Question 1

After a moving van drives onto a river ferry, the ferry sinks 0.0367 m. The length and width of the ferry are 15.24 m and 6.10 m, respectfully. Determine the weight of the moving van.

Accepted Answer

A) 6.09 × 103 N 
B) 1.00 × 104 N 
C) 3.34 × 104 N 
D) 5.11 × 104 N 
E) 6.68 × 104 N 
A) 6.09 × 103 N 
B) 1.00 × 104 N 
C) 3.34 × 104 N 
D) 5.11 × 104 N 
E) 6.68 × 104 N

Question 2

The density of gold is 19 300 kg/m3. What is the mass of a gold sphere whose diameter is 0.25 m?

Accepted Answer

A) 87.5 kg 
B) 158 kg 
C) 947 kg 
D) 1260 kg 
E) 3790 kg 
A) 87.5 kg 
B) 158 kg 
C) 947 kg 
D) 1260 kg 
E) 3790 kg

Question 3

An in-ground swimming pool has the dimensions shown in the drawing.  It is filled with water to a uniform depth of 3.00 m.
The density of water = 1.00 × 10S1U1P13S1S1P0 kg/mS1U1P13S1S1P0.

-What is the total pressure exerted on the bottom of the swimming pool?

Accepted Answer

A) 2.94 × 104 Pa 
B) 1.31 × 105 Pa 
C) 1.80 × 105 Pa 
D) 1.97 × 105 Pa 
E) 2.49 × 105 Pa 
A) 2.94 × 104 Pa 
B) 1.31 × 105 Pa 
C) 1.80 × 105 Pa 
D) 1.97 × 105 Pa 
E) 2.49 × 105 Pa

Question 4

Water is flowing through a rectangular channel that is 12 m wide with a speed of 0.75 m/s. The water then flows into four identical rectangular channels that have a width of 3.0 m. The depth of the water does not change as it flows into the four channels. What is the speed of the water in one of the smaller channels?

Accepted Answer

A) 0.56 m/s 
B) 2.3 m/s 
C) 0.25 m/s 
D) 0.75 m/s 
E) 3.0 m/s 
A) 0.56 m/s 
B) 2.3 m/s 
C) 0.25 m/s 
D) 0.75 m/s 
E) 3.0 m/s

Question 5

Complete the following sentence: The operation of a hydraulic jack is an application of

Accepted Answer

A) Pascal's principle. 
B) Bernoulli's principle. 
C) Archimedes' principle. 
D) irrotational flow. 
E) the continuity equation. 
A) Pascal's principle. 
B) Bernoulli's principle. 
C) Archimedes' principle. 
D) irrotational flow. 
E) the continuity equation.

Question 6

A glass tube has several different cross-sectional areas with the values indicated in the figure. A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s. Three points within the tube are labeled A, B, and C.  
-Determine the height h of mercury in the manometer with the evacuated upper end.

Accepted Answer

A) 136 mm 
B) 269 mm 
C) 278 mm 
D) 366 mm 
E) 371 mm 
A) 136 mm 
B) 269 mm 
C) 278 mm 
D) 366 mm 
E) 371 mm

Question 7

Three blocks, labeled A, B, and C, are floating in water as shown in the drawing. Blocks A and B have the same mass and volume. Block C has the same volume, but is submerged to a greater depth than the other two blocks. Which one of the following statements concerning this situation is false?

Accepted Answer

A) The density of block A is less than that of block C. 
B) The buoyant force acting on block A is equal to that acting on block B. 
C) The volume of water displaced by block C is greater than that displaced by block B. 
D) The buoyant force acting on block C is greater than that acting on block B. 
E) The volume of water displaced by block A is greater than that displaced by block B. 
A) The density of block A is less than that of block C. 
B) The buoyant force acting on block A is equal to that acting on block B. 
C) The volume of water displaced by block C is greater than that displaced by block B. 
D) The buoyant force acting on block C is greater than that acting on block B. 
E) The volume of water displaced by block A is greater than that displaced by block B.

Question 8

In a classroom demonstration, a 79.2-kg physics professor lies on a "bed of nails." The bed consists of a large number of evenly spaced, relatively sharp nails mounted in a board so that the points extend vertically outward from the board. While the professor is lying down, approximately 1950 nails make contact with his body.
-If the area of contact at the head of each nail is 1.26 × 10-6 m2, what is the average pressure at each contact?

Accepted Answer

A) 1.58 × 105 Pa 
B) 1.27 × 106 Pa 
C) 2.40 × 104 Pa 
D) 4.82 × 104 Pa 
E) 3.16 × 105 Pa 
A) 1.58 × 105 Pa 
B) 1.27 × 106 Pa 
C) 2.40 × 104 Pa 
D) 4.82 × 104 Pa 
E) 3.16 × 105 Pa

Question 9

A glass tube has several different cross-sectional areas with the values indicated in the figure. A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s. Three points within the tube are labeled A, B, and C.  
-At what speed is mercury flowing past the point labeled A?

Accepted Answer

A) 2.0 m/s 
B) 4.0 m/s 
C) 8.0 m/s 
D) 12 m/s 
E) 16 m/s 
A) 2.0 m/s 
B) 4.0 m/s 
C) 8.0 m/s 
D) 12 m/s 
E) 16 m/s

Question 10

A large tank is filled with water to a depth of 15 m. A spout located 10.0 m above the bottom of the tank is then opened as shown in the drawing. With what speed will water emerge from the spout?

Accepted Answer

A) 3.1 m/s 
B) 9.9 m/s 
C) 14 m/s 
D) 17 m/s 
E) 31 m/s 
A) 3.1 m/s 
B) 9.9 m/s 
C) 14 m/s 
D) 17 m/s 
E) 31 m/s

Question 11

A small sculpture made of brass ($\rho$brass = 8470 kg/m3) is believed to have a secret central cavity. The weight of the sculpture in air is 15.76 N. When it is submerged in water, the weight is 13.86 N. What is the volume of the secret cavity?

Accepted Answer

A) 1 × 10-4 m3 
B) 2 × 10-4 m3 
C) 3 × 10-5 m3 
D) 2 × 10-6 m3 
E) 4 × 10-6 m3 
A) 1 × 10-4 m3 
B) 2 × 10-4 m3 
C) 3 × 10-5 m3 
D) 2 × 10-6 m3 
E) 4 × 10-6 m3

Question 12

A pirate's treasure chest lies 20.0 m below the surface of the ocean. What is the magnitude of the force that acts on the rectangular top that is 0.750 m × 0.425 m?

Accepted Answer

A) 980 N 
B) 2.39 × 103 N 
C) 9.48 × 104 N 
D) 4.71 × 105 N 
E) 2.00 × 106 N 
A) 980 N 
B) 2.39 × 103 N 
C) 9.48 × 104 N 
D) 4.71 × 105 N 
E) 2.00 × 106 N

Question 13

Complete the following statement: Bernoulli's principle is a statement of

Accepted Answer

A) hydrostatic equilibrium. 
B) thermal equilibrium in fluids. 
C) mechanical equilibrium in fluids. 
D) energy conservation in dynamic fluids. 
E) momentum conservation in dynamic fluids. 
A) hydrostatic equilibrium. 
B) thermal equilibrium in fluids. 
C) mechanical equilibrium in fluids. 
D) energy conservation in dynamic fluids. 
E) momentum conservation in dynamic fluids.

Question 14

A glass tube has several different cross-sectional areas with the values indicated in the figure. A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s. Three points within the tube are labeled A, B, and C.  
-What is the total pressure at point C?

Accepted Answer

A) 1.01 × 105 Pa 
B) 3.26 × 105 Pa 
C) 3.66 × 105 Pa 
D) 6.44 × 105 Pa 
E) 7.45 × 105 Pa 
A) 1.01 × 105 Pa 
B) 3.26 × 105 Pa 
C) 3.66 × 105 Pa 
D) 6.44 × 105 Pa 
E) 7.45 × 105 Pa

Question 15

A child wants to pump up a bicycle tire so that its pressure is 1.2 × 105 Pa above that of atmospheric pressure. If the child uses a pump with a circular piston 0.035 m in diameter, what force must the child exert?

Accepted Answer

A) 120 N 
B) 89 N 
C) 76 N 
D) 54 N 
E) 240 N 
A) 120 N 
B) 89 N 
C) 76 N 
D) 54 N 
E) 240 N

Question 16

A balloon is released from a tall building. The total mass of the balloon including the enclosed gas is 2.0 kg. Its volume is 5.0 mS1U1P13S1S1P0. The density of air is 1.3 kg/mS1U1P13S1S1P0.
-Will the balloon rise, fall, or remain stationary; and why?

Accepted Answer

A) The balloon will fall because its density is greater than that of air. 
B) The balloon will remain stationary because its density is less than that of air. 
C) The balloon will rise because the upward buoyant force is greater than its weight. 
D) The balloon will fall because the upward buoyant force is less than its weight. 
E) The balloon will fall because the downward buoyant force is greater than the upward buoyant force. 
A) The balloon will fall because its density is greater than that of air. 
B) The balloon will remain stationary because its density is less than that of air. 
C) The balloon will rise because the upward buoyant force is greater than its weight. 
D) The balloon will fall because the upward buoyant force is less than its weight. 
E) The balloon will fall because the downward buoyant force is greater than the upward buoyant force.

Question 17

The two dams are identical with the exception that the water reservoir behind dam A extends twice the horizontal distance behind it as that of dam B. Which one of the following statements regarding these dams is correct?

Accepted Answer

A) The force exerted by the water on dam A is greater than that on dam B. 
B) The force exerted by the water on dam B is greater than that on dam A. 
C) Dam A is more likely to collapse than dam B if the water level rises. 
D) Dam B is more likely to collapse than dam A if the water level rises. 
E) The horizontal distance of the water behind the two dams does not determine the force on them. 
A) The force exerted by the water on dam A is greater than that on dam B. 
B) The force exerted by the water on dam B is greater than that on dam A. 
C) Dam A is more likely to collapse than dam B if the water level rises. 
D) Dam B is more likely to collapse than dam A if the water level rises. 
E) The horizontal distance of the water behind the two dams does not determine the force on them.

Question 18

A curtain hangs straight down in front of an open window. A sudden gust of wind blows past the window; and the curtain is pulled out of the window. Which law, principle, or equation can be used to explain this movement of the curtain?

Accepted Answer

A) Poiseuille's law 
B) Bernoulli's equation 
C) the equation of continuity 
D) Archimedes' principle 
E) Pascal's principle 
A) Poiseuille's law 
B) Bernoulli's equation 
C) the equation of continuity 
D) Archimedes' principle 
E) Pascal's principle

Question 19

Water enters a pipe of diameter 3.0 cm with a velocity of 3.0 m/s. The water encounters a constriction where its velocity is 15 m/s. What is the diameter of the constricted portion of the pipe?

Accepted Answer

A) 0.44 cm 
B) 0.75 cm 
C) 1.3 cm 
D) 1.6 cm 
E) 6.7 cm 
A) 0.44 cm 
B) 0.75 cm 
C) 1.3 cm 
D) 1.6 cm 
E) 6.7 cm

Question 20

A 2-kg block displaces 10 kg of water when it is held fully immersed. The object is then tied down as shown in the figure; and it displaces 5 kg of water. What is the tension in the string?

Accepted Answer

A) 10 N 
B) 20 N 
C) 30 N 
D) 70 N 
E) 100 N 
A) 10 N 
B) 20 N 
C) 30 N 
D) 70 N 
E) 100 N

Exam 11: Fluids

After a moving van drives onto a river ferry, the ferry sinks 0.0367 m. The length and width of the ferry are 15.24 m and 6.10 m, respectfully. Determine the weight of the moving van.

The density of gold is 19 300 kg/m3. What is the mass of a gold sphere whose diameter is 0.25 m?

An in-ground swimming pool has the dimensions shown in the drawing. It is filled with water to a uniform depth of 3.00 m. The density of water = 1.00 × 103 kg/m3. -What is the total pressure exerted on the bottom of the swimming pool?

Complete the following sentence: The operation of a hydraulic jack is an application of

Three blocks, labeled A, B, and C, are floating in water as shown in the drawing. Blocks A and B have the same mass and volume. Block C has the same volume, but is submerged to a greater depth than the other two blocks. Which one of the following statements concerning this situation is false?

A large tank is filled with water to a depth of 15 m. A spout located 10.0 m above the bottom of the tank is then opened as shown in the drawing. With what speed will water emerge from the spout?

A small sculpture made of brass ( ρ\rhoρ brass = 8470 kg/m3) is believed to have a secret central cavity. The weight of the sculpture in air is 15.76 N. When it is submerged in water, the weight is 13.86 N. What is the volume of the secret cavity?

A pirate's treasure chest lies 20.0 m below the surface of the ocean. What is the magnitude of the force that acts on the rectangular top that is 0.750 m × 0.425 m?

Complete the following statement: Bernoulli's principle is a statement of

A child wants to pump up a bicycle tire so that its pressure is 1.2 × 105 Pa above that of atmospheric pressure. If the child uses a pump with a circular piston 0.035 m in diameter, what force must the child exert?

A balloon is released from a tall building. The total mass of the balloon including the enclosed gas is 2.0 kg. Its volume is 5.0 m3. The density of air is 1.3 kg/m3. -Will the balloon rise, fall, or remain stationary; and why?

The two dams are identical with the exception that the water reservoir behind dam A extends twice the horizontal distance behind it as that of dam B. Which one of the following statements regarding these dams is correct?

A curtain hangs straight down in front of an open window. A sudden gust of wind blows past the window; and the curtain is pulled out of the window. Which law, principle, or equation can be used to explain this movement of the curtain?

Water enters a pipe of diameter 3.0 cm with a velocity of 3.0 m/s. The water encounters a constriction where its velocity is 15 m/s. What is the diameter of the constricted portion of the pipe?

A 2-kg block displaces 10 kg of water when it is held fully immersed. The object is then tied down as shown in the figure; and it displaces 5 kg of water. What is the tension in the string?

Introduction and Mathematical Concepts

Kinematics in One Dimension

Kinematics in Two Dimensions

Forces and Newtons Laws of Motion

Dynamics of Uniform Circular Motion

Work and Energy

Impulse and Momentum

Rotational Kinematics

Rotational Dynamics

Simple Harmonic Motion and Elasticity

Temperature and Heat

The Transfer of Heat

The Ideal Gas Law and Kinetic Theory

Thermodynamics

Waves and Sound

The Principle of Linear Superposition and Interference Phenomena

Electric Forces and Electric Fields

Electric Potential Energy and the Electric Potential

Electric Circuits

Magnetic Forces and Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

The Refl Ection of Light: Mirrors

The Refraction of Light: Lenses and Optical Instruments

Interference and the Wave Nature of Light

Special Relativity

Particles and Waves

The Nature of the Atom

Nuclear Physics and Radioactivity

Ionizing Radiation, Nuclear Energy, and Elementary Particles

Filters

The density of gold is 19 300 kg/m³. What is the mass of a gold sphere whose diameter is 0.25 m?

An in-ground swimming pool has the dimensions shown in the drawing. It is filled with water to a uniform depth of 3.00 m. The density of water = 1.00 × 10³ kg/m³. -What is the total pressure exerted on the bottom of the swimming pool?

A small sculpture made of brass ( $\rho$ _brass= 8470 kg/m³) is believed to have a secret central cavity. The weight of the sculpture in air is 15.76 N. When it is submerged in water, the weight is 13.86 N. What is the volume of the secret cavity?

A child wants to pump up a bicycle tire so that its pressure is 1.2 × 10⁵ Pa above that of atmospheric pressure. If the child uses a pump with a circular piston 0.035 m in diameter, what force must the child exert?

A balloon is released from a tall building. The total mass of the balloon including the enclosed gas is 2.0 kg. Its volume is 5.0 m³. The density of air is 1.3 kg/m³. -Will the balloon rise, fall, or remain stationary; and why?