what chapters from openstax do I need to learn for each problem? Work and Energy Review

1. An airplane increases its speed at the average rate of 15 m/s 2 . How much time
does it take to increase its speed from 100 m/s to 160 m/s?
2. The position x(t) of a particle as a function of time t is given by the equation x(t) =
(3.5 m/s)t - (5.0 m/s 2 )t 2 . What is the average velocity of the particle between t =
0.30 s and t = 0.40 s?
3. A car that is initially moving at 7.50 m/s begins to accelerate forward uniformly at
0.550 m/s 2 .
a. How long after beginning to accelerate does it take the car to move 3.50
km?
b. How fast is the car moving just as it has traveled 3.50 km?
4. At the instant a traffic light turns green, a car that has been waiting at the
intersection starts ahead with a constant acceleration of 2.00 m/s 2 . At that
moment a truck traveling with a constant velocity of 15.0 m/s overtakes and
passes the car.
a. Calculate the time necessary for the car to reach the truck.
b. Calculate the distance beyond the traffic light that the car will pass the
truck.
c. Determine the speed of the car when it passes the truck.
5. A car is moving with a constant acceleration. At time t = 5.0 s its velocity is 8.0
m/s in the forward direction, and at time t = 8.0 s its velocity is 12.0 m/s forward.
What is the distance traveled in that interval of time?
6. A car is traveling at 26.0 m/s when the driver suddenly applies the brakes,
causing the car to slow down with constant acceleration. The car comes to a stop
in a distance of 120 m. How fast was the car moving when it was 60.0 m past the
point where the brakes were applied?
7. A player hits a tennis ball into the air with an initial velocity of 32 m/s at 35° from
the vertical. How fast is the ball moving at the highest point in its trajectory if air
resistance is negligible?
8. A stone is thrown horizontally with an initial speed of 10 m/s from the edge of a
cliff. A stopwatch measures the stone’s trajectory time from the top of the cliff to
the bottom to be 4.3 s. What is the height of the cliff if air resistance is negligibly
small?
9. At target practice, a rifle bullet is fired at an angle of 30° below the horizontal with
an initial velocity of 800 m/s from the top of a cliff 80 m high. How far from the
base of the cliff does it strike the level ground below if air resistance is negligible?
10. A batter hits a home run in which the ball travels 110 m horizontally with no
appreciable air resistance. If the ball left the bat at 50° above the horizontal just
above ground level, how fast was it hit?
11. A hunter points a rifle horizontally and holds it 3.30 m above the ground. The
bullet leaves the barrel at 325 m/s and experiences no significant air resistance.
The acceleration due to gravity at this location is 9.80 m/s 2 .

a. How long does it take for the bullet to strike the ground?
b. How far horizontally does it travel?
12. A projectile leaves the ground at 150 m/s and reaches a maximum height of 0.57
km. If there was no air resistance, at what angle above the horizontal did it leave
the ground?
13. A boy kicks a football from ground level with an initial velocity of 20 m/s at an
angle of 30° above the horizontal. What is the horizontal distance to the point
where the football hits the ground if we neglect air resistance?
14. A projectile is fired from ground level at an angle above the horizontal on an
airless planet where g = 10.0 m/s 2 . The initial x and y components of its velocity
are 86.6 m/s and 50.0 m/s respectively. How long after firing does it take before
the projectile hits the level ground?
15. A projectile is fired at an angle above the horizontal at a location where g = 9.8
m/s 2 . The initial x and y components of its velocity are 86.6 m/s and 50 m/s
respectively. At what angle was the projectile fired above the horizontal?
16. As shown in the figure, a 10-kg block on a perfectly smooth horizontal table is
connected by a horizontal string to a 63-kg block that is hanging over the edge of
the table. What is the magnitude of the acceleration of the 10-kg block when the
other block is gently released?

17. A 50-kg box is being pushed along a horizontal surface. The coefficient of static
friction between the box and the ground is 0.65, and the coefficient of kinetic
friction is 0.35. What horizontal force must be exerted on the box for it to
accelerate at 1.2 m/s 2 ?
18. A 50-kg box is resting on a horizontal floor. A force of 250 N directed at an angle
of 30.0° below the horizontal is applied to the box. The coefficient of static friction
between the box and the surface is 0.40, and the coefficient of kinetic friction is
0.30. What is the force of friction on the box?
19. The figure shows a 100-kg block being released from rest from a height of 1.0 m.
It then takes 0.53 s for it to reach the floor. What is the mass m of the block on
the left? There is no friction or mass in the pulley, and the connecting rope is very
light.

20. A 10-kg sign is held by two ropes as shown in the figure. What is the tension on

rope A?

21. A 3.0-kg and a 5.0-kg box rest side-by-side on a perfectly smooth, level floor. A
horizontal force of 32 N is applied to the 3.0-kg box pushing it against the 5.0-kg
box, and, as a result, both boxes slide along the floor. How hard do the two
boxes push against each other?
22. An object slides on a level floor. It slows and comes to a stop with a constant
acceleration of magnitude 2.4 m/s 2 . What is the coefficient of kinetic friction
between the object and the floor?
23. A 50-kg box is being pushed along a horizontal surface. The coefficient of static
friction between the box and the ground is 0.65, and the coefficient of kinetic
friction is 0.35. What horizontal force must be exerted on the box for it to
accelerate at 1.2 m/s 2 ?
24. A 50-kg box is resting on a horizontal floor. A force of 250 N directed at an angle
of 30.0° below the horizontal is applied to the box. The coefficient of static friction
between the box and the surface is 0.40, and the coefficient of kinetic friction is
0.30. What is the force of friction on the box?
25. A baseball player is running to second base at 5.03 m/s. When he is 4.80 m from
the plate he goes into a slide. The coefficient of kinetic friction between the player
and the ground is 0.180, and the coefficient of static friction is 3.14. What is his
speed when he reaches the plate?Preface
Chapter 1 Introduction: The Nature of Science and Physics
Introduction to Science and the Realm of Physics, Physical Quantities, and Units
1.1 Physics: An Introduction
1.2 Physical Quantities and Units
1.3 Accuracy, Precision, and Significant Figures
1.4 Approximation
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 2 Kinematics
Introduction to One-Dimensional Kinematics
2.1 Displacement
2.2 Vectors, Scalars, and Coordinate Systems
2.3 Time, Velocity, and Speed
2.4 Acceleration
2.5 Motion Equations for Constant Acceleration in One Dimension
2.6 Problem-Solving Basics for One-Dimensional Kinematics
2.7 Falling Objects
2.8 Graphical Analysis of One-Dimensional Motion
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 3 Two-Dimensional Kinematics
Introduction to Two-Dimensional Kinematics
3.1 Kinematics in Two Dimensions: An Introduction
3.2 Vector Addition and Subtraction: Graphical Methods
3.3 Vector Addition and Subtraction: Analytical Methods
3.4 Projectile Motion
3.5 Addition of Velocities
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 4 Dynamics: Force and Newton’s Laws of Motion
Introduction to Dynamics: Newton’s Laws of Motion
4.1 Development of Force Concept
4.2 Newton’s First Law of Motion: Inertia
4.3 Newton’s Second Law of Motion: Concept of a System
4.4 Newton’s Third Law of Motion: Symmetry in Forces
4.5 Normal, Tension, and Other Examples of Forces
4.6 Problem-Solving Strategies
4.7 Further Applications of Newton’s Laws of Motion
4.8 Extended Topic: The Four Basic Forces—An Introduction
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 5 Further Applications of Newton’s Laws: Friction, Drag, and Elasticity
Introduction: Further Applications of Newton’s Laws
5.1 Friction
5.2 Drag Forces
5.3 Elasticity: Stress and Strain
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 6 Uniform Circular Motion and Gravitation
Introduction to Uniform Circular Motion and Gravitation
6.1 Rotation Angle and Angular Velocity
6.2 Centripetal Acceleration
6.3 Centripetal Force
6.4 Fictitious Forces and Non-inertial Frames: The Coriolis Force
6.5 Newton’s Universal Law of Gravitation
6.6 Satellites and Kepler’s Laws: An Argument for Simplicity
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 7 Work, Energy, and Energy Resources
Introduction to Work, Energy, and Energy Resources
7.1 Work: The Scientific Definition
7.2 Kinetic Energy and the Work-Energy Theorem
7.3 Gravitational Potential Energy
7.4 Conservative Forces and Potential Energy
7.5 Nonconservative Forces
7.6 Conservation of Energy
7.7 Power
7.8 Work, Energy, and Power in Humans
7.9 World Energy Use
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 8 Linear Momentum and Collisions
Introduction to Linear Momentum and Collisions
8.1 Linear Momentum and Force
8.2 Impulse
8.3 Conservation of Momentum
8.4 Elastic Collisions in One Dimension
8.5 Inelastic Collisions in One Dimension
8.6 Collisions of Point Masses in Two Dimensions
8.7 Introduction to Rocket Propulsion
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 9 Statics and Torque
Introduction to Statics and Torque
9.1 The First Condition for Equilibrium
9.2 The Second Condition for Equilibrium
9.3 Stability
9.4 Applications of Statics, Including Problem-Solving Strategies
9.5 Simple Machines
9.6 Forces and Torques in Muscles and Joints
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 10 Rotational Motion and Angular Momentum
Introduction to Rotational Motion and Angular Momentum
10.1 Angular Acceleration
10.2 Kinematics of Rotational Motion
10.3 Dynamics of Rotational Motion: Rotational Inertia
10.4 Rotational Kinetic Energy: Work and Energy Revisited
10.5 Angular Momentum and Its Conservation
10.6 Collisions of Extended Bodies in Two Dimensions
10.7 Gyroscopic Effects: Vector Aspects of Angular Momentum
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 11 Fluid Statics
Introduction to Fluid Statics
11.1 What Is a Fluid?
11.2 Density
11.3 Pressure
11.4 Variation of Pressure with Depth in a Fluid
11.5 Pascal’s Principle
11.6 Gauge Pressure, Absolute Pressure, and Pressure Measurement
11.7 Archimedes’ Principle
11.8 Cohesion and Adhesion in Liquids: Surface Tension and Capillary Action
11.9 Pressures in the Body
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 12 Fluid Dynamics and Its Biological and Medical Applications
Introduction to Fluid Dynamics and Its Biological and Medical Applications
12.1 Flow Rate and Its Relation to Velocity
12.2 Bernoulli’s Equation
12.3 The Most General Applications of Bernoulli’s Equation
12.4 Viscosity and Laminar Flow; Poiseuille’s Law
12.5 The Onset of Turbulence
12.6 Motion of an Object in a Viscous Fluid
12.7 Molecular Transport Phenomena: Diffusion, Osmosis, and Related Processes
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 13 Temperature, Kinetic Theory, and the Gas Laws
Introduction to Temperature, Kinetic Theory, and the Gas Laws
13.1 Temperature
13.2 Thermal Expansion of Solids and Liquids
13.3 The Ideal Gas Law
13.4 Kinetic Theory: Atomic and Molecular Explanation of Pressure and Temperature
13.5 Phase Changes
13.6 Humidity, Evaporation, and Boiling
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 14 Heat and Heat Transfer Methods
Introduction to Heat and Heat Transfer Methods
14.1 Heat
14.2 Temperature Change and Heat Capacity
14.3 Phase Change and Latent Heat
14.4 Heat Transfer Methods
14.5 Conduction
14.6 Convection
14.7 Radiation
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 15 Thermodynamics
Introduction to Thermodynamics
15.1 The First Law of Thermodynamics
15.2 The First Law of Thermodynamics and Some Simple Processes
15.3 Introduction to the Second Law of Thermodynamics: Heat Engines and Their Efficiency
15.4 Carnot’s Perfect Heat Engine: The Second Law of Thermodynamics Restated
15.5 Applications of Thermodynamics: Heat Pumps and Refrigerators
15.6 Entropy and the Second Law of Thermodynamics: Disorder and the Unavailability of Energy
15.7 Statistical Interpretation of Entropy and the Second Law of Thermodynamics: The Underlying Explanation
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 16 Oscillatory Motion and Waves
Introduction to Oscillatory Motion and Waves
16.1 Hooke’s Law: Stress and Strain Revisited
16.2 Period and Frequency in Oscillations
16.3 Simple Harmonic Motion: A Special Periodic Motion
16.4 The Simple Pendulum
16.5 Energy and the Simple Harmonic Oscillator
16.6 Uniform Circular Motion and Simple Harmonic Motion
16.7 Damped Harmonic Motion
16.8 Forced Oscillations and Resonance
16.9 Waves
16.10 Superposition and Interference
16.11 Energy in Waves: Intensity
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 17 Physics of Hearing
Introduction to the Physics of Hearing
17.1 Sound
17.2 Speed of Sound, Frequency, and Wavelength
17.3 Sound Intensity and Sound Level
17.4 Doppler Effect and Sonic Booms
17.5 Sound Interference and Resonance: Standing Waves in Air Columns
17.6 Hearing
17.7 Ultrasound
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 18 Electric Charge and Electric Field
Introduction to Electric Charge and Electric Field
18.1 Static Electricity and Charge: Conservation of Charge
18.2 Conductors and Insulators
18.3 Coulomb’s Law
18.4 Electric Field: Concept of a Field Revisited
18.5 Electric Field Lines: Multiple Charges
18.6 Electric Forces in Biology
18.7 Conductors and Electric Fields in Static Equilibrium
18.8 Applications of Electrostatics
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 19 Electric Potential and Electric Field
Introduction to Electric Potential and Electric Energy
19.1 Electric Potential Energy: Potential Difference
19.2 Electric Potential in a Uniform Electric Field
19.3 Electrical Potential Due to a Point Charge
19.4 Equipotential Lines
19.5 Capacitors and Dielectrics
19.6 Capacitors in Series and Parallel
19.7 Energy Stored in Capacitors
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 20 Electric Current, Resistance, and Ohm’s Law
Introduction to Electric Current, Resistance, and Ohm’s Law
20.1 Current
20.2 Ohm’s Law: Resistance and Simple Circuits
20.3 Resistance and Resistivity
20.4 Electric Power and Energy
20.5 Alternating Current versus Direct Current
20.6 Electric Hazards and the Human Body
20.7 Nerve Conduction–Electrocardiograms
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 21 Circuits and DC Instruments
Introduction to Circuits and DC Instruments
21.1 Resistors in Series and Parallel
21.2 Electromotive Force: Terminal Voltage
21.3 Kirchhoff’s Rules
21.4 DC Voltmeters and Ammeters
21.5 Null Measurements
21.6 DC Circuits Containing Resistors and Capacitors
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 22 Magnetism
Introduction to Magnetism
22.1 Magnets
22.2 Ferromagnets and Electromagnets
22.3 Magnetic Fields and Magnetic Field Lines
22.4 Magnetic Field Strength: Force on a Moving Charge in a Magnetic Field
22.5 Force on a Moving Charge in a Magnetic Field: Examples and Applications
22.6 The Hall Effect
22.7 Magnetic Force on a Current-Carrying Conductor
22.8 Torque on a Current Loop: Motors and Meters
22.9 Magnetic Fields Produced by Currents: Ampere’s Law
22.10 Magnetic Force between Two Parallel Conductors
22.11 More Applications of Magnetism
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 23 Electromagnetic Induction, AC Circuits, and Electrical Technologies
Introduction to Electromagnetic Induction, AC Circuits and Electrical Technologies
23.1 Induced Emf and Magnetic Flux
23.2 Faraday’s Law of Induction: Lenz’s Law
23.3 Motional Emf
23.4 Eddy Currents and Magnetic Damping
23.5 Electric Generators
23.6 Back Emf
23.7 Transformers
23.8 Electrical Safety: Systems and Devices
23.9 Inductance
23.10 RL Circuits
23.11 Reactance, Inductive and Capacitive
23.12 RLC Series AC Circuits
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 24 Electromagnetic Waves
Introduction to Electromagnetic Waves
24.1 Maxwell’s Equations: Electromagnetic Waves Predicted and Observed
24.2 Production of Electromagnetic Waves
24.3 The Electromagnetic Spectrum
24.4 Energy in Electromagnetic Waves
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 25 Geometric Optics
Introduction to Geometric Optics
25.1 The Ray Aspect of Light
25.2 The Law of Reflection
25.3 The Law of Refraction
25.4 Total Internal Reflection
25.5 Dispersion: The Rainbow and Prisms
25.6 Image Formation by Lenses
25.7 Image Formation by Mirrors
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 26 Vision and Optical Instruments
Introduction to Vision and Optical Instruments
26.1 Physics of the Eye
26.2 Vision Correction
26.3 Color and Color Vision
26.4 Microscopes
26.5 Telescopes
26.6 Aberrations
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 27 Wave Optics
Introduction to Wave Optics
27.1 The Wave Aspect of Light: Interference
27.2 Huygens’s Principle: Diffraction
27.3 Young’s Double Slit Experiment
27.4 Multiple Slit Diffraction
27.5 Single Slit Diffraction
27.6 Limits of Resolution: The Rayleigh Criterion
27.7 Thin Film Interference
27.8 Polarization
27.9 Extended Topic Microscopy Enhanced by the Wave Characteristics of Light
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 28 Special Relativity
Introduction to Special Relativity
28.1 Einstein’s Postulates
28.2 Simultaneity And Time Dilation
28.3 Length Contraction
28.4 Relativistic Addition of Velocities
28.5 Relativistic Momentum
28.6 Relativistic Energy
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 29 Quantum Physics
Introduction to Quantum Physics
29.1 Quantization of Energy
29.2 The Photoelectric Effect
29.3 Photon Energies and the Electromagnetic Spectrum
29.4 Photon Momentum
29.5 The Particle-Wave Duality
29.6 The Wave Nature of Matter
29.7 Probability: The Heisenberg Uncertainty Principle
29.8 The Particle-Wave Duality Reviewed
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 30 Atomic Physics
Introduction to Atomic Physics
30.1 Discovery of the Atom
30.2 Discovery of the Parts of the Atom: Electrons and Nuclei
30.3 Bohr’s Theory of the Hydrogen Atom
30.4 X Rays: Atomic Origins and Applications
30.5 Applications of Atomic Excitations and De-Excitations
30.6 The Wave Nature of Matter Causes Quantization
30.7 Patterns in Spectra Reveal More Quantization
30.8 Quantum Numbers and Rules
30.9 The Pauli Exclusion Principle
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 31 Radioactivity and Nuclear Physics
Introduction to Radioactivity and Nuclear Physics
31.1 Nuclear Radioactivity
31.2 Radiation Detection and Detectors
31.3 Substructure of the Nucleus
31.4 Nuclear Decay and Conservation Laws
31.5 Half-Life and Activity
31.6 Binding Energy
31.7 Tunneling
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 32 Medical Applications of Nuclear Physics
Introduction to Applications of Nuclear Physics
32.1 Diagnostics and Medical Imaging
32.2 Biological Effects of Ionizing Radiation
32.3 Therapeutic Uses of Ionizing Radiation
32.4 Food Irradiation
32.5 Fusion
32.6 Fission
32.7 Nuclear Weapons
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 33 Particle Physics
Introduction to Particle Physics
33.1 The Yukawa Particle and the Heisenberg Uncertainty Principle Revisited
33.2 The Four Basic Forces
33.3 Accelerators Create Matter from Energy
33.4 Particles, Patterns, and Conservation Laws
33.5 Quarks: Is That All There Is?
33.6 GUTs: The Unification of Forces
Glossary
Section Summary
Conceptual Questions
Problems & Exercises
Chapter 34 Frontiers of Physics
Introduction to Frontiers of Physics
34.1 Cosmology and Particle Physics
34.2 General Relativity and Quantum Gravity
34.3 Superstrings
34.4 Dark Matter and Closure
34.5 Complexity and Chaos
34.6 High-temperature Superconductors
34.7 Some Questions We Know to Ask
Glossary
Section Summary
Conceptual Questions
Problems & Exercises