Question 1

A balloon inflated with helium gas (density = 0.2 kg/m3) has a volume of 6 × 10-3 m3. If the density of air is 1.3 kg/m3, what is the buoyant force exerted on the balloon?

Accepted Answer

A) 0.01 N 
B) 0.08 N 
C) 0.8 N 
D) 1.3 N 
E) 7.8 N 
A) 0.01 N 
B) 0.08 N 
C) 0.8 N 
D) 1.3 N 
E) 7.8 N B

Question 2

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.
-What is the average density of the balloon?

Accepted Answer

A) 0.2 kg/m3 
B) 0.4 kg/m3 
C) 0.8 kg/m3 
D) 1.0 kg/m3 
E) 1.2 kg/m3 
A) 0.2 kg/m3 
B) 0.4 kg/m3 
C) 0.8 kg/m3 
D) 1.0 kg/m3 
E) 1.2 kg/m3 B

Question 3

An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m3. Determine the density of the object.

Accepted Answer

A) 330 kg/m3 
B) 500 kg/m3 
C) 1.2 × 103 kg/m3 
D) 5.9 × 103 kg/m3 
E) 7.5 × 103 kg/m3 
A) 330 kg/m3 
B) 500 kg/m3 
C) 1.2 × 103 kg/m3 
D) 5.9 × 103 kg/m3 
E) 7.5 × 103 kg/m3 D

Question 4

A hypodermic needle consists of a plunger of circular cross-section that slides inside a hollow cylindrical syringe. When the plunger is pushed, the contents of the syringe are forced through a hollow needle (also of circular cross-section). If a 4.0-N force is applied to the plunger and the diameters of the plunger and the needle are 1.2 cm and 2.5 mm, respectively, what force is needed to prevent fluid flow at the needle?

Accepted Answer

A) 0.17 N 
B) 0.27 N 
C) 0.43 N 
D) 0.83 N 
E) 2.7 N 
A) 0.17 N 
B) 0.27 N 
C) 0.43 N 
D) 0.83 N 
E) 2.7 N

Question 5

A large vat is continually filled with a viscous liquid that flows from two equally long, cylindrical pipes, labeled A and B, onto a conveyer belt as shown in the drawing. The diameter of pipe B is 1.75 times larger than that of pipe A. What is the ratio of the average volume flow rate of the liquid exiting pipe B to that of the liquid exiting pipe A?

Accepted Answer

A) 1.87 
B) 3.06 
C) 1.32 
D) 9.38 
E) 4.33 
A) 1.87 
B) 3.06 
C) 1.32 
D) 9.38 
E) 4.33

Question 6

Which law, principle, or equation can be used to determine the volume flow rate of a liquid that is forced through a hypodermic needle?

Accepted Answer

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

Question 7

Using the value of atmospheric pressure at sea level, 1 × 105 Pa, estimate the total mass of the earth's atmosphere above a 5-m2 area.

Accepted Answer

A) 5 × 104 kg 
B) 9 × 102 kg 
C) 2 × 10-4 kg 
D) 4 × 10-2 kg 
E) 3 × 105 kg 
A) 5 × 104 kg 
B) 9 × 102 kg 
C) 2 × 10-4 kg 
D) 4 × 10-2 kg 
E) 3 × 105 kg

Question 8

Which one of the following statements is false concerning the derivation or usage of Bernoulli's equation?

Accepted Answer

A) The fluid must be non-viscous. 
B) Streamline flow is assumed. 
C) The fluid must be incompressible. 
D) The work-energy theorem is used to derive Bernoulli's equation. 
E) Vertical distances are always measured relative to the lowest point within the fluid. 
A) The fluid must be non-viscous. 
B) Streamline flow is assumed. 
C) The fluid must be incompressible. 
D) The work-energy theorem is used to derive Bernoulli's equation. 
E) Vertical distances are always measured relative to the lowest point within the fluid.

Question 9

Water flows through a pipe of diameter 8.0 cm with a speed of 10.0 m/s. It then enters a smaller pipe of diameter 3.0 cm. What is the speed of the water as it flows through the smaller pipe?

Accepted Answer

A) 1.4 m/s 
B) 2.8 m/s 
C) 27 m/s 
D) 54 m/s 
E) 71 m/s 
A) 1.4 m/s 
B) 2.8 m/s 
C) 27 m/s 
D) 54 m/s 
E) 71 m/s

Question 10

The density of mercury is 1.36 × 104 kg/m3. What is the mass of a 2.16 × 10-4-m3 sample of mercury?

Accepted Answer

A) 0.0343 kg 
B) 0.002 94 kg 
C) 2.94 kg 
D) 5.44 kg 
E) 6.29 kg 
A) 0.0343 kg 
B) 0.002 94 kg 
C) 2.94 kg 
D) 5.44 kg 
E) 6.29 kg

Question 11

Which one of the following statements concerning a completely enclosed fluid is true?

Accepted Answer

A) Any change in the applied pressure of the fluid produces a change in pressure that depends on direction. 
B) The pressure at all points within the fluid is independent of any pressure applied to it. 
C) Any change in applied pressure produces an equal change in pressure at all points within the fluid. 
D) An increase in pressure in one part of the fluid results in an equal decrease in pressure in another part. 
E) The pressure in the fluid is the same at all points within the fluid. 
A) Any change in the applied pressure of the fluid produces a change in pressure that depends on direction. 
B) The pressure at all points within the fluid is independent of any pressure applied to it. 
C) Any change in applied pressure produces an equal change in pressure at all points within the fluid. 
D) An increase in pressure in one part of the fluid results in an equal decrease in pressure in another part. 
E) The pressure in the fluid is the same at all points within the fluid.

Question 12

A barometer is taken from the base to the top of a 279-m tower. Assuming the density of air is 1.29 kg/m3, what is the measured change in pressure?

Accepted Answer

A) 359 Pa 
B) 927 Pa 
C) 2120 Pa 
D) 2730 Pa 
E) 3530 Pa 
A) 359 Pa 
B) 927 Pa 
C) 2120 Pa 
D) 2730 Pa 
E) 3530 Pa

Question 13

A horizontal piping system that delivers a constant flow of water is constructed from pipes with different diameters as shown in the figure. At which of the labeled points is the water in the pipe under the greatest pressure? The drawing is a view from above the pipe.

Accepted Answer

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

Question 14

The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m3. The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s. What is the difference in pressure, PB - PA, between points B and A?

Accepted Answer

A) -1.9 × 103 Pa 
B) +3.8 × 103 Pa 
C) -2.5 × 104 Pa 
D) +5.0 × 104 Pa 
E) -3.9 × 104 Pa 
A) -1.9 × 103 Pa 
B) +3.8 × 103 Pa 
C) -2.5 × 104 Pa 
D) +5.0 × 104 Pa 
E) -3.9 × 104 Pa

Question 15

A solid cylinder has a radius of 0.051 m and a height of 0.0030 m. The cylinder is composed of two different materials with mass densities of 1950 kg/m3 and 1470 kg/m3. The cylinder contains an equal mass m of each of the two materials, so that the total mass is M = 2m. What is the mass m?

Accepted Answer

A) 8.4 × 10-2 kg 
B) 2.1 × 10-2 kg 
C) 1.4 × 10-2 kg 
D) 6.5 × 10-2 kg 
E) 4.2 × 10-2 kg 
A) 8.4 × 10-2 kg 
B) 2.1 × 10-2 kg 
C) 1.4 × 10-2 kg 
D) 6.5 × 10-2 kg 
E) 4.2 × 10-2 kg

Question 16

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 A?

Accepted Answer

A) 1.01 × 105 Pa 
B) 2.02 × 105 Pa 
C) 2.25 × 105 Pa 
D) 3.26 × 105 Pa 
E) 4.27 × 105 Pa 
A) 1.01 × 105 Pa 
B) 2.02 × 105 Pa 
C) 2.25 × 105 Pa 
D) 3.26 × 105 Pa 
E) 4.27 × 105 Pa

Question 17

A gas sample is confined within a chamber that has a movable piston. A small load is placed on the piston; and the system is allowed to reach equilibrium. If the total weight of the piston and load is 70.0 N and the piston has an area of 5.0 × 10-4 m2, what is the pressure exerted on the piston by the gas? Note: Atmospheric pressure is 1.013 × 105 Pa.

Accepted Answer

A) 2.8 × 104 Pa 
B) 5.6 × 104 Pa 
C) 7.3 × 104 Pa 
D) 1.4 × 105 Pa 
E) 2.4 × 105 Pa 
A) 2.8 × 104 Pa 
B) 5.6 × 104 Pa 
C) 7.3 × 104 Pa 
D) 1.4 × 105 Pa 
E) 2.4 × 105 Pa

Question 18

Which one of the following statements concerning the buoyant force on an object submerged in a liquid is true?

Accepted Answer

A) The buoyant force depends on the mass of the object. 
B) The buoyant force depends on the weight of the object. 
C) The buoyant force is independent of the density of the liquid. 
D) The buoyant force depends on the volume of the liquid displaced. 
E) The buoyant force will increase with depth if the liquid is incompressible. 
A) The buoyant force depends on the mass of the object. 
B) The buoyant force depends on the weight of the object. 
C) The buoyant force is independent of the density of the liquid. 
D) The buoyant force depends on the volume of the liquid displaced. 
E) The buoyant force will increase with depth if the liquid is incompressible.

Question 19

In a car lift, compressed air with a gauge pressure of 4.0 × 105 Pa is used to raise a piston with a circular cross-sectional area. If the radius of the piston is 0.17 m, what is the maximum mass that can be raised using this piston?

Accepted Answer

A) 530 kg 
B) 3700 kg 
C) 9800 kg 
D) 22 000 kg 
E) 41 000 kg 
A) 530 kg 
B) 3700 kg 
C) 9800 kg 
D) 22 000 kg 
E) 41 000 kg

Question 20

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 B?

Accepted Answer

A) 1.01 × 105 Pa 
B) 3.64 × 104 Pa 
C) 4.27 × 105 Pa 
D) 6.44 × 104 Pa 
E) 7.45 × 104 Pa 
A) 1.01 × 105 Pa 
B) 3.64 × 104 Pa 
C) 4.27 × 105 Pa 
D) 6.44 × 104 Pa 
E) 7.45 × 104 Pa

Exam 11: Fluids

A balloon inflated with helium gas (density = 0.2 kg/m3) has a volume of 6 × 10-3 m3. If the density of air is 1.3 kg/m3, what is the buoyant force exerted on the balloon?

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. -What is the average density of the balloon?

An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m3. Determine the density of the object.

Which law, principle, or equation can be used to determine the volume flow rate of a liquid that is forced through a hypodermic needle?

Using the value of atmospheric pressure at sea level, 1 × 105 Pa, estimate the total mass of the earth's atmosphere above a 5-m2 area.

Which one of the following statements is false concerning the derivation or usage of Bernoulli's equation?

Water flows through a pipe of diameter 8.0 cm with a speed of 10.0 m/s. It then enters a smaller pipe of diameter 3.0 cm. What is the speed of the water as it flows through the smaller pipe?

The density of mercury is 1.36 × 104 kg/m3. What is the mass of a 2.16 × 10-4-m3 sample of mercury?

Which one of the following statements concerning a completely enclosed fluid is true?

A barometer is taken from the base to the top of a 279-m tower. Assuming the density of air is 1.29 kg/m3, what is the measured change in pressure?

A horizontal piping system that delivers a constant flow of water is constructed from pipes with different diameters as shown in the figure. At which of the labeled points is the water in the pipe under the greatest pressure? The drawing is a view from above the pipe.

The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m3. The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s. What is the difference in pressure, PB - PA, between points B and A?

A solid cylinder has a radius of 0.051 m and a height of 0.0030 m. The cylinder is composed of two different materials with mass densities of 1950 kg/m3 and 1470 kg/m3. The cylinder contains an equal mass m of each of the two materials, so that the total mass is M = 2m. What is the mass m?

Which one of the following statements concerning the buoyant force on an object submerged in a liquid is true?

In a car lift, compressed air with a gauge pressure of 4.0 × 105 Pa is used to raise a piston with a circular cross-sectional area. If the radius of the piston is 0.17 m, what is the maximum mass that can be raised using this piston?

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

A balloon inflated with helium gas (density = 0.2 kg/m³) has a volume of 6 × 10^-³ m³. If the density of air is 1.3 kg/m³, what is the buoyant force exerted on the balloon?

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. -What is the average density of the balloon?

An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m³. Determine the density of the object.

Using the value of atmospheric pressure at sea level, 1 × 10⁵ Pa, estimate the total mass of the earth's atmosphere above a 5-m² area.

The density of mercury is 1.36 × 10⁴ kg/m³. What is the mass of a 2.16 × 10^-⁴-m³ sample of mercury?

A barometer is taken from the base to the top of a 279-m tower. Assuming the density of air is 1.29 kg/m³, what is the measured change in pressure?

The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m³. The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s. What is the difference in pressure, P_B - P_A, between points B and A?

A solid cylinder has a radius of 0.051 m and a height of 0.0030 m. The cylinder is composed of two different materials with mass densities of 1950 kg/m³ and 1470 kg/m³. The cylinder contains an equal mass m of each of the two materials, so that the total mass is M = 2m. What is the mass m?

In a car lift, compressed air with a gauge pressure of 4.0 × 10⁵ Pa is used to raise a piston with a circular cross-sectional area. If the radius of the piston is 0.17 m, what is the maximum mass that can be raised using this piston?