Question 1

The force exerted by a stationary liquid on an inclined rectangular surface at rest in the liquid

Accepted Answer

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. 
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.

Question 2

A block of wood of relative density 0.750 and dimensions 20.3 cm $\times$ 30.5 cm $\times$ 40.6 cm is tossed into a choppy freshwater lake. After a reasonable time, the approximate vertical dimension above the water will be

Accepted Answer

A)  2.54 cm 
B)  5.08 cm 
C)  7.62 cm 
D)  10.2 cm 
E)  12.7 cm 
A)  2.54 cm 
B)  5.08 cm 
C)  7.62 cm 
D)  10.2 cm 
E)  12.7 cm

Question 3

A block of material has a density $\rho$. A second block of equal volume has three times the mass of the first. What is the density of the second block?

Accepted Answer

A)  $\rho$ 
B)  3$\rho$ 
C)  $\rho$/3 
D)  9$\rho$ 
E)  $\rho$/9 
A)  $\rho$ 
B)  3$\rho$ 
C)  $\rho$/3 
D)  9$\rho$ 
E)  $\rho$/9

Question 4

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

Accepted Answer

A)  Po 
B)  Po +   $\rho$gh 
C)    $\rho$gh 
D)  $\rho$gh 
E)  depends how fast the shuttle is moving 
A)  Po 
B)  Po +   $\rho$gh 
C)    $\rho$gh 
D)  $\rho$gh 
E)  depends how fast the shuttle is moving

Question 5

Which gas has the lowest density under standard temperature and pressure?

Accepted Answer

A)  hydrogen 
B)  helium 
C)  oxygen 
D)  nitrogen 
E)  carbon dioxide 
A)  hydrogen 
B)  helium 
C)  oxygen 
D)  nitrogen 
E)  carbon dioxide

Question 6

A block of material has a density $\rho$. A second block of equal mass has twice the volume of the first. What is the density of the second block?

Accepted Answer

A)  $\rho$ 
B)  2$\rho$ 
C)  $\rho$/2 
D)  4$\rho$ 
E)  $\rho$/4 
A)  $\rho$ 
B)  2$\rho$ 
C)  $\rho$/2 
D)  4$\rho$ 
E)  $\rho$/4

Question 7

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

Accepted Answer

A)  0.38 m 
B)  0.57 m 
C)  0.22 m 
D)  0.42 m 
E)  None of these is correct. 
A)  0.38 m 
B)  0.57 m 
C)  0.22 m 
D)  0.42 m 
E)  None of these is correct.

Question 8

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/m3 and 0.18 kg/m3 respectively.

Accepted Answer

A)  62 m 
B)  8.0 m 
C)  4.0 m 
D)  20 m 
E)  5.0 m 
A)  62 m 
B)  8.0 m 
C)  4.0 m 
D)  20 m 
E)  5.0 m

Question 9

A block of wood of mass 300 g and density 0.75 g/cm3 is floating on the surface of a liquid of density 1.1 g/cm3. What mass of lead (density = 11.3 g/cm3) must be added to the block in order for the combination just to be submerged?

Accepted Answer

A)  440 g 
B)  820 g 
C)  140 g 
D)  155 g 
E)  none of the above 
A)  440 g 
B)  820 g 
C)  140 g 
D)  155 g 
E)  none of the above

Question 10

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

Accepted Answer

A)  PC A E D B  
B)  PE D C B A  
C)  PA B C D E  
D)  PE D = PC B A  
E)  None of these is correct. 
A)  PC A E D B  
B)  PE D C B A  
C)  PA B C D E  
D)  PE D = PC B A  
E)  None of these is correct.

Question 11

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?

Accepted Answer

A)  7.5 km 
B)  11 km 
C)  16.5 km 
D)  22 km 
E)  27.5 km 
A)  7.5 km 
B)  11 km 
C)  16.5 km 
D)  22 km 
E)  27.5 km

Question 12

A tube with a radius of 4.2 cm is holding oil that has a density of 0.92 g/cm3. The pressure in the oil at a depth of 64 cm from the top of the surface is

Accepted Answer

A)  5.8 $\times$ 102 Pa 
B)  5.8 $\times$ 103 Pa 
C)  1.0 $\times$ 102 Pa 
D)  1.0 $\times$ 106 Pa 
E)  1.7 $\times$ 103 Pa 
A)  5.8 $\times$ 102 Pa 
B)  5.8 $\times$ 103 Pa 
C)  1.0 $\times$ 102 Pa 
D)  1.0 $\times$ 106 Pa 
E)  1.7 $\times$ 103 Pa

Question 13

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?

Accepted Answer

A)  P 
B)  2P 
C)  3P 
D)  3P/2 
E)  3P/4 
A)  P 
B)  2P 
C)  3P 
D)  3P/2 
E)  3P/4

Question 14

Which conservation law governs the Bernoulli's equation?

Accepted Answer

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. 
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.

Question 15

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

Accepted Answer

A)  0.85 min 
B)  1.4 min 
C)  2.0 min 
D)  2.9 min 
E)  infinite 
A)  0.85 min 
B)  1.4 min 
C)  2.0 min 
D)  2.9 min 
E)  infinite

Question 16

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.

Accepted Answer

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 
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

Question 17

A solid wooden sphere of volume 0.0100 m3 floats freely exactly one-half submerged in a liquid of density 800 kg/m3. 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?

Accepted Answer

A)  zero 
B)  2.00 N 
C)  39.2 N 
D)  4.00 N 
E)  78.4 N 
A)  zero 
B)  2.00 N 
C)  39.2 N 
D)  4.00 N 
E)  78.4 N

Question 18

A block of wood of mass 400 g and density 0.8 g/cm3 is floating on the surface of a liquid of density 1.3 g/cm3. What is the difference in mass of stone (density = 1.9 g/cm3) 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?

Accepted Answer

A)  250 g 
B)  540 g 
C)  170 g 
D)  790 g 
E)  none of the above 
A)  250 g 
B)  540 g 
C)  170 g 
D)  790 g 
E)  none of the above

Question 19

A beaker is filled with water. A ball of mass m and density $\rho$ 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?

Accepted Answer

A)    
B)    
C)  mg 
D)    
E)    
A)    
B)    
C)  mg 
D)    
E)

Question 20

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

Accepted Answer

A)  2Mg 
B)  Mg 
C)  Mg/2 
D)  zero 
E)  impossible to determine from the information given. 
A)  2Mg 
B)  Mg 
C)  Mg/2 
D)  zero 
E)  impossible to determine from the information given.

The force exerted by a stationary liquid on an inclined rectangular surface at rest in the liquid

A block of wood of relative density 0.750 and dimensions 20.3 cm $\times$ 30.5 cm $\times$ 40.6 cm is tossed into a choppy freshwater lake. After a reasonable time, the approximate vertical dimension above the water will be

A block of material has a density $\rho$ . A second block of equal volume has three times the mass of the first. What is the density of the second block?

A container of height, h, is filled with water of density $\rho$ , 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

Which gas has the lowest density under standard temperature and pressure?

A block of material has a density $\rho$ . A second block of equal mass has twice the volume of the first. What is the density of the second block?

A block of wood of mass 300 g and density 0.75 g/cm³ is floating on the surface of a liquid of density 1.1 g/cm³. What mass of lead (density = 11.3 g/cm³) must be added to the block in order for the combination just to be submerged?

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

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 tube with a radius of 4.2 cm is holding oil that has a density of 0.92 g/cm³. The pressure in the oil at a depth of 64 cm from the top of the surface is

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?

Which conservation law governs the Bernoulli's equation?

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 solid wooden sphere of volume 0.0100 m³ floats freely exactly one-half submerged in a liquid of density 800 kg/m³. 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 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

Systems of Measurement

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Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

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Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

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Static Equilibrium and Elasticity

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Temperature and the Kinetic Theory of Gases

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Exam 13: Fluids

The force exerted by a stationary liquid on an inclined rectangular surface at rest in the liquid

A block of wood of relative density 0.750 and dimensions 20.3 cm ×\times× 30.5 cm ×\times× 40.6 cm is tossed into a choppy freshwater lake. After a reasonable time, the approximate vertical dimension above the water will be

A block of material has a density ρ\rhoρ . A second block of equal volume has three times the mass of the first. What is the density of the second block?

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

Which gas has the lowest density under standard temperature and pressure?

A block of material has a density ρ\rhoρ . A second block of equal mass has twice the volume of the first. What is the density of the second block?

A block of wood of mass 300 g and density 0.75 g/cm3 is floating on the surface of a liquid of density 1.1 g/cm3. What mass of lead (density = 11.3 g/cm3) must be added to the block in order for the combination just to be submerged?

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

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 tube with a radius of 4.2 cm is holding oil that has a density of 0.92 g/cm3. The pressure in the oil at a depth of 64 cm from the top of the surface is

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?

Which conservation law governs the Bernoulli's equation?

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 solid wooden sphere of volume 0.0100 m3 floats freely exactly one-half submerged in a liquid of density 800 kg/m3. 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 beaker is filled with water. A ball of mass m and density ρ\rhoρ < ρ\rhoρ 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 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

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

A block of wood of relative density 0.750 and dimensions 20.3 cm $\times$ 30.5 cm $\times$ 40.6 cm is tossed into a choppy freshwater lake. After a reasonable time, the approximate vertical dimension above the water will be

A block of material has a density $\rho$ . A second block of equal volume has three times the mass of the first. What is the density of the second block?

A container of height, h, is filled with water of density $\rho$ , 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 block of material has a density $\rho$ . A second block of equal mass has twice the volume of the first. What is the density of the second block?

A block of wood of mass 300 g and density 0.75 g/cm³ is floating on the surface of a liquid of density 1.1 g/cm³. What mass of lead (density = 11.3 g/cm³) must be added to the block in order for the combination just to be submerged?

A tube with a radius of 4.2 cm is holding oil that has a density of 0.92 g/cm³. The pressure in the oil at a depth of 64 cm from the top of the surface is

A solid wooden sphere of volume 0.0100 m³ floats freely exactly one-half submerged in a liquid of density 800 kg/m³. 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?