Aula USO DO SOFTWARE MODELLUS NO ENSINO DE FÍSICA: 5 VELOCIDADE MÉDIA E MOVIMENTO UNIFORME META Fazer com que o aluno repense a importância do uso de experiências simples em sala de aula. Que ele perceba que a matemática é uma ferramenta poderosa na descrição e construção de modelos físicos. Introduzir um software de ensino denominado Modellus e mostrar como ele pode ser usado em um curso de Física. Que ele aprenda a usar o software Modellus para fazer as suas próprias animações. OBJETIVOS Mostrar como se pode ensinar/ilustrar a cinemática usando experiências simples ou usando novas tecnologias. Introduzir o uso do software Modellus para se fazer animações/modelagens de experiências de física. %@$")*+"%"+$%,(1 compreendido, através de uma brincadeira com um carrinho de plástico à pilha (ou com fricção), que por meio de medidas físicas, no caso da distância linear, podemos fazer uma descrição matemática do movimento de um objeto material. mostrar que o computador pode ser muito útil na modelagem de fenômenos físicos, mas que o computador não faz o modelo sozinho. É o aluno/professor quem o programa. PRÉ-REQUISITOS Os alunos deveram ter cursado Psicologia da Educação, Física A e B. .IKREIAJPKQJEBKNIAq?=N=?PANEV=@KLKNPANKIuRAHOAILNA?KIRAHK?E@=@A?KJOP=JPA KQOAF=JoKEILKNP==O?=QO=O@KIKREIAJPK?KIKOAEJE?EKQKQ?KIKPANIEJKQ=J=H EO=NAIKO=LAJ=OKPNA?DKKJ@A=RAHK?E@=@AJoKR=NE=?KIKPAILK ?EI=QI=EHQOPN=poK @A3=EJ=J1K?D=>NEJ?=J@K?KIKPAI= %KJPAODPPLSSSABAEPKFKQHA?KI Instrumentação para o Ensino de Física I "(&#)OM# -AOP==QH=R=IKOQO=NNA?QNOKO@A=JEI=poKCNm?=QO=J@K ++' /.A K .*!/2- @AAJOEJK * ''0.L=N=B=?EHEP=N=ATLKOEpoKA?KILNAAJOoKLKN L=NPA@KO=HQJKO@K?KJ?AEPK@ARAHK?E@=@AIq@E=?KIKP=T=@AR=NE=poK @KAOL=pKAIBQJpoK@KPAILK-AOP==QH=R=IKO@AO?NARANK,14QO =J@KNALNAOAJP=poKLKNP=>AH=@AET=J@KL=N=LNuTEI==QH==EJPNK@QpoK @KOCNm?KOJ=?EJAImPE?=5=IKOLNKLKNQI=>NEJ?=@AEN=?KI?=NNEJDK IKRE@KkLEHD=KQBNE?poKL=N=B=VANIKOQI=ATLANErJ?E=@A,14KJ@A LK@ANAIKOEHQOPN=NK=L=NA?EIAJPK@AI=N?KOAIA@E@=O@AAOL=pKAPAILK "KIKAIPK@=O=O=QH=OR=IKOB=VANQI>NARANAOQIK@=PAKNE=QO=@=J= =QH=A@K=NPECKMQAOANm=J=HEO=@K .O=HQJKOB=VAIIQEP=?KJBQOoK?KI=@AJEpoK@AAOL=pKLAN?KNNE@K ALKOEpoKJKAOL=pK=OOEI?KIK=@ARAHK?E@=@AIq@E=5=IKOIKOPN=N MQA?KIATLANEIAJPKOOEILHAOA=JEI=pwAOCNm?=OAOOAO?KJ?AEPKOLK@AI OANAJPAJ@E@KOI=EOB=?EHIAJPAOAPKNJ=J@KEJPQEPERKO OOEIkIA@E@=MQA BKNIKOEJPNK@QVEJ@KKO?KJ?AEPKOR=IKOEHQOPN=J@K?KIKLK@AIKOQO=N =PERE@=@AOHz@E?=OEHQOPN=PER=O -KNQOD@=P=N@AAI2oK/=QHKKIKPKNEOP=HAR=DL=N=B=VANKOGI@=,=NCEJ=H@K3EAPr KQOAF=GIDMQ=J@KLK@ANE=OAN?KILHAP=@KAIIEJQPKO?=OKKPNnJOEPKAOPERAOOAQEJ@K JKNI=HIAJPAJKHEIEPA@AGID %KJPAODPPLCCHK>K?KI 96 Uso do Software Modellus no Ensino de Física - Velocidade... 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Velocidade... eEILKNP=JPALAN?A>ANMQAATEOPAI@KEOAOL=pKO?KIR=HKNAOJQIqNE?KO ECQ=EOEJ@E?=J@KIAOI=O@EOPnJ?E=O=Pq=KNECAI@KOAOL=pKO@EBANAJ?E=@KO =LAJ=OLAHKOEJ=H /KNATAILHK2GIOECJE?=MQAK?KNLKAIAOPQ@KAOP=Nm= MQEHvIAPNKO=JPAO@=KNECAI@KOAOL=pKOAIQI@APANIEJ=@KEJOP=JPA .I=N?KMQEHKIqPNE?K@AQI=AOPN=@=KJzIANK@=NAOE@rJ?E=KJ@A RK?rIKN=KJzIANK@K=J@=N@AQI=L=NP=IAJPKOoKATAILHKOMQALK @AIOAN?=N=?PANEV=@KO?KIKR=HKNAO@A AOL=pK Aula 5 !$#&("( 6@0<34H05`A820e4A>0]=f<\=^0;4A;02=8A0?C4 e38AB[<280>4@2=@@830>4:=2=@>=f '\=2=8A0A;C8B=3854@4<B4A "D=I=NAIKO @A @AOHK?=IAJPK AO?=H=N KQ R=NE=poK @A AOL=pK = @EBANAJp=AJPNAKAOL=pKJ=HAKAOL=pKEJE?E=HMQAK?KNNAQ@QN=JPAQI EJPANR=HK@APAILK /KN ATAILHK 0Q=H K @AOHK?=IAJPK AO?=H=N @K =QPKIuRAH AJPNA KO EJOP=JPAOOAO?KJOE@AN=J@K=P=>AH=2P=JPANEKN -=%sOE?=QPEHEV=NAIKO 2?KIKOsI>KHKL=N=NALNAOAJP=NK @AO HK?=IAJPKAO?=H=NKQR=NE=poK@AAOL=pKMQAK?KNNAQAIQI EJPANR=HK @APAILKMQ=HMQANAOAQ?mH?QHKOANm@=@KLAH=ATLNAOOoK 22J=H2EJE?E=H OOEILK@ANAIKOAO?NARANMQA 2EJE?E=HGI2J=H GIA2 GIGI GIKQOAF=K@AOHK?=IAJPKAO?=H=NqECQ=H= GI -KPAMQAOA@QN=JPAAOOAEJPANR=HK@APAILKK?KNLKJoKEJRANPAQ KOAJPE@K@AOAQIKREIAJPKA=OOEILK@AIKO=NI=NMQA=@EOPnJ?E= ABAPER=IAJPALAN?KNNE@=BKE@AI 107 Instrumentação para o Ensino de Física I !$#&("( '4<\==2=@@4@;C30<]0<=A4<B83=3=;=D8;4<B=3= 2=@>==;b3C:=3=34A:=20;4<B=4A20:0@@4>@4A4<B0038A B[<280454B8D0;4<B4>4@2=@@830>4:=2=@>= 1AOQIEJ@K .@AOHK?=IAJPKAO?=H=NNALNAOAJP==IA@E@=@=@EOPnJ?E=AJPNA=LKOEpoK EJE?E=HA=LKOEpoKJ=HIA@E@=OK>NA=PN=FAPuNE= $HALK@ANmOANLKOEPERKJAC=PERKKQJQHK@ALAJ@AJ@K@=LKOEpoKEJE?E=H AJ=H@K?KNLKAIAOPQ@K HQ@KPA?=5K?rLK@APKI=NKNAHuCEKAK?=NNEJDKARANE?=NK@AOHK ?=IAJPKMQAAHABAVAIKQOACQJ@KO (*' /NAAJ?D==OH=?QJ=O?KI"?ANP=OA=O=NI=pwAOAOPERANAI?KNNAP=O "=OK?KJPNmNEKNAAO?NAR==BN=OA@ABKNI=?KNNAP= =2 IOECJE?=MQA=@EOPnJ?E=@=KNECAI=Pq=LKOEpoK@K?KNLK IA@E@KOOK>NA=PN=FAPuNE=q@A@KEOIAPNKO >2 GIOECJE?=MQA=L=NPs?QH=LAN?KNNAQMQEHvIAPNKO ?2GIOECJE?=MQA=@EOPnJ?E=@=KNECAI=Pq=LKOEpoK@K?KNLK IA@E@KOOK>NA=PN=FAPuNE=q@AGI * #' &!Q E@AE=@AIKREIAJPKOA=OOK?E=@AEIA@E=PK?KI=E@qE=@ARAHK?E@=@A 0Q=J@K=HCQqIJKO@EVMQAQI=QPKIuRAH=LNAOAJP=QI=RAHK?E@=@A@A GIDLK@AIKOEI=CEJ=NMQAOAAOOA=QPKIuRAHI=JPqIAOO=RAHK?E@=@A @QN=JPADKN=PANmLAN?KNNE@KGI2A?KJPEJQ=NIKOAOOAN=?EK?sJEK LK@AIKOEI=CEJ=NMQAOAAOOA=QPKIuRAHI=JPANAOO=RAHK?E@=@A@QN=JPA DKN=OLAN?KNNANmGI "KIAOO=E@AE=AOP=IKONAH=?EKJ=J@K@Q=OIA@E@=OEILKNP=JPAO@= "EJAImPE?=L=N=K?KJ?AEPK@=RAHK?E@=@AAO?=H=NIq@E= #AOHK?=IAJPKAO?=H=NKQR=NE=poK@KAOL=pK@AJE@K?KIK=@EBANAJp= AJPNAKAOL=pKEJE?E=H2(A=AOL=pKJ=H2%@AQIIuRAH 22J=H2EJE?E=H 108 Uso do Software Modellus no Ensino de Física - Velocidade... (JPANR=HK@APAILK@AJE@K?KIK=@QN=poK@AQIARAJPKEOPKq= @EBANAJp=AJPNAKEJOP=JPAJ=HAKEJOP=JPAEJE?E=H Aula 5 PPJ=HPEJE?E=H 5AF=IKOQIKQPNKATAILHK (I=CEJAIKO=CKN=MQARK?rR=EREOEP=N=MQAH=PE=MQAIKN=AIQI OsPEK=GI@=OQ=?=O=5K?rR=E@A?=NNKAO=E@=OQ=?=O=AT=P=IAJPAkO D?DAC=J@K=KOsPEKkOD RAHK?E@=@AAO?=H=NIq@E=BKE@AGID .?mH?QHKBKEBAEPK@=OACQEJPABKNI= %ECQN=$MQ=pwAO@A5I %KJPA,EJD=CQN= .>OANRAMQAKR=HKNGIDJoKqJA?AOO=NE=IAJPA=RAHK?E@=@A@A OAJRKHRE@=@QN=JPA=RE=CAI.?=NNKLK@APANPE@KQI=RAHK?E@=@AI=EKN KQIAJKNAI=HCQI=L=NPA@AOOAPN=FAPK$OPAR=HKNNALNAOAJP==RAHK?E@=@A MQA@ARANE=OANI=JPE@=?KJOP=JPA@QN=JPAPK@==RE=CAIL=N=MQAKOGI BKOOAILAN?KNNE@KOAID -KPAMQAAOP=IKOQPEHEV=J@K 5I?KIKOsI>KHK@=RAHK?E@=@AAO ?=H=NIq@E= 5AF=IKOKQPNKATAILHK 4I?KNLKOA@AOHK?=OK>NAQI=PN=FAPuNE=MQ=HMQANARANE?=IKOMQA JKEJOP=JPAPOAHAOAAJ?KJPN=J=LKOEpoK2I$IQIKQPNK EJOP=JPAPOOQ=JKR=LKOEpoKq2I %ECQN=!KH=O@A>KHETAO=VQEO %KJPA,EJD=CQN= 109 Instrumentação para o Ensino de Física I /=N=@APANIEJ=IKOOQ=RAHK?E@=@AAO?=H=NIq@E=B=NAIKOKO?mH?QHKO =OACQEN %ECQN=$MQ=pwAO@A5I%KJPA,EJD=CQN= ,=EOQI=RAV?D=I=IKO==PAJpoKL=N=KOECJE?=@K@KR=HKNK>PE@K .>OANRAMQAAHAOuOANE=NA=HOAKIuRAHOA@AOHK?=OOA?KIQI=RAHK?E@=@A AO?=H=N?KJOP=JPAKMQAJoKqK>NEC=PKNE=IAJPARAN@=@AENK !$#&("( D4:=2830344A20:0@;^380>=34@ZA4@>=A8B8D0<460B8D0=C <C:034>4<34<3=3=;=D8;4<B=@40:8H03= -K2EOPAI=(JPANJ=?EKJ=H@AQJE@=@AO=QJE@=@A@ARAHK?E@=@AAO?=H=N Iq@E=qKIAPNKLKNOACQJ@K -KPAMQA=QJE@=@A@ARAHK?E@=@Aq=N=VoKAJPNA=OQJE@=@AO@A?KI LNEIAJPKA@APAILK#AOO=BKNI=KQPN=OQJE@=@AOOoKP=I>qIQO=@=O ?KIKLKNATAILHKKMQEHvIAPNKLKNDKN= !$#&("( 110 Uso do Software Modellus no Ensino de Física - Velocidade... 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