Question 1

Water, which we can treat as ideal and incompressible, flows at  12 m/s in a horizontal pipe with a pressure of  3.0×104 Pa3.0 	imes 10 ^ { 4 } \mathrm {~Pa}3.0×104 Pa 
If the pipe widens to twice its original radius, what is the pressure in the wider section?

Accepted Answer

A)    9.8×104 Pa9.8 	imes 10 ^ { 4 } \mathrm {~Pa}9.8×104 Pa 
B)    4.9×104 Pa4.9 	imes 10 ^ { 4 } \mathrm {~Pa}4.9×104 Pa 
C)    7.4×104 Pa7.4 	imes 10 ^ { 4 } \mathrm {~Pa}7.4×104 Pa 
D)    3.0×104 Pa3.0 	imes 10 ^ { 4 } \mathrm {~Pa}3.0×104 PaE) None of the above
F) All of the above

Question 2

Water is flowing in a drainage channel of rectangular cross-section. The width of the channel is 15  m, the depth of water is  8.0 m, and the speed of the flow is  2.5 m/s. What is the mass flow rate of the water? The density of water is  1000 kg/m31000 \mathrm {~kg} / \mathrm { m } ^ { 3 }1000 kg/m3

Accepted Answer

A)    3.0×102 kg/s3.0 	imes 10 ^ { 2 } \mathrm {~kg} / \mathrm { s }3.0×102 kg/s 
B)    2.0×105 kg/s2.0 	imes 10 ^ { 5 } \mathrm {~kg} / \mathrm { s }2.0×105 kg/s 
C)    2.0×103 kg/s2.0 	imes 10 ^ { 3 } \mathrm {~kg} / \mathrm { s }2.0×103 kg/s 
D)    3.0×103 kg/s3.0 	imes 10 ^ { 3 } \mathrm {~kg} / \mathrm { s }3.0×103 kg/s 
E)    3.0×105 kg/s3.0 	imes 10 ^ { 5 } \mathrm {~kg} / \mathrm { s }3.0×105 kg/sF) A) and B)
G) D) and E)

Question 3

Water flows out of a large reservoir through  5.0-cm diameter pipe. The pipe connects to a  3.0-cm diameter pipe that is open to the atmosphere, as shown in the figure. What is the speed of the water in the 5.0-cm pipe? Treat the water as an ideal incompressible fluid.

Accepted Answer

A)    3.9 m/s
B)    10 m/s
C)    2.3 m/s
D)    8.9 m/s
E)    3.2 m/sF) All of the above
G) C) and D)

Question 4

A 1938 nickel has a diameter of  21.21 mm, a thickness of  1.95 mm, and weighs  0.04905 N. What is its density?

Accepted Answer

A)    3.63×103 kg/m33.63 	imes 10 ^ { 3 } \mathrm {~kg} / \mathrm { m } ^ { 3 }3.63×103 kg/m3 
B)    7.26×103 kg/m37.26 	imes 10 ^ { 3 } \mathrm {~kg} / \mathrm { m } ^ { 3 }7.26×103 kg/m3 
C)    19.3×103 kg/m319.3 	imes 10 ^ { 3 } \mathrm {~kg} / \mathrm { m } ^ { 3 }19.3×103 kg/m3 
D)    1.37×10−4 kg/m31.37 	imes 10 ^ { - 4 } \mathrm {~kg} / \mathrm { m } ^ { 3 }1.37×10−4 kg/m3 
E)    1.82×103 kg/m31.82 	imes 10 ^ { 3 } \mathrm {~kg} / \mathrm { m } ^ { 3 }1.82×103 kg/m3F) B) and C)
G) None of the above

Question 5

When a container of water is placed on a laboratory scale, the scale reads  120 g. Now a  20-g piece of copper   (of density 8.9 g/cm3 )  	ext { (of density } 8.9 \mathrm {~g} / \mathrm { cm } ^ { 3 } 	ext { )  } (of density 8.9 g/cm3 )   
is suspended from a thread and lowered into the water, not touching the bottom of the container. What will the scale now read? The density of water is  1.0   g/cm3\mathrm { g } / \mathrm { cm } ^ { 3 }g/cm3

Accepted Answer

A)    120 g
B)    138 g
C)    122 g
D)    140 g E) B) and C)
F) A) and D)

Question 6

A container has a vertical tube, whose inner radius is  20.00 mm, connected to it at its side, as shown in the figure. An unknown liquid reaches level  A  in the container and level  B  in the tube -level A being  5.0 cm  higher than level B. The liquid supports a  20-cm high column of oil, between levels  B  and  C , whose density is  900 kg/m3900 \mathrm {~kg} / \mathrm { m } ^ { 3 }900 kg/m3 
The density of the unknown liquid is closest to

Accepted Answer

A)    3600 kg/m33600 \mathrm {~kg} / \mathrm { m } ^ { 3 }3600 kg/m3 
B)    3900 kg/m33900 \mathrm {~kg} / \mathrm { m } ^ { 3 }3900 kg/m3 
C)    3100 kg/m33100 \mathrm {~kg} / \mathrm { m } ^ { 3 }3100 kg/m3 
D)    3300 kg/m33300 \mathrm {~kg} / \mathrm { m } ^ { 3 }3300 kg/m3 
E)    2800 kg/m32800 \mathrm {~kg} / \mathrm { m } ^ { 3 }2800 kg/m3F) A) and B)
G) B) and E)

Question 7

A hot air balloon along with its cargo has a mass of  4.0×105 kg4.0 	imes 10 ^ { 5 } \mathrm {~kg}4.0×105 kg  and it holds  7.0×105 m37.0 	imes 10 ^ { 5 } \mathrm {~m} ^ { 3 }7.0×105 m3  of hot air. It is floating at a constant height in air with a density of  1.29 kg/m31.29 \mathrm {~kg} / \mathrm { m } ^ { 3 }1.29 kg/m3 
What is the density of the hot air in the balloon?

Accepted Answer

A)    0.57 kg/m30.57 \mathrm {~kg} / \mathrm { m } ^ { 3 }0.57 kg/m3 
B)    1.4 kg/m31.4 \mathrm {~kg} / \mathrm { m } ^ { 3 }1.4 kg/m3 
C)    0.86 kg/m30.86 \mathrm {~kg} / \mathrm { m } ^ { 3 }0.86 kg/m3 
D)    0.43 kg/m30.43 \mathrm {~kg} / \mathrm { m } ^ { 3 }0.43 kg/m3 
E)    0.72kq/m30.72 \mathrm { kq } / \mathrm { m } ^ { 3 }0.72kq/m3F) None of the above
G) A) and B)

Question 8

Consider a very small hole in the bottom of a tank that is  17.0 cm in diameter and filled with water to a height of  90.0 cm. Find the speed at which the water exits the tank through the hole.

Accepted Answer

A)    44.1 m/s
B)    17.64 m/s
C)    48.3 m/s
D)    4.20 m/sE) A) and C)
F) All of the above

Question 9

A 100-kg person sits on a 5-kg bicycle. The total weight is borne equally by the two wheels of the bicycle. The tires are  2.0 cm wide and are inflated to a gauge pressure of  8.0×105 Pa8.0 	imes 10 ^ { 5 } \mathrm {~Pa}8.0×105 Pa  What length of each tire is in contact with the ground?

Accepted Answer

A)    1.6 cm
B)    2.4 cm
C)    1.8 cm
D)    6.4 cm
E)    3.2 cm F) A) and D)
G) None of the above

Question 10

An incompressible ideal fluid flows steadily through a pipe that has a change in diameter. The fluid speed at a location where the pipe diameter is  8.0 cm  is  1.28 m/s . What is the fluid speed at a location where the diameter has narrowed to  4.0 cm?

Accepted Answer

A)    5.1 m/s
B)    2.6 m/s
C)    0.32 m/s 
D)    0.64 m/s
E)    1.3 m/sF) None of the above
G) C) and E)

Question 11

For a certain patient, the build-up of fatty tissue on the wall of an artery has decreased the arterial radius by  10%. By how much would the pressure provided by the heart have to be increased to maintain a constant volume of blood flow? Model the blood as an ideal incompressible fluid.

Accepted Answer

A)    46% 
B)    54% 
C)    48% 
D)    52% E) A) and B)
F) A) and C)

Question 12

Substance A has a density of  3 g/cm3  and substance Bhas a density of  4 g/cm3. In order to obtain equal masses of these two substances, what must be the ratio of the volume of A to the volume of

Accepted Answer

A)    VAVB=34\frac { V A } { V B } = \sqrt { \frac { 3 } { 4 } }VBVA​=43​l0 -0c4,-6.7,10,-10,18,-10 H400000v40H1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7s-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744c-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30c26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722c56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5c53.7,-170.3,84.5,-266.8,92.5,-289.5zM1001 80h400000v40h-400000z'/>​ 
B)    VAVB=13\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } } = \frac { 1 } { 3 }VB​VA​​=31​ 
C)    V AV B=31\frac { V \mathrm {~A} } { V \mathrm {~B} } = \frac { 3 } { 1 }V BV A​=13​ 
D)    V AVB=34\frac { V \mathrm {~A} } { V _ { \mathrm { B } } } = \frac { 3 } { 4 }VB​V A​=43​ 
E)    VAVB=43\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } } = \frac { 4 } { 3 }VB​VA​​=34​F) A) and E)
G) B) and E)

Question 13

A brick weighs  50.0 N, and measures $30.0 \mathrm {~cm} \times 10.0 \mathrm {~cm} \times 4.00 \mathrm {~cm}$
What is the maximum pressure it can exert on a horizontal surface due to its weight?

Accepted Answer

The answer of A brick weighs  50.0 N, and...

Question 14

As shown in the figure, a large open tank contains a layer of oil $\text { (density } 450 \mathrm {~kg} / \mathrm { m } ^ { 3 } \text { ) }$
floating on top of a layer of water $\text { (density } \left. 1000 \mathrm {~kg} / \mathrm { m } ^ { 3 } \right)$
that is  3.0 m  thick, as shown in the sketch. What must be the thickness of the oil layer if the gauge pressure at the bottom of the tank is to be $8.5 \times 10 ^ { 4 } \mathrm {~Pa} ?$

Accepted Answer

The answer of As shown in the figure, a large...

Question 15

A 4.7-kg solid sphere, made of metal whose density is  4000 kg/m34000 \mathrm {~kg} / \mathrm { m } ^ { 3 }4000 kg/m3  hangs by a light cord. When the sphere is immersed in water, what is the tension in the cord? The density of water is 1000  kg/m3. \mathrm { kg } / \mathrm { m } ^ { 3 } 	ext {. }kg/m3.

Accepted Answer

A)    46 N
B)    58 N
C)    35 N
D)    52 N
E)    40 N F) C) and D)
G) B) and E)

Question 16

If a ship has a mass of 10 million kilograms, what volume of fresh water must it displace in order to float? The density of water is  1000 kg/m31000 \mathrm {~kg} / \mathrm { m } ^ { 3 }1000 kg/m3

Accepted Answer

A)    107 m310 ^ { 7 } \mathrm {~m} ^ { 3 }107 m3 
B)    104 m310 ^ { 4 } \mathrm {~m} ^ { 3 }104 m3 
C)    1012 m310 ^ { 12 } \mathrm {~m} ^ { 3 }1012 m3 
D)    108 m310 ^ { 8 } \mathrm {~m} ^ { 3 }108 m3 
E)    1010 m310 ^ { 10 } \mathrm {~m} ^ { 3 }1010 m3F) B) and C)
G) A) and E)

Question 17

A solid object floats in water with three-fourths of its volume beneath the surface. What is the object's density? The density of water is  1000 kg/m31000 \mathrm {~kg} / \mathrm { m } ^ { 3 }1000 kg/m3

Accepted Answer

A)    1333 kg/m31333 \mathrm {~kg} / \mathrm { m } ^ { 3 }1333 kg/m3 
B)    250 kg/m3250 \mathrm {~kg} / \mathrm { m } ^ { 3 }250 kg/m3 
C)    1000 kg/m31000 \mathrm {~kg} / \mathrm { m } ^ { 3 }1000 kg/m3 
D)    750 kg/m3750 \mathrm {~kg} / \mathrm { m } ^ { 3 }750 kg/m3E) All of the above
F) A) and C)

Question 18

A  13,000-N vehicle is to be lifted by a  25-cm  diameter hydraulic piston. What force needs to be applied to a  5.0 cm diameter piston to accomplish this? Assume the pistons each have negligible weight.

Accepted Answer

A)    5200 N
B)    520 N
C)    2600 N
D)    260 NE) A) and D)
F) B) and D)

Question 19

A cubical block of stone is lowered at a steady rate into the ocean by a crane, always keeping the top and bottom faces horizontal. Which one of the following graphs best describes the absolute (total)  pressure p on the bottom of this block as a function of time t if the block just enters the water at time t = 0 s?

Accepted Answer

A)   
B)   
C)   
D)   
E)  F) A) and B)
G) A) and C)

Question 20

Ideal incompressible water flows through a horizontal pipe of cross-sectional area  10.0 cm210.0 \mathrm {~cm} ^ { 2 }10.0 cm2  at a pressure of  0.250  atm with a volume flow rate of  1.00×10−3 m3/s1.00 	imes 10 ^ { - 3 } \mathrm {~m} ^ { 3 } / \mathrm { s }1.00×10−3 m3/s  At a valve, the effective cross-sectional area of the pipe is reduced to  5.00 cm25.00 \mathrm {~cm} ^ { 2 }5.00 cm2  What is the pressure at the valve?

Accepted Answer

A)   0.235 atm
B)   0.112 atm
C)   0.200 atm
D)   0.157 atm E) C) and D)
F) A) and B)

Exam 10: Fluids

Consider a very small hole in the bottom of a tank that is 17.0 cm in diameter and filled with water to a height of 90.0 cm. Find the speed at which the water exits the tank through the hole.

Correct Answer
verified

Substance A has a density of 3 g/cm³ and substance Bhas a density of 4 g/cm³. In order to obtain equal masses of these two substances, what must be the ratio of the volume of A to the volume of

Correct Answer
verified

Correct Answer
verified

For a certain patient, the build-up of fatty tissue on the wall of an artery has decreased the arterial radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant volume of blood flow? Model the blood as an ideal incompressible fluid.

Correct Answer
verified

Correct Answer
verified

Water flows out of a large reservoir through 5.0-cm diameter pipe. The pipe connects to a 3.0-cm diameter pipe that is open to the atmosphere, as shown in the figure. What is the speed of the water in the 5.0-cm pipe? Treat the water as an ideal incompressible fluid.

Correct Answer
verified

A 100-kg person sits on a 5-kg bicycle. The total weight is borne equally by the two wheels of the bicycle. The tires are 2.0 cm wide and are inflated to a gauge pressure of $8.0 \times 10 ^ { 5 } \mathrm {~Pa}$ What length of each tire is in contact with the ground?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

An incompressible ideal fluid flows steadily through a pipe that has a change in diameter. The fluid speed at a location where the pipe diameter is 8.0 cm is 1.28 m/s . What is the fluid speed at a location where the diameter has narrowed to 4.0 cm?

Correct Answer
verified

A solid object floats in water with three-fourths of its volume beneath the surface. What is the object's density? The density of water is $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$

Correct Answer
verified

Water, which we can treat as ideal and incompressible, flows at 12 m/s in a horizontal pipe with a pressure of $3.0 \times 10 ^ { 4 } \mathrm {~Pa}$ If the pipe widens to twice its original radius, what is the pressure in the wider section?

Correct Answer
verified

Correct Answer
verified

A brick weighs 50.0 N, and measures $30.0 \mathrm {~cm} \times 10.0 \mathrm {~cm} \times 4.00 \mathrm {~cm}$ What is the maximum pressure it can exert on a horizontal surface due to its weight?

Correct Answer
verified

Water is flowing in a drainage channel of rectangular cross-section. The width of the channel is 15 m, the depth of water is 8.0 m, and the speed of the flow is 2.5 m/s. What is the mass flow rate of the water? The density of water is $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$

Correct Answer
verified

A 1938 nickel has a diameter of 21.21 mm, a thickness of 1.95 mm, and weighs 0.04905 N. What is its density?

Correct Answer
verified

If a ship has a mass of 10 million kilograms, what volume of fresh water must it displace in order to float? The density of water is $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$

Correct Answer
verified

A 13,000-N vehicle is to be lifted by a 25-cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish this? Assume the pistons each have negligible weight.

Correct Answer
verified

A 4.7-kg solid sphere, made of metal whose density is $4000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$ hangs by a light cord. When the sphere is immersed in water, what is the tension in the cord? The density of water is 1000 $\mathrm { kg } / \mathrm { m } ^ { 3 } \text {. }$

Correct Answer
verified

Exam 10: Fluids

Consider a very small hole in the bottom of a tank that is 17.0 cm in diameter and filled with water to a height of 90.0 cm. Find the speed at which the water exits the tank through the hole.

Correct AnswerverifiedShow Answer

Substance A has a density of 3 g/cm3 and substance Bhas a density of 4 g/cm3. In order to obtain equal masses of these two substances, what must be the ratio of the volume of A to the volume of

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

For a certain patient, the build-up of fatty tissue on the wall of an artery has decreased the arterial radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant volume of blood flow? Model the blood as an ideal incompressible fluid.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Water flows out of a large reservoir through 5.0-cm diameter pipe. The pipe connects to a 3.0-cm diameter pipe that is open to the atmosphere, as shown in the figure. What is the speed of the water in the 5.0-cm pipe? Treat the water as an ideal incompressible fluid.

Correct AnswerverifiedShow Answer

A 100-kg person sits on a 5-kg bicycle. The total weight is borne equally by the two wheels of the bicycle. The tires are 2.0 cm wide and are inflated to a gauge pressure of 8.0×105 Pa8.0 \times 10 ^ { 5 } \mathrm {~Pa}8.0×105 Pa What length of each tire is in contact with the ground?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

An incompressible ideal fluid flows steadily through a pipe that has a change in diameter. The fluid speed at a location where the pipe diameter is 8.0 cm is 1.28 m/s . What is the fluid speed at a location where the diameter has narrowed to 4.0 cm?

Correct AnswerverifiedShow Answer

A solid object floats in water with three-fourths of its volume beneath the surface. What is the object's density? The density of water is 1000 kg/m31000 \mathrm {~kg} / \mathrm { m } ^ { 3 }1000 kg/m3

Correct AnswerverifiedShow Answer

Water, which we can treat as ideal and incompressible, flows at 12 m/s in a horizontal pipe with a pressure of 3.0×104 Pa3.0 \times 10 ^ { 4 } \mathrm {~Pa}3.0×104 Pa If the pipe widens to twice its original radius, what is the pressure in the wider section?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A brick weighs 50.0 N, and measures 30.0 cm×10.0 cm×4.00 cm30.0 \mathrm {~cm} \times 10.0 \mathrm {~cm} \times 4.00 \mathrm {~cm}30.0 cm×10.0 cm×4.00 cm What is the maximum pressure it can exert on a horizontal surface due to its weight?

Correct AnswerverifiedShow Answer

Water is flowing in a drainage channel of rectangular cross-section. The width of the channel is 15 m, the depth of water is 8.0 m, and the speed of the flow is 2.5 m/s. What is the mass flow rate of the water? The density of water is 1000 kg/m31000 \mathrm {~kg} / \mathrm { m } ^ { 3 }1000 kg/m3

Correct AnswerverifiedShow Answer

A 1938 nickel has a diameter of 21.21 mm, a thickness of 1.95 mm, and weighs 0.04905 N. What is its density?

Correct AnswerverifiedShow Answer

If a ship has a mass of 10 million kilograms, what volume of fresh water must it displace in order to float? The density of water is 1000 kg/m31000 \mathrm {~kg} / \mathrm { m } ^ { 3 }1000 kg/m3

Correct AnswerverifiedShow Answer

A 13,000-N vehicle is to be lifted by a 25-cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish this? Assume the pistons each have negligible weight.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct Answer
verified

Substance A has a density of 3 g/cm³ and substance Bhas a density of 4 g/cm³. In order to obtain equal masses of these two substances, what must be the ratio of the volume of A to the volume of

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

A 100-kg person sits on a 5-kg bicycle. The total weight is borne equally by the two wheels of the bicycle. The tires are 2.0 cm wide and are inflated to a gauge pressure of $8.0 \times 10 ^ { 5 } \mathrm {~Pa}$ What length of each tire is in contact with the ground?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

A solid object floats in water with three-fourths of its volume beneath the surface. What is the object's density? The density of water is $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$

Correct Answer
verified

Water, which we can treat as ideal and incompressible, flows at 12 m/s in a horizontal pipe with a pressure of $3.0 \times 10 ^ { 4 } \mathrm {~Pa}$ If the pipe widens to twice its original radius, what is the pressure in the wider section?

Correct Answer
verified

Correct Answer
verified

A brick weighs 50.0 N, and measures $30.0 \mathrm {~cm} \times 10.0 \mathrm {~cm} \times 4.00 \mathrm {~cm}$ What is the maximum pressure it can exert on a horizontal surface due to its weight?

Correct Answer
verified

Water is flowing in a drainage channel of rectangular cross-section. The width of the channel is 15 m, the depth of water is 8.0 m, and the speed of the flow is 2.5 m/s. What is the mass flow rate of the water? The density of water is $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$

Correct Answer
verified

Correct Answer
verified

If a ship has a mass of 10 million kilograms, what volume of fresh water must it displace in order to float? The density of water is $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified