Substance A has a density of 3 g/cm3 and substance B has 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 B?

A) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 1 } { 3 }$ B) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 4 } { 3 }$ C) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 3 } { 4 }$ D) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\sqrt { \frac { 3 } { 4 } }$ E) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 3 } { 1 }$ A) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 1 } { 3 }$ B) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 4 } { 3 }$ C) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 3 } { 4 }$ D) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\sqrt { \frac { 3 } { 4 } }$ E) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 3 } { 1 }$

The density of material at the center of a neutron star is approximately 1.00 × 1018 kg/m3. What is the mass of a cube of this material that is $1.76 \text { microns }$ on each side. (One micron is equal to 1.00 × 10-6 m.)

A) 5.45 kg B) 4.74 kg C) 6.16 kg D) 6.70 kg A) 5.45 kg B) 4.74 kg C) 6.16 kg D) 6.70 kg

The bathyscaphe Trieste consists of a thin-walled but very strong cylindrical hull, 15.2 m long and 3.66 m in diameter, filled with gasoline with a density of 880 kg/m3 to make it buoyant. If it is totally submerged in seawater with a density of 1025 kg/m3 and neither rising nor sinking, what is the weight of the Trieste craft?

A) 127 kN B) 227 kN C) 327 kN D) 427 kN E) 527 kN A) 127 kN B) 227 kN C) 327 kN D) 427 kN E) 527 kN

Exam 13: Fluids

A solid sphere of mass 8.6 kg, made of metal whose density is 3400 kg/ $m ^ { 3 }$ , hangs by a cord. When the sphere is immersed in a liquid of unknown density, the tension in the cord is 38 N. The density of the liquid is closest to which one of the following values?

(Multiple Choice)

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Question 81

A 12,000-N car is raised using a hydraulic lift, which consists of a U-tube with arms of unequal areas, filled with oil and capped at both ends with tight-fitting pistons. The wider arm of the U-tube has a radius of 18.0 cm and the narrower arm has a radius of 5.00 cm. The car rests on the piston on the wider arm of the U-tube. The pistons are initially at the same level. What is the initial force that must be applied to the smaller piston in order to start lifting the car? For purposes of this problem, neglect the weight of the pistons.

(Multiple Choice)

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Question 82

A large cylindrical water tank 11.5 m in diameter and 13.5 m tall is supported with its base 8.75 m above the ground by a stand as shown in the figure. The water level in the tank is 10.6 m deep, and the density of the water in the tank is 1.00 g/cm³. A very small hole is formed at the base of the vertical wall of the tank, and water is squirting out of this hole horizontally. When this water hits the ground, how far has it traveled horizontally from the hole, assuming no air resistance?

(Short Answer)

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Question 83

The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,000 N. Assume the pistons each have negligible weight. (a) Determine the force that must be applied to the small piston. (b) Determine the pressure applied to the fluid in the lift.

(Short Answer)

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Question 84

A container has a vertical tube, whose inner radius is 12.00 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 $320 \mathrm {~kg} / \mathrm { m } ^ { 3 }$ The gauge pressure at level B is closest to $A container has a vertical tube, whose inner radius is 12.00 mm, connected to it at its side, as shown in the figure. An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B. The liquid supports a 20-cm high column of oil, between levels B and C, whose density is 320 \mathrm {~kg} / \mathrm { m } ^ { 3 } The gauge pressure at level B is closest to$

(Multiple Choice)

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Question 85

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?

(Multiple Choice)

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Question 86

A barge is 10 m wide and 60 m long and has vertical sides. The bottom of the boat is 1.2 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?

(Multiple Choice)

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Question 87

As shown in the figure, fluid fills a container having several sections. At which of the indicated points is the pressure greatest?

(Multiple Choice)

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Question 88

A closed cubical chamber resting on the floor contains oil and a piston. If you push down on the piston hard enough to increase the pressure just below the piston by an amount Δp, which of the following statements is correct? (There could be more than one correct choice.)

(Multiple Choice)

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Question 89

The deepest point of the Pacific Ocean is 11,033 m, in the Mariana Trench. What is the gauge pressure in the water at that point? The density of seawater is 1025 kg/m³.

(Multiple Choice)

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Question 90

A plastic block of dimensions 2.00 cm × 3.00 cm × 4.00 cm has a mass of 30.0 g. What is its density?

(Multiple Choice)

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Question 91

Substance A has a density of 3 g/cm³ and substance B has 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 B?

(Multiple Choice)

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Question 92

As a rock sinks deeper and deeper into water of constant density, what happens to the buoyant force on it if it started above the surface of the water?

(Multiple Choice)

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Question 93

A pressurized cylindrical tank, 5.0 m in diameter, contains water that emerges from the pipe at point C with a speed of $13 \mathrm {~m} / \mathrm { s }$ as shown in the figure. Point A is 10 m above point B and point C is 3.0 m above point B. The area of the pipe at point B is $0.080 \mathrm {~m} ^ { 2 }$ and the pipe narrows to an area of $0.040 \mathrm {~m} ^ { 2 }$ at point C. Assume that the water is an ideal fluid in laminar flow. The density of water is 1000 kg/m³ The mass flow rate in the pipe is closest to $A pressurized cylindrical tank, 5.0 m in diameter, contains water that emerges from the pipe at point C with a speed of 13 \mathrm {~m} / \mathrm { s } as shown in the figure. Point A is 10 m above point B and point C is 3.0 m above point B. The area of the pipe at point B is 0.080 \mathrm {~m} ^ { 2 } and the pipe narrows to an area of 0.040 \mathrm {~m} ^ { 2 } at point C. Assume that the water is an ideal fluid in laminar flow. The density of water is 1000 kg/m<sup>3</sup> The mass flow rate in the pipe is closest to$

(Multiple Choice)

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Question 94

A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks in a lake having water of density 1000 kg/m³?

(Multiple Choice)

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Question 95

A boat loaded with rocks is floating in a swimming pool. If the rocks are thrown into the pool, the water level in the pool, after the rocks have settled to the bottom,

(Multiple Choice)

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Question 96

Water flows out of a large reservoir through an open pipe, as shown in the figure. What is the speed of the water as it comes out of the pipe?

(Multiple Choice)

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Question 97

The density of material at the center of a neutron star is approximately 1.00 × 10¹⁸ kg/m³. What is the mass of a cube of this material that is $1.76 \text { microns }$ on each side. (One micron is equal to 1.00 × 10^-6 m.)

(Multiple Choice)

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Question 98

Water flows through a pipe. The diameter of the pipe at point B is larger than at point A. Where is the water pressure greatest?

(Multiple Choice)

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Question 99

The bathyscaphe Trieste consists of a thin-walled but very strong cylindrical hull, 15.2 m long and 3.66 m in diameter, filled with gasoline with a density of 880 kg/m³ to make it buoyant. If it is totally submerged in seawater with a density of 1025 kg/m³ and neither rising nor sinking, what is the weight of the Trieste craft?

(Multiple Choice)

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(77)

Question 100

Showing 81 - 100 of 115

Exam 13: Fluids

A solid sphere of mass 8.6 kg, made of metal whose density is 3400 kg/ m3m ^ { 3 }m3 , hangs by a cord. When the sphere is immersed in a liquid of unknown density, the tension in the cord is 38 N. The density of the liquid is closest to which one of the following values?

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?

A barge is 10 m wide and 60 m long and has vertical sides. The bottom of the boat is 1.2 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?

As shown in the figure, fluid fills a container having several sections. At which of the indicated points is the pressure greatest?

A closed cubical chamber resting on the floor contains oil and a piston. If you push down on the piston hard enough to increase the pressure just below the piston by an amount Δp, which of the following statements is correct? (There could be more than one correct choice.)

The deepest point of the Pacific Ocean is 11,033 m, in the Mariana Trench. What is the gauge pressure in the water at that point? The density of seawater is 1025 kg/m3.

A plastic block of dimensions 2.00 cm × 3.00 cm × 4.00 cm has a mass of 30.0 g. What is its density?

Substance A has a density of 3 g/cm3 and substance B has 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 B?

As a rock sinks deeper and deeper into water of constant density, what happens to the buoyant force on it if it started above the surface of the water?

A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks in a lake having water of density 1000 kg/m3?

A boat loaded with rocks is floating in a swimming pool. If the rocks are thrown into the pool, the water level in the pool, after the rocks have settled to the bottom,

Water flows out of a large reservoir through an open pipe, as shown in the figure. What is the speed of the water as it comes out of the pipe?

The density of material at the center of a neutron star is approximately 1.00 × 1018 kg/m3. What is the mass of a cube of this material that is 1.76 microns 1.76 \text { microns }1.76 microns on each side. (One micron is equal to 1.00 × 10-6 m.)

Water flows through a pipe. The diameter of the pipe at point B is larger than at point A. Where is the water pressure greatest?

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A solid sphere of mass 8.6 kg, made of metal whose density is 3400 kg/ $m ^ { 3 }$ , hangs by a cord. When the sphere is immersed in a liquid of unknown density, the tension in the cord is 38 N. The density of the liquid is closest to which one of the following values?

A barge is 10 m wide and 60 m long and has vertical sides. The bottom of the boat is 1.2 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?

The deepest point of the Pacific Ocean is 11,033 m, in the Mariana Trench. What is the gauge pressure in the water at that point? The density of seawater is 1025 kg/m³.

Substance A has a density of 3 g/cm³ and substance B has 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 B?

A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks in a lake having water of density 1000 kg/m³?

The density of material at the center of a neutron star is approximately 1.00 × 10¹⁸ kg/m³. What is the mass of a cube of this material that is $1.76 \text { microns }$ on each side. (One micron is equal to 1.00 × 10^-6 m.)