Water flows in the horizontal pipe shown in the figure.At A,the diameter is 5.00 cm,and at B,the diameter is 4.00 cm.The fluid in the manometer is mercury,which has a density of 13,600 kg/m3.The manometer reading h is 4.40 cm.We can treat water as an ideal fluid having a density of 1000 kg/m3.What volume of water is flowing through the pipe per second?

A) 0.0206 /s B) 0.0426 /s C) 0.00560 /s D) 0.372 /s E) 0.186 /s A) 0.0206 /s B) 0.0426 /s C) 0.00560 /s D) 0.372 /s E) 0.186 /s

A) the ratio of the change in length to the original length. B) the stress per unit area. C) the same as force. D) the applied force per cross-sectional area. E) the ratio of stress to elastic modulus. A) the ratio of the change in length to the original length. B) the stress per unit area. C) the same as force. D) the applied force per cross-sectional area. E) the ratio of stress to elastic modulus.

At a depth of about 1030 m in the sea,the pressure has increased by 100 atmospheres (to 1.0 × 107 N/m2).By how much has 1.0 m3 of water been compressed by this pressure? The bulk modulus of water is 2.3 × 109 N/m2.

A) 2.3 × 10-3 m3 B) 3.3 × 10-3 m3 C) 4.3 × 10-3 m3 D) 5.3 × 10-3 m3 E) 6.3 × 10-3 m3 A) 2.3 × 10-3 m3 B) 3.3 × 10-3 m3 C) 4.3 × 10-3 m3 D) 5.3 × 10-3 m3 E) 6.3 × 10-3 m3

Exam 14: Fluids and Elasticity

Two compressible solids are formed into spheres of the same size.The bulk modulus of sphere two is twice as large as the bulk modulus of sphere one.You now increase the pressure on both spheres by the same amount.As a result of the increased pressure,how is the change in volume of sphere two related to the change in volume of sphere one ?

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Question 1

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A level pipe contains a nonviscous,incompressible fluid with a density 1200 kg/m³ that is flowing steadily.At one position within the pipe,the pressure is 300 kPa and the speed of the flow is 20.0 m/s.At another position,the pressure is 200 kPa.What is the speed of the flow at this second position?

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A circular cylinder of height 1.20 m having faces of diameter 0.620 m is immersed in water of density 1.00 × 10³ kg/m³ with its axis vertical so that its faces are parallel to the surface of the water.The upper face is 2.50 m below the surface of the water.The net force on this cylinder is observed to be 1120 N downward.Atmospheric pressure is 1.01 × 10⁵ Pa.What is the weight of the cylinder?

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Question 3

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Water,of density 1000 kg/m³,is flowing in a drainage channel of rectangular cross-section.The width of the channel is 15 m,the depth of the water is 8.0 m and the speed of the flow is 2.5 m/s.At what rate is water flowing in this channel?

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Question 4

A piece of wood is floating in a bathtub.A second piece of wood sits on top of the first piece,and does not touch the water.If the top piece is taken off and placed in the water,what happens to the water level in the tub?

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Question 5

Water flows in the horizontal pipe shown in the figure.At A,the diameter is 5.00 cm,and at B,the diameter is 4.00 cm.The fluid in the manometer is mercury,which has a density of 13,600 kg/m³.The manometer reading h is 4.40 cm.We can treat water as an ideal fluid having a density of 1000 kg/m³.What volume of water is flowing through the pipe per second?

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Question 6

Tensile strain is

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Question 7

A large cylindrical water tank is mounted on a platform with its central axis vertical.The water level is 3.75 m above the base of the tank,and base is 6.50 m above the ground.A small hole 2.22 mm in diameter has formed in the base of the tank.Both the hole and the top of the tank are open to the air.We can ignore air resistance and treat water as an ideal fluid with a density of 1000 kg/m³. (a)How many cubic meters of water per second is this tank losing? (b)How fast is the water from the hole moving just as it reaches the ground?

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Question 8

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

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Question 9

A 7.8-kg solid sphere,made of metal whose density is 2500 kg/ ,is suspended by a cord.When the sphere is immersed in water (of density 1000 kg/m³),what is the tension in the cord?

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Question 10

When the pressure applied to an unknown liquid is increased from 1.0 × 10⁷ N/m² to 5.5 × 10⁷ N/m²,the volume of the liquid decreases by 0.70%.Calculate the bulk modulus of the liquid.

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Question 11

An incompressible 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?

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Question 12

One of the dangers of tornados and hurricanes is the rapid drop in air pressure that is associated with such storms.Assume that the air pressure inside of a sealed house is 1.02 atm when a hurricane hits.The hurricane rapidly decreases the external air pressure to 0.910 atm.A square window in an outside wall of the house measures 2.02 m on each side.What net force (directed outwards)is exerted on this window? (1 atm = 1.01 × 10⁵ Pa.)

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Question 13

A 6.1-kg solid sphere,made of metal whose density is 2600 kg/ ,is suspended by a cord.When the sphere is immersed in a liquid of unknown density,the tension in the cord is 26 N.Find the density of the liquid.

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Question 14

An aluminum wire and a steel wire,each of length 2.0 m,are hung from the ceiling.A 5.0-kg mass is suspended from the lower end of each wire.The aluminum wire has a diameter of 2.2 mm.What must be the diameter of the steel wire if it is to stretch the same distance as the aluminum wire,so that the two wires maintain equal lengths after the masses are attached? Young's modulus for aluminum is 0.70 × 10¹¹ N/m² and for steel it is 2.0 × 10¹¹ N/m².

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Question 15

A steel guitar string with a diameter of 0.300 mm and a length of 70.0 cm is stretched by 0.500 mm while being tuned.How much force is needed to stretch the string by this amount? Young's modulus for steel is 2.0 × 10¹¹ N/m².

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Question 16

A cup of water containing an ice cube at 0°C is filled to the brim.The tip of the ice cube sticks out of the surface.As the ice melts,you observe that

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Question 17

A barge is 15.0 m wide and 75.0 m long and has vertical sides.The bottom of the hull is 1.20 m below the water surface.What is the weight of the barge and its cargo,if it is floating in fresh water of density 1000 kg/m³?

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Question 18

At a depth of about 1030 m in the sea,the pressure has increased by 100 atmospheres (to 1.0 × 10⁷N/m²).By how much has 1.0 m³ of water been compressed by this pressure? The bulk modulus of water is 2.3 × 10⁹ N/m².

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Question 19

Air is flowing through a rocket nozzle.Inside the rocket the air has a density of 5.25 kg/m³ and a speed of 1.20 m/s.The interior diameter of the rocket is 15.0 cm.At the nozzle exit,the diameter is 2.50 cm and the density is 1.29 kg/m³.What is the speed of the air when it leaves the nozzle?

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Question 20

Showing 1 - 20 of 72

Exam 14: Fluids and Elasticity

A level pipe contains a nonviscous,incompressible fluid with a density 1200 kg/m3 that is flowing steadily.At one position within the pipe,the pressure is 300 kPa and the speed of the flow is 20.0 m/s.At another position,the pressure is 200 kPa.What is the speed of the flow at this second position?

Water,of density 1000 kg/m3,is flowing in a drainage channel of rectangular cross-section.The width of the channel is 15 m,the depth of the water is 8.0 m and the speed of the flow is 2.5 m/s.At what rate is water flowing in this channel?

A piece of wood is floating in a bathtub.A second piece of wood sits on top of the first piece,and does not touch the water.If the top piece is taken off and placed in the water,what happens to the water level in the tub?

Tensile strain is

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

A 7.8-kg solid sphere,made of metal whose density is 2500 kg/ ,is suspended by a cord.When the sphere is immersed in water (of density 1000 kg/m3),what is the tension in the cord?

When the pressure applied to an unknown liquid is increased from 1.0 × 107 N/m2 to 5.5 × 107 N/m2,the volume of the liquid decreases by 0.70%.Calculate the bulk modulus of the liquid.

An incompressible 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?

A 6.1-kg solid sphere,made of metal whose density is 2600 kg/ ,is suspended by a cord.When the sphere is immersed in a liquid of unknown density,the tension in the cord is 26 N.Find the density of the liquid.

A steel guitar string with a diameter of 0.300 mm and a length of 70.0 cm is stretched by 0.500 mm while being tuned.How much force is needed to stretch the string by this amount? Young's modulus for steel is 2.0 × 1011 N/m2.

A cup of water containing an ice cube at 0°C is filled to the brim.The tip of the ice cube sticks out of the surface.As the ice melts,you observe that

A barge is 15.0 m wide and 75.0 m long and has vertical sides.The bottom of the hull is 1.20 m below the water surface.What is the weight of the barge and its cargo,if it is floating in fresh water of density 1000 kg/m3?

At a depth of about 1030 m in the sea,the pressure has increased by 100 atmospheres (to 1.0 × 107 N/m2).By how much has 1.0 m3 of water been compressed by this pressure? The bulk modulus of water is 2.3 × 109 N/m2.

Air is flowing through a rocket nozzle.Inside the rocket the air has a density of 5.25 kg/m3 and a speed of 1.20 m/s.The interior diameter of the rocket is 15.0 cm.At the nozzle exit,the diameter is 2.50 cm and the density is 1.29 kg/m3.What is the speed of the air when it leaves the nozzle?

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Water,of density 1000 kg/m³,is flowing in a drainage channel of rectangular cross-section.The width of the channel is 15 m,the depth of the water is 8.0 m and the speed of the flow is 2.5 m/s.At what rate is water flowing in this channel?

A 7.8-kg solid sphere,made of metal whose density is 2500 kg/ ,is suspended by a cord.When the sphere is immersed in water (of density 1000 kg/m³),what is the tension in the cord?

When the pressure applied to an unknown liquid is increased from 1.0 × 10⁷ N/m² to 5.5 × 10⁷ N/m²,the volume of the liquid decreases by 0.70%.Calculate the bulk modulus of the liquid.

A steel guitar string with a diameter of 0.300 mm and a length of 70.0 cm is stretched by 0.500 mm while being tuned.How much force is needed to stretch the string by this amount? Young's modulus for steel is 2.0 × 10¹¹ N/m².

A barge is 15.0 m wide and 75.0 m long and has vertical sides.The bottom of the hull is 1.20 m below the water surface.What is the weight of the barge and its cargo,if it is floating in fresh water of density 1000 kg/m³?

At a depth of about 1030 m in the sea,the pressure has increased by 100 atmospheres (to 1.0 × 10⁷N/m²).By how much has 1.0 m³ of water been compressed by this pressure? The bulk modulus of water is 2.3 × 10⁹ N/m².

Air is flowing through a rocket nozzle.Inside the rocket the air has a density of 5.25 kg/m³ and a speed of 1.20 m/s.The interior diameter of the rocket is 15.0 cm.At the nozzle exit,the diameter is 2.50 cm and the density is 1.29 kg/m³.What is the speed of the air when it leaves the nozzle?