## Solutions for Physics for Scientists and Engineers with Modern Physics

# Browse All Chapters of This Textbook

Chapter 1 - Physics And MeasurementChapter 1.1 - Standards Of Length, Mass, And TimeChapter 1.3 - Dimensional AnalysisChapter 1.4 - Conversion Of UnitsChapter 2 - Motion In One DimensionChapter 2.1 - Position, Velocity, And Speed Of A ParticleChapter 2.2 - Instantaneous Velocity And SpeedChapter 2.5 - AccelerationChapter 2.6 - Motion DiagramsChapter 2.7 - Analysis Model: Particle Under Constant Acceleration

Chapter 2.8 - Freely Falling ObjectsChapter 3 - VectorsChapter 3.2 - Vector And Scalar QuantitiesChapter 3.3 - Basic Vector ArithmeticChapter 3.4 - Components Of Vector And Unit VectorsChapter 4 - Motion In Two DimensionsChapter 4.1 - The Position, Velocity, And Acceleration VectorsChapter 4.3 - Projectile MotionChapter 4.4 - Analysis Model: Particle In Uniform Circular MotionChapter 4.5 - Tangential And Radial AccelerationChapter 5 - The Laws Of MotionChapter 5.2 - Newton's First Law And Inertial FramesChapter 5.4 - Newton's Second LawChapter 5.5 - The Gravitational Force And WeightChapter 5.6 - Newton's Third LawChapter 5.8 - Force Of FrictionChapter 6 - Circular Motion And Other Applications Of Newton's LawsChapter 6.1 - Extending The Particle In Uniform Circular Motion ModelChapter 6.2 - Nonuniform Circular MotionChapter 6.3 - Motion In Accelerated FramesChapter 6.4 - Motion In The Presence Of Resistive ForcesChapter 7 - Energy Of A SystemChapter 7.2 - Work Done By A Constant ForceChapter 7.3 - The Scalar Product Of Two VectorsChapter 7.4 - Work Done By A Varying ForceChapter 7.5 - Kinetic Energy And The Work-kinetic Energy TheoremChapter 7.6 - Potential Energy Of A SystemChapter 7.8 - Relationship Between Conservative Forces And Potential EnergyChapter 8 - Conservation Of EnergyChapter 8.1 - Analysis Model: Nonisolated System(energy)Chapter 8.2 - Analysis Model: Isolated System(energy)Chapter 8.3 - Situations Involving Kinetic FrictionChapter 9 - Linear Momentum And CollisionsChapter 9.1 - Linear MomentumChapter 9.3 - Analsis Model: Nonisolated System(momentum)Chapter 9.4 - Collisions In One DimensionChapter 9.6 - The Center Of MassChapter 9.7 - Systems Of Many ParticlesChapter 10 - Rotation Of A Rigid Object About A Fixed AxisChapter 10.1 - Angular Position, Velocity, And AccelerationChapter 10.2 - Analysis Model: Rigid Object Under Constant Angular AccelerationChapter 10.3 - Angular And Translational QuantitiesChapter 10.4 - TorqueChapter 10.5 - Analysis Model: Rigid Object Under A Net TorqueChapter 10.7 - Rotational Kinetic EnergyChapter 10.9 - Rolling Motion Of A Right ObjectChapter 11 - Angular MomentumChapter 11.1 - The Vector Product And TorqueChapter 11.2 - Analysis Model: Nonisolated System(angular Momentum)Chapter 11.3 - Angular Momentum Of A Rotating Rigid ObjectChapter 11.4 - Analysis Model: Isolated System(angular Momentum)Chapter 12 - Static Equilibrium And ElasticityChapter 12.1 - Analysis Model: Rigid Objects In EquilibriumChapter 12.2 - More On The Center Of GravityChapter 12.4 - Elastic Properties Of SolidsChapter 13 - Universal GravitationChapter 13.1 - Newton's Law Of Universal GravitationChapter 13.2 - Free-fall Acceleration And The Gravitational ForceChapter 13.4 - Kepler's Laws And The Motion Of PlanetsChapter 13.6 - Energy Considerations In Planetary And Satellite MotionChapter 14 - Fluid MechanicsChapter 14.1 - PressureChapter 14.2 - Variation Of Pressure With DepthChapter 14.3 - Pressure MeasurementsChapter 14.4 - Buoyant Forces And Archimedes's PrincipleChapter 14.6 - Bernoulli's EquationChapter 15 - Oscillatory MotionChapter 15.1 - Motion Of An Object Attached To A SpringChapter 15.2 - Analysis Model: Particle In Simple Harmonic MotionChapter 15.4 - Comparing Simple Harmonic Motion With Uniform Circular MotionChapter 15.5 - The PendulumChapter 16 - Wave MotionChapter 16.1 - Propagation Of A DisturbanceChapter 16.2 - Analysis Model: Traveling WaveChapter 16.3 - The Speed Of Waves On StringChapter 16.4 - Rate Of Energy Transfer By Sinusoidal Waves On StringsChapter 16.6 - Sound WavesChapter 16.8 - Intensity Of Sound WavesChapter 16.9 - The Doppler EffectChapter 17 - Superposition And Standing WavesChapter 17.1 - Analysis Model: Waves In InterferenceChapter 17.2 - Standing WavesChapter 17.4 - Analysis Model: Waves Under Boundary ConditionsChapter 17.6 - Standing Waves In Air ColumnsChapter 18 - TemperatureChapter 18.1 - Temperature And The Zeroth Law Of ThermodynamicsChapter 18.3 - The Constant-volume Gas Thermometer And The Absolute Temperature ScaleChapter 18.4 - Thermal Expansion Of Solids And LiquidsChapter 18.5 - Macroscopic Description Of An Ideal GasChapter 19 - The First Law Of ThermodynamicsChapter 19.2 - Specific Heat And CalorimetryChapter 19.3 - Latent HeatChapter 19.5 - The First Law Of ThermodynamicsChapter 19.6 - Energy Transfer Mechanisms In Thermal ProcessesChapter 20 - The Kinetic Theory Of GasesChapter 20.1 - Molecular Model Of An Ideal GasChapter 20.2 - Molar Specific Heat Of An Ideal GasChapter 20.3 - The Equipartition Of EnergyChapter 21 - Heat Engines, Entropy, And The Second Law Of ThermodynamicsChapter 21.1 - Heat Engines And The Second Law Of ThermodynamicsChapter 21.2 - Heat Pumps And RefrigeratorsChapter 21.4 - The Carnot EngineChapter 21.6 - EntropyChapter 21.7 - Entropy In Thermodynamic SystemsChapter 22 - Electric FieldsChapter 22.1 - Properties Of Electric ChargesChapter 22.2 - Charging Objects By InductionChapter 22.3 - Coulomb's LawChapter 22.4 - Analysis Model: Particle In A Field(electric)Chapter 22.5 - Electric Field LinesChapter 23 - Continuous Charge Distributions And Gauss's LawChapter 23.2 - Electric FluxChapter 23.3 - Gauss's LawChapter 24 - Electric PotentialChapter 24.1 - Electric Potential And Potential DifferenceChapter 24.2 - Potential Difference In A Uniform Electric FieldChapter 24.3 - Electric Potential And Potential Energy Due To Point ChargesChapter 24.4 - Obtaining The Value Of The Electric Field From The Electric PotentialChapter 25 - Capacitance And DielectricsChapter 25.1 - Definition Of CapacitanceChapter 25.2 - Calculating CapacitanceChapter 25.3 - Combinations Of CapacitorsChapter 25.4 - Energy Stored In A Charged CapacitorChapter 25.5 - Capacitors With DielectricsChapter 26 - Current And ResistanceChapter 26.1 - Electric CurrentChapter 26.2 - ResistanceChapter 26.4 - Resistance And TemperatureChapter 27 - Direct-current CircuitsChapter 27.1 - Electromotive ForceChapter 27.2 - Resistors In Series And ParallelChapter 27.4 - Rc CircuitsChapter 28 - Magnetic FieldsChapter 28.1 - Analysis Model: Particle In A Field(magnetic)Chapter 28.2 - Motion Of Charged Particle In A Uniform Magnetci FieldChapter 28.4 - Magnetci Force Acting On A Current-carrying ConductorChapter 28.5 - Torque On A Current Loop In A Uniform Magnetic FieldChapter 29 - Sources Of The Magnetic FieldChapter 29.1 - The Biot-savart LawChapter 29.2 - The Magnetic Force Between Two Parallel ConductorsChapter 29.3 - Ampere's LawChapter 29.4 - The Magnetic Field Of A SolenoidChapter 30 - Faraday's LawChapter 30.1 - Faraday's Law Of InductionChapter 30.2 - Motional EmfChapter 30.3 - Lenz's LawChapter 30.5 - Generators And MotorsChapter 31 - InductanceChapter 31.1 - Self-induction And InductanceChapter 31.2 - Rl CircuitsChapter 31.3 - Energy In A Magnetic FieldChapter 31.4 - Mutual InductanceChapter 31.5 - Oscillations In An Lc CircuitChapter 32 - Alternating-current CircuitsChapter 32.2 - Resistors In An Ac CircuitChapter 32.3 - Inductors In An Ac CircuitChapter 32.4 - Capacitors In An Ac CircuitChapter 32.5 - The Rlc Series CircuitChapter 32.6 - Power In An Ac CircuitChapter 32.7 - Resonance In A Series Rlc CircuitChapter 33 - Electromagnetic WavesChapter 33.1 - Displacement Current And The General Form Of Ampere's LawChapter 33.3 - Plane Electromagnetic WavesChapter 33.5 - Momentum And Radiation PressureChapter 33.6 - Production Of Electromagnetic Waves By An AntennaChapter 33.7 - The Spectrum Of Electromagnetic WavesChapter 34 - The Nature Of Light And The Principles Of Ray OpticsChapter 34.3 - Analysis Model: Wave Under ReflectionChapter 34.4 - Analysis Model: Wave Under RefractionChapter 34.6 - DispersionChapter 34.7 - Total Internal ReflectionChapter 35 - Image FonnationChapter 35.1 - Images Formed By Flat MirrorsChapter 35.2 - Images Formed By SphericalmirrorsChapter 35.3 - Images Formed By RefractionChapter 35.4 - Images Formed By Thin LensesChapter 35.6 - Optical InstrumentsChapter 36 - Wave OpticsChapter 36.2 - Analysis Model:waves In InterferenceChapter 36.3 - Intensity Distribution Of The Double-slit Interference PatternChapter 36.5 - Interference In Thin FilmsChapter 37 - Diffraction Patterns And PolarizationChapter 37.2 - Diffraction Patterns Firom Narrow SlitsChapter 37.3 - Resolution Of Single-slit And Circular AperturesChapter 37.4 - The Diffraction GratingChapter 37.6 - Polar Zation Of LightwavesChapter 38 - RelativityChapter 38.1 - The Princ Ple Of Ga Lilean RelativityChapter 38.4 - Consequences Of The Special Theory Of ReativityChapter 38.6 - The Lorentz Velocity Transformation EquationsChapter 38.8 - Relativistic EnergyChapter 39 - Introduction To Quantum PhysicsChapter 39.1 - Blackbody Radiation And Planck’s HypothesisChapter 39.2 - The Photoelectric EffectChapter 39.3 - The Compton EffectChapter 39.5 - The Wave Properties Of ParticlesChapter 39.6 - A New Model: The Quantum ParticleChapter 40 - Quantum MechanicsChapter 40.1 - The Wave FunctionChapter 40.2 - Analysis Model: Quantum Particle Under Boundary ConditionsChapter 40.5 - Tunneling Through A Potential Energy BarrierChapter 41 - Atomic PhysicsChapter 41.3 - Bohr’s Model Of The Hydrogen AtomChapter 41.4 - The Quantum Model Of The Hydrogen AtomChapter 41.8 - More On Atomic Spectra: Visible And X-rayChapter 42 - Molecules And SolidsChapter 42.1 - Molecular BondsChapter 42.2 - Energy States And Spectra Of MoleculesChapter 43 - Nuclear PhysicsChapter 43.1 - Some Properties Of NucleiChapter 43.5 - The Decay ProcessesChapter 43.8 - Nuclear FissionChapter 43.10 - Nuclear FusionChapter 44 - Particle Physics And CosmologyChapter 44.2 - Positrons And Other AntiparticlesChapter 44.5 - Conservation LawsChapter 44.8 - Quarks

# Sample Solutions for this Textbook

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Given information: The average mass of the Earth is 5.97×1024 kg and the mean radius of the Earth is...Section 1: To determine: The density of the aluminum sphere. Answer: The density of the aluminum...Chapter 1, Problem 17PChapter 1, Problem 34APChapter 2, Problem 1PChapter 2, Problem 10PChapter 2, Problem 11PChapter 2, Problem 23PChapter 2, Problem 43CP

Chapter 3, Problem 1PSection 1: To determine: The magnitude of D→=A→+B→+C→ . Answer: The magnitude of D→=A→+B→+C→ is 2.83...Chapter 3, Problem 28PGiven information: The velocity of hurricane for the first 3 hours is 41.0 km/h with a direction of...Chapter 3, Problem 46CPChapter 4, Problem 1PChapter 4, Problem 4PChapter 4, Problem 12PChapter 4, Problem 43APChapter 4, Problem 44APChapter 5, Problem 1PChapter 5, Problem 7PChapter 5, Problem 31PChapter 5, Problem 39APChapter 5, Problem 40APChapter 5, Problem 51CPChapter 6, Problem 1PChapter 6, Problem 12PChapter 6, Problem 19PChapter 6, Problem 45CPChapter 6, Problem 47CPChapter 6, Problem 48CPChapter 7, Problem 1PChapter 7, Problem 27PChapter 7, Problem 32PChapter 7, Problem 33PGiven Information: The mass of an object is 5.00 kg , the magnitude of the first force is 25.0 N at...Chapter 7, Problem 50CPExplanation: Given information: A ball of mass m falls from a height h to the floor. From the...Explanation: Given information: The mass of the child is m , the height of the slide is h and the...Given info: The mass of the empty car is 250 kg , the height of the track is 110 m , the total...Chapter 8, Problem 26APChapter 8, Problem 44CPChapter 9, Problem 1PChapter 9, Problem 28PChapter 9, Problem 34PChapter 9, Problem 37APChapter 9, Problem 47APGiven information: The mass of the object is 3 kg , the velocity of the object is 7j^ m/s and the...Chapter 10, Problem 1PChapter 10, Problem 33PGiven information: The mass of car is 800 kg , mass of counterweight is 950 kg , mass of pulley is...Given information: The mass of hour hand is 60 kg , mass of minute hand is 100 kg , length of hour...Given information: The diameter of the flywheel must be no more than 18.0 cm and the length is not...Given information: The vector M→ is 2i^−3j^+k^ and the vector N→ is 4i^+5j^−2k^ . The cross product...Chapter 11, Problem 14PChapter 11, Problem 30PGiven information: The mass of sign is 2.40 kg , the vertical length of sign is 50 cm , the maximum...Chapter 11, Problem 37APGiven information: The mass of Jacob is 45.0 kg , the mass of Ethan is 31.0 kg , the speed of Jacob...Chapter 12, Problem 1PChapter 12, Problem 12PChapter 12, Problem 27APChapter 12, Problem 35APChapter 12, Problem 38APExplanation: Given information: Two lead spheres masses of 1.50 kg and 15.0 g whose centers of...Given info: The initial speed of the vehicle is vi , the escape speed of space vehicle is vesc and...Explanation: Given information: The maximum distance from the Earth to the Sun is 1.521×1011 m and...Given information: The mass of the satellite is 100 kg . 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The period of wave is...Given info: The normal human body temperature in degree Fahrenheit is 98.6 °F . In the new scale the...Given information:Initial temperature is 20.0 °C , inner diameter of the aluminium ring is 5.0000 cm...Given info: The distance between two holes drilled at 0 °C is 40.0 cm , the melting temperature of...Chapter 18, Problem 35APGiven info: The angle made by the roof with the horizontal plane is θ , the initial temperature is...Given information: Mass of the woman is 55.0 kg and energy in one doughnut is 540 Calorie(540 kcal)...Chapter 19, Problem 22PChapter 19, Problem 35APGiven info: The mass of one bullet is 12.0 g , mass of second bullet is 8.00 g , speed of one bullet...Let the rate of energy transfer is P , radius of the spherical surface is r , the elemental...Chapter 20, Problem 1PChapter 20, Problem 21PChapter 20, Problem 29APIntroduction: The Maxwell distribution curve is the graph between the distribution of speed and the...Given information:Value of average speed is vmp50.0 . 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U=keq1q2r (I) Here, U is the potential energy, ke is the...Write the given wave function of the electron. ψ(x)={Ae−αx for x>0Ae+αx for x<0 (I) Here, ψ(x)...Write the Schrodinger equation for a simple harmonic oscillator. −ℏ22md2ψdx2+12mω2x2ψ=Eψ Here, ℏ is...Write the expression to calculate the wavelength of the first line. λ=1RH(n2n2−1) Here, λ is the...Write the equation for acceleration according to Newton’s second law. a=Fm (I) Here, F is the force,...Write the equation for the angular momentum of electron. L=mevr Here, L is the angular momentum of...Write the general expression for the energy levels of one electron atoms. En=−μke2q12q222ℏ2n2 Here,...The gravitational force between Earth and sun is balanced by the centripetal force of rotational...Write the expression to calculate the energy of the helium. 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Physics for Scientists and Engineers With Modern Physics

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ISBN: 9781133953982

Physics for Scientists and Engineers With Modern Physics

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Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University

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PHYS FOR SCIENTISTS& ENGINEERS WMOD PHYS

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