200 More Puzzling Physics Problems - With Hints and Solutions PDF
Preview 200 More Puzzling Physics Problems - With Hints and Solutions
200MorePuzzlingPhysicsProblems WithHintsandSolutions Likeitspredecessor,200PuzzlingPhysicsProblems,thisbookisaimedatstrengthening students’ grasp of the laws of physics by applying them to situations that are practical and to problems that yield more easily to intuitive insight than to brute-force methods andcomplexmathematics.Theproblemsarechosenalmostexclusivelyfromclassical(i.e. non-quantum)physics,butarenoeasierforthat.Theyareintriguinglyposedinaccessible non-technical language, and require readers to select an appropriate analysis framework and decide which branches of physics are involved. The general level of sophistication neededisthatoftheexceptionalschoolstudent,thegoodundergraduateorthecompetent graduatestudent.Somephysicsprofessorsmayfindsomeofthemoredifficultquestions challenging.Bycontrast,themathematicaldemandsarerelativelyminimal,andseldomgo beyondelementarycalculus.Thisfurtherbookofphysicsproblemsshouldprovenotonly instructiveandchallenging,butalsoenjoyable. péter gnädig graduated as a physicist from Eötvös University (ELTE) in Budapest in 1971 and receivedhisPhDdegreeintheoreticalparticlephysicstherein1980.Heworkedasaresearcher(in high-energyphysics)andalecturerintheDepartmentofAtomicPhysicsatELTEuntilheretired in 2010. Between 1985 and 2004 he was one of the leaders of the Hungarian Olympic team that tookpartintheInternationalPhysicsOlympiad.Since1989hehasbeenthephysicseditorforthe MathematicalandPhysicalJournalforSecondarySchools(Budapest).Heisoneoftheauthorsof 200PuzzlingPhysicsProblems. gyulahonyekgraduatedasaphysicistfromEötvösUniversity(ELTE)in1975andfinishedhis PhDstudiestherein1977,afterwhichhestayedonasaresearcherandlecturerintheDepartment ofGeneralPhysics.In1984,followingatwo-yearpostgraduatecourse,hewasawardedateacher’s degreeinphysics.In1985hetransferredtotheteachertrainingschoolatELTE,andheldapostas mentorandteacheratRadnótiGrammarSchool(Budapest)untilhisretirementin2011.Between 1986 and 2011 he was one of the leaders of the Hungarian Olympic team that took part in the InternationalPhysicsOlympiad.Heisalsooneoftheauthorsof200PuzzlingPhysicsProblems. máté vigh graduated as a physicist from Eötvös University (ELTE) in 2010, and will shortly be proceedingtohisPhD.HetookpartintheInternationalPhysicsOlympiad(IPhO)in2003and2004 asacontestant,beingawarded,respectively,bronzeandsilvermedals.Since2012hehasbeenone oftheleadersandtrainersoftheHungarianteamspreparingforandparticipatingintheIPhO. ken riley read mathematics at the University of Cambridge and proceeded to a PhD there in theoretical and experimental nuclear physics. As well as following a research career in particle physics, he was the Senior Tutor at Clare College, Cambridge, and a University Lecturer at the CavendishLaboratory,wherehetaughtphysicsandmathematicsforover40years.Amonghisother publications are the widely established mathematics textbook Mathematical Methods for Physics and Engineering (now in its third edition), and the physics problems books Problems for Physics Studentsand200PuzzlingPhysicsProblems,allpublishedbyCambridgeUniversityPress. 200 More Puzzling Physics Problems With Hints and Solutions PéterGnädig EötvösLorándUniversity,Budapest GyulaHonyek RadnótiGrammarSchool,Budapest MátéVigh EötvösLorándUniversity,Budapest KenRiley ConsultantEditorfortranslationandscientificediting ClareCollege,Cambridge UniversityPrintingHouse,CambridgeCB28BS,UnitedKingdom CambridgeUniversityPressispartoftheUniversityofCambridge. ItfurtherstheUniversity’smissionbydisseminatingknowledgeinthepursuitof education,learningandresearchatthehighestinternationallevelsofexcellence. www.cambridge.org Informationonthistitle:www.cambridge.org/9781107103856 ©P.Gnädig,G.HonyekandM.Vigh2016 Thispublicationisincopyright.Subjecttostatutoryexception andtotheprovisionsofrelevantcollectivelicensingagreements, noreproductionofanypartmaytakeplacewithoutthewritten permissionofCambridgeUniversityPress. Firstpublished2016 PrintedintheUnitedKingdombyTJInternationalLtd.PadstowCornwall AcatalogrecordforthispublicationisavailablefromtheBritishLibrary LibraryofCongressCataloguinginPublicationData Names:Gnädig,Péter,author. Title:200morepuzzlingphysicsproblemswithhintsandsolutions/Péter Gnädig,EötvösLorándUniversity. Othertitles:Twohundredmorepuzzlingproblemsinphysicswithhints andsolutions Description:Cambridge,UnitedKingdom;NewYork,NY:CambridgeUniversity Press,2016.|©2016|Includesbibliographicalreferencesandindex. Identifiers:LCCN2015037120|ISBN9781107103856(Hardback:alk.paper)| ISBN1107103851(Hardback:alk.paper)|ISBN9781107503823(pbk.:alk.paper)| ISBN1107503825(pbk.:alk.paper) Subjects:LCSH:Physics–Problems,exercises,etc. Classification:LCCQC32.G5232016|DDC530.076–dc23LCrecordavailable athttp://lccn.loc.gov/2015037120 ISBN978-1-107-10385-6Hardback ISBN978-1-107-50382-3Paperback CambridgeUniversityPresshasnoresponsibilityforthepersistenceoraccuracy ofURLsforexternalorthird-partyinternetwebsitesreferredtointhispublication, anddoesnotguaranteethatanycontentonsuchwebsitesis,orwillremain, accurateorappropriate. Dedicatedto FrederickKárolyházy fromwhomwehavelearnedsomuch Contents Preface pageix Howtousethisbook xiii Thematicorderofproblems xv Problems 1 Hints 65 Solutions 91 Appendix:Usefulmathematicalformulae 467 Physicsreferencetables 477 vii
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