Question 1

A vertical pipe,closed at the bottom end,is filled to a depth of 1.00 m with water and then an amount of oil of density $0.800 \times 10 ^ { 3 } \mathrm {~kg} / \mathrm { m } ^ { 3 }$ is added to make the total depth 2.00 m.The oil and water don't mix with the oil floating on top of the water.What is the increase in pressure at the bottom end of the pipe as a result of adding the fluids?

Accepted Answer

$1.76 \times 10 ^ { 4 } \mathrm {~N} / \mathrm { m } ^ { 2 }$

Question 2

A hole is punched in a full milk carton,10 cm below the top.What is the initial velocity of outflow?

Accepted Answer

A)  1.4 m/s
B)  2.0 m/s
C)  2.8 m/s
D)  3.9 m/s
E)  4.2 m/s A

Question 3

How much power is theoretically available from a mass flow of 1 000 kg/s of water when it falls a vertical distance of 100 meters?

Accepted Answer

A)  980 kW
B)  98 kW
C)  4 900 W
D)  980 W
E)  9 600 W A

Question 4

A fountain sends a stream of water 20.0 m up into the air.If the base of the stream is 10.0 cm in diameter,what power is required to send the water to this height?

Accepted Answer

The answer of A fountain sends a stream of water...

Question 5

A dictator has built a bunker for his use in emergencies.Its dimensions are shown below.When it floods to ground level during a tropical storm,the gauge pressure at point A,in Pa,is

Accepted Answer

A)  3.92 * 105.
B)  4.90 * 105.
C)  5.39 * 105.
D)  5.88 * 105.
E)  6.89 * 105.

Question 6

Some species of whales can dive to depths of one kilometer.What is the total pressure they experience at this depth? ($\rho$sea = 1 020 kg/m3 and 1.01 *105 N/m2 = 1 ATM. )

Accepted Answer

A)  9.00 ATM
B)  90.0 ATM
C)  100 ATM
D)  111 ATM
E)  130 ATM

Question 7

A wind of velocity 10 m/s is blowing through a wind generator with blade radius 5.00 meters.What is the maximum power output if 30.0% of the wind's energy can be extracted? $\rho$air = 1.25 kg/m3.

Accepted Answer

A)  7.20 kW
B)  14.7 kW
C)  21.3 kW
D)  29.4 kW
E)  39.6 kW

Question 8

An iron block of density $\rho$Fe and of volume l3 is immersed in a fluid of density $\rho$fluid.The block hangs from a scale which reads W as the weight.The top of the block is a height h below the surface of the fluid.The correct equation for the reading of the scale is

Accepted Answer

A)  W = ( ρ\rhoρ Fe- ρ\rhoρ fluid) ghl2.
B)  W = ( ρ\rhoρ fluid - ρ\rhoρ Fe) gl3.
C)  W = ( ρ\rhoρ Fe - ρ\rhoρ fluid) gl3.
D)  W = ( ρ\rhoρ Fe +  ρ\rhoρ fluid) ghl2.
E)  W = ( ρ\rhoρ Fe +  ρ\rhoρ fluid) gl3.

Question 9

A waiter in a restaurant fills a pitcher full of water and ice so that water would spill out if any more were added.As the ice starts to melt

Accepted Answer

A)  the water level in the pitcher falls.
B)  the water level in the pitcher remains the same.
C)  water starts to flow out the spout of the pitcher.
D)  the pressure on the bottom of the pitcher decreases.
E)  the pressure on the bottom of the pitcher increases.

Question 10

Exhibit 14-1 
A dictator has built a bunker for his use in emergencies.Its dimensions are shown below.When it floods to ground level during a tropical storm,air is trapped above the dashed line in the bunker.  Use this exhibit to answer the following question.
-Refer to Exhibit 14-1.The absolute pressure at point A,in Pa,is

Accepted Answer

A)  3.92* 105.
B)  4.90 *105.
C)  5.39 *105.
D)  5.88 * 105.
E)  6.89 * 105.

Question 11

The water level in identical bowls,A and B,is exactly the same.A contains only water;B contains floating ice as well as water.When we weigh the bowls,we find that

Accepted Answer

A)  WA B.
B)  WA = WB.
C)  WA > WB.
D)  WB > WA if the volume of the ice cubes is greater than  19\frac { 1 } { 9 }91​  the volume of the water.
E)  WB > WA if the volume of the ice cubes is greater than 9 times the volume of the water.

Question 12

A boat is floating in a small pond.The boat then sinks so that it is completely submerged.What happens to the level of the pond?

Accepted Answer

A)  It increases.
B)  It decreases.
C)  It stays the same.
D)  In some cases it would decrease,in others it would stay the same.
E)  In some cases it would increase,in others it would stay the same.

Question 13

The pressure inside a commercial airliner is maintained at 1 ATM (1.01 *105 N/m2).What is the outward force exerted on a 1.0 m * 2.0 m cabin door if the outside pressure (at 10 km height)is 0.3 ATM?

Accepted Answer

A)  1.4 *102 N
B)  1.4 *103 N
C)  1.4 *104 N
D)  1.4 *105 N
E)  7.0 * 103 N

Question 14

Two identical fish,both at sea level,float in two identical aquariums with identical quantities of water.Fish A is in Alaska,so it weighs more than fish B at the equator,since g is larger at sea level in Alaska.Which statement is correct?

Accepted Answer

A)  A comparison is impossible unless they are both floating at the same level.
B)  Fish A displaces a greater quantity of water than fish B.
C)  Fish B displaces a greater quantity of water than fish A.
D)  They both displace the same quantity of water.
E)  Fish A has a smaller acceleration than Fish B when equal horizontal forces are applied to each,because Fish A weighs more.

Question 15

A wood block is placed on top of the ice in a large bowl half full of ice.The bowl is then filled to the brim with water,with the wood block riding on top of the ice.As the ice melts,

Accepted Answer

A)  the density of the water decreases.
B)  the water level falls below the rim.
C)  the water level rises and water spills out of the bowl.
D)  the water level does not change.
E)  the wood block descends,causing water to spill out of the bowl.

Question 16

The siphon shown is used to transfer liquid from a higher level to a lower level.If the fluid is drawn up and is continuous through the tube,determine the velocity of flow of gasoline if the vertical distance from the liquid surface to the outlet is 1.0 m.

Accepted Answer

A)  1.1 m/s
B)  2.2 m/s
C)  4.4 m/s
D)  9.8 m/s
E)  6.5 m/s

Question 17

One hundred milliliters of water is poured into a U-tube that has a cross-sectional area of 1 cm².Then 100 milliliters of oil,with a density 80% that of water,is poured down one side of the U-tube so that the oil floats on the water.Find the difference in height of the liquid surfaces on the two sides of the U-tube.

Accepted Answer

The answer of One hundred milliliters of water is poured...

Question 18

An empty spice bottle has an inner volume of 1.31 *10 - 4 m3.It has a mass of 112 g when filled with air,and it displaces 1.63 *10 - 4 m3 of water when fully submerged.What volume of mercury ($\rho$Hg = 13.6*103 kg/m3)must be added to the empty bottle so that it will just submerge?

Accepted Answer

A)  3.75 cm3
B)  12.0 cm3
C)  101 cm3
D)  147 cm3
E)  237 cm3

Question 19

Water is flowing at 4.0 m/s in a circular pipe.If the diameter of the pipe decreases to 1/2 its former value,what is the velocity of the water downstream?

Accepted Answer

A)  1.0 m/s
B)  2.0 m/s
C)  8.0 m/s
D)  16 m/s
E)  4.0 m/s

Question 20

The figure below shows a container filled with water to the height shown.When we compare the pressure at A to the pressure at B,we find that

Accepted Answer

A)    pA=14pBp _ { A } = \frac { 1 } { 4 } p _ { B }pA​=41​pB​  .
B)    pA=12pBp _ { A } = \frac { 1 } { 2 } p _ { B }pA​=21​pB​  .
C)  pA = pB.
D)  pA = 2pB.
E)  pA = 4pB.

Exam 15: Fluid Mechanics

A hole is punched in a full milk carton,10 cm below the top.What is the initial velocity of outflow?

How much power is theoretically available from a mass flow of 1 000 kg/s of water when it falls a vertical distance of 100 meters?

A fountain sends a stream of water 20.0 m up into the air.If the base of the stream is 10.0 cm in diameter,what power is required to send the water to this height?

A dictator has built a bunker for his use in emergencies.Its dimensions are shown below.When it floods to ground level during a tropical storm,the gauge pressure at point A,in Pa,is

Some species of whales can dive to depths of one kilometer.What is the total pressure they experience at this depth? ( $\rho$ _sea = 1 020 kg/m³ and 1.01 *10⁵ N/m² = 1 ATM. )

A wind of velocity 10 m/s is blowing through a wind generator with blade radius 5.00 meters.What is the maximum power output if 30.0% of the wind's energy can be extracted? $\rho$ _air = 1.25 kg/m³.

An iron block of density $\rho$ _Fe and of volume l³ is immersed in a fluid of density $\rho$ _fluid.The block hangs from a scale which reads W as the weight.The top of the block is a height h below the surface of the fluid.The correct equation for the reading of the scale is

A waiter in a restaurant fills a pitcher full of water and ice so that water would spill out if any more were added.As the ice starts to melt

The water level in identical bowls,A and B,is exactly the same.A contains only water;B contains floating ice as well as water.When we weigh the bowls,we find that

A boat is floating in a small pond.The boat then sinks so that it is completely submerged.What happens to the level of the pond?

The pressure inside a commercial airliner is maintained at 1 ATM (1.01 10⁵ N/m²) .What is the outward force exerted on a 1.0 m 2.0 m cabin door if the outside pressure (at 10 km height) is 0.3 ATM?

Two identical fish,both at sea level,float in two identical aquariums with identical quantities of water.Fish A is in Alaska,so it weighs more than fish B at the equator,since g is larger at sea level in Alaska.Which statement is correct?

A wood block is placed on top of the ice in a large bowl half full of ice.The bowl is then filled to the brim with water,with the wood block riding on top of the ice.As the ice melts,

The siphon shown is used to transfer liquid from a higher level to a lower level.If the fluid is drawn up and is continuous through the tube,determine the velocity of flow of gasoline if the vertical distance from the liquid surface to the outlet is 1.0 m.

An empty spice bottle has an inner volume of 1.31 10 ^- ⁴ m³.It has a mass of 112 g when filled with air,and it displaces 1.63 10 ^- ⁴ m³ of water when fully submerged.What volume of mercury ( $\rho$ _Hg = 13.6*10³ kg/m³) must be added to the empty bottle so that it will just submerge?

Water is flowing at 4.0 m/s in a circular pipe.If the diameter of the pipe decreases to 1/2 its former value,what is the velocity of the water downstream?

Exam 15: Fluid Mechanics

A hole is punched in a full milk carton,10 cm below the top.What is the initial velocity of outflow?

How much power is theoretically available from a mass flow of 1 000 kg/s of water when it falls a vertical distance of 100 meters?

A fountain sends a stream of water 20.0 m up into the air.If the base of the stream is 10.0 cm in diameter,what power is required to send the water to this height?

A dictator has built a bunker for his use in emergencies.Its dimensions are shown below.When it floods to ground level during a tropical storm,the gauge pressure at point A,in Pa,is

Some species of whales can dive to depths of one kilometer.What is the total pressure they experience at this depth? ( ρ\rhoρ sea = 1 020 kg/m3 and 1.01 *105 N/m2 = 1 ATM. )

A wind of velocity 10 m/s is blowing through a wind generator with blade radius 5.00 meters.What is the maximum power output if 30.0% of the wind's energy can be extracted? ρ\rhoρ air = 1.25 kg/m3.

An iron block of density ρ\rhoρ Fe and of volume l3 is immersed in a fluid of density ρ\rhoρ fluid.The block hangs from a scale which reads W as the weight.The top of the block is a height h below the surface of the fluid.The correct equation for the reading of the scale is

A waiter in a restaurant fills a pitcher full of water and ice so that water would spill out if any more were added.As the ice starts to melt

The water level in identical bowls,A and B,is exactly the same.A contains only water;B contains floating ice as well as water.When we weigh the bowls,we find that

A boat is floating in a small pond.The boat then sinks so that it is completely submerged.What happens to the level of the pond?

The pressure inside a commercial airliner is maintained at 1 ATM (1.01 *105 N/m2) .What is the outward force exerted on a 1.0 m * 2.0 m cabin door if the outside pressure (at 10 km height) is 0.3 ATM?

Two identical fish,both at sea level,float in two identical aquariums with identical quantities of water.Fish A is in Alaska,so it weighs more than fish B at the equator,since g is larger at sea level in Alaska.Which statement is correct?

A wood block is placed on top of the ice in a large bowl half full of ice.The bowl is then filled to the brim with water,with the wood block riding on top of the ice.As the ice melts,

The siphon shown is used to transfer liquid from a higher level to a lower level.If the fluid is drawn up and is continuous through the tube,determine the velocity of flow of gasoline if the vertical distance from the liquid surface to the outlet is 1.0 m.

An empty spice bottle has an inner volume of 1.31 *10 - 4 m3.It has a mass of 112 g when filled with air,and it displaces 1.63 *10 - 4 m3 of water when fully submerged.What volume of mercury ( ρ\rhoρ Hg = 13.6*103 kg/m3) must be added to the empty bottle so that it will just submerge?

Water is flowing at 4.0 m/s in a circular pipe.If the diameter of the pipe decreases to 1/2 its former value,what is the velocity of the water downstream?

The figure below shows a container filled with water to the height shown.When we compare the pressure at A to the pressure at B,we find that

Some species of whales can dive to depths of one kilometer.What is the total pressure they experience at this depth? ( $\rho$ _sea = 1 020 kg/m³ and 1.01 *10⁵ N/m² = 1 ATM. )

A wind of velocity 10 m/s is blowing through a wind generator with blade radius 5.00 meters.What is the maximum power output if 30.0% of the wind's energy can be extracted? $\rho$ _air = 1.25 kg/m³.

An iron block of density $\rho$ _Fe and of volume l³ is immersed in a fluid of density $\rho$ _fluid.The block hangs from a scale which reads W as the weight.The top of the block is a height h below the surface of the fluid.The correct equation for the reading of the scale is

The pressure inside a commercial airliner is maintained at 1 ATM (1.01 10⁵ N/m²) .What is the outward force exerted on a 1.0 m 2.0 m cabin door if the outside pressure (at 10 km height) is 0.3 ATM?

An empty spice bottle has an inner volume of 1.31 10 ^- ⁴ m³.It has a mass of 112 g when filled with air,and it displaces 1.63 10 ^- ⁴ m³ of water when fully submerged.What volume of mercury ( $\rho$ _Hg = 13.6*10³ kg/m³) must be added to the empty bottle so that it will just submerge?