Mayara Rodrigues relatório A5 turma ED

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Física Experimental 1 IF-UFF
Relatório A5
Nome: 
NOTA:
O objetivo desta prática é obter o período da oscilação (T) de um pêndulo simples utilizando o software Tracker via a análise por vídeo.
1. Montagem experimental
Teoricamente espera-se que, num regime de pequenas amplitudes de oscilações, o período do pêndulo pode ser dado por . Na aula de hoje iremos novamente estudar esta relação teórica e verificá-la experimentalmente. Monte o seu aparato experimental conforme realizado no relatório 3. Você deverá escolher um dado comprimento de fio para realizar esta nova montagem experimental. Garanta, da melhor forma possível, que as medidas sejam realizadas em um mesmo ângulo inicial (menor que 15°). Utilize seu celular (ou qualquer outro dispositivo de captura) para filmar a oscilação do pêndulo. Certifique-se de haver algum elemento de calibração na sua filmagem, isto é, alguma coisa que você conheça o comprimento de maneira efetiva (pode ser uma régua com a escala visível, por exemplo). Preferivelmente, realize a medida onde haja alguma linha ou marcação vertical que possa ser captada pela câmera. 
Iremos utilizar o software tracker para realizar as análises requisitadas, entretanto, iniciaremos realizando medidas com seus instrumentos analógicos (IMPORTANTE: o comprimento ℓ denota o comprimento do ponto de oscilação ao qual o fio está preso até o centro do objeto que está oscilando).
Tabela 1. Informações preliminares da montagem
	Dados
	Instrumento de medida
	Valor
	
	Valor Incerteza
	Unidade
	Comprimento ℓ
	Régua
	40
	 ± 
	0,01
	cm
	Ângulo Ө
	Transferidor
	10
	 ± 
	0,01
	graus
	Massa m (se possuir balança)
	Weigth Scale Estimator (app)
	0,042
	 ± 
	0,001
	kg
2. Software Tracker
Agora que sua pré-montagem está concluída, podemos iniciar a análise com o software Tracker e realizar a análise do pêndulo. Inicialmente, utilize as ferramentas do programa e determine o ângulo inicial de medida, assim como o comprimento total(ℓ) de oscilação. Em seguida, realize uma medida com, ao menos, 5 oscilações do seu pêndulo. 
Q1. Obtenha ℓ e θ com o Tracker. Coloque uma foto (print screen) nesse relatório com a determinação destes valores. Estes resultados são, considerando-se as incertezas, compatíveis com aqueles obtidos na Tabela 1?
Levando em conta que podem haver erros de dimensões e escala nos instrumentos de medição, da incerteza do observador e do próprio software, tanto o comprimento quanto o ângulo não são compatíveis.
Em relação ao comprimento, foi achado 0,44m – como é possível observar a figura abaixo- sendo que o calculado manualmente resultou-se em 0,400m.
Para obter o comprimento foi realizado a distância entre os pontos x e y no excel. Obtendo a média do comprimento juntamente com o desvio padrão resultou-se em 0,44m ± 0,001. A partir desses resultados, pode-se afirmar que o comprimento não é compatível com aquele obtido na tabela 1.
Abaixo segue PrintScreen de uma parte dos dados de x e y e a forma como o comprimento foi calculado:
Já o ângulo, através do Tracker foi encontrado como 10,4°, mas manualmente mediu-se como 10°. Tanto o ângulo quanto o comprimento, mesmo com as incertezas, não são compatíveis.
Q2. Determine a origem do seu sistema de medidas. Anexe uma foto (print screen) mostrando a origem escolhida. 
A origem do sistema de medidas está fixado onde o nó do barbante que sustenta o pêndulo está localizado.
Q3. Utilizando o Tracker, obtenha o período de 5 oscilações dos seu pêndulo (todas obtidas em uma mesma medida). Preencha a Tabela 2 com os valores obtidos. 
Tabela 2. Valores dos Períodos de Oscilação
	Oscilação
	T (s)
	1
	1,335
	2
	1,368
	3
	1,368
	4
	1,368
	5
	1,368
Q4. Você acredita que os valores obtidos em Q3 são livres de incertezas? Cite possíveis fontes de incerteza nessas medições. Dentro de um intervalo de 3% (coloque os valores da incerteza na Tabela 3) verifique se os 5 períodos da questão anterior são todos compatíveis entre si.
Não. As possíveis fontes de incerteza nessas medições seriam a do tempo de reação do observador, o software e as incertezas de cada medida realizada pelo observador, o que influencia diretamente no programa, já que para o programa funcionar depende de algumas medições do observador – como por exemplo na fita de calibragem.
Dentro do intervalo de 3%, todos os períodos calculados na tabela 2 são compatíveis entre si, já que a incerteza se resultaria, nesse caso, em 0,04.
Tabela 3. Valores dos Períodos com as incertezas
	Oscilação
	T (s)
	
	Incerteza em T(s)
	1
	1,335
	 ± 
	0,04
	2
	1,368
	 ± 
	0,04
	3
	1,368
	 ± 
	0,04
	4
	1,368
	 ± 
	0,04
	5
	1,368
	 ± 
	0,04
Q5. Faça abaixo o gráfico de y x t da sua medição (indique no gráfico os pontos no qual um novo período se inicia).
Os pontos onde um novo período se inicia estão sinalizados com os rótulos de dados (1,335s; 2,703s; 4,071s; 5,439s; 6,807s).
Q6. Faça abaixo o gráfico de x x t da sua medição (indique no gráfico os pontos no qual um novo período se inicia).
Os pontos onde um novo período se inicia estão sinalizados com os rótulos de dados (1,335s; 2,703s; 4,071s; 5,439s; 6,807s).
Q7. Faça o gráfico das energias cinética, potencial e total em função do tempo (indique no gráfico os pontos no qual um novo período se inicia).
Os pontos no qual um novo período se inicia está marcado com as elipses pretas.
Q8. O que aconteceu com a energia total do sistema entre a primeira e última oscilação?
Sabendo-se que o pêndulo simples trata-se de um sistema conservativo de energia, é possível observar pelo gráfico que a variação de energia total em cada período aproxima-se de 0. Porém, há uma incerteza perceptível no experimento que a base do pêndulo –onde se localiza o nó- foi feita dando 2 voltas no barbante, o que certamente influencia na energia do sistema. 
k x T
0	3.3366666670000003E-2	6.6733333330000005E-2	0.10009999999999999	0.13346666669999999	0.1668333333	0.20019999999999999	0.23356666670000001	0.26693333330000002	0.30030000000000001	0.3336666667	0.36703333329999999	0.40039999999999998	0.43376666670000003	0.46713333330000001	0.50049999999999994	0.53386666670000005	0.56723333330000003	0.60060000000000002	0.63396666670000001	0.6673333333	0.70069999999999999	0.73406666669999998	0.76743333329999996	0.80079999999999996	0.83416666669999995	0.86753333330000004	0.90090000000000003	0.93426666670000003	0.96763333330000001	1.0009999999999999	1.034366667	1.0677333330000001	1.1011	1.1344666670000001	1.1678333329999999	1.2012	1.234566667	1.267933333	1.3012999999999999	1.334666667	1.3680333330000001	1.4014	1.4347666670000001	1.4681333329999999	1.5015000000000001	1.534866667	1.568233333	1.6015999999999999	1.634966667	1.6683333330000001	1.7017	1.7350	666669999999	1.7684333329999999	1.8018000000000001	1.835166667	1.868533333	1.9018999999999999	1.9352666670000001	1.9686333330000001	2.0019999999999998	2.0353666669999999	2.068733333	2.1021000000000001	2.1354666670000002	2.1688333329999998	2.2021999999999999	2.2355666670000001	2.2689333330000001	2.3022999999999998	2.3356666669999999	2.369033333	2.4024000000000001	2.4357666670000002	2.4691333329999998	2.5024999999999999	2.5358666670000001	2.5692333330000001	2.6025999999999998	2.6359666669999999	2.669333333	2.7027000000000001	2.7360666669999998	2.7694333329999998	2.8028	2.8361666670000001	2.8695333330000001	2.9028999999999998	2.9362666669999999	2.969633333	3.0030000000000001	3.0363666669999998	3.0697333329999998	3.1031	3.1364666670000001	3.1698333330000001	3.2031999999999998	3.236566667	3.269933333	3.3033000000000001	3.3366666669999998	3.3700333329999999	3.4034	3.4367666670000001	3.4701333330000002	3.5034999999999998	3.536866667	3.570233333	3.6036000000000001	3.6369666669999998	3.6703333329999999	3.7037	3.7370666670000001	3.770	4333330000002	3.8037999999999998	3.837166667	3.870533333	3.9039000000000001	3.9372666669999998	3.9706333329999999	4.0039999999999996	4.0373666669999997	4.0707333329999997	4.1040999999999999	4.137466667	4.170833333	4.2042000000000002	4.2375666670000003	4.2709333330000003	4.3042999999999996	4.33766666699999974.3710333329999997	4.4043999999999999	4.437766667	4.471133333	4.5045000000000002	4.5378666670000003	4.5712333330000003	4.6045999999999996	4.6379666669999997	4.6713333329999998	4.7046999999999999	4.738066667	4.7714333330000001	4.8048000000000002	4.8381666670000003	4.8715333330000004	4.9048999999999996	4.9382666669999997	4.9716333329999998	5.0049999999999999	5.038366667	5.0717333330000001	5.1051000000000002	5.1384666670000003	5.1718333330000004	5.2051999999999996	5.2385666669999997	5.2719333329999998	5.3052999999999999	5.338666667	5.3720333330000001	5.4054000000000002	5.4387666670000003	5.4721333330000004	5.5054999999999996	5.5388666669999997	5.5722333329999998	5.6055999999999999	5.638966667	5.6	723333330000001	5.7057000000000002	5.7390666670000003	5.7724333330000004	5.8057999999999996	5.8391666669999998	5.8725333329999998	5.9058999999999999	5.9392666670000001	5.9726333330000001	6.0060000000000002	6.0393666670000004	6.0727333330000004	6.1060999999999996	6.1394666669999998	6.1728333329999998	6.2061999999999999	6.2395666670000001	6.2729333330000001	6.3063000000000002	6.3396666670000004	6.3730333330000004	6.4063999999999997	6.4397666669999998	6.4731333329999998	6.5065	6.5398666670000001	6.5732333330000001	6.6066000000000003	6.6399666670000004	6.6733333330000004	6.7066999999999997	6.7400666669999998	6.7734333329999998	6.8068	0	1.9107075829999999E-4	6.7683745779999996E-4	1.1191299420000001E-3	1.4169094780000001E-3	2.0878647019999998E-3	2.7179535469999999E-3	3.2081752999999998E-3	3.537195193E-3	3.6111950649999999E-3	3.5989176530000001E-3	3.5300547240000001E-3	3.2311445679999999E-3	2.7483365939999999E-3	2.35737221E-3	1.6579535639999999E-3	1.3389234930000001E-3	1.0391362869999999E-3	4.0335374920000001E-4	6.7400084850000004E-5	1.208519736E-5	2.5010382990000001E-4	5.3171968000000004E-4	9.4765542320000005E-4	1.561489951E-3	1.9975264730000002E-3	2.39945163E-3	2.685785211E-3	3.2247021209999998E-3	3.5889954089999999E-3	3.4291193990000001E-3	3.3080835409999999E-3	2.9980090410000001E-3	2.457923411E-3	1.871168557E-3	1.48325581E-3	1.1754233860000001E-3	7.505309466E-4	3.5864495870000001E-4	1.2368714040000001E-4	1.150160341E-5	2.4392367560000001E-5	1.760914919E-4	4.7896363829999999E-4	8.5661230850000005E-4	1.3329421679999999E-3	1.880513309E-3	2.4308690359999999E-3	2.8030918970000001E-3	3.0746717379999998E-3	3.4727808989999998E-3	3.485251212E-3	3.1908039919999998E-3	2.9747198040000001E-3	2.2273233279999998E-3	1.7683632439999999E	-3	1.210881235E-3	7.1931723579999999E-4	7.7286851269999998E-4	3.6748516520000002E-4	2.214240482E-5	1.7001303659999999E-5	1.753959244E-4	4.4113101120000001E-4	8.4572929320000001E-4	1.371404673E-3	1.671385765E-3	2.30948434E-3	2.6927963499999998E-3	2.9647215100000002E-3	3.291538024E-3	3.1928230519999998E-3	3.2291079860000001E-3	3.1246469189999998E-3	2.7014990620000002E-3	2.2423521329999999E-3	1.8928668809999999E-3	1.215224214E-3	7.728117388E-4	4.421864952E-4	1.4624302509999999E-4	1.177711003E-5	5.1942106340000003E-5	2.4605777410000002E-4	6.3471259030000002E-4	1.0764429779999999E-3	1.601302907E-3	2.1741530210000002E-3	2.5036241239999998E-3	2.9282188830000002E-3	3.306207923E-3	3.4173618890000002E-3	3.2418813259999998E-3	3.1032502210000001E-3	2.8748675490000001E-3	2.1695913570000001E-3	1.6485665710000001E-3	1.318970828E-3	8.057923665E-4	3.7183184920000002E-4	1.210960393E-4	1.1479228840000001E-5	3.2359080450000001E-5	1.629031059E-4	4.1000147779999998E-4	8.4257654179999998E-4	1.338021594E-3	1.798796	513E-3	2.1594995819999999E-3	2.5710825169999998E-3	2.8618885579999999E-3	3.0965363970000001E-3	3.1537567750000001E-3	2.9545662980000002E-3	2.8352963969999999E-3	2.5542714229999999E-3	2.1034159999999999E-3	1.807815571E-3	1.2598643719999999E-3	7.3952194270000002E-4	3.6688352579999998E-4	7.5854344670000002E-5	7.1254763450000003E-8	7.4984615509999996E-5	3.0514052749999997E-4	7.0022111949999996E-4	1.1463345519999999E-3	1.6489800619999999E-3	2.151289809E-3	2.5804511040000001E-3	2.9603983359999999E-3	3.1677558360000001E-3	3.2795260890000001E-3	3.2814866059999999E-3	3.0321510949999999E-3	0	1.9825498339999998E-3	1.480341285E-3	1.0650202599999999E-3	6.7502199109999996E-4	3.2892988260000002E-4	9.0741507499999996E-5	1.325202353E-6	3.3674535349999997E-5	1.636872979E-4	4.460751988E-4	8.7720683839999998E-4	1.3258599959999999E-3	1.7681527349999999E-3	2.091350677E-3	2.288914431E-3	2.5912655270000002E-3	2.84396417	40000002E-3	2.982931607E-3	2.7984755659999998E-3	2.6187946990000001E-3	2.2964212670000001E-3	1.705557682E-3	1.4723712679999999E-3	1.09387163E-3	6.3179399569999995E-4	3.1304325679999998E-4	8.9906280790000005E-5	1.3072316700000001E-6	7.7175177380000003E-5	3.835588056E-4	8.1315808169999998E-4	1.230500456E-3	1.784652984E-3	2.268222082E-3	2.6271808669999998E-3	2.9179720990000001E-3	3.0318848970000002E-3	3.1331728109999998E-3	2.991276491E-3	2.6566131790000001E-3	2.307568067E-3	1.9175526899999999E-3	1.391074421E-3	9.3226294060000001E-4	5.6726443139999997E-4	2.4727883120000002E-4	6.4294858309999996E-5	2.3575038850000001E-7	4.0174983309999999E-5	1.9580205499999999E-4	5.0063319670000004E-4	8.429801213E-4	1.256194212E-3	1.6242147569999999E-3	1.9806922649999999E-3	2.3801912370000002E-3	2.6416113369999998E-3	2.769777583E-3	2.7685251980000001E-3	2.5841657379999999E-3	2.38549	61870000001E-3	2.2581666529999998E-3	1.7493776909999999E-3	1.253568826E-3	8.5637124710000005E-4	5.2694422789999998E-4	2.5262606150000002E-4	3.764439177E-5	0	T (S)
K (J)
U x T
0	3.3366666670000003E-2	6.6733333330000005E-2	0.10009999999999999	0.13346666669999999	0.1668333333	0.20019999999999999	0.23356666670000001	0.26693333330000002	0.30030000000000001	0.3336666667	0.36703333329999999	0.40039999999999998	0.43376666670000003	0.46713333330000001	0.50049999999999994	0.53386666670000005	0.56723333330000003	0.60060000000000002	0.63396666670000001	0.6673333333	0.70069999999999999	0.73406666669999998	0.76743333329999996	0.80079999999999996	0.83416666669999995	0.86753333330000004	0.90090000000000003	0.93426666670000003	0.96763333330000001	1.0009999999999999	1.034366667	1.0677333330000001	1.1011	1.1344666670000001	1.167	8333329999999	1.2012	1.234566667	1.267933333	1.3012999999999999	1.334666667	1.3680333330000001	1.4014	1.4347666670000001	1.4681333329999999	1.5015000000000001	1.534866667	1.568233333	1.6015999999999999	1.634966667	1.6683333330000001	1.7017	1.7350666669999999	1.7684333329999999	1.8018000000000001	1.835166667	1.868533333	1.9018999999999999	1.9352666670000001	1.9686333330000001	2.0019999999999998	2.0353666669999999	2.068733333	2.1021000000000001	2.1354666670000002	2.1688333329999998	2.2021999999999999	2.2355666670000001	2.2689333330000001	2.3022999999999998	2.3356666669999999	2.369033333	2.4024000000000001	2.4357666670000002	2.4691333329999998	2.5024999999999999	2.5358666670000001	2.569233333000000	1	2.6025999999999998	2.6359666669999999	2.669333333	2.7027000000000001	2.7360666669999998	2.7694333329999998	2.8028	2.8361666670000001	2.8695333330000001	2.9028999999999998	2.9362666669999999	2.969633333	3.0030000000000001	3.0363666669999998	3.0697333329999998	3.1031	3.1364666670000001	3.1698333330000001	3.203	1999999999998	3.236566667	3.269933333	3.3033000000000001	3.3366666669999998	3.3700333329999999	3.4034	3.4367666670000001	3.4701333330000002	3.5034999999999998	3.536866667	3.570233333	3.6036000000000001	3.6369666669999998	3.6703333329999999	3.7037	3.7370666670000001	3.7704333330000002	3.8037999999999998	3.837166667	3.870533333	3.9039000000000001	3.9372666669999998	3.9706333329999999	4.0039999999999996	4.0373666669999997	4.0707333329999997	4.1040999999999999	4.137466667	4.170833333	4.2042000000000002	4.2375666670000003	4.2709333330000003	4.3042999999999996	4.3376666669999997	4.3710333329999997	4.4043999999999999	4.437766667	4.471133333	4.5045000000000002	4.5378666670000003	4.5712333330000003	4.6045999999999996	4.6379666669999997	4.6713333329999998	4.7046999999999999	4.738066667	4.7714333330000001	4.8048000000000002	4.8381666670000003	4.8715333330000004	4.9048999999999996	4.9382666669999997	4.9716333329999998	5.0049999999999999	5.038366667	5.07173333300000015.1051000000000002	5.1384666670000003	5.1718333330000004	5.2051999999999996	5.2385666669999997	5.2719333329999998	5.3052999999999999	5.338666667	5.3720333330000001	5.4054000000000002	5.4387666670000003	5.4721333330000004	5.5054999999999996	5.5388666669999997	5.5722333329999998	5.6055999999999999	5.638966667	5.6723333330000001	5.7057000000000002	5.7390666670000003	5.7724333330000004	5.8057999999999996	5.8391666669999998	5.8725333329999998	5.9058999999999999	5.9392666670000001	5.9726333330000001	6.0060000000000002	6.0393666670000004	6.0727333330000004	6.1060999999999996	6.1394666669999998	6.1728333329999998	6.2061999999999999	6.2395666670000001	6.2729333330000001	6.3063000000000002	6.3396666670000004	6.3730333330000004	6.4063999999999997	6.4397666669999998	6.4731333329999998	6.5065	6.5398666670000001	6.5732333330000001	6.6066000000000003	6.6399666670000004	6.6733333330000004	6.7066999999999997	6.7400666669999998	6.7734333329999998	-0.1769085792	-0.17695597229999999	-0.17734379950000001	-0.1780288199	-0.17860982	019999999	-0.17904543540000001	-0.1796160305	-0.18005782670000001	-0.18050050600000001	-0.18062564179999999	-0.18070672800000001	-0.18046236099999999	-0.18011757270000001	-0.17972353830000001	-0.17916181880000001	-0.17859644790000001	-0.17805462699999999	-0.17788602449999999	-0.1776299345	-0.17732591389999999	-0.1773839244	-0.1774944956	-0.17758554009999999	-0.17839399510000001	-0.17890525730000001	-0.17946658909999999	-0.17997607299999999	-0.1804447243	-0.18092070469999999	-0.18107962729999999	-0.1811950601	-0.18107326579999999	-0.18083088350000001	-0.18040537540000001	-0.18020568379999999	-0.17998668749999999	-0.1794292878	-0.17883599859999999	-0.17832565789999999	-0.178064372	-0.1778247624	-0.17775582070000001	-0.17789246689999999	-0.17813230390000001	-0.17860	766140000001	-0.1791475884	-0.179632452	-0.18006194580000001	-0.1804798309	-0.18078397430000001	-0.1808791595	-0.18094057599999999	-0.1806768218	-0.18036888209999999	-0.17989956130000001	-0.18035959939999999	-0.179975964	90000001	-0.17920275969999999	-0.17889831959999999	-0.17903990380000001	-0.17897095169999999	-0.1789531244	-0.1791229295	-0.1793718671	-0.17981349699999999	-0.18023035549999999	-0.180787581	-0.1812954326	-0.18168635490000001	-0.18210639040000001	-0.18225827289999999	-0.1823708496	-0.18226851890000001	-0.1820133471	-0.18159791480000001	-0.1811628964	-0.18057959260000001	-0.18002170619999999	-0.1796719675	-0.17921030139999999	-0.1789388931	-0.17876063419999999	-0.1787517823	-0.1789323286	-0.1792610993	-0.17974030639999999	-0.1801361746	-0.18067492560000001	-0.18110873220000001	-0.18151622479999999	-0.1818114955	-0.18199460610000001	-0.18198003469999999	-0.18186313209999999	-0.18155637050000001	-0.18120917719999999	-0.18071276759999999	-0.18037678779999999	-0.18006975980000001	-0.17977501530000001	-0.17953437899999999	-0.1795270209	-0.17954694539999999	-0.17971657520000001	-0.1799718847	-0.18038549039999999	-0.1808272427	-0.18121405039999999	-0.18161214079999999	-0.18202220829999999	-0.18223860750000001	-0.18233956230000001	-0.18227242939999999	-0.18202557659999999	-0.18173407129999999	-0.18133677340000001	-0.1809086969	-0.18049523149999999	-0.17998008870000001	-0.17959396950000001	-0.17911356910000001	-0.1788716987	-0.17879342479999999	-0.1788240871	-0.17895528660000001	-0.17922508039999999	-0.17970118609999999	-0.1802746848	-0.1808181395	-0.18130290499999999	-0.18171803049999999	-0.18201469840000001	-0.18213719370000001	-0.18218260219999999	-0.18202301539999999	-0.18174211800000001	-0.181399693	-0.18100987800000001	-0.1806794004	-0.1803903496	-0.180121948	-0.17998439299999999	-0.1798841363	-0.1799618224	-0.18013339819999999	-0.18036193619999999	-0.18069942759999999	-0.18109269929999999	-0.1815017434	-0.1818691026	-0.18203152850000001	-0.18230665130000001	-0.1824295054	-0.182329355	-0.18212593169999999	-0.18185352569999999	-0.1812672803	-0.18067253280000001	-0.180108565	-0.17944814210000001	-0.17910198599999999	-0.17882674840000001	-0.1787562442	-0.17872424849999999	-0.178	76752570000001	-0.17899454370000001	-0.1793031387	-0.1797936903	-0.1802054786	-0.1807431243	-0.18116633579999999	-0.18156413709999999	-0.18184009709999999	-0.1819450095	-0.1819955835	-0.18185964860000001	-0.18157187550000001	-0.18124043140000001	-0.18084458919999999	-0.18052145729999999	-0.18024655210000001	-0.18006598739999999	-0.17993510800000001	-0.17985496519999999	-0.17992316289999999	-0.1801009371	-0.18036036699999999	-0.180649377	-0.18093484000000001	-0.18130922930000001	-0.1816100665	-0.18190330539999999	-0.18208262350000001	-0.1820693337	-0.1819869995	-0.1817671132	-0.1815112804	-0.18110178909999999	-0.1805235945	-0.180118836	-0.17968724250000001	-0.17930493259999999	-0.1789034283	-0.17861831219999999	t (s)
U (J)
Energia total x T
0	3.3366666670000003E-2	6.6733333330000005E-2	0.10009999999999999	0.13346666669999999	0.1668333333	0.20019999999999999	0.23356666670000001	0.26693333330000002	0.30030000000000001	0.3336666667	0.36703333329999999	0.40039999999999998	0.43376666670000003	0.46713333330000001	0.50049999999999994	0.53386666670000005	0.56723333330000003	0.60060000000000002	0.63396666670000001	0.6673333333	0.70069999999999999	0.73406666669999998	0.76743333329999996	0.80079999999999996	0.83416666669999995	0.86753333330000004	0.90090000000000003	0.93426666670000003	0.96763333330000001	1.0009999999999999	1.034366667	1.0677333330000001	1.1011	1.1344666670000001	1.1678333329999999	1.2012	1.234566667	1.267933333	1.3012999999999999	1.334666667	1.3680333330000001	1.4014	1.4347666670000001	1.4681333329999999	1.5015000000000001	1.53486666	7	1.568233333	1.6015999999999999	1.634966667	1.6683333330000001	1.7017	1.7350666669999999	1.7684333329999999	1.8018000000000001	1.835166667	1.868533333	1.9018999999999999	1.9352666670000001	1.9686333330000001	2.0019999999999998	2.0353666669999999	2.068733333	2.1021000000000001	2.1354666670000002	2.1688333329999998	2.2021999999999999	2.2355666670000001	2.2689333330000001	2.3022999999999998	2.3356666669999999	2.369033333	2.4024000000000001	2.4357666670000002	2.4691333329999998	2.5024999999999999	2.5358666670000001	2.5692333330000001	2.6025999999999998	2.6359666669999999	2.669333333	2.7027000000000001	2.7360666669999998	2.7694333329999998	2.8028	2.8361666670000001	2.8695333330000001	2.9028999999999998	2.9362666669999999	2.969633333	3.0030000000000001	3.0363666669999998	3.0697333329999998	3.1031	3.1364666670000001	3.1698333330000001	3.2031999999999998	3.236566667	3.269933333	3.3033000000000001	3.3366666669999998	3.3700333329999999	3.4034	3.4367666670000001	3.4701333330000002	3.5034999999999998	3.5	36866667	3.570233333	3.6036000000000001	3.6369666669999998	3.6703333329999999	3.7037	3.7370666670000001	3.7704333330000002	3.8037999999999998	3.837166667	3.870533333	3.9039000000000001	3.9372666669999998	3.9706333329999999	4.0039999999999996	4.0373666669999997	4.0707333329999997	4.1040999999999999	4.137466667	4.170833333	4.2042000000000002	4.2375666670000003	4.2709333330000003	4.3042999999999996	4.3376666669999997	4.3710333329999997	4.4043999999999999	4.437766667	4.471133333	4.5045000000000002	4.5378666670000003	4.5712333330000003	4.6045999999999996	4.6379666669999997	4.6713333329999998	4.7046999999999999	4.738066667	4.7714333330000001	4.8048000000000002	4.8381666670000003	4.8715333330000004	4.9048999999999996	4.9382666669999997	4.9716333329999998	5.0049999999999999	5.038366667	5.0717333330000001	5.1051000000000002	5.1384666670000003	5.1718333330000004	5.2051999999999996	5.2385666669999997	5.2719333329999998	5.3052999999999999	5.338666667	5.3720333330000001	5.4054000000000002	5.4387666670000003	5.4721333330000004	5.5054999999999996	5.5388666669999997	5.5722333329999998	5.6055999999999999	5.638966667	5.6723333330000001	5.7057000000000002	5.7390666670000003	5.7724333330000004	5.8057999999999996	5.8391666669999998	5.8725333329999998	5.9058999999999999	5.9392666670000001	5.9726333330000001	6.0060000000000002	6.0393666670000004	6.0727333330000004	6.1060999999999996	6.1394666669999998	6.1728333329999998	6.2061999999999999	6.23956666700000016.2729333330000001	6.3063000000000002	6.3396666670000004	6.3730333330000004	6.4063999999999997	6.4397666669999998	6.4731333329999998	6.5065	6.5398666670000001	6.5732333330000001	6.6066000000000003	6.6399666670000004	6.6733333330000004	6.7066999999999997	6.7400666669999998	6.7734333329999998	6.8068	-0.1769085792	-0.17676490154169999	-0.1766669620422	-0.17690968995799999	-0.177192910722	-0.176957570698	-0.176898076953	-0.1768496514	-0.17696331080700001	-0.17701444	6735	-0.17710781034700002	-0.17693230627599998	-0.17688642813200001	-0.17697520170600001	-0.17680444659	-0.17693849433600001	-0.176715703507	-0.17684688821299999	-0.1772265807508	-0.17725851381514998	-0.17737183920263999	-0.17724439177009998	-0.17705382042000001	-0.17744633967680001	-0.17734376734900001	-0.17746906262699999	-0.17757662136999999	-0.17775893908900001	-0.17769600257899998	-0.17749063189099998	-0.17776594070099999	-0.17776518225899998	-0.17783287445900001	-0.177947451989	-0.17833451524299998	-0.17850343168999999	-0.17825386441400001	-0.1780854676534	-0.17796701294129999	-0.17794068485959999	-0.17781326079658999	-0.17773142833244002	-0.17771637540809998	-0.17765334026170002	-0.1777510490915	-0.177814646232	-0.17775193869100001	-0.177631076764	-0.17767673900299999	-0.17770930256200002	-0.177406378601	-0.177455324788	-0.177486017808	-0.177394162296	-0.17767223797200002	-0.178591	23615599998	-0.17876508366500002	-0.1784834424642	-0.17812545108729999	-0.17867241863480002	-0.17894880929517998	-0.17893612309633999	-0.1789475335756	-0.1789307360888	-0.17896776770679998	-0.17885895082699999	-0.179116195235	-0.17898594826	-0.17899355855000001	-0.17914166889000002	-0.17896673487599998	-0.179178026548	-0.179039410914	-0.178888700181	-0.178896415738	-0.17892054426699999	-0.17868672571900002	-0.17880648198599999	-0.1788991557612	-0.17876811490479999	-0.1787926500749	-0.17874885708996999	-0.17869984019366	-0.1786862708259	-0.17862638670969999	-0.178663863422	-0.178534871693	-0.17850077257900002	-0.17860510807600002	-0.178588005917	-0.17850528757700002	-0.17857724421100002	-0.17873815337399998	-0.17875988187899999	-0.17868150295100002	-0.1790395	8584299998	-0.179064201029	-0.17905781697199999	-0.17926396743350001	-0.1794031834508	-0.17941328296	07	-0.17951554167115999	-0.17951458631955	-0.1795536720941	-0.17956188322220001	-0.17954291385819998	-0.17948922110599999	-0.179415253887	-0.17945264121799998	-0.17945112578299999	-0.17937671894200002	-0.17924302590300001	-0.179118672625	-0.17907101030199998	-0.17889877490299999	-0.17878250197700002	-0.1788052809	-0.178687415929	-0.178720224328	-0.17885444755730001	-0.17874668557420001	-0.17879584435533	-0.17879335354523654	-0.17874910248449	-0.17865014607250002	-0.17852485928049999	-0.17855485154799999	-0.17862570473799999	-0.178666849691	-0.178722453896	-0.17875763216399998	-0.17884694256399999	-0.178857667611	-0.17890111559399999	-0.178990864305	-0.18174211800000001	-0.17941714316599999	-0.17952953671500002	-0.17961438014	-0.17971532760889999	-0.17979301811740001	-0.1798936514925	-0.17988281109764701	-0.17992814786465	-0.17996971090209998	-0.17991586	100119999	-0.17982222076159998	-0.179766839304	-0.179733590665	-0.179777751923	-0.17974261406900002	-0.179715385773	-0.17958554122599998	-0.179346423393	-0.179327456134	-0.17923473100099999	-0.178970859033	-0.178966975118	-0.17863619373199999	-0.17835427047000002	-0.1784701920043	-0.1785137051432	-0.17866633791920999	-0.17872294126832999	-0.17869035052262	-0.1786109848944	-0.17848998061830001	-0.17856318984399999	-0.17842082561600001	-0.178474902218	-0.17853915493299999	-0.178646165001	-0.178808212203	-0.178811836689	-0.179004307009	-0.179203035421	-0.17926430743300001	-0.17932287871000002	-0.17945351477899998	-0.17958919435939999	-0.1796792876686	-0.1798187085688	-0.17987081314169001	-0.17985472944961151	-0.17988298791669	-0.179905135045	-0.1798597338033	-0.17980639687870001	-0.17967864578800002	-0.17968501454300001	-0.179629374235	-0.17952311416299999	-0.17944101	216300001	-0.17929955611699999	-0.179218474302	-0.179182947462	-0.17912578421299999	-0.178843622447	-0.17877421680899999	-0.178865267174	-0.17883087125290001	-0.17877798837209999	-0.17865080223849999	-0.17858066780822998	-0.17860677059999999	0	3.3366666670000003E-2	6.6733333330000005E-2	0.10009999999999999	0.13346666669999999	0.1668333333	0.20019999999999999	0.23356666670000001	0.26693333330000002	0.30030000000000001	0.3336666667	0.36703333329999999	0.40039999999999998	0.43376666670000003	0.46713333330000001	0.50049999999999994	0.53386666670000005	0.56723333330000003	0.60060000000000002	0.63396666670000001	0.6673333333	0.70069999999999999	0.73406666669999998	0.76743333329999996	0.80079999999999996	0.83416666669999995	0.86753333330000004	0.90090000000000003	0.93426666670000003	0.96763333330000001	1.0009999999999999	1.034366667	1.0677333330000001	1.1011	1.1344666670000001	1.1678333329999999	1.2012	1.234566667	1.267933333	1.3012999999999999	1.334666667	1.3680333330000001	1.4014	1.4347666670000001	1.4681333329999999	1.5015000000000001	1.534866667	1.568233333	1.6015999999999999	1.634966667	1.6683333330000001	1.7017	1.7350666669999999	1.7684333329999999	1.8018000000000001	1.835166667	1.868533333	1.9018999999999999	1.9352666670000001	1.9686333330000001	2.0019999999999998	2.0353666669999999	2.068733333	2.1021000000000001	2.1354666670000002	2.1688333329999998	2.2021999999999999	2.2355666670000001	2.2689333330000001	2.3022999999999998	2.3356666669	999999	2.369033333	2.4024000000000001	2.4357666670000002	2.4691333329999998	2.5024999999999999	2.5358666670000001	2.5692333330000001	2.6025999999999998	2.6359666669999999	2.669333333	2.7027000000000001	2.7360666669999998	2.7694333329999998	2.8028	2.8361666670000001	2.8695333330000001	2.9028999999999998	2.9362666669999999	2.969633333	3.0030000000000001	3.0363666669999998	3.0697333329999998	3.1031	3.1364666670000001	3.1698333330000001	3.2031999999999998	3.236566667	3.269933333	3.3033000000000001	3.3366666669999998	3.3700333329999999	3.4034	3.4367666670000001	3.4701333330000002	3.5034999999999998	3.536866667	3.570233333	3.6036000000000001	3.6369666669999998	3.6703333329999999	3.7037	3.	7370666670000001	3.7704333330000002	3.8037999999999998	3.837166667	3.870533333	3.9039000000000001	3.9372666669999998	3.9706333329999999	4.0039999999999996	4.0373666669999997	4.0707333329999997	4.1040999999999999	4.137466667	4.170833333	4.2042000000000002	4.2375666670000003	4.2709333330000003	4.3042999999999996	4.3376666669999997	4.3710333329999997	4.4043999999999999	4.437766667	4.471133333	4.5045000000000002	4.5378666670000003	4.5712333330000003	4.6045999999999996	4.6379666669999997	4.6713333329999998	4.7046999999999999	4.738066667	4.7714333330000001	4.8048000000000002	4.8381666670000003	4.8715333330000004	4.9048999999999996	4.9382666669999997	4.9716333329999998	5.0049999999999999	5.038366667	5.0717333330000001	5.1051000000000002	5.1384666670000003	5.1718333330000004	5.2051999999999996	5.2385666669999997	5.2719333329999998	5.3052999999999999	5.338666667	5.3720333330000001	5.4054000000000002	5.4387666670000003	5.4721333330000004	5.5054999999999996	5.5388666669999997	5.5722333329999998	5.6055999999999999	5.638966667	5.6723333330000001	5.7057000000000002	5.7390666670000003	5.7724333330000004	5.8057999999999996	5.8391666669999998	5.8725333329999998	5.9058999999999999	5.9392666670000001	5.9726333330000001	6.0060000000000002	6.0393666670000004	6.0727333330000004	6.1060999999999996	6.1394666669999998	6.1728333329999998	6.2061999999999999	6.2395666670000001	6.2729333330000001	6.3063000000000002	6.3396666670000004	6.3730333330000004	6.406399	9999999997	6.4397666669999998	6.4731333329999998	6.5065	6.5398666670000001	6.5732333330000001	6.6066000000000003	6.6399666670000004	6.6733333330000004	6.7066999999999997	6.7400666669999998	6.7734333329999998	6.8068	-0.1769085792	-0.17676490154169999	-0.1766669620422	-0.17690968995799999	-0.177192910722	-0.176957570698	-0.176898076953	-0.1768496514	-0.17696331080700001	-0.177014446735	-0.17710781034700002	-0.17693230627599998	-0.17688642813200001	-0.17697520170600001-0.17680444659	-0.17693849433600001	-0.176715703507	-0.17684688821299999	-0.1772265807508	-0.17725851381514998	-0.17737183920263999	-0.17724439177009998	-0.17705382042000001	-0.17744633967680001	-0.17734376734900001	-0.17746906262699999	-0.17757662136999999	-0.17775893908900001	-0.17769600257899998	-0.17749063189099998	-0.17776594070099999	-0.17776518225899998	-0.17783287445900001	-0.177947451989	-0.17833451524299998	-0.17850343168999999	-0.17825386441400001	-0.1780854676534	-0.17796701294129999	-0.17794068485959999	-0.17781326079658999	-0.17773142833244002	-0.17771637540809998	-0.17765334026170002	-0.1777510490915	-0.177814646232	-0.17775193869100001	-0.177631076764	-0.17767673900299999	-0.17770930256200002	-0.177406378601	-0.177455324788	-0.177486017808	-0.177394162296	-0.17767223797200002	-0.17859123615599998	-0.17876508366500002	-0.1784834424642	-0.17812545108729999	-0.17867241863480002	-0.17894880929517998	-0.17893612309633999	-0.1789475335756	-0.1789307360888	-0.17896776770679998	-0.17885895082699999	-0.179116195235	-0.17898594826	-0.17899355855000001	-0.17914166889000002	-0.17896673487599998	-0.179178026548	-0.179039410914	-0.178888700181	-0.178896415738	-0.17892054426699999	-0.17868672571900002	-0.17880648198599999	-0.1788991557612	-0.17876811490479999	-0.1787926500749	-0.17874885708996999	-0.17869984019366	-0.1786862708259	-0.17862638670969999	-0.178663863422	-0.178534871693	-0.17850077257900002	-0.17860510807600002	-0.178588005917	-0.17850528757700002	-0.17857724421100002	-0.17873815337399998	-0.17875988187899999	-0.17868150295100002	-0.17903958584299998	-0.179064201029	-0.17905781697199999	-0.17926396743350001	-0.1794031834508	-0.1794132829607	-0.17951554167115999	-0.17951458631955	-0.1795536720941	-0.17956188322220001	-0.17954291385819998	-0.17948922110599999	-0.179415253887	-0.17945264121799998	-0.17945112578299999	-0.17937671894200002	-0.17924302590300001	-0.179118672625	-0.17907101030199998	-0.17889877490299999	-0.17878250197700002	-0.1788052809	-0.178687415929	-0.178720224328	-0.17885444755730001	-0.17874668557420001	-0.17879584435533	-0.17879335354523654	-0.17874910248449	-0.17865014607250002	-0.17852485928049999	-0.17855485154799999	-0.17862570473799999	-0.178666849691	-0.178722453896	-0.17875763216399998	-0.17884694256399999	-0.178857667611	-0.17890111559399999	-0.178990864305	-0.18174211800000001	-0.17941714316599999	-0.17952953671500002	-0.17961438014	-0.17971532760889999	-0.17979301811740001	-0.1798936514925	-0.17988281109764701	-0.17992814786465	-0.17996971090209998	-0.17991586100119999	-0.17982222076159998	-0.179766839304	-0.179733590665	-0.179777751923	-0.17974261406900002	-0.179715385773	-0.17958554122599998	-0.179346423393	-0.179327456134	-0.17923473100099999	-0.178970859033	-0.178966975118	-0.17863619373199999	-0.17835427047000002	-0.1784701920043	-0.1785137051432	-0.17866633791920999	-0.17872294126832999	-0.17869035052262	-0.1786109848944	-0.17848998061830001	-0.17856318984399999	-0.17842082561600001	-0.178474902218	-0.17853915493299999	-0.178646165001	-0.178808212203	-0.178811836689	-0.179004307009	-0.179203035421	-0.17926430743300001	-0.17932287871000002	-0.17945351477899998	-0.17958919435939999	-0.1796792876686	-0.1798187085688	-0.17987081314169001	-0.17985472944961151	-0.17988298791669	-0.179905135045	-0.1798597338033	-0.17980639687870001	-0.17967864578800002	-0.17968501454300001	-0.179629374235	-0.17952311416299999	-0.17944101216300001	-0.17929955611699999	-0.179218474302	-0.179182947462	-0.17912578421299999	-0.178843622447	-0.17877421680899999	-0.178865267174	-0.17883087125290001	-0.17877798837209999	-0.17865080223849999	-0.17858066780822998	-0.17860677059999999	T (s)
energia total (J)
y	1,335 s
2,703 s
4,071s
5,439 s
6,807 s
0	3.3366666670000003E-2	6.6733333330000005E-2	0.10009999999999999	0.13346666669999999	0.1668333333	0.20019999999999999	0.23356666670000001	0.26693333330000002	0.30030000000000001	0.3336666667	0.36703333329999999	0.40039999999999998	0.43376666670000003	0.46713333330000001	0.50049999999999994	0.53386666670000005	0.56723333330000003	0.60060000000000002	0.63396666670000001	0.6673333333	0.70069999999999999	0.73406666669999998	0.76743333329999996	0.80079999999999996	0.83416666669999995	0.86753333330000004	0.90090000000000003	0.93426666670000003	0.96763333330000001	1.0009999999999999	1.034366667	1.0677333330000001	1.1011	1.1344666670000001	1.1678333329999999	1.2012	1.234566667	1.267933333	1.3012999999999999	1.334666667	1.3680333330000001	1.4014	1.4347666670000001	1.4681333329999999	1.5015000000000001	1.534866667	1.568233333	1.6	015999999999999	1.634966667	1.6683333330000001	1.7017	1.7350666669999999	1.7684333329999999	1.8018000000000001	1.835166667	1.868533333	1.9018999999999999	1.9352666670000001	1.9686333330000001	2.0019999999999998	2.0353666669999999	2.068733333	2.1021000000000001	2.1354666670000002	2.1688333329999998	2.2021999999999999	2.2355666670000001	2.2689333330000001	2.3022999999999998	2.3356666669999999	2.369033333	2.4024000000000001	2.4357666670000002	2.4691333329999998	2.5024999999999999	2.5358666670000001	2.5692333330000001	2.6025999999999998	2.6359666669999999	2.669333333	2.7027000000000001	2.7360666669999998	2.7694333329999998	2.8028	2.8361666670000001	2.8695333330000001	2.9028999999999998	2.9362666669999999	2.969633333	3.0030000000000001	3.0363666669999998	3.0697333329999998	3.1031	3.1364666670000001	3.1698333330000001	3.2031999999999998	3.236566667	3.269933333	3.3033000000000001	3.3366666669999998	3.3700333329999999	3.4034	3.4367666670000001	3.4701333330000002	3.5034999999999998	3.536866667	3.570233333	3.6036000000000001	3.636	9666669999998	3.6703333329999999	3.7037	3.7370666670000001	3.7704333330000002	3.8037999999999998	3.837166667	3.870533333	3.9039000000000001	3.9372666669999998	3.9706333329999999	4.0039999999999996	4.0373666669999997	4.0707333329999997	4.1040999999999999	4.137466667	4.170833333	4.2042000000000002	4.2375666670000003	4.2709333330000003	4.3042999999999996	4.3376666669999997	4.3710333329999997	4.4043999999999999	4.437766667	4.471133333	4.5045000000000002	4.5378666670000003	4.5712333330000003	4.6045999999999996	4.6379666669999997	4.6713333329999998	4.7046999999999999	4.738066667	4.7714333330000001	4.8048000000000002	4.8381666670000003	4.8715333330000004	4.9048999999999996	4.9382666669999997	4.9716333329999998	5.0049999999999999	5.038366667	5.0717333330000001	5.1051000000000002	5.1384666670000003	5.1718333330000004	5.2051999999999996	5.2385666669999997	5.2719333329999998	5.3052999999999999	5.338666667	5.3720333330000001	5.4054000000000002	5.4387666670000003	5.4721333330000004	5.5054999999999996	5.53	88666669999997	5.5722333329999998	5.6055999999999999	5.638966667	5.6723333330000001	5.7057000000000002	5.7390666670000003	5.7724333330000004	5.8057999999999996	5.8391666669999998	5.8725333329999998	5.9058999999999999	5.9392666670000001	5.9726333330000001	6.0060000000000002	6.0393666670000004	6.0727333330000004	6.1060999999999996	6.1394666669999998	6.1728333329999998	6.2061999999999999	6.2395666670000001	6.2729333330000001	6.3063000000000002	6.3396666670000004	6.3730333330000004	6.4063999999999997	6.4397666669999998	6.4731333329999998	6.5065	6.5398666670000001	6.5732333330000001	6.6066000000000003	6.6399666670000004	6.6733333330000004	6.7066999999999997	6.7400666669999998	6.7734333329999998	6.8068	-0.42719158509999999	-0.427306028	-0.4282425372	-0.42989669629999999	-0.43129967200000002	-0.43235157769999999	-0.43372942739999998	-0.4347962588	-0.4358652227	-0.43616739539999999	-0.43636319909999999	-0.43577311169999999	-0.43494053090000001	-0.4	3398903300000002	-0.43263261580000001	-0.43126738110000001	-0.42995901440000001	-0.42955187989999999	-0.42893348440000001	-0.42819934770000001	-0.42833942920000001	-0.42860643199999998	-0.4288262826	-0.43077850649999999	-0.4320130814	-0.4333685625	-0.43459884339999999	-0.43573052340000001	-0.43687990129999998	-0.43726366100000003	-0.4375424034	-0.4372482996	-0.43666300470000002	-0.43563550519999999	-0.43515329800000002	-0.43462447469999999	-0.43327848879999997	-0.43184583850000002-0.43061348849999997	-0.42998254609999997	-0.42940394669999998	-0.42923746909999999	-0.42956743660000002	-0.4301465854	-0.43129445900000002	-0.43259825280000003	-0.43376908130000003	-0.43480620539999998	-0.43581529730000002	-0.4365497304	-0.43677957960000002	-0.43692788560000001	-0.4362909828	-0.43554738259999998	-0.43441408609999999	-0.43552496699999999	-0.43459858220000003	-0.43273147820000002	-0.43199632869999999	-0.43233822039999997	-0.4321717175	-0.43212866909999997	-0.43253870750000001	-0.43313983169999998	-0.43420626159999998	-0.43521287419999999	-0.43655843960000001	-0.43778477869999999	-0.43872876189999999	-0.4397430464	-0.4401098061	-0.44038165169999999	-0.4401345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(s)
y (m)
x	1,335 s
2,703 s
4,071 s
5,439 s
6,807 s
6,807 s
3.3366666670000003E-2	6.6733333330000005E-2	0.10009999999999999	0.13346666669999999	0.1668333333	0.20019999999999999	0.23356666670000001	0.26693333330000002	0.30030000000000001	0.3336666667	0.36703333329999999	0.40039999999999998	0.43376666670000003	0.46713333330000001	0.50049999999999994	0.53386666670000005	0.56723333330000003	0.60060000000000002	0.63396666670000001	0.6673333333	0.70069999999999999	0.73406666669999998	0.76743333329999996	0.80079999999999996	0.83416666669999995	0.86753333330000004	0.90090000000000003	0.93426666670000003	0.96763333330000001	1.0009999999999999	1.034366667	1.0677333330000001	1.1011	1.1344666670000001	1.1678333329999999	1.2012	1.234566667	1.267933333	1.3012999999999999	1.334666667	1.3680333330000001	1.4014	1.4347666670000001	1.4681333329999999	1.5015000000000001	1.534866667	1.568233333	1.6015999999999999	1.63496666	7	1.6683333330000001	1.7017	1.7350666669999999	1.7684333329999999	1.8018000000000001	1.835166667	1.868533333	1.9018999999999999	1.9352666670000001	1.9686333330000001	2.0019999999999998	2.0353666669999999	2.068733333	2.1021000000000001	2.1354666670000002	2.1688333329999998	2.2021999999999999	2.2355666670000001	2.2689333330000001	2.3022999999999998	2.3356666669999999	2.369033333	2.4024000000000001	2.4357666670000002	2.4691333329999998	2.5024999999999999	2.5358666670000001	2.5692333330000001	2.6025999999999998	2.6359666669999999	2.669333333	2.7027000000000001	2.7360666669999998	2.7694333329999998	2.8028	2.8361666670000001	2.8695333330000001	2.9028999999999998	2.9362666669999999	2.969633333	3.0030000000000001	3.0363666669999998	3.0697333329999998	3.1031	3.1364666670000001	3.1698333330000001	3.2031999999999998	3.236566667	3.269933333	3.3033000000000001	3.3366666669999998	3.3700333329999999	3.4034	3.4367666670000001	3.4701333330000002	3.5034999999999998	3.536866667	3.570233333	3.6036000000000001	3.6369666669999998	3.6703333329999999	3.7037	3.7370666670000001	3.7704333330000002	3.8037999999999998	3.837166667	3.870533333	3.9039000000000001	3.9372666669999998	3.9706333329999999	4.0039999999999996	4.0373666669999997	4.0707333329999997	4.1040999999999999	4.137466667	4.170833333	4.2042000000000002	4.2375666670000003	4.2709333330000003	4.3042999999999996	4.3376666669999997	4.3710333329999997	4.4043999999999999	4.437766667	4.471133333	4.5045000000000002	4.5378666670000003	4.5712333330000003	4.6045999999999996	4.6379666669999997	4.6713333329999998	4.7046999999999999	4.738066667	4.7714333330000001	4.8048000000000002	4.8381666670000003	4.8715333330000004	4.9048999999999996	4.9382666669999997	4.9716333329999998	5.0049999999999999	5.038366667	5.0717333330000001	5.1051000000000002	5.1384666670000003	5.1718333330000004	5.2051999999999996	5.2385666669999997	5.2719333329999998	5.3052999999999999	5.338666667	5.3720333330000001	5.4054000000000002	5.4387666670000003	5.4721333330000004	5.5054999999999996	5.5388666669999997	5.57223333	29999998	5.6055999999999999	5.638966667	5.6723333330000001	5.7057000000000002	5.7390666670000003	5.7724333330000004	5.8057999999999996	5.8391666669999998	5.8725333329999998	5.9058999999999999	5.9392666670000001	5.9726333330000001	6.0060000000000002	6.0393666670000004	6.0727333330000004	6.1060999999999996	6.1394666669999998	6.1728333329999998	6.2061999999999999	6.2395666670000001	6.2729333330000001	6.3063000000000002	6.3396666670000004	6.3730333330000004	6.4063999999999997	6.4397666669999998	6.4731333329999998	6.5065	6.5398666670000001	6.5732333330000001	6.6066000000000003	6.6399666670000004	6.6733333330000004	6.7066999999999997	6.7400666669999998	6.7734333329999998	6.8068	6.8068	8.7145481950000006E-2	8.5391847189999995E-2	8.0867371379999997E-2	7.3694792189999997E-2	6.576833939E-2	5.6535286689999999E-2	4.4867224339999998E-2	3.2652179060000001E-2	1.8871534030000001E-2	5.2983731499999997E-3	-8.7971381430000002E-3	-2.232488421E-2	-3.61	20616949999997E-2	-4.844050305E-2	-6.0151762679999998E-2	-7.0632972340000003E-2	-7.8710955250000006E-2	-8.7395851890000001E-2	-9.3520120580000005E-2	-9.6545023790000004E-2	-9.7253779659999998E-2	-9.4996762159999998E-2	-8.9987355620000001E-2	-8.4602507160000007E-2	-7.617404203E-2	-6.6590651279999996E-2	-5.5755503970000002E-2	-4.4157244480000003E-2	-3.1999360890000002E-2	-1.805184726E-2	-4.4193545470000003E-3	8.9146416490000005E-3	2.2052349320000001E-2	3.4077467309999998E-2	4.4832979859999997E-2	5.3971806999999997E-2	6.2469017139999999E-2	6.951348701E-2	7.480020305E-2	7.8033094959999993E-2	7.9776804460000003E-2	7.9405659330000003E-2	7.750832329E-2	7.3362802259999998E-2	6.757916437E-2	6.0109662789999997E-2	5.0949525250000002E-2	4.0262407E-2	2.833731414E-2	1.5943809789999999E-2	2.8207227509999999E-3	-1.119118197E-2	-2.4361193180000001E-2-3.7167092419999999E-2	-4.94072978	30000002E-2	-5.8900337269999999E-2	-6.8771481780000004E-2	-7.4679446920000003E-2	-8.0844979440000006E-2	-8.7475647759999997E-2	-8.9671045470000002E-2	-8.9632425119999998E-2	-8.7808069949999998E-2	-8.3618054050000001E-2	-7.8280890970000003E-2	-7.0387370729999996E-2	-6.139028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(s)
x(m)
1
 
Física Experimental 1 IF
-
UFF
 
Relatório A5
 
1
 
Nome: 
 
O objetivo desta prática é obter o período da oscilação (T) de um pêndulo 
simples utilizando o software Tracker via a análise por vídeo.
 
1. Montagem experimental
 
Teoricamente espera
-
se que, num regime de pequenas amplitudes de 
oscilações, o período do pêndulo pode ser dado por 
??
=
2
??
?
??
??
. Na aula de 
hoje iremos novamente estudar esta relação teórica e verificá
-
la experimentalmente. Monte o seu 
aparato experimental 
conforme realizado no relatório 3. Você deverá escolher um dado comprimento 
de fio para realizar esta nova montagem experimental. Garanta, da melhor forma possível, que as 
medidas sejam realizadas em um mesmo ângulo inicial (menor que 15°). Utilize seu cel
ular (ou 
qualquer outro dispositivo de captura) para filmar a oscilação do pêndulo. 
Certifique
-
se de haver 
algum elemento de calibração na sua filmagem, isto é, alguma coisa que você conheça o 
comprimento de maneira efetiva (pode ser uma régua com a escala
 
visível, por exemplo). 
Preferivelmente, realize a medida onde haja alguma linha ou marcação vertical que possa ser 
captada pela câmera. 
 
Iremos utilizar o software tracker para realizar as análises requisitadas, entretanto, iniciaremos 
realizando medidas 
com seus instrumentos analógicos 
(IMPORTANTE: o comprimento 
l
 
denota o 
comprimento do ponto de oscilação ao qual o fio está preso até o centro do objeto que está 
oscilando).
 
 
Tabela 1.
 
Informações preliminares da montagem
 
Dados
 
Instrumento 
de medida
 
Valor
 
 
Valor 
Incerteza
 
Unidade
 
Comprimento 
l
 
Régua
 
40
 
 
± 
 
0,01
 
cm
 
Ângulo 
?
 
Transferidor
 
10
 
 
± 
 
0,01
 
graus
 
Massa m (se 
possuir balança)
 
Weigth Scale 
Estimator 
(app)
 
0,042
 
 
± 
 
0,001
 
kg
 
 
2. Software Tracker
 
Agora que sua pré
-
montagem está concluída, podemos 
iniciar a análise com o software Tracker e 
realizar a análise do pêndulo. Inicialmente, utilize as ferramentas do programa e determine o ângulo 
inicial de medida, assim como o comprimento total(
l
)
 
de oscilação. Em seguida, realize uma medida 
com, ao menos,
 
5 oscilações do seu pêndulo. 
 
Q1.
 
Obtenha 
l
 
e 
θ
 
com o Tracker. Coloque uma foto (print screen) nesse relatσrio com a determinaηγo 
 
Física Experimental 1 IF-UFF 
Relatório A5 
1 
Nome: 
O objetivo desta prática é obter o período da oscilação (T) de um pêndulo 
simples utilizando o software Tracker via a análise por vídeo. 
1. Montagem experimental 
Teoricamente espera-se que, num regime de pequenas amplitudes de 
oscilações, o período do pêndulo pode ser dado por ??=2??
??
??
. Na aula de 
hoje iremos novamente estudar esta relação teórica e verificá-la experimentalmente. Monte o seu 
aparato experimental conforme realizado no relatório 3. Você deverá escolher um dado comprimento 
de fio para realizar esta nova montagem experimental. Garanta, da melhor forma possível, que as 
medidas sejam realizadas em um mesmo ângulo inicial (menor que 15°). Utilize seu celular (ou 
qualquer outro dispositivo de captura) para filmar a oscilação do pêndulo. Certifique-se de haver 
algum elemento de calibração na sua filmagem, isto é, alguma coisa que você conheça o 
comprimento de maneira efetiva (pode ser uma régua com a escala visível, por exemplo). 
Preferivelmente, realize a medida onde haja alguma linha ou marcação vertical que possa ser 
captada pela câmera. 
Iremos utilizar o software tracker para realizar as análises requisitadas, entretanto, iniciaremos 
realizando medidas com seus instrumentos analógicos (IMPORTANTE: o comprimento l denota o 
comprimento do ponto de oscilação ao qual o fio está preso até o centro do objeto que está 
oscilando). 
 
Tabela 1. Informações preliminares da montagem 
Dados Instrumento 
de medida 
Valor Valor 
Incerteza 
Unidade 
Comprimento l 
Régua 40 
 ± 
0,01 cm 
Ângulo ? 
Transferidor 10 
 ± 
0,01 graus 
Massa m (se 
possuir balança) 
Weigth Scale 
Estimator 
(app) 
0,042 
 ± 
0,001 kg 
 
2. Software Tracker 
Agora que sua pré-montagem está concluída, podemos iniciar a análise com o software Tracker e 
realizar a análise do pêndulo. Inicialmente, utilize as ferramentas do programa e determine o ângulo 
inicial de medida, assim como o comprimento total(l) de oscilação. Em seguida, realize uma medida 
com, ao menos, 5 oscilações do seu pêndulo. 
Q1. Obtenha l e θ com o Tracker. Coloque uma foto (print screen) nesse relatório com a determinação