Giáo trình luyện thi đại học môn lí !"#$ %&'"'()*"+,'() !"#- /'()0'1/20%#3%4!5-$ !"#-6 7'8!(9'"'() !"#.: ;,!&<=>?@ωABϕCDEF<=E>@ωABϕC.G !"#.G )HI50JK5!(. !"#: %&9'"L !"#G %&9'"!#JM;%4JHNO '"N#O!#!5:- !"#:. %&'"P;QMRS**#:: !"#:6 7'803T0'17M:L !"#UV R8,UU !"#U$ SW/S1!MSW$V SW$V !"#$ SW$$ !"#$$ ,!&SW0SW6V !"#6. SWXL !"#LU #)M0SW#XGV (#)MGV !"#G. 4SY*Z-V: !"#-V6 P/H1!I 6 !"# G P/H'#, !"# : MQ"!(#0HM,H#)M, G !"# G %42PP,*HM,H#P,- !"#-: HMP;H,0!M[#7-L !"#-:V #X/SW#X-:6 !"#-:G SWHSH-UG HS"HSH-UG !"#-$V HSH-$: Trang - 1- Giáo trình luyện thi đại học môn lí !"#-$G HMJ,R0J,RHSH02*\* !]*-6L !"#-LV '8\HSH-LL #8J#-LL !"#-GV P/H)-GG !"#-GG S1,HJ.V- !"#.V. MQ\!4.V: !"#.VU S'8'S]!.VG !"# V MQ\ Y !"# ,[^ U !"# 6 #8,W) : !"# 6 ,D_AD`AEaDb.$ Trang - 2- Giáo trình luyện thi đại học môn lí CHƯƠNG I: DAO ĐỘNG CƠ HỌC 'cDdDefghijek?jeDliAmnAopqr@nAopqrcmn AoAsD?tumvAwD?DxyEhiz{h|D}~asAaytmvAqrVC 'cyEhilcAkADa?DefghiumvAF~k?Dx•>e DdwDE€AD•??qrDe@kADa?DefghiqE‚lAbhizmvAƒm? Aƒ„€m…Dx†mchi†C cyEhihx}l_A€AD‡EhnDevADˆD>?@DEFE>?CAD‡EAD•? ?z~Dx‰AˆD|yk<=>?@ωABϕCDEF<=E>@ωABϕC‚ADnuyEhih?…e DŠcliAhx•>?@DˆDm‹C Eh| <Abhi@DfmnAoCumvA E>@ωABϕCc?hi@hiŒDumvA>Em†?mnAopqrC P?thiyEhizc?hishk?ze_cDr>ƒyx‰ ω•>ƒ|@hEqryŽ>Cze_cDr>ƒyx‰ @ωABϕC,DyEhi@hEqryCzDE~D•~A<ahnDAkADa?yEhiumvA Ak?AD•?h?glA ϕ,Dqh•ezcDr>ƒyx‰DEFpl~DADeimcEaDADblƒAD•??@A =A V C •Dewˆ@hEqr?pf@>CCcwDE€AD•??‘D’A>eh|AkADa?yEhiv~ k?DxeõDEFcAD•??hgmvAADsD?ŒliAyEhi@AcAD•??mvAADsD?Œhx} yEhiC ••>ƒ“@hEqrD•”Cc>ƒDewˆ@Df>ƒyEhiCmvAADsD?ŒAEliAh‰mn AD•?? @-”=-yEhiŽ?pfC •b? ) z• ) cDewˆmcA•>ƒumvA)b? M z• M cDewˆmcA•>ƒumvAM%D?h| AE–wDE€AD•??A—emvA)ADsD?Œhx} ) yEhiADˆmvAM>‹ADsD?Œ hx} M yEhimc !"!#)•AliAmvAyEhih?…eDEc|~Dx‰ AˆD<=E>@ωABϕC vAƒm=<˜=0ω>?@ωABϕC⇔m=ωE>@ωABϕBC⇒m l< =ωzwD?mvAje P q?Aƒ=m˜=<˜˜=0ω . E>@ωABϕC=0ω . <⇔=0ω . <=ω . E>@ωABϕBπC ⇒ l< =ω . zwD?mvA{mnAoq?t •DE l< mcm l< ˆlDewˆzA•>ƒ“zq?thiAy–_AD`ω= l< l< " mc= l< . l< " }~s™AaytmvAyEhih?…eDŠzŠb?csD‚?~DDfsw•Em…c spfyEhih?…eDŠz|q?geAD`™=l=0lω . <=lω . E>@ωABϕBπCscf •q?—AD?th?…eDŠm†?A•>ƒ“z|D?…ee_Dx†m…mnAopqrzAa?y’e@0CzAš Œ@ω . Cmcx}~Dm†??hi<@Dx?AƒC •vAƒmc?Aƒ•q?—AD?th?…eDEc–A•>ƒm†??hi •vAƒ>†l~DπŽ.>Em†??hiz?Aƒx}~Dm†??hi Trang - 3- Giáo trình luyện thi đại học môn lí •?Aƒ=0ω . <AšŒmcAa?y’em†??hi@DŒ>ƒA›Œc0ω . Cmce_Dx†m…mnAop qr $%&'! ("!!)!*+# 0—emœVmvADefghi–D?…eyx‰•—emžVmvADefghiAD‡ED?…el 0—emœVmvADefghiDDy••—emžVmvADefghiDvly• Chú ý:EhicEk?Defghi|?Aƒq?—AD?th?…eDŠtAwD_ADg|? yEhiDDy•h…eDfDvly•h…emˆDefghiDDy•h…eDfDvly•h…e ~D€?|?AƒcDr>ƒzq{?mvfAD›|ADg|?yEhiDDy•@AŸq?tm…p qrCDfDvly•@AŸpqrq?tC ,%-./0/1!"!#2#! •Je hx•h?AE-Dew¡e_c:•AE-Ž.Dew¡e_c. •Je hx•h?AEŽ:Dew¡c—emvA<e’A~DaAAŸPDEFmnAoq?t@A`cϕ =V•±πŽ.•πC •ƒhiAeqˆD==⇒AEliADewˆ@Df¢DewˆC=== π l< ." •vAƒAeqˆDmqrhiq?—AD?t?hiAE-h‰mnAD•??m= 33 − − = ⇒mvAƒAeqˆDAEliADewˆqrV@wD_tD•lwDa??ŒlAƒhiAeqˆD mcmvAƒAeqˆD£C •ƒhiA`AD•?chi†umvAƒA`AD•?Ak?liAAD•?h?gl •D•??mvAh?AŸPq?tDEFAŸq?tm…Pe_cŽ: 4&#/015!65/7#8!29 •—e~Dx‰AˆDyEhi|yk<=E>@ωABϕCBm†?=E>AADˆ 0<cAEkhiz< V =E>@ωABϕCc?hi⇒?hishk?< Vl< =cq?thi 0P?thiczA•>ƒ|cωz~Dqh•eϕ 0EkhimnAopqr<=zAEkhimnAoq?t<=±B 0vAƒm=<˜=< V ’z?Aƒ=m˜=<¤=< V ¤⇒m l< =¥mc l< =¥ . 0ŒAD`hiv~=0ω . < V • . . V . += ω " 3: •—e~Dx‰AˆDyEhi|yk<=E> . @ωABϕCB⇔<=BBE>@.¥AB.ϕC ⇒P?thiŽ.zA•>ƒ|.ωz~Dqh•e.ϕzAbhimnAopqr<=BŽ.•Abhi q?t<=Bmc<= •—e~Dx‰AˆDyEhi|yk<=>? . @ωABϕCB ⇔<=B0E>@.¥AB.ϕC⇔<=BBE>@.ωAB.ϕ±πC ⇒P?thiŽ.zA•>ƒ|.ωz~Dqh•e.ϕ±πzAbhimnAopqr<=BŽ.•Ab hiq?t<=Bmc<= •—e~Dx‰AˆDyEhi|yk<=E>@ωABϕCBq>?@ωABϕC FAE>¦= 2 + ⇒>?¦= 2 2 + ⇒<= 2 + §E>αE>@ωABϕCB>?α>?@ωABϕC¨ ⇔<= 2 + E>@ωABϕ0αC⇒|q?thi= 2 + z~Dqh•eϕ˜=ϕ0¦ ;<!9=!!> 5"?0@AB5C! Ÿ~Dx‰AˆDyEhiA|<=E>@ωABϕC⇒E>@ωABϕC=@-C cm=<˜=0ω>?@ωABϕC⇒>?@ωABϕC=0@.C PˆD~Dx‰.m—@-Cmc@.Cmcik?>? . @ωABϕCBE> . @ωABϕC= - = −+ ω : " : 3 vfAx‰AsA|aDŒAD`hiv~m†?AD•?? Trang - 4- Giáo trình luyện thi đại học môn lí • - = + ω : " : 3 ⇔m=±ω 3: − ⇔ω= 3: " − ⇔= . . . ω " 3 + = . . : . ωω " + • - . l< . = + " " : 3 • - . l< . l< = + " " • - . l< . l< = + " " D D •ˆlq?thimcA•>ƒ|ωwD?q?—A@< - zm - C•@< . zm . Cω= . . . - . - . . 33 "" − − mc= . . . - . - . . . . . - "" 3"3" − − •=0ω . <•™=l=0lω . < •<zmzz™h…e~DADeiAD•??AD‡Eh‚ADnDˆD>? •aF~?aAn§<mcm¨•§mcm¨•§™mcm¨me_~DDet~DADeiDeAD‡Eh‚ADn DˆD‡?~ •aF~?aAn§<mc¨•§mc™¨•§<mc™¨~DADeiDeAD‡Eh‚ADnchEkAD©je ƒAbhi<f E&6(F!<!>G EhiA‘Ay•'cyEhi|q?thi?€ly•@Df‰ª?€ly•CAD‡EAD•?? @eftDpyEAay€usl>aAC'sl>aA†jeaAˆDA‘Ay•cDDmc x}k?^yAEaDŒADƒ?€l<|u_A_z<‡lafzDƒezaDpl„ qEhiAsyE'cyEhi|A•>ƒ@DfDewˆCD›~DmcEahFAoD’eAkE@wzlC uDŒlcwD_~DADeimcEaf—eAƒEc?@Ek?sCEhiAsyE>‹A‘Ay•yEl >aA EhiyefAˆ'cyEhiAsyElcx•?Ah q«>eªx}DEmvA>el¬? DewˆyEhizªx}q«>eh-qrªx}l’Ah?JeaAˆDq«>eª x}chgyefAˆyEhiD`wD_clADfh«?hFAoD’eAkEzwD_clADfh«?q? himcDewˆDfA•>ƒyEhiuDŒ yEhix®q`'cyEhiDneAayuEk?sq?—AD?tAe•DEcAD‡E AD•??™=™ V E>@ωABϕCm†?™ V cq?thiuEk?s BPh•eyEhiuDtcliAyEhi~D`Ak~yE>sA«D}~uyEhi?tmc yEhix®q`>eh|yEhi?tA‘Ay•mvA>‹yEhi«hnDm†?A•>ƒu Ek?s BP?thiuyEhix®q`Aª—eq?thiEk?s@x•hisCAªmcx} k? BP?thiuyEhix®q`?€l—es€l_?Ax•Aªmcx}k? BP?thiuyEhix®q`Aª—ehiDtDŒD?dA•>ƒuEk?smcA• >ƒyEhi?t?€l !"iAmvAl|A•>ƒyEhi?tcω V zmvADneAayuEk?sx®q`| q?geAD`™=™ V E>@¥ABϕCmcmvAyEhim†?q?thiADˆwD?h|Aƒhishk?umvAc m l< =ω•?Aƒshk?c l< =ω . mc™=lω . <⇒™ V =lω . ‡?ŒAx}iDx{'cD?ŒAx}q?thiyEhix®q`AªliAaDhiA iAwD?A•>ƒyEhix®q`<’~<›qrA•>ƒyEhi?tuDŒ%D?h| ƒ=ƒ V Dfω=ω V Df= V †?ƒzωzmcƒ V zω V z V cA•>ƒzA•>ƒ|zDew¡usx®q` mcuDŒyEhiP?thiuiDx{~DADeimcEsl>aAzq?thiui Dx{†wD?sl>aAD¯mcx}k? Bb?ƒ V cA•>ƒyEhi?tzƒcA•>ƒEk?sx®q`zq?thiyEhix® q`>‹Aªy•wD?ƒc•m†?ƒ V †?–x•hiEk?s—eƒ . œƒ - œƒ V ADˆ . ž - mˆƒ - •ƒ V D‰ BiAmvA|DewˆyEhi?tchx}A‡EmcEA•<‡_A_zDfAceD¯zDfaDAt m?x•?„hDefghiAthx•ADˆh?…ew?ŒhgmvAh||q?thiyEhi† Trang - 5- Giáo trình luyện thi đại học môn lí D’A@iDx{CwD?mvAƒDefghiu_A_DfAceD¯zDfx•?aDcm=m†?y cwDE€aD.qx†Dpux•?aDzDf.h•eƒ?ADDfuAceD¯DfwDE€ aD.°«c¤Df.•?€lAƒAthx•u_A_„ ƒCSE>aDyEhiAe•DEcmcyEhih?…eDŠ •?ƒDe…e|AkADa?yEhiF~k?Dx•>el¬?Dewˆ…e~D€?|h?…e w?ŒcwD_|s€ul_?Ax•iAmvAyEhih?…eDŠADˆ>‹yEhiAe• DEc •%DaDeEyEhih?…eDŠje±hkEyEhi~D€?chx•AD©zƒAbhi ~D€?A–mnAopqrŠyEhiAe•DEcADˆwD_•h?…eh|iAmvAyEhi Ae•D‚DxD‘h yEhih?…eDŠD©DkE‘h‰yEhim†?q?thi| †@†D‰-V V CwD_|l>aA>‹yEhiAe•DEcmcwD_yEhih?…eDŠmˆwD? h|je±hkEyEhiuE‘wD_~D€?chx•AD© Câu 1. DbpeA€•?h-E~Dx‰AˆDyEhih?…eDEc<=E>@ωABϕC #$P?thizA•>ƒ|ωz~Dqh•eϕcaDr>ƒyx‰ %$P?thizA•>ƒ|ωz~Dqh•eϕcaDr>ƒpl &$P?thizA•>ƒ|ωzcaDr>ƒyx‰z~Dqh•eϕcaDr>ƒ~DADei aDDbƒAD•?? "$P?thizA•>ƒ|ωz~Dqh•eϕcaDr>ƒ~DADeimcEaDDbƒAD•? ?A=V Câu 2. DbpesaiDewˆyEhic #$D•??hgmvAh?hx}je qr:•q?thi %$D•??‘D’Ahg?hiyEhiF~k?Dx• &$D•??‘D’AhgAkADa?yEhiF~k?Dx• "$D•??hgmvAADsD?Œhx}liAyEhi Câu 3. cDew¡umvAyEhiAe•DE²D•?h?glAmcAD•?h?glABlm†?l ∈ADˆ mvA #$D›|mvAƒqrDe %$D›|?AƒqrDe &$D›|?hiqrDe "$|–AkADa? yEhi Câu 4. Dbpesai•>ƒuyEhiAe•DEcc #$SƒDewˆADsD?Œhx}AEliA?pf %$Sƒ•AkADa?yEhiF~k?AE-h‰mnAD•?? &$SƒyEhiADsD?Œhx}AE-~D-A "$Sƒ•?hiyEhiF~k?Dx•AE-h‰mnAD•?? Câu 5. k?x}cE>ehpf'(DEq?—AyEhih?…eDEccDDDfDvl³ #$Dew¡ %$•>ƒ &$P?thi "$ƒhi| Câu 6. ,DaAq?gecE>ehpfch-wD?|?m…yEhih?…eDEculiAD’Ah?gl³ #$%D?h?jePzD’Ah?gl|mvAƒshk?z?Aƒshk? %$%D?h?A†?mnAoq?tD’Ah?gl|?Aƒshk?%D?jePD’Ah?gl|mvAƒs hk? &$%D?h?jePzD’Ah?gl|mvAƒsA?gez?Aƒshk? "$%D?h?A†?mnAoq?tzD’Ah?gl|mvAƒshk?z?Aƒshk? Câu 7. DbpeA€•?h-AEyEhih?…eDEcmvAƒmc?AƒuliAmvA #$JepqrmvAƒshk?z?AƒA?ŒAA?te %$†?mnAoq?tADˆmvAƒhkAshk?z?AƒA?ŒAA?te &$†?mnAoq?tmvAƒA?ŒAA?tez?Aƒshk? "$mcPh…eh- Trang - 6- Giáo trình luyện thi đại học môn lí Câu 8. %D?liAmvAyEhih?…eDŠADˆ #$‡A‰mvAƒmcm‡A‰?Aƒe_Dx†–D?…eDefghi %$‡A‰mvAƒe_Dx†–D?…eDefghizm‡A‰?Aƒe_Dx†m…mnAop qr &$‡A‰mvAƒmcm‡A‰?Aƒe_h«?D?…ewD?jemnAopqr "$‡A‰mvAƒmcm‡A‰?Aƒe_cm‡A‰Dr Câu 9. Dv<•AcEch-m…>sq?—AD?tumvAƒAEyEhih?…eDŠ #$vAƒumvAyEhih?…eDŠ?€ly•h…ewD?mvAh?AŸmnAopqrmnAoq?t %$vAƒumvAyEhih?…eDŠAªy•h…ewD?mvAh?AŸmnAoq?tm…mnAopqr &$vAƒumvAyEhih?…eDŠq?—AD?tAe•DŠ–A•>ƒ|m†??hiumvA "$vAƒumvAyEhih?…eDŠq?—AD?tDdx}qrDe>eDdwDE€ AD•??qrDe Câu 10. Dbha~asaiEyEhih?…eDEcADˆ?hizmvAƒmc?AƒcDdhk? x}q?—h«?AD‡EDcl>?DEFE>?AD‡EAmc #$|–q?thi %$–A•>ƒ &$|–Dew¡ "$%D_–~DyEhi Câu 11. ?mvAmcP–q‘Ah•eyEhih?…eDŠzDewˆyEhiumvAc zDewˆ yEhiumvAPc P P?—A =Vz U P ¯?wD?mvAADsD?Œhx}-$yEhiADˆmvA PADsD?Œhx}qED?teyEhi³ #$. %$: &$ L "$L Câu 12. iAmvAyEhih?…eDŠm†??hi<=E>@ωAB ϕCmcmvAƒyEhim= 0ω>?@ωABϕC #$'?hi>†l~Dπ>Em†?mvAƒ %$vAƒ>†l~DD‰?hi|π &$vAƒmyEhi–~Dm†??hi "$vAƒyEhiŒD~DπŽ.>Em†??yi Câu 13. EyEhih?…eDŠz?Aƒq?—h«? #$–~Dm†??hi %$'ŒD~DliA|π>Em†??hi &$S†l~DπŽ.>Em†??hi "$´~DπŽ.>Em†??hi Câu 14. EyEhih?…eDŠz?Aƒq?—h«? #$–~Dm†?mvAƒ %$ x} ~D m†? mvAƒ &$'ŒD~DπŽ.>Em†?mvAƒ "$´~DπŽ.>Em†?mvAƒ Câu 15. EyEhih?…eDŠumvAq?geAD`cE>ehpfcsai³ #$ - . l< . = + " " : 3 %$ - . l< . l< = + " " C. - . l< . l< = + " " D D "$ - . l< . = + : 3 Câu 16. iAmvAyEhih?…eDŠAD‡E~Dx‰AˆD<=E>@¥ABϕCb?mcmvAƒA` AD•?umvAEaDŒAD`?tDŒ>ezDŒAD`cEsai³ #$ - = + ω : " : 3 %$m . =±ω . @ . 0< . C &$ω= 3: " − "$= . . . ω " 3 + Câu 17. vAyEhim†?~Dx‰AˆD<=E>@ωABϕC%D?h|AƒhiAeqˆDumvA AE-Dewˆc #$= π l< ." %$= &$= "$= Câu 18. —eq?—Am l< mc l< •x}AcmvAƒshk?mc?Aƒshk?umvAyEhih?…e DŠADˆDewˆc Trang - 7- Giáo trình luyện thi đại học môn lí #$ l< l< " %$ l< l< " &$ l< l< . " π "$ l< l< . " π Câu 19. ?AƒAEyEhih?…eDŠ|q?geAD` #$=ω . < %$=0ω< . &$=0ω . < "$=ω . < . Câu 20. ?AƒAEyEhih?…eDŠ|hi†<ahnDq{? #$=ω . < . %$=0ω< . &$=0ω . < "$=ω . < . Câu 21. —eq?—Am l< mc l< •x}AcmvAƒshk?mc?Aƒshk?umvAyEhih?…e DŠADˆq?thic #$ l< . l< " %$ l< . l< " &$ . l< . l< " "$ l< l< " Câu 22. ‚ADnl_A€>s~DADei?d?Aƒmc?himc #$EkAD©h‚q?—jeƒAbhi %$EkAD©DnDq?—jeƒAbhi &$'cykDˆD>? "$k‡?~ Câu 23. ‚ADnl_A€>s~DADei?d?Aƒmc?hi<c #$EkAD©h‚q?—jeƒAbhi %$EkAD©DnDq?—jeƒAbhi &$'cykDˆD>? "$ |ykhx•AD©wD_jeƒAb hi Câu 24. ‚ADnl_A€>s~DADei?d?Aƒmcsw•Em…™c #$EkAD©h‚q?—jeƒAbhi %$x•AD©jeƒAbhi &$'cykDˆD>? "$k‡?~ Câu 25. fDb~DaAq?geh-³EyEhih?…eDEculiAmvA #$‚ADnq?gey?´?AƒAD‡E?hicliAhx•AD©wD_jeƒAbhi %$%D?mvADefghiAD‡ED?…eyx‰ADˆ?Aƒ?€l &$‚ADnq?gey?´?AƒAD‡E?hicliAhx•AD©jeƒAbhi "$‚ADnq?gey?´lƒ?jeDŒ?dmvAƒmc?AƒcliAhx•‡o~ Câu 26. iAD’Ah?glDefghiAD‡E~Dx‰AˆD>e<=E>ωABP Eh|zPzωc aDr>ƒ,DaAq?gecEh³ #$DefghiuD’Ah?glcliAyEhiAe•DEcmcmnAoq?t|Abhi<=P* mc<=PB %$DefghiuD’Ah?glcliAyEhiAe•DEcmcq?thicBP &$DefghiuD’Ah?glcliAyEhiAe•DEcmcmnAopqr|Abhi<=V "$DefghiuD’Ah?glcliAyEhiAe•DEcmcmnAopqr|Abhi<= PŽ Câu 27. iAD’Ah?glDefghiAD‡Ea~Dx‰AˆD>e<=E> . @ωABπŽ:Cˆl~DaA q?gecEh-³ #$DefghiuD’Ah?glcliAyEhiAe•DEcmcmnAopqr|Abhi<=V %$DefghiuD’Ah?glcliAyEhiAe•DEcmc~Dqh•ecπŽ. &$DefghiuD’Ah?glcliAyEhiAe•DEcmcmnAoq?t|Abhi<=0DEF <= "$DefghiuD’Ah?glcliAyEhiAe•DEcmcA•>ƒ|ω Câu 28. ,Dx‰AˆDyEhiumvA|yk<=>?ωABE>ωAP?thiyEhiumvA c #$Ž. %$ &$ "$ Câu 29. D’Ah?glyEhiAD‡E~Dx‰AˆD<=.E>@.µABπŽCB.>?@.µABπŽC f<a hnDq?thimc~Dqh•eπuD’Ah?glh| #$=:lzϕ=πŽ %$=Llzϕ=πŽ$ &$=:lzϕ=πŽ$ "$=-$lzϕ=πŽ. Câu 30. vAƒuliAmvAyEhih?…eDŠAD‡E~Dx‰AˆD<=>?@ωABϕCm†?~DπŽ Trang - 8- Giáo trình luyện thi đại học môn lí c.µ@lŽ>C•>ƒyEhicL”vAyEhim†?q?thi #$UVl %$.Ul &$ zUl "$UVl Câu 31. vAyEhih?…eDEc|Aƒhishk?c-Vπ@lŽ>CƒhiAeqˆDumvAAE -DewˆyEhic #$-VlŽ> %$.VlŽ> &$UπlŽ> "$UlŽ> Câu 32. vAyEhih?…eDEc%D?jemnAopqrmvA|Aƒhi-$π@lŽ>CzAk?q?t?Aƒ umvAc$:π . @lŽ> . CoDq?thimcDewˆyEhi #$=:lz=VzU> %$=Llz=-> &$=-$lz=.> "$=L~lz=.> Câu 33. iAmvAyEhih?…eDEc<=:>?@πABπŽ:Cl'-A=VzU>mvA|?himcmvAƒc #$<=0.l•m=:πlŽ> %$<=.l•m=.πlŽ> &$<=.l•m=0.πlŽ> "$<=0.l•m=0:πlŽ> Câu 34. iAmvAyEhih?…eDEc<=-VE>@.πABπŽ:Cl'-A=VzU>mvA #$DefghiDDy•AD‡ED?…eyx‰ %$DefghiDDy•AD‡ED?…epl &$DefghiDvly•AD‡ED?…eyx‰ "$DefghiDvly•AD‡ED?…epl Câu 35. iAmvAyEhih?…eDŠm†?q?thiUlzwD?mvA|?hi<=0lADˆ|mvAƒ :π@lŽ>C•>ƒyEhic #$U” %$.” &$Vz.” "$VzU” Câu 36. vAyEhih?…eDŠzq?thi-VlzA•>ƒ.”zwD?mvA|?hi<=0LlADˆmvAƒ yEhiAD‡ED?…eplc #$.:π@lŽ>C %$0.:π@lŽ>C &$±.:π@lŽ>C "$0 @lŽ>C Câu 37. k?AD•?h?glwD?mvAADsD?ŒyEhih?…eDŠ|mvAƒqr-Ž.mvAƒshk? ADˆmvA|?hiqrqED?te³ #$ %$ &$ "$ Câu 38. iAmvAyEhih?…eDŠwD?mvA|?hi< - =lADˆmvAƒumvAcm - =:VlŽ>z wD?mvAjemnAopqrADˆmvAƒumvAcm . =UVlŽ>•>ƒuyEhih?…eDŠc #$@”C %$@”C &$π@”C "$-V@”C Câu 39. iAmvAyEhih?…eDEcwD?mvA|?hi< - =lADˆmvAƒu|cm - =:VlŽ>z wD?mvAjemnAopqrmvA|mvAƒm . =UVl'?hiumvAwD?|mvAƒm =VlŽ> c #$:l %$±:l &$-$l "$.l Câu 40. iAD’Ah?glyEhih?…eDEck?AD•?h?glA - ?hiuD’Ah?glc< - =lmcm - =0$VlŽ>Ak?AD•?h?glA . |?hi< . =lmcm . =$VlŽ>P?thimcA•>ƒ|yEhi uD’Ah?gl•x}Aqr #$$l•.VyŽ> %$$l• yŽ> &$ l•.VyŽ> "$ l•-VyŽ> Câu 41. iAD’Ah?glyEhih?…eDŠk?AD•?h?glA - ?hiumvAc< - mcAƒhim - k? AD•?h?glA . |?hi< . mcAƒhim . P?—A< - ≠< . ¯?q?geAD`cE>ehpf|ADgy–<a hnDA•>ƒyEhi³ #$ . . . - . . . - . - 33 "" H − − = π %$ . . . - . - . . - 33 "" H − − = π &$ . . . - . - . . . - "" 33 H − − = π "$ . - . . . . . - . - "" 33 H − − = π Câu 42. iAmvAyEhih?…eDŠAthEkAD©yc?-VlmcADsD?Œhx}UVyEhi AEAD•??6LzU?pfˆlmvAƒmc?AƒumvAwD?h?jemnAo|?hi<=lAD‡E D?…eDx†m…mnAopqr #$m=0Vz-$lŽ>•=0:LlŽ> . %$m=Vz-$lŽ>•=0Vz:LlŽ> . &$m=0-$lŽ>•=0:LlŽ> . "$m=Vz-$lŽ>•=:LlŽ> . Câu 43. iAD’Ah?glyEhih?…eDŠAtA<%D?D’Ah?glh?jemnAopqrADˆ A|hiu|c.VlŽ>%D?D’Ah?gl|Aƒhi-VlŽ>ADˆ?Aƒu|qr:VlŽ> . P?thiyEhiuD’Ah?glc Trang - 9- Giáo trình luyện thi đại học môn lí #$:l %$Ul &$Ll "$-Vl Câu 44. ,Dx‰AˆDmvAƒuliAmvAyEhih?…eDEccm= VE>.VA@lŽ>Czm†?AhE qr?pfcEAD•?h?glA=Ž$@cDewˆyEhiCzmvA|?hic #$l %$0l &$l "$0l Câu 45. ?D’Ah?glyEhih?…eDŠ–~Dx‰z–A•>ƒz|~Dx‰AˆDyEhi •x}Ac< - = - E>@ωABϕ - C•< . = . E>@ωABϕ . CDEq?—A:<B<=-l . %D?D’Ah?gl AD`D’A|?hi< - =-lADˆAƒhiu|qr$lŽ>zwD?h|AƒhiuD’Ah?glAD`. qr #$LlŽ> %$GlŽ> &$-VlŽ> "$ lŽ> Câu 46. iAmvA|wDƒ?x}UVVyEhih?…eDŠyx†?AayuliAsw•Em…| q?geAD`™=0VzLE>:A@CEhiumvA|q?thic #$$l %$ l &$Ll "$-Vl Câu 47. 'sw•Em…AaytliAD’Ah?glyEhih?…eDŠ|hi† #$›Œm†?qˆD~Dx‰q?thi %$›Œm†?hi†u<mce_Dx†m…mnAopqr &$%D_h«?DxDx†ADfh«? "$cDx†wD_h«? Câu 48. SshEhxuD?—awD?|?|AD«?jec #$EhiA‘Ay• %$EhiyefAˆ &$Ehix®q` "$ E hi Ae• DEc Câu 49. EhiyefAˆcyEhiA‘Ay•lcx•?Ah #$%oDADoDk?yEhi>ewD?yEhiqnA‘AD© %$aymcEmvAEk?sq?—h«?h?…eDEcAD‡EAD•?? &$e’~DEmvAliAªx}h-qrªx}mvAl’Ah?>el¬?Dew¡ "$'cll’As€ul_?Ax•hƒ?m†?Defghih| Câu 50. EhiA‘Ay•cliAyEhi| #$‰ª?€ly•yEl>aA %$Dew¡?€ly•AD‡EAD•?? &$•>ƒAªy•AD‡EAD•?? "$P?thiwDEph«? Câu 51. ,DaAq?gecE>ehpfcsai³ #$Ehix®q`cyEhiyx†?AayuEk?sq?—h«?Ae•DEc %$P?thiyEhix®q`~DADeimcElƒ?jeDŒ?dA•>ƒusx®q`mc A•>ƒyEhi?tuDŒ &$SsiDx{ADgD?Œ¶•AD’AwD?sl>aAul_?Ax•Ec?cD¯ "$P?thiiDx{wD_~DADeimcEl>aA Câu 52. EDdyEhiA‘Ay•>ehpfzAx•D}~cE>sA‘Ay•DDc|}?³ #$Je€‘h‚D‚ %$%De<‡laf>ewD?jeD¬hx•v~ D…D &$E‘Š<EAE~DŠADoD?Œl "$D?—m¶ Câu 53. Dbha~asaiEhiA‘Ay•cyEhi #$|q?thimc‰ª?€ly• %$%D_|AoDh?…eDŠ &$|ADg|}?DEF|Dk? "$|AoDAe•DEc Câu 54. SsiDx{<€fAEyEhix®q`wD? #$ŒyEhim†?A•>ƒyEhi†D’A %$Ek?sAaytmvAq?—AD?tAe• DEc &$EhiwD_|l>aA "$•>ƒx®q`qrA•>ƒ?t Câu 55. ,DaAq?gecEyx†?hpfcsai³ #$EhiA‘Ay•cyEhi|q?thi?€ly•AD‡EAD•?? %$Ehix®q`|A•>ƒqrA•>ƒuEk?s Trang - 10- [...]... ghộp c tớnh bi: k = k1 + k2 Bi lm Ta cú: T = 2 k = ( 2 ) 2 m T2 ( 2 ) 2 m ( 2 ) 2 m k1 = v k2 = T22 T12 ( 2 ) 2 m ( 2 ) 2 m k1k 2 T22 ( 2 ) 2 m = T12 a) Khi 2 lũ xo ghộp ni tip: k = k + k ( 2 ) 2 m + ( 2 ) 2 m 1 2 T2 T12 T22 T2 = T +T hay T = T12 + T22 Tng t nu cú n lũ xo ghộp ni tip thỡ T = T12 + T22 + T32 + + Tn2 b) Khi 2 lũ xo ghộp song song: k = k1 + k2 ( 2 ) 2 m ( 2 ) 2 m ( 2 ) 2 m T 2... - 30- Giỏo trỡnh luyn thi i hc mụn lớ = 8cos(9t - /2) cm D x = 8cos9t cm Mt vt thc hin dao ng iu ho vi biờn A = 12 cm v chu k T = 1s Chn gc Cõu 197 thi gian l lỳc vt i qua VTCB theo chiu dng, phng trỡnh dao ng ca vt l: A x = -12sin2t (cm) B x = 12sin2t (cm) C x = 12sin(2t + ) (cm) D x = 12cos2t (cm) Mt vt dao ng iu ho khi i qua v trớ cõn bng theo chiu dng thi im ban Cõu 198 u Khi vt cú li 3cm thỡ... l: A 2025J B 0,9J C 900J D 2,025J Mt vt nng 200g treo vo lũ xo lm nú dón ra 2cm Trong quỏ trỡnh vt dao ng thỡ Cõu 150 chiu di ca lũ xo bin thiờn t 25cm n 35cm Ly g = 10m/s2 C nng ca vt l: A 125 0J B 0 ,125 J C 12, 5J D 125 J Mt vt nng gn vo lũ xo cú cng k = 20N/m dao ng vi biờn A = 5cm Khi Cõu 151 vt nng cỏch v trớ biờn 4cm cú ng nng l: Cõu 147 Trang - 25- Giỏo trỡnh luyn thi i hc mụn lớ A 0,024J B 0,0016J... 3/8 s B 1/24 s C 8/3 s D 1 /12 s Mt cht im dao ng dc theo trc Ox vi phng trỡnh x = 2cos(2t + ) cm Thi Cõu 212 gian ngn nht vt i t lỳc bt u dao ng n lỳc vt cú li x = cm l: A 2,4 s B 1,2 s C 5/6 s D 5 /12 s Mt vt dao ng iu hũa trong khong B n C vi chu k T, v trớ cõn bng l O Cõu 213 Trung im ca OB v OC theo th t l M v N Thi gian vt i theo mt chiu t M n N l: A T/4 B T/6 C T/3 D T /12 Mt vt dao ng iu ho vi... imM v N l 12 cm Ly 2 = 10 Vt dao ng vi tn s l: A 2,9 Hz B 2,5 Hz C 3,5 Hz D 1,7 Hz Vt m1 = 100g t trờn vt m2 = 300g v h vt c gn vo lũ xo cú cng k = Cõu 129 10N/m, dao ng iu ho theo phng ngang H s ma sỏt trt gia m 1 v m2 l à = 0,1, b qua ma sỏt gia m2 v mt sn, ly g = 2 = 10m/s2 m1 khụng trt trờn m2 trong quỏ trỡnh dao ng ca h thỡ biờn dao ng ln nht ca h l: A Amax = 8cm B Amax = 4cm C Amax = 12cm D Amax... cm C 8cm D 4 cm Mt lũ xo nh cú chiu di 50cm, khi treo vt vo lũ xo dón ra 10cm, kớch thớch cho vt Cõu 120 dao ng iu ho vi biờn 2cm Khi t s gia lc n hi cc i v lc kộo v bng 12 thỡ lũ xo cú chiu di: A 60cm B 58cm C 61cm D 62cm Mt vt treo vo lũ xo lm nú dón ra 4cm Bit lc n hi cc i ca lũ xo l 10N, Cõu 121 cng lũ xo l 100N/m Tỡm lc nộn cc i ca lũ xo: A 2N B 20N C 10N D 5N Trang - 19- Giỏo trỡnh luyn thi... 1Hz C 2Hz D 0,5Hz Mt lũ xo cú k = 10N/m treo thng ng treo vo lũ xo mt vt cú khi lng m = Cõu 125 250g T v trớ cõn bng nõng vt lờn mt on 50cm ri buụng nh Ly g = 2 = 10m/s2 Tỡm thi gian lũ xo b nộn trong mt chu kỡ A 0,5s B 1s C 1/3s D 3/4s Mt con lc lũ xo treo thng ng khi cõn bng lũ xo gión 3 (cm) B qua mi lc cn Cõu 126 Kớch thớch cho vt dao ng iu ho theo phng thng ng thỡ thy thi gian lũ xo b nộn trong mt... phng thng ng dc theo trc xuyờn tõm Cõu 127 ca lũ xo a vt t v trớ cõn bng n v trớ ca lũ xo khụng bin dng ri th nh cho vt dao ng iu ho vi chu kỡ T = 0,1 s, cho g = 10m/s2 Xỏc nh t s gia lc n hi ca lũ xo tỏc dng vo vt khi nú v trớ cõn bng v v trớ cỏch v trớ cõn bng 1cm A 5/3 B 1/2 C 5/7 D A v C ỳng Gi M, N, I l cỏc im trờn mt lũ xo nh, c treo thng ng im O c nh Cõu 128 Khi lũ xo cú chiu di t nhiờn thỡ... treo trờn trn mt toa xe la chuyn ng thng u Cõu 67 vi vn tc v Con lc b tỏc ng mi khi xe la qua im ni ca ng ray, bit khong cỏch gia 2 im ni u bng 12m Hi khi xe la cú vn tc l bao nhiờu thỡ biờn dao ng ca con lc l ln nht? (Cho g = 2 m/s2) A 8,5m/s B 4,25m/s C 12m/s D 6m/s CHU Kè CON LC LO XO CT GHẫP LO XO I Bi toỏn liờn quan chu kỡ dao ng: - Chu kỡ dao ng ca con lc lũ xo: T = = = = 2 - Vi con lc lũ xo... nh, b qua lc ma sỏt v lc cn Tỡm biờn dao ng ln nht ca m, m1 khụng ri khi lng m trong quỏ trỡnh dao ng (g = 10m/s2) A Amax = 8cm B Amax = 4cm C Amax = 12cm D Amax = 9cm Mt con lc lũ xo treo thng ng, u trờn c nh, u di treo mt vt m = 200g, lũ Cõu 132 Cõu 122 Trang - 20- Giỏo trỡnh luyn thi i hc mụn lớ xo cú cng k = 100N/m T v trớ cõn bng nõng vt lờn theo phng thng ng bng mt on mt lc khụng i F = 6N n v . ¯?wD?mvAADsD?Œhx}-$yEhiADˆmvA PADsD?Œhx}qED?teyEhi³ #$. %$: &$ L "$L Câu 12. iAmvAyEhih?…eDŠm†??hi<=E>@ωAB ϕCmcmvAƒyEhim= 0ω>?@ωABϕC #$'?hi>†l~Dπ>Em†?mvAƒ. +++= PN>3N5 'shcD‚?uDŒŠ<Ec™=™ - B™ . BB™ @-C iq?—yku€DŒc¸¹=¸¹ - =¸¹ . ==¸¹ @.C Trang - 12- Giáo trình luyện thi đại học môn lí @-C=œw¸¹=w - ¸¹ - Bw . ¸¹ . BBw ¸¹ Ÿ@.C>efw=w - Bw . BBw R3N53=/"S |w=w - Bw . †?Š<ED•~hƒ?<`w=w - Bw . BBw F>3‘AŠ<E|D?…eyc?AsD?t¹ V @hi`w V C ADcDD?Š<E|D?…eyc?•x}A¹ - @hi`w - Cmc¹ . @hi `w . C†?w V = V > TU Eh|]>e’AMEe@Žl . C•SA?—Ay?Œ@l . C . 111. iAE‘Š<E‚lmvAwDƒ?x}l=.VVA‡EmcEŠ<E|hi`w=:VŽl vAyEhiAD‡E~Dx‰AD©h`AtjeÂhkEyc?-VlzDbD?…eyx‰Dx† <eƒDEq?—AD?…eyc?AsD?tc:Vl%D?mvAyEhiADˆD?…eyc?Š<Eq?—AD?t AEwDE€cE³'’f=-VlŽ> . #$:Vl*UVl %$:Ul*UVl &$:Ul*UUl "$Gl*:Gl Câu 112. iAŠ<E|w=-VVŽlA‡EAD©h`A‡EmcEŠ<EliAmvA|wDƒ?x}l= .VVŸmnAopqrpmvAtliAhEkUl‚?qe_D¾'’f=-VlŽ> . D?…e yx‰Dx†<eƒ?aAnshk?us~DD‚?mcshcD‚?c #$™ D~l< =U•™ hDl< =6