Choice

B

Q 2Q 2

Which gas has the lowest density under standard temperature and pressure?
A) hydrogen
B) helium
C) oxygen
D) nitrogen
E) carbon dioxide

Free

Multiple Choice

A

Q 3Q 3

A piece of wood is floating at the surface of some water as illustrated. The wood has a circular cross section and a height h = 3.0 cm. The density of the wood is 0.41 g/cm

^{3}. The distance y from the surface of the water to the bottom of the wood is A) impossible to determine because the area of the cross section is not given. B) 0.81 cm C) 3.2 cm D) 1.2 cm E) None of these is correct.Free

Multiple Choice

D

Q 4Q 4

Which of the following are the SI units for specific gravity?
A) kg/m

^{3 }B) g/cm^{3 }C) lb/ft^{3 }D) lb · s^{2}/ft^{4 }E) specific gravity has no unitsFree

Multiple Choice

Q 5Q 5

A block of material has a density . A second block of equal volume has three times the mass of the first. What is the density of the second block?
A)
B) 3
C) /3
D) 9
E) /9

Free

Multiple Choice

Q 6Q 6

A block of material has a density . A second block of equal mass has twice the volume of the first. What is the density of the second block?
A)
B) 2
C) /2
D) 4
E) /4

Free

Multiple Choice

Q 7Q 7

A penny has a mass of 3.0 g, a diameter of 1.9 cm, and a thickness of 0.15 cm. What is the density of the metal of which it is made?
A) 1.8 g/cm

^{3 }B) 3.4 g/cm^{3 }C) 3.5 g/cm^{3 }D) 7.1 g/cm^{3 }E) 4.5 g/cm^{3 }Free

Multiple Choice

Q 8Q 8

If the atmosphere were compressed until it had the density of water, it would cover Earth to a depth of about
A) 0.81 km
B) 4.6 m
C) 1.6 km
D) 76 cm
E) 10 m

Free

Multiple Choice

Q 9Q 9

A glass is filled with water. The gauge pressure at the top of the glass is zero and the gauge pressure at the bottom is P. A second glass with three times the height and twice the diameter is also filled with water. What is the pressure at the bottom of the second glass?
A) P
B) 2P
C) 3P
D) 3P/2
E) 3P/4

Free

Multiple Choice

Q 10Q 10

What is the gauge pressure at a depth of 6 cm in a glass filled with 4 cm of mercury and
4 cm of water? Water has a density of 1000 kg/m

^{3}, and mercury has a density 13.6 times as great. A) 3.1 kPa B) 5.6 kPa C) 5.8 kP D) 310 kPa E) 560 kPaFree

Multiple Choice

Q 11Q 11

A container of height, h, is filled with water of density , and sealed with a flexible membrane. The container is placed in the space shuttle in orbit. If the air pressure in the shuttle is P

_{o}, the pressure in the middle of the container is A) P_{o}B) P_{o}+ gh C) gh D) gh E) depends how fast the shuttle is movingFree

Multiple Choice

Q 12Q 12

At what depth in sea water is the gauge pressure equal to 1 atm? The density of sea water is 1.03 10

^{3}kg/m^{3}. A) 5 m B) 7.5 m C) 10 m D) 15 m E) 20 mFree

Multiple Choice

Q 13Q 13

The atmospheric pressure deceases exponentially with height. At 5.5 km, the pressure is half that at sea level. At what height is the pressure one eighth that of sea level?
A) 7.5 km
B) 11 km
C) 16.5 km
D) 22 km
E) 27.5 km

Free

Multiple Choice

Q 14Q 14

Your blood pressure is reported as 50 mm of Hg. The density of mercury is 13.6 g/cm

^{3}. Your pressure is equivalent to A) 6.7 10^{6}Pa B) 6.8 Pa C) 6.8 10^{2}Pa D) 6.7 10^{3}Pa E) 3.2 10^{2}PaFree

Multiple Choice

Q 15Q 15

An open U-tube has water to a height h on both sides, as shown. The cross-sectional area of the left-hand tube is A

_{1}= 1.50 cm^{2}, and that of the right-hand tube is A_{2}= 0.50 cm^{2}. A light oil (which does not mix with water) with a density of 0.83 g/cm^{3}is added to the right-hand side. When equilibrium is reached, which of the following is correct? A) The level on the right-hand side is higher than that on the left. B) The level on the right-hand side is lower than that on the left. C) The levels of the two sides are the same. D) The difference in the heights depends on A_{1}and A_{2}. E) None of these is correct.Free

Multiple Choice

Q 16Q 16

The left-hand side of an open U-tube has a radius r

_{1}= 0.82 cm, and the right-hand side has a radius r_{2}= 0.41 cm. Mercury and oil are poured into the U-tube. The density of mercury is 13.6 g/cm^{3}. The heights shown in the diagram are h_{1}= 3.50 cm and h_{2}= 57.3 cm. The density of the oil is approximately A) 0.83 g/cm^{3 }B) 110 g/cm^{3 }C) 7.9 g/cm^{3 }D) 6.9 g/cm^{3 }E) 1.82 g/cm^{3 }Free

Multiple Choice

Q 17Q 17

A tube with a radius of 4.2 cm is holding oil that has a density of 0.92 g/cm

^{3}. The pressure in the oil at a depth of 64 cm from the top of the surface is A) 5.8 10^{2}Pa B) 5.8 10^{3}Pa C) 1.0 10^{2}Pa D) 1.0 10^{6}Pa E) 1.7 10^{3}PaFree

Multiple Choice

Q 18Q 18

A small sphere of wood with a density = 0.40 g/cm

^{3}is held at rest well under the surface of a pool of water. The magnitude of the initial acceleration of the sphere when it is released is A) 15 m/s^{2 }B) 9.8 m/s^{2 }C) 33 m/s^{2 }D) 23 m/s^{2 }E) 3.4 m/s^{2 }Free

Multiple Choice

Q 19Q 19

A flat plate with a negligible mass and an area of 1.0 cm

^{2}is placed in a horizontal position well beneath the surface in a liquid that is not moving. The pressure at the location of the plate is P Pa. The total force that arises from the pressure of the liquid on this plate is A) P N, directed down. B) P 10^{-4}N, directed down. C) P N, directed up. D) P 10^{-4}N, directed up. E) zero.Free

Multiple Choice

Q 20Q 20

If the gauge pressure is doubled, the absolute pressure is
A) halved.
B) doubled.
C) unchanged.
D) squared.
E) Not enough information is given to determine the answer.

Free

Multiple Choice

Q 21Q 21

Two pistons of a hydraulic lift have radii of 2.67 cm and 20.0 cm. The downward force on the 2.67-cm piston that is required to lift a mass of 2000 kg supported by the 20-cm piston is
A) 350 N
B) 270 N
C) 36 N
D) 1.5 10

^{3}N E) 2.6 10^{3}NFree

Multiple Choice

Q 22Q 22

A ball bearing that has a density of 5.16 g/cm

^{3}is held at rest under the surface of a liquid that has a density of 2.50 g/cm^{3}. The magnitude of the acceleration of the ball bearing just after it is released is A) 5.0 m/s^{2 }B) 14 m/s^{2 }C) 10 m/s^{2 }D) 6.5 m/s^{2 }E) 1.6 m/s^{2 }Free

Multiple Choice

Q 23Q 23

The U-tube in the figure is sealed at both ends. It contains a gas in A, another gas in B, and mercury in C. The heights of the mercury in the two arms are as shown. The density of mercury is 13.6 g/cm

^{3}. If the pressure in A is 1 10^{4}dyn/cm^{2}, the pressure in B is A) 1 10^{4}dyn/cm^{2 }B) 2 10^{4}dyn/cm^{2 }C) 3 10^{4}dyn/cm^{2 }D) 4 10^{4}dyn/cm^{2 }E) 5 10^{4}dyn/cm^{2 }Free

Multiple Choice

Q 24Q 24

If the same fluid fills the containers shown, the pressures at the bases are related according to which of the following expressions?
A) P

_{C}< P_{A}< P_{E}< P_{D}< P_{B }B) P_{E}< P_{D}< P_{C}< P_{B}< P_{A }C) P_{A}< P_{B}< P_{C}< P_{D}< P_{E }D) P_{E}< P_{D}= P_{C}< P_{B}< P_{A }E) None of these is correct.Free

Multiple Choice

Q 25Q 25

The vessels in the figure contain liquids of the same density. The vessel that has the greatest pressure at its base is
A) 1
B) 2
C) 3
D) 4
E) 5

Free

Multiple Choice

Q 26Q 26

If a column of liquid 52 cm high supports a column of mercury ( = 13.6 g/cm

^{3}) 10 cm high, the density of the liquid is A) 6.0 g/cm^{3 }B) 2.6 g/cm^{3 }C) 3.8 g/cm^{3 }D) 4.9 g/cm^{3 }E) 5.0 g/cm^{3 }Free

Multiple Choice

Q 27Q 27

According to Pascal's principle, the pressure at every point in a confined liquid
A) depends only on the density of the liquid.
B) is equal to the weight of the liquid.
C) is the same.
D) is changed the same amount by an externally applied pressure.
E) is equal to the externally applied pressure.

Free

Multiple Choice

Q 28Q 28

Pressure as a function of depth for a certain liquid is plotted on the graph. What is the density of the liquid?
A) 1.76 g/cm

^{3 }B) 1.36 g/cm^{3 }C) 0.340 g/cm^{3 }D) 1.70 g/cm^{3 }E) 3.27 g/cm^{3 }Free

Multiple Choice

Q 29Q 29

The force exerted by a stationary liquid on an inclined rectangular surface at rest in the liquid
A) acts normally to the surface.
B) is exerted equally at all points on the surface.
C) acts parallel to the surface.
D) is independent of the density of the liquid.
E) varies inversely as the depth.

Free

Multiple Choice

Q 30Q 30

Which curve best represents the variation in pressure with depth in a fluid, assuming constant density?
A) 1
B) 2
C) 3
D) 4
E) 5

Free

Multiple Choice

Q 31Q 31

A block of ice 30.5 cm thick floating in fresh water just supports a man weighing 801 N. If the specific gravity of ice is 0.917, the smallest area the block can have is
A) 3.25 m

^{2 }B) 3.57 m^{2 }C) 2.88 m^{2 }D) 1.45 m^{2 }E) 0.269 m^{2 }Free

Multiple Choice

Q 32Q 32

A stone of volume 1.42 10

^{-2}m^{3}lies at the bottom of a freshwater lake. If the rock's specific gravity is 3.5, the work required to lift it 1 m through the water is approximately A) 487 J B) 139 J C) 348 J D) 223 J E) 469 JFree

Multiple Choice

Q 33Q 33

A solid wooden sphere of volume 0.0100 m

^{3}floats freely exactly one-half submerged in a liquid of density 800 kg/m^{3}. A lightweight cord is now tied to the sphere and is used to pull the sphere under the surface and hold it completely submerged. What is the tension in the cord? A) zero B) 2.00 N C) 39.2 N D) 4.00 N E) 78.4 NFree

Multiple Choice

Q 34Q 34

A block of wood of relative density 0.750 and dimensions 20.3 cm 30.5 cm 40.6 cm is tossed into a choppy freshwater lake. After a reasonable time, the approximate vertical dimension above the water will be
A) 2.54 cm
B) 5.08 cm
C) 7.62 cm
D) 10.2 cm
E) 12.7 cm

Free

Multiple Choice

Q 35Q 35

Two objects with different volumes have the same apparent weight when submerged in water. If they are placed in a vacuum,
A) both weigh less than before.
B) the one with the smaller volume weighs less than the other.
C) the one with the smaller volume weighs more than the other.
D) they weigh the same.
E) both weigh more than before.

Free

Multiple Choice

Q 36Q 36

Is it possible to float an object that is less dense that water when the amount of the water is less than the weight of the object?
A) No, the weight of the water must at least equal the weight of the object.
B) Yes, as long as the container that holds the water allows the water to rise so that the volume of water displaced is equal to the weight of the object.
C) It is not possible to determine the answer.
D) It depends on the density of the object.
E) It depends on the mass of the object.

Free

Multiple Choice

Q 37Q 37

Use the figure to the right to answer the next problems. A beaker is filled with water. A small plastic container contains a solid bar of aluminum, which has a mass of 40 g, and is placed on the water so that it floats. The water level reads 60 ml. Next, the bar of aluminum is taken out of the container and placed in the water so that it sinks to the bottom.
-The water level in the beaker _____
A) drops.
B) stays unchanged.
C) rises.
D) depends on the type of container
E) unable to tell

Free

Multiple Choice

Q 38Q 38

Use the figure to the right to answer the next problems. A beaker is filled with water. A small plastic container contains a solid bar of aluminum, which has a mass of 40 g, and is placed on the water so that it floats. The water level reads 60 ml. Next, the bar of aluminum is taken out of the container and placed in the water so that it sinks to the bottom.
-By how much does the water level change? (density of Al is 2.7 g/cm

^{3}) A) 40 ml B) 14.8 ml C) 25.2 ml D) 0 ml E) 30 mlFree

Multiple Choice

Q 39Q 39

Two identical beakers are filled with the same amount of water. A ball of mass m is placed in the first beaker so that it floats on the surface while a second identical ball is placed in the second beaker but tied with a string of negligible mass so that the ball is completely submerged. Each beaker is then placed on a scale. Which scale has a higher reading?
A) (a)
B) (b)
C) the same
D) depends on how far the ball is submerged in (b)
E) unable to tell

Free

Multiple Choice

Q 40Q 40

A beaker is filled with water. A ball of mass m and density <

_{water}is tied to a string. The other end of the string is then tied to the bottom of the beaker so that the ball is completely submerged. What is the tension in the string? A) B) C) mg D) E)Free

Multiple Choice

Q 41Q 41

A rock of mass M with a density twice that of water is sitting on the bottom of an aquarium tank filled with water. The normal force exerted on the rock by the bottom of the tank is
A) 2Mg
B) Mg
C) Mg/2
D) zero
E) impossible to determine from the information given.

Free

Multiple Choice

Q 42Q 42

A large tub is half full of water. A mass M = 25.0 kg, which has a specific gravity of 2.5, is attached to the right-hand side of the tub, out of the water. The entire apparatus balances perfectly horizontally on a fulcrum at F, as in (a). The tub is clamped in place and M is lowered to the bottom, completely submerged, as in (b). When the clamps are removed, the tub
A) remains balanced.
B) tips, with point L going down.
C) tips, with point L going up.
D) There is not enough information to solve the problem.
E) None of these is correct.

Free

Multiple Choice

Q 43Q 43

You are floating in a boat in a swimming pool. There are some large stones, with a density of 2.5 g/cm

^{3}, in the boat. You throw the stones out of the boat and they sink to the bottom of the pool. The water level h, measured vertically at the end of the pool __________ as the stones are thrown out. A) decreases B) increases C) There is not enough information to solve the problem. D) stays the same E) None of these is correct.Free

Multiple Choice

Q 44Q 44

A block of wood of length L = 21.0 cm, width w = 9.53 cm, and height h = 5.92 cm is just barely immersed in water by placing a mass m on the top of the block. The density of the wood is = 0.390 g/cm

^{3}. The value of m is A) 0.72 kg B) 7.1 kg C) 1.2 kg D) 1.6 kg E) 0.36 kgFree

Multiple Choice

Q 45Q 45

A cylindrical piece of wood has a mass M = 0.235 kg. A small piece of lead with a mass m = 0.021 kg is fixed in the wood at the bottom of the cylinder so that the cylinder floats in water in a stable position, as shown. The radius of the cylinder is 1.65 cm. The depth x of the cylinder below the surface of the water is
A) 0.38 m
B) 0.57 m
C) 0.22 m
D) 0.42 m
E) None of these is correct.

Free

Multiple Choice

Q 46Q 46

A rock is thrown into a swimming pool that is filled with water at a uniform temperature. Which of the following statements is true?
A) The buoyant force on the rock is zero as it sinks.
B) The buoyant force on the rock increases as it sinks.
C) The buoyant force on the rock decreases as it sinks.
D) The buoyant force on the rock is constant as it sinks.
E) The buoyant force on the rock as it sinks is nonzero at first but becomes zero once the terminal velocity is reached.

Free

Multiple Choice

Q 47Q 47

A rock of mass M, that has a density twice that of water, is suspended in water by a thin, massless cord. The tension in the cord is
A) 2Mg
B) Mg
C) Mg/2
D) zero
E) impossible to determine from the information given.

Free

Multiple Choice

Q 48Q 48

A metal block suspended from a spring balance is submerged in water. You observe that the block displaces 55 cm

^{3}of water and that the balance reads 4.3 N. What is the density of the block? A) 7.0 g/cm^{3 }B) 8.0 g/cm^{3 }C) 9.0 g/cm^{3 }D) 1.1 g/cm^{3 }E) 1.2 g/cm^{3 }Free

Multiple Choice

Q 49Q 49

You are floating in a boat in a swimming pool. The boat contains some blocks of wood. The specific gravity of the wood is 0.66. You throw the wood blocks into the pool. When the waves settle, the depth of the water in the pool
A) has increased.
B) is the same as before.
C) has decreased.
D) is impossible to determine from the information given
E) is none of these

Free

Multiple Choice

Q 50Q 50

A block of wood of mass 300 g and density 0.75 g/cm

^{3}is floating on the surface of a liquid of density 1.1 g/cm^{3}. What mass of lead (density = 11.3 g/cm^{3}) must be added to the block in order for the combination just to be submerged? A) 440 g B) 820 g C) 140 g D) 155 g E) none of the aboveFree

Multiple Choice

Q 51Q 51

A block of wood of mass 400 g and density 0.8 g/cm

^{3}is floating on the surface of a liquid of density 1.3 g/cm^{3}. What is the difference in mass of stone (density = 1.9 g/cm^{3}) that must be added to the block in order for the combination (wood and stone) to be just submerged rather than only the wood to be submerged? A) 250 g B) 540 g C) 170 g D) 790 g E) none of the aboveFree

Multiple Choice

Q 52Q 52

A uniform cylinder of wood of length 25 cm is floating vertically upright in a dual layered fluid. An oil layer (of density 0.9 g/cm

^{3}) that is 9 cm deep lies above a depth of water. If only 5 cm of wood lies above the oil surface calculate the density of the wood. A) 0.76 g/ cm^{3 }B) 0.80 g/ cm^{3 }C) 0.70 g/ cm^{3 }D) 0.66 g/ cm^{3 }E) none of the aboveFree

Multiple Choice

Q 53Q 53

A raft of density 700 kg/m

^{3}has a surface area of 7.0 m^{2}and a volume of 0.7 m^{3}. What depth does it sink into water of density 1000 kg/m^{3}? A) 10 cm B) 0.7 cm C) 0.7 m D) 7 m E) 7 cmFree

Multiple Choice

Q 54Q 54

A large spherical air balloon is filled with helium. If the balloon is to lift three people, each approximately 80 kg, plus a basket and balloon outer covering material of mass
50 kg, calculate the minimum radius of the balloon. Assume values of the density of air and helium to be 1.29 kg/m

^{3}and 0.18 kg/m^{3}respectively. A) 62 m B) 8.0 m C) 4.0 m D) 20 m E) 5.0 mFree

Multiple Choice

Q 55Q 55

Bernoulli's equation for nonviscous flow can be stated as
P

_{1}+ gy_{1}+ v_{1}2 = P_{2}+ gy_{2}+ v_{2}2 A fluid is flowing through a horizontal tube that changes in cross-sectional area from A_{1}= 0.75 cm^{2}to A_{2}= 0.030 cm^{2}. When v_{1}= 3.5 cm/s, = 1.4 g/cm^{3}, and viscosity is neglected, the difference between pressure P_{2}at A_{2}and P_{1}at A_{1}is A) 54 10^{3}dyn/cm^{2}, with P_{1}higher. B) 59 dyn/cm^{2}, with P_{2}higher. C) 59 dyn/cm^{2}, with P_{1}higher. D) 8.3 10^{2}dyn/cm^{2}, with P_{2}higher. E) None of these is correct.Free

Multiple Choice

Q 56Q 56

Water from a tap is flowing at a uniform rate of 24 cm

^{3}/s into a cylindrical container. An exit tube is mounted on the side of the container at height h/2 from the base. The height h of the water remains constant. The volume flow at which the water leaves the container is A) 12 cm^{3}/s B) 24 cm^{3}/s C) 36 cm^{3}/s D) 48 cm^{3}/s E) 72 cm^{3}/sFree

Multiple Choice

Q 57Q 57

The drag force on a plane is proportional to the density of the air. By what factor does the drag force change if a plane goes from an altitude 5.5 km to 11 km? The atmospheric pressure goes from to atm in going from 5.5 km to 11 km. Assume that the plane is at level flight and flies at the same speed.
A)
B)
C)
D) 1
E) 2

Free

Multiple Choice

Q 58Q 58

Which conservation law governs the Bernoulli's equation?
A) Conservation of energy
B) Conservation of linear momentum
C) Conservation of angular momentum
D) Newton's universal law of gravitation
E) Bernoulli's equation does not follow from any conservation law.

Free

Multiple Choice

Q 59Q 59

A horizontal pipe narrows from a diameter of 10 to 5 cm. For a nonviscous fluid flowing from the larger diameter to the smaller,
A) the velocity and pressure both increase.
B) the velocity increases and the pressure decreases.
C) the velocity decreases and the pressure increases.
D) the velocity and pressure both decrease.
E) either the velocity or the pressure changes but not both.

Free

Multiple Choice

Q 60Q 60

A tank is filled with water to a height H. A small hole is punched in one of the walls at a depth h below the water's surface. The water leaves the hole in a horizontal direction. The stream of water strikes the floor at a distance x, as shown. Neglecting viscosity, you can calculate the value of x from
A) x = H - h
B) x = [2h(H - h)]

^{1/2 }C) x = h D) x = 2[h(H - h)]^{1/2 }E) None of these is correct.Free

Multiple Choice

Q 61Q 61

Water flows at speed v in a pipe of radius r. Neglecting viscosity, at what speed does the water flow through a constriction in which the radius of the pipe is r/3?
A) v/9
B) v/3
C) v
D) 3v
E) 9v

Free

Multiple Choice

Q 62Q 62

Water flows through the pipe shown in the figure. The pressure
A) is greater at A than at B.
B) at A equals that at B.
C) is less at A than at B.
D) at A is unrelated to that at B.
E) at A can be greater or less than that at B depending on the rate of flow.

Free

Multiple Choice

Q 63Q 63

A wind with speed 45 m/s blows across a roof 20 m long and 12 m wide. The pressure inside the room is 1 atm. What is the net force on this roof due to the pressure difference inside and outside the roof? (The density of air is equal to 1.3 kg/m

^{3}.) A) 3.2 10^{5}N B) 2.4 10^{7}N C) 6.3 10^{5}N D) 7.0 10^{3}N E) 3.2 10^{8}NFree

Multiple Choice

Q 64Q 64

When Bernoulli's equation is written in the form
P/ + v

^{2}+ U = C, The constant C represents the A) energy per unit mass. B) energy per unit volume. C) net work done by outside forces. D) power supplied by outside sources. E) mass flow per unit time.Free

Multiple Choice

Q 65Q 65

One statement of Bernoulli's law is
At any two points along a pipe in which there is a liquid in steady flow, the sum of the pressure, the kinetic energy per unit volume, and the potential energy per unit volume has the same value.
For this statement to be true, it is not necessary to have
A) streamline flow.
B) frictionless flow.
C) an incompressible fluid.
D) fluid of constant density.
E) constant acceleration of the fluid between the two points.

Free

Multiple Choice

Q 66Q 66

The figure represents the streamline flow of an incompressible fluid. Which of the following statements is true of the velocity and/or pressure at the indicated points?
A) v

_{A}= v_{B}= v_{C }B) v_{A}= v_{B}= v_{C}; p_{A} p_{B} p_{C }C) v_{A} v_{B } v_{C}; p_{A}= p_{B}= p_{C }D) v_{A} v_{B} v_{C}; p_{A} p_{B} p_{C }E) v_{A}= v_{B}= v_{C}; p_{A}> p_{B}> p_{C }Free

Multiple Choice

Q 67Q 67

An incompressible fluid is in streamline flow through a Venturi meter, as shown. In the graph, one of the curves is a calibration curve for the meter, showing the fluid velocity plotted against the gauge reading. Which curve best represents the calibration data?
A) 1
B) 2
C) 3
D) 4
E) 5

Free

Multiple Choice

Q 68Q 68

Sea water of density 1.03 10

^{3}kg/m^{3}is in streamline flow through a Venturi meter. The pressure difference between the main pipe and the constriction is 20.7 kPa, and the flow velocity in the constriction is 7.32 m/s. The flow velocity in the main pipe is A) 2.44 m/s B) 3.66 m/s C) 7.32 m/s D) 14.6 m/s E) 29.3 m/sFree

Multiple Choice

Q 69Q 69

Sea water of density 1.03 10

^{3}kg/m^{3}is in streamline flow through a Venturi meter. The cross-sectional areas of the main pipe and the constriction are 0.139 m^{2}and 0.0464 m^{2}, respectively, and the pressure difference between the two portions is 55.2 kPa. The velocity of flow in the main pipe is A) 0.305 m/s B) 1.73 m/s C) 3.66 m/s D) 11.0 m/s E) 20.7 m/sFree

Multiple Choice

Q 70Q 70

A small portion of an incompressible liquid in steady flow through a pipe of variable cross section, if friction is negligible, has at each point throughout its path a constant
A) kinetic energy.
B) velocity.
C) potential energy.
D) total energy.
E) momentum.

Free

Multiple Choice

Q 71Q 71

Cities across the U.S. supply fresh water to the residents at constant pressure by the use of water towers. If the diameter, d

_{2}, of the pipe coming out of the tower is 25 cm, and the diameter, d_{1}, of the pipe at your home is 2.0 cm, what is the ratio of the velocity of the water at d_{1}compared to d_{2}? Assume that all the taps are off except yours. A) 12.5 B) 156 C) 0.0064 D) 0.08 E) 25Free

Multiple Choice

Q 72Q 72

A pipe of 2.54 cm inside diameter has a constriction in which the inside diameter is
1)27 cm. If water is flowing through this pipe with a velocity of 1.22 m/s in the main section, the velocity in the constricted section is
A) 0.305 m/s
B) 0.610 m/s
C) 2.44 m/s
D) 1.22 m/s
E) 4.88 m/s

Free

Multiple Choice

Q 73Q 73

A fish model that is 5.08 cm in diameter is placed in a pipe 25.4 cm in diameter and aligned along the axis of the pipe. If the water must flow past the fish at 2.44 m/s, the water in the unconstricted part of the pipe must flow at
A) 9.75 cm/s
B) 2.84 m/s
C) 2.35 m/s
D) 2.44 m/s
E) 6.10 m/s

Free

Multiple Choice

Q 74Q 74

Water is discharged from the tank in the manner shown. At which point is the pressure the least?
A) 1
B) 2
C) 3
D) 4
E) The pressure is the same at all points.

Free

Multiple Choice

Q 75Q 75

A pipe that appears to be of uniform size has constrictions on the inside. When a liquid flows through the pipe, the pressures at various points are indicated by the heights of the columns in the manometer tubes. If fluid friction is negligible, at which point is the diameter greatest?
A) 1
B) 2
C) 3
D) 4
E) 5

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Multiple Choice

Q 76Q 76

The height of a water column as a function of time is given in the graph. From this graph, the time constant of the process is
A) 0.85 min
B) 1.4 min
C) 2.0 min
D) 2.9 min
E) infinite

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Multiple Choice

Q 77Q 77

A liquid, such as water, with a low but not negligible viscosity is flowing from A to C with no turbulence through the horizontal tube, as shown in the figure. The cross-sectional area at A is equal to that at C. Which of the following is observed?
A) The pressure at A is the same as the pressure at C, and this pressure is smaller than the pressure at B.
B) The pressure at A is somewhat larger than that at C, and the pressures at both A and C are larger than the pressure at B.
C) The pressures at A and C are the same, and this pressure is larger than the pressure at B.
D) The pressure at A is larger than the pressure at B, which is larger than the pressure at C.
E) None of these is observed.

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Multiple Choice

Q 78Q 78

For the streamlined flow of a viscous liquid, such as water, in a capillary tube, which of the following is correct?
A) The coefficient of viscosity depends on the radius of the inside of the tube raised to the fourth power.
B) The velocity of the liquid is essentially zero at the tube walls and increases toward the center of the tube.
C) There is no pressure difference along the tube provided the tube is less than 10 cm in length.
D) The volume flow rate through the tube can never be constant.
E) None of these is correct.

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Multiple Choice

Q 79Q 79

A smooth stone is falling with its constant terminal velocity in a viscous liquid. The density of the stone is 2.89 10

^{3}kg/m^{3}, and the density of the liquid is 1.34 10^{3}kg/m^{3}. The volume of the stone is 2.15 10^{-6}m^{3}. The drag force F of the liquid on the stone is given by F = 3.52v in SI units, where v is the terminal velocity. The value of v is A) 8.5 10^{-3}m/s B) 1.1 10^{-2}m/s C) 3.2 10^{-2}m/s D) 1.7 10^{-2}m/s E) 1.7 10^{-3}m/sFree

Multiple Choice

Q 80Q 80

Using a motion sensor, Susana finds that the acceleration of a 4-kg rock that has been dropped from the roof of a building is 6 m/s

^{2}. She concludes that the magnitude of force of air resistance acting on the rock is approximately A) 39.2 N B) 24.0 N C) 15.2 N D) 9.81 N E) None of these is correct.Free

Multiple Choice

Q 81Q 81

Using a motion sensor, Sean finds that the acceleration of a 2-kg rock that has been dropped from the roof of a building is 5.5 m/s

^{2}. He concludes that the magnitude of force of air resistance acting on the rock is approximately A) 19.6 N B) 11.0 N C) 9.81 N D) 6.62 N E) None of these is correct.Free

Multiple Choice

Q 82Q 82

A horizontal pipe of 30 cm

^{2}cross-sectional area carries water at a speed of 2.5 m/s. This pipe feeds a smaller pipe of cross section 10 cm^{2}. Find the speed of water flow in the smaller pipe. A) 3.5 m/s B) 0.8 m/s C) 2.5 m/s D) 7.5 m/s E) 23 m/sFree

Multiple Choice

Q 83Q 83

A horizontal pipe of 50 cm

^{2}cross-sectional area carries a fluid of unknown density at a speed of 3.0 m/s. This pipe feeds a smaller pipe of cross section 25 cm^{2}. If the pressure difference between the two sections of pipe is 9000 Pa, find the density of the fluid. A) 500 kg/m^{3 }B) 360 kg/m^{3 }C) 6000 kg/m^{3 }D) 720 kg/m^{3 }E) Cannot solve, not enough information givenFree

Multiple Choice

Q 84Q 84

A hurricane strength wind is blowing at a speed of 100 km/hr over a flat roof of 100 m

^{2}. Assuming the inside of the house to be at 1 atm pressure and the density of air is 1.3 kg/m^{3}, calculate the pressure difference between the inside and the outside of the roof. A) 500 Pa lower outside B) 1000 Pa higher outside C) 500 Pa lower inside D) 1000 Pa lower outside E) 18 Pa lower outsideFree

Multiple Choice

Q 85Q 85

A hurricane strength wind is blowing at a speed of 100 km/hr over a flat square roof of
10 m per side. Assuming the inside of the house to be at 1 atm pressure and the density of air is 1.3 kg/m

^{3}, calculate the lifting force on the roof. A) 5.0 10^{3}N B) 3.8 10^{4}N C) 5.0 10^{4}N D) 1.0 10^{5}N E) 6.5 10^{4}NFree

Multiple Choice

Q 86Q 86

A hurricane strength wind is blowing past a wooden box-shaped shack with its door and windows shut. Which one of the following statements is true?
A) Only the roof will feel a net force outward.
B) The shack will implode.
C) The air inside is at a lower pressure than outside.
D) The roof and some of the sides feel a net force outward.
E) The door and roof will always be pulled off together.

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Multiple Choice

Q 87Q 87

As part of a science project you investigate the effect of punching holes in a plastic container of water and observing the flow of liquid out of the different holes. If the container has a water level 20 cm above the base and you punch a hole in the side 12 cm high, calculate the speed at which water will initially flow out of the hole.
A) 1.25 m/s
B) 15.3 m/s
C) 12.5 m/s
D) 1.50 m/s
E) 2.25 m/s

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Multiple Choice

Q 88Q 88

A hypodermic needle can be thought of as a large area pipe leading to a small area pipe that opens into the vein. The diameter of the plunger is 1.2 cm and the needle diameter is 0.15 cm. If the gauge pressure in the vein is 25 mmHg, what minimum force is needed on the plunger in order for a fluid flow into the vein to occur?
A) 0.38 N
B) 0.19 N
C) 0.0060 N
D) 31 N
E) 0.12 N

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Multiple Choice

Q 89Q 89

An air-conditioning system is designed to fill a room of 10 m 8 m 6 m with fresh air every 20 minutes. If the circular air duct has a diameter of 13 cm, calculate the speed of airflow in the duct.
A) None of the answers below
B) 450 m/s
C) 2.4 m/s
D) 7.5 m/s
E) 1.0 m/s

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Multiple Choice

Q 90Q 90

A pump is used to circulate SAE 10W oil at 30C in an engine. What is the minimum pressure the pump must provide if it is to achieve a flow rate of 1L/s along a tube that is 1 m long with an inner diameter of 2 cm?
A) 1/8 atm
B) 1/4 atm
C) 1/2 atm
D) 3/4 atm
E) 1 atm

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Multiple Choice

Q 91Q 91

A pump is used to circulate oil in an engine. If the diameter of the tube connecting the pump to the engine is increase by a factor of 2, the resulting pressure drop at the end of the tube changes by a factor of
A) 1/32
B) 1/16
C) 1/8
D) 1/2
E) 1/4

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Multiple Choice