Home Explore TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

Published by Nesibe Aydın Eğitim Kurumları, 2019-08-28 01:12:03

Description: TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

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www.aydinyayinlari.com.tr /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 2. MODÜL 11. SINIF ÖRNEK 6 ÖRNEK 8 %ÐõFZ EÐ[MFNEF jK, j- WF jM I[MBSZMB ZBUBZ PMBSBL 4ÐSUÐONFMFSJOJINBMFEJMEJóJCJSPSUBNEB0OPLUBTOEBO 2j0I[ZMBZBUBZEPóSVMUVEBBUMBONLÐUMFMJDJTJNLBSõ- BUMBO, - .DJTJNMFSJõFLJMEFLJZËSÐOHFMFSJJ[MJZPSMBS TOEBLJEÐõFZEVWBSO-OPLUBTOB¿BSQZPS jL L yatay %ÐõFZ 2j0 K K jK yatay yatay h L jM yatay M M N P yer R x yer #VOBHÌSF j, jLWFjMI[MBSBSBTOEBLJCÑZÑLMÑL $JTJNBZOOPLUBEBOZBUBZEPôSVMUVEBjI[ZMBBU- JMJöLJTJOFEJS (Sürtünme yok.) MSTBEVWBSOIBOHJOPLUBTOBÀBSQBS /PLUBMBSBSBTV[BLMLMBSFõJUUJS Y= jU=BUöV[BLMô DJTJNMFSJÀJOFöJU h= 1 2 =BUöZÑLTFLMJôJ 12 Y= 2jUBUöV[BLMôES h = 2 gt BUöZÑLTFLMJôJPMVQ 2 g.t DJTNJO-OPLUBTOBEÑöUÑôÑWFSJMJZPS $JTNJOI[jPMVSTBBZOV[BLMôUTÑSFEFBMS IL >I, >IMPMEVôVOEBOZFSFEÑöNFTÑSFMFSJBSBTOEB h' = 1 .g. (2t) 2 = 1 ·g.t2.4 PMVS UL >U, >UMTSBMBNBTPMVS\"ZOV[BLMôBEÑöNFMFSJJÀJO 22 jM > j, > jLPMBDBLUS$FWBQjM > j, > jL $JTJN,OPLUBTOEBOI'=IBöBôEBLJ1OPLUBTOBÀBS- ÖRNEK 7 QBDBLUS$FWBQ1OPLUBTOB )BWB EJSFODJOJO JINBM FEJMEJóJ CJS PSUBNEB EÐõFZ EÐ[- ÖRNEK 9 MFNEF I1 ZÐLTFLMJóJOEFLJ , OPLUBTOEBO j0 I[ZMB ZB- 4ÐSUÐONFMFSJO JINBM FEJMEJóJ PSUBNEB I ZÐLTFLMJóJOEFO UBZ PMBSBL BUMBO DJTJN Y V[BLMLUBLJ EÐõFZ EVWBSO - j0 =NTI[JMFZBUBZPMBSBLGSMBUMBODJTJNõFLJMEFLJ OPLUBTOB¿BSQZPS ZËSÐOHFZJJ[MFZFSFL.OPLUBTOEBZFSF¿BSQZPS NLH j0 %VWBS j0 NT yatay K 80 m 20 m t1 yatay h xK h1 L xL h2 t2 K x L M yer yer 4x x $JTNJOJ[MFEJôJZÌSÑOHFöFLJMEFLJHJCJPMEVôVOBHÌ- |,-| = |LM|PMEVôVOBHÌSF DJTNJOZBUBZEBBMEôZPM SF I1I2ZÑLTFLMJLMFSPSBOLBÀUS (g = 10 m/s2) YLBÀNEJS (g = 10 m/s2) 12 12 Y= j0UWFh = 2 gt WFCBôOUMBSOEBOGBZEBMBOS h = gt =\"UöZÑLTFLMJôJ t 1 2 Y= jU1 Y= jU2 t = 5 EJS $JTJNY,ZPMVOV=U2 jU, =TEF 2 YLZPMVOV=U2 jU2 =TEF DJTJN EÑöFZEF FöJU [BNBO BSBMLMBSOEB TSBTZMB I I ,-BSBMôOTEFBMNöUS h 25 25 ,-=-.PMEVôVOBHÌSF -.BSBMôOEBTEFBMS 1 5PQMBNIBSFLFUTÑSFTJU=TPMBDBôOEBO I I IöFLMJOEFZPMBMS = $FWBQ Y= jUjY==N$FWBQN h9 9 2 6. jM > j, > jL 25 8. 1OPLUBTOB 9.N 7. 9

11. SINIF 2. MODÜL /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 www.aydinyayilari.com.tr 7ANnM%m/*m $JTNJO NBLTJNVN ZÑLTFLMJôF ÀLö UÀLö WF IBWBEBLBMNBTÑSFTJ UVÀVö &ôJL\"Uö tç ›k› ﬂ = j0y & tç ›k› ﬂ = j0 . sin i g g 7PMFZCPMNB¿OEB ôVU¿FLFOGVUCPMDVOVO tuçuﬂ = 2.j0 . sin i TFSWJTBUõIBSFLFUJ WVSEVóVUPQVOIBSFLFUJ g )BWB EJSFODJOJO ËOFNTJ[ PMEVóV CJS PSUBNEB $JTNJOZBUBZEBBMEôZPM NFO[JM YNFO[JM , OPLUBTOEBO ZBUBZ JMF i B¿T ZBQBDBL õFLJM- EFBUMBOCJSDJTJNIBSFLFUJFôJLBUöIBSFLFUJEJS xNFO[JM = jxUV¿Võ 2j0 sin i g &óJLBUõIBSFLFUJCJMFõJLCJSIBSFLFUUJS = j0 DPTi B :BUBZEB Y–FLTFOJOEF DJTJNTBCJUI[M EÐ[HÐO j 2 . 2 sin i. cos i EPóSVTBM IBSFLFU ZBQBS $JTNJO ZBUBZEB BMEó 0 ZPMBNFO[JM YNFO[JM EFOJS =g [sin2i = 2siniDPTi] C %ÐõFZEF Z–FLTFOJOEF DJTJNBõBóEBOZVLBSZB j 2 . sin 2i EÐõFZBUõIBSFLFUJZBQBS$JTNJOFOGB[MB¿LB- 0 CJMEJóJZÐLTFLMJóFNBLTJNVNZÑLTFLMJLEFOJS xmenzil = g )BWB EJSFODJOJO ËOFNTJ[ PMEVóV CJS PSUBNEB 0 OPLUBTOEBOZBUBZMBiB¿TJMFFóJLBUMBODJTJN ÖRNEK 10 J¿JO )BWBEJSFODJOJOËOFNTJ[PMEVóVCJSPSUBNEB,OPLUBTO- EBZBUBZMBa =MJLB¿JMFõFLJMEFLJHJCJFóJLPMBSBLBU- +y j0y2 jy = 0, i = 0 MBOCJSDJTJN-OPLUBTOBEÐõÐZPS jL j0x yatay iL MiM j0x j0x j0y1 jK L –j0y2 jM j0y = 30 m/s j0 iK N j0x L K jx iN K a j0x = 40 m/s yatay j0y j0 hmax xNFO[JM –j0y1 jN i j0x +x j =NTPMEVôVOBHÌSF O i B $JTNJOIBWBEBLBMNBTÑSFTJLBÀTEJS j0x C $JTNJONFO[JMJLBÀNEJS H= 10 m/s2TJO= DPT= 0,8) xNFO[JM B jY =DPTj jY =NT –j0y j0 jZ =TJOjjZ =NT $JTNJOZBUBZWFEÑöFZI[CJMFöFOMFSJ j 0y 2.30 j0x = j0DPTi j0Z = j0TJOi t =2 g (t = ucus ucus 10 $JTNJO ZBUBZ I[ j 0x IBSFLFU TÐSFTJODF TBCJU LBMS- UVÀVö =T LFO EÐõFZEFLJI[j0ZDJTJNNBLTJNVNZÐLTFLMJóF C YNFO[JM = jYUVÀVö VMBõODBZBLBEBSEÐ[HÐOPMBSBLB[BMSWFNBLsimum YNFO[JM = YNFO[JM=N ZÐLTFLMJLUF TGS PMVS $JTJN NBLTJNVN ZÐLTFLMJLUFO $FWBQB TC N TPOSBZBUBZBUõIBSFLFUJZBQBS . B TC N

www.aydinyayinlari.com.tr /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 2. MODÜL 11. SINIF %m/*m %m/*m %ÑöFZEFDJTNJOÀLBCJMFDFôJNBLTJNVNZÑL- )FSIBOHJCJSBOEB U DJTNJOZFSEFOZÑLTFL- TFLMJôJI[-[BNBOHSBGJôJOEFOZBSBSMBOBSBL MJôJOJ I[ - [BNBO HSBGJôJOEFO ZBSBSMBOBSBL CVMBCJMJSJ[ CVMVOVS )[ j) j0y . tç )[ j) IjPZUm 1 HU2EJS j0y joy 2 Imax = 2 1 HU2 2 hmax ;BNBO U joy – g.t IjPTJOiUm 0 t¿Lõ h j0 . sin i j0 . sin i j02 . sin2 i 0 t ;BNBO U 2 g 2g Imax = . j hmax = ÖRNEK 12 ÖRNEK 11 )BWBEJSFODJOJOËOFNTJ[PMEVóVCJSPSUBNEBNLÐUMFMJCJS DJTJN,OPLUBTOEBOZBUBZMBa =MJLB¿JMFõFLJMEFLJ )BWBEJSFODJOJOËOFNTJ[PMEVóVCJSPSUBNEB,OPLUBTO- HJCJFóJLPMBSBLBUMZPS EBZBUBZMBa =MJLB¿JMFõFLJMEFLJHJCJFóJLPMBSBLBU- MBOCJSNLÐUMFMJDJTJN-OPLUBTOBEÐõÐZPS j0y = 60 m/s yatay j0 m a = 60° j0y = 40 m/s hmax j0 = 40 3 m/s PMEVôVOB HÌSF DJTJN BUMELUBO T TPOSBZFSEFOZÑLTFLJôJLBÀNEJS j0 m a j0x = 30 m/s L H= 10 m/s2sin 60° = 3 1 yatay , cos 60° = K xNFO[JM ) 22 j=NTPMEVôVOBHÌSF DJTNJONBLTJNVNZÑL- 3 TFLMJôJOJO INBY NFO[JMJOF YNFO[JM PSBOLBÀUS jZ = jTJOj jZ = 40 3 . 2 j jZ =NTU=T (g = 10 m/s2TJO= DPT= 0,6) I= jZ- 1 HU2 jI=- 1 2 j I=N 2 2 $FWBQN jY = jDPTj jY = j jY =NT jZ = jTJOj jZ = j jZ =NT .qk(7$k, j oy 40 $JTJNZBUBZJMFi =MJLB¿JMFFóJLPMBSBLBU- UÀLö = g jUÀLö = 10 jUÀLö =T MSTBDJTNJONFO[JMJ Ymen NBLTJNVNPMVS UVÀVö =UÀLö jUVÀVö = 2.4 jUVÀVö=T j 2 . sin 2.45° 0 xmen = [sin90 = 1] g YNFO[JM = jYUVÀVöjYNFO[JM = j 2 0 YNFO[JM =N x= .FO[JMJONBLTJNVNEFóFSJ g men INBYJÀJO jPZ -U HSBGJôJÀJ[FSTFL $JTNJONBLTJNVNZÑLTFLMJôJJÀJO j0y NT 2 j 2 2 2 Imax = 0 i = 45° ise sin45° = . 40 1 2g 4 40.4 $FWBQ hmax = 2 = 80 m j 2 3 0 U T Imax = 4g PMVS 4 0 PIBMEF iJLFOj xmenzil = 4hmax PMVS 1 12.N 11. 3

11. SINIF 2. MODÜL /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 www.aydinyayilari.com.tr ÖRNEK 13 .qk(7$k, )BWBEJSFODJOJOËOFNTJ[PMEVóVCJSPSUBNEB,OPLUBTO- &óJL BUõ IBSFLFUJOEF BUõ BOOEBLJ ZBUBZ I[ EBOZBUBZJMFaB¿TZBQBDBLCJ¿JNEFFóJLBUMBOCJSDJ- TJNõFLJMEFLJZËSÐHOFZJJ[MFZFSFL-OPLUBTOBEÐõÐZPS j0x WFEÐõFZI[ jZ EFóFSMFSJOFCBLMBSBL BUõIBSFLFUJOJOZBLMBõLIBOHJB¿JMFZBQMEó ZPSVNMBOBCJMJS j0 hmax )[ )[ )[ Ka xNFO[JM j0x j0x j0x L t t t yatay j0y j0y j0y a a < 45° a > 45° Cismin ilk hızı j0, çıkabildiği maksimum yükseklik hmax, menzili ise xmen olduğuna göre, ÖRNEK 14 * aJTFDJTNJONFO[JMJNBLTJNVNPMVS 4ÐSUÐONFOJO ËOFNTJ[ PMEVóV PSUBNEB j0 I[ZMB FóJL PMBSBLBUMBONLÐUMFMJDJTNJOJ[MFEJóJZPMõFLJMEFLJHJCJEJS ** a < 90PMBDBLõFLJMEFBSUSMSTBIBWBEBLBMNBTÐSFTJBS- UBS *** a = 45° ise xmenImaxES ZBSHMBSOEBOIBOHJMFSJEPôSVEVS j0y j0 m 45°j0x 2 hmax j . sin 2a Xmen 0 x= EFOa =JTFNFO[JMNBLTJNVNPMVS g men *EPôSV aBÀTBSUBSTBjZ = jTJOaEFOEÑöFZI[BSUBDBôOEBO $JTNJOBUöV[BLMô 9NFO WFBUöZÑLTFLMJôJ INBY DJTNJOIBWBEBLBMNBTÑSFTJBSUBS **EPôSV BSBTOEBLJPSBO9NFOINBYLBÀUS j2 j2 00 a =JTF x = ; h = PMEVôVOEBO )[ g max 4g j0x men t 2t YNFO =INBYES ***EPôSV $FWBQ* **WF*** Alan = x x = j· 2t X Zaman men =4 h max %m/*m j0y $FWBQ )BSFLFUMJOJOZBUBZEÑ[MFNEFLJHSBGJLMFSJ j ·t 2 Alan = hmax = )[ j ,POVN Y öWNF B jx x .qk(7$k, 0 t 0 t 0 t Zaman j0 ôFLJMEFLJ HJCJ FõJU CÐ- Zaman Zaman a ZÐLMÐLUFLJ I[MBSMB a WF i B¿MBS JMF FóJL )BSFLFUMJOJOEÑöFZEÑ[MFNEFLJHSBüLMFSJ j0 x1 BUMBO DJTJNMFS J¿JO i a + i = 90° ise men- )[ j ,POVN I x2 [JMMFSJ FõJU CÐZÐLMÐLUF jy x1 = x2 PMVS hmax tç 2tç hmax –hmax Zaman 0 –jy 0 tç tu Zaman öWNF B 75° 60° 0 tç tu Zaman h mH 45° 30° 15° XNFO[JM * **WF*** 14. 4

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TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

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TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

Description: TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

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