Questões - UNESP | Gabarito e resoluções

(UNESP - 2012/2 - 2a fase - Questo 20) Para observar detalhes de um selo, um filatelista utiliza uma lente esfrica convergente funcionando como lupa. Com ela, consegue obter uma imagem ntida e direita do selo, com as dimenses relativas mostradas na figura. Considerando que o plano que contm o selo paralelo ao da lente e sabendo que a distncia focal da lente igual a 20 cm, calcule os mdulos das distncias do selo lente e da imagem do selo lente.

(UNESP - 2012 - 1a Fase) Leia o texto a seguir: Why use biofuels for aviation? The aviation industry has seen huge growth since its beginning. Today, more than two billion people enjoy the social and economical benefits of flight each year. The ability to fly conveniently and efficiently between nations has been a catalyst for the global economy and has shrunk cultural barriers like no other transport sector. But this progress comes at a cost. In 2008, the commercial aviation industry produced 677 million tones of carbon dioxide (CO2 ). This is around 2% of the total man-made CO2 emissions of more than 34 billion tones. While this amount is smaller compared with other industry sectors, such as power generation and ground transport, these industries have viable alternative energy sources currently available. For example, the power generation industry can look to wind, hydro, nuclear and solar technologies to make electricity without producing much CO2 . Cars and buses can run on hybrid, flexible fuel engines or electricity. ___________________-powered trains can replace __________________ locomotives. The aviation industry has identified the development of biofuels as one of the major ways it can reduce its greenhouse gas emissions. Biofuels provide aviation with the capability to partially, and perhaps one day fully, replace carbon-intensive petroleum fuels. They will, over time, enable the industry to reduce its carbon footprint significantly. (Beginners Guide to Aviation Biofuels, May 2009. Adaptado.) Duas das razes apontadas para o desenvolvimento de biocombustveis e sua utilizao em avies so

(UNESP - 2012- 2 fase) Considere o circuito eltrico que esquematiza dois modos de ligao de duas lmpadas eltricas iguais, com valores nominais de tenso e potncia eltrica 60 V e 60 W, respectivamente. Modo A ambiente totalmente iluminado: a chave Ch, ligada no ponto A, mantm as lmpadas L1 e L2 acesas. Modo B ambiente levemente iluminado: a chave Ch, ligada no ponto B, mantm apenas a lmpada L1 acesa, com potncia menor do que a nominal, devido ao resistor R de resistncia hmica constante estar ligado em srie com L1. Considerando que as lmpadas tenham resistncia eltrica constante, que os fios tenham resistncia eltrica desprezvel e que a diferena de potencial de 120 V que alimenta o circuito seja constante, calcule a energia eltrica consumida, em kWh, quando as lmpadas permanecem acesas por 4 h, ligadas no modo A ambiente totalmente iluminado. Determine a resistncia eltrica do resistor R, para que, quando ligada no modo B, a lmpada L1 dissipe uma potncia de 15 W.

(UNESP - 2012/2 - 2a fase - Questo 21) A figura mostra o esquema de ligao de um aquecedor eltrico construdo com quatro resistores hmicos iguais de resistncia R. Os fios e a chave CH tm resistncias desprezveis. A chave pode ser ligada no ponto 1 ou no ponto 2 e o aparelho sempre ligado a uma diferena de potencial constante U. Quando a chave CH ligada no ponto 1, o ampermetro ideal mostrado na figura indica uma corrente de intensidade 2,4 A e os resistores dissipam, no total, 360 W. Calcule a diferena de potencial U. Calcule a intensidade da corrente eltrica indicada pelo ampermetro quando a chave CH for ligada no ponto 2.

(UNESP - 2012/2 - 1a fase) Instruo: Leia o texto para responder s questes de nmeros 21 a 25. Amy Winehouse greets Whitney Houston in heaven (by Hideaki Tailor) HEAVEN Psychics are saying that Amy Winehouse was the first soul singer to greet Whitney Houston, even before Michael Jackson. Top psychics in Los Angeles are saying that Whitney Houstons spirit is already lighting up heaven. Its like the universal source has called the greatest voice of all time back to heaven. Its pure magic up there. Amy was right there. She gave Whitney a big angel hug and walked with her as she met some of her ancestors, relatives and Michael Jackson. Both singers had trouble on earth with alcohol and drugs, but they are at peace now. Fame was too much for their gentle souls, said Madam Marie of Sherman Oaks. Their voices were a gift to our world, but caused great damage to their spirits on earth. Now, they are in a better place. One psychic said that Amy Winehouse and Whitney Houston are planning a concert together in Whitneys first few months. Amys been doing very well in heaven and feels free and happy. While Americans and fans around the world mourn the terrible loss of Whitney, the angels are rejoicing. Our songbird is home, is what St. Peter reportedly said when greeting Whitney, according to a psychic on Venice Beach. (http://weeklyworldnews.com. Adaptado.) O texto trata, principalmente,

(UNESP - 2012- 2 fase) O nmero de quatro algarismos 77XY, onde X o dgito das dezenas e Y o das unidades, divisvel por 91. Determine os valores dos dgitos X e Y.

D(UNESP - 2012/2 - 2a fase - Questo 22) No futebol, um dos gols mais bonitos e raros de se ver o chamado gol olmpico, marcado como resultado da cobrana direta de um escanteio. Suponha que neste tipo de gol: 1. A projeo da trajetria da bola descreva um arco de circunferncia no plano do gramado; 2. A distncia (d) entre o ponto da cobrana do escanteio e o ponto do campo em que a bola entra no gol seja 40 m; 3. A distncia mxima (h) da projeo da trajetria da bola linha de fundo do campo seja 1 m; Determine o raio da circunferncia (R), em metros, do arco descrito pela trajetria da bola, com uma casa decimal de aproximao.

(UNESP - 2012 - 1a Fase) Leia o texto a seguir: Why use biofuels for aviation? The aviation industry has seen huge growth since its beginning. Today, more than two billion people enjoy the social and economical benefits of flight each year. The ability to fly conveniently and efficiently between nations has been a catalyst for the global economy and has shrunk cultural barriers like no other transport sector. But this progress comes at a cost. In 2008, the commercial aviation industry produced 677 million tones of carbon dioxide (CO2). This is around 2% of the total man-made CO2 emissions of more than 34 billion tones. While this amount is smaller compared with other industry sectors, such as power generation and ground transport, these industries have viable alternative energy sources currently available. For example, the power generation industry can look to wind, hydro, nuclear and solar technologies to make electricity without producing much CO2 . Cars and buses can run on hybrid, flexible fuel engines or electricity. ___________________-powered trains can replace __________________ locomotives. The aviation industry has identified the development of biofuels as one of the major ways it can reduce its greenhouse gas emissions. Biofuels provide aviation with the capability to partially, and perhaps one day fully, replace carbon-intensive petroleum fuels. They will, over time, enable the industry to reduce its carbon footprint significantly. (Beginners Guide to Aviation Biofuels, May 2009. Adaptado.) Entre as opes indicadas no texto para que se reduzam as taxas de emisso de carbono no setor energtico esto

(UNESP - 2012/2 - 1a fase) Instruo: Leia o texto para responder s questes de nmeros 21 a 25. Amy Winehouse greets Whitney Houston in heaven (by Hideaki Tailor) HEAVEN Psychics are saying that Amy Winehouse was the first soul singer to greet Whitney Houston, even before Michael Jackson. Top psychics in Los Angeles are saying that Whitney Houstons spirit is already lighting up heaven. Its like the universal source has called the greatest voice of all time back to heaven. Its pure magic up there. Amy was right there. She gave Whitney a big angel hug and walked with her as she met some of her ancestors, relatives and Michael Jackson. Both singers had trouble on earth with alcohol and drugs, but they are at peace now. Fame was too much for their gentle souls, said Madam Marie of Sherman Oaks. Their voices were a gift to our world, but caused great damage to their spirits on earth. Now, they are in a better place. One psychic said that Amy Winehouse and Whitney Houston are planning a concert together in Whitneys first few months. Amys been doing very well in heaven and feels free and happy. While Americans and fans around the world mourn the terrible loss of Whitney, the angels are rejoicing. Our songbird is home, is what St. Peter reportedly said when greeting Whitney, according to a psychic on Venice Beach. (http://weeklyworldnews.com. Adaptado.) Amy Winehouse cumprimentou Whitney Houston

(UNESP - 2012- 2 fase) Um arteso foi contratado para ornamentar os vitrais de uma igreja em fase final de construo. Para realizar o servio, ele precisa de pedaos triangulares de vidro, os quais sero cortados a partir de um vidro pentagonal, com ou sem defeito, que possui n bolhas de ar (n = 0, 1, 2). Sabendo que no h 3 bolhas de ar alinhadas entre si, nem 2 delas alinhadas com algum vrtice do pentgono, e nem 1 delas alinhada com dois vrtices do pentgono, o arteso, para evitar bolhas de ar em seu projeto, cortou os pedaos de vidro triangulares com vrtices coincidindo ou com uma bolha de ar, ou com um dos vrtices do pentgono. Nessas condies, determine a lei de formao do nmero mximo de tringulos (T) possveis de serem cortados pelo arteso, em funo do nmero (n) de bolhas de ar contidas no vidro utilizado.

(UNESP - 2012/2 - 1a fase) Instruo: Leia o texto para responder s questes de nmeros 21 a 25. Amy Winehouse greets Whitney Houston in heaven (by Hideaki Tailor) HEAVEN Psychics are saying that Amy Winehouse was the first soul singer to greet Whitney Houston, even before Michael Jackson. Top psychics in Los Angeles are saying that Whitney Houstons spirit is already lighting up heaven. Its like the universal source has called the greatest voice of all time back to heaven. Its pure magic up there. Amy was right there. She gave Whitney a big angel hug and walked with her as she met some of her ancestors, relatives and Michael Jackson. Both singers had trouble on earth with alcohol and drugs, but they are at peace now. Fame was too much for their gentle souls, said Madam Marie of Sherman Oaks. Their voices were a gift to our world, but caused great damage to their spirits on earth. Now, they are in a better place. One psychic said that Amy Winehouse and Whitney Houston are planning a concert together in Whitneys first few months. Amys been doing very well in heaven and feels free and happy. While Americans and fans around the world mourn the terrible loss of Whitney, the angels are rejoicing. Our songbird is home, is what St. Peter reportedly said when greeting Whitney, according to a psychic on Venice Beach. (http://weeklyworldnews.com. Adaptado.) De acordo com o texto, ambas as cantoras, Amy Winehouse e Whitney Houston,

(UNESP - 2012 - 1a Fase) Leia o texto a seguir: Why use biofuels for aviation? The aviation industry has seen huge growth since its beginning. Today, more than two billion people enjoy the social and economical benefits of flight each year. The ability to fly conveniently and efficiently between nations has been a catalyst for the global economy and has shrunk cultural barriers like no other transport sector. But this progress comes at a cost. In 2008, the commercial aviation industry produced 677 million tones of carbon dioxide (CO2). This is around 2% of the total man-made CO2 emissions of more than 34 billion tones. While this amount is smaller compared with other industry sectors, such as power generation and ground transport, these industries have viable alternative energy sources currently available. For example, the power generation industry can look to wind, hydro, nuclear and solar technologies to make electricity without producing much CO2 . Cars and buses can run on hybrid, flexible fuel engines or electricity. ___________________-powered trains can replace __________________ locomotives. The aviation industry has identified the development of biofuels as one of the major ways it can reduce its greenhouse gas emissions. Biofuels provide aviation with the capability to partially, and perhaps one day fully, replace carbon-intensive petroleum fuels. They will, over time, enable the industry to reduce its carbon footprint significantly. (Beginners Guide to Aviation Biofuels, May 2009. Adaptado.) De acordo com o texto, os setores que ocasionam as menores taxas de emisso de CO2 no mundo so

(UNESP - 2012/2 - 2a fase - Questo 23) Um prdio hospitalar est sendo construdo em um terreno declivoso. Para otimizar a construo, o arquiteto responsvel idealizou o estacionamento no subsolo do prdio, com entrada pela rua dos fundos do terreno. A recepo do hospital est 5 metros acima do nvel do estacionamento, sendo necessria a construo de uma rampa retilnea de acesso para os pacientes com dificuldades de locomoo. A figura representa esquematicamente esta rampa (r), ligando o ponto A, no piso da recepo, ao ponto B, no piso do estacionamento, a qual deve ter uma inclinao mnima de 30 e mxima de 45. Nestas condies e considerando quais devero ser os valores mximo e mnimo, em metros, do comprimento desta rampa de acesso?

(UNESP - 2012- 2 fase) Sejam dois espelhos planos (E1 e E2), posicionados verticalmente, com suas faces espelhadas voltadas uma para outra, e separados por uma distncia d, em centmetros. Suspensos por finas linhas, dois pequenos anis (A e B) so posicionados entre esses espelhos, de modo que as distncias de A e B ao espelho E1sejam, respectivamente, a e b, em centmetros, e a distncia vertical entre os centros dos anis seja h, em centmetros, conforme mostra a figura. Determine o ngulo de incidncia , em relao horizontal, em funo de a, b, d e h, para que um feixe de luz atravesse o anel A, se reflita nos espelhos E1, E2e E3e atravesse o anel B, como indica o percurso na figura. Admita que os ngulos de incidncia e de reflexo do feixe de luz sobre um espelho sejam iguais.

(UNESP - 2012 - 1a Fase) Leia o texto a seguir: Why use biofuels for aviation? The aviation industry has seen huge growth since its beginning. Today, more than two billion people enjoy the social and economical benefits of flight each year. The ability to fly conveniently and efficiently between nations has been a catalyst for the global economy and has shrunk cultural barriers like no other transport sector. But this progress comes at a cost. In 2008, the commercial aviation industry produced 677 million tones of carbon dioxide (CO2). This is around 2% of the total man-made CO2 emissions of more than 34 billion tones. While this amount is smaller compared with other industry sectors, such as power generation and ground transport, these industries have viable alternative energy sources currently available. For example, the power generation industry can look to wind, hydro, nuclear and solar technologies to make electricity without producing much CO2 . Cars and buses can run on hybrid, flexible fuel engines or electricity. ___________________-powered trains can replace __________________ locomotives. The aviation industry has identified the development of biofuels as one of the major ways it can reduce its greenhouse gas emissions. Biofuels provide aviation with the capability to partially, and perhaps one day fully, replace carbon-intensive petroleum fuels. They will, over time, enable the industry to reduce its carbon footprint significantly. (Beginners Guide to Aviation Biofuels, May 2009. Adaptado.) A partcula but, na ltima orao do primeiro pargrafo, estabelece um contraste entre