Questões - ITA | Gabarito e resoluções

(ITA - 2002 - 1a Fase) THE GREAT ENGLISH DIVIDE Antonio Sanz might as well have won the lottery. In 1965, when the small, curly-haired Spaniard was 10, an American professor asked his parents if she might take the boy to the U.S. and enroll him in public school. They agreed. America seemed to offer a brighter future than the dairy farms where his father worked in the foothills north of Madrid. Sanz left, but came back to Spain every summer with stories from Philadelphia and boxes of New World artifacts: Super Balls, baseball cards, and Bob Dylan records. His real prize, though, was English. Sanz learned fast, and by senior year he outscored most of his honors English classmates in the verbal section of the Scholastic Aptitude Test. In those days, back in his hometown of Colmenar Viejo, English seemed so exotic that kids would stop him on the street and ask him to say a few sentences. By the time he graduated from Hamilton College in Clinton, N. Y., and moved back to Spain, American companies there were nearly as excited. He landed in Procter Gamble Co. Sanz, now 46 and a father of three, employs his Philadelphia English as an executive at Vodafone PLC in Madrid. But something funny has happened to his second language. These days, English is no longer special, or odd, or even foreign. In Paris, Dsseldorf, Madrid, and even in the streets of Colmenar Viejo, English has put down roots. What else can we speak? Sanz asks. (...) Business Week Aug 13, 2001. Considere as afirmaes abaixo: I. A famlia de Antonio Sanz vivia numa cidadezinha chamada Colmenar Viejo, prxima a Madrid, na Espanha. II. O pai de Antonio Sanz era proprietrio de fazendas de gado leiteiro na Espanha. III. Todos os anos, durante as frias de vero, Antonio Sanz dava aulas de ingls para as outras crianas de Colmenar Viejo. est(o) condizente(s) com o texto:

(ITA - 2002 - 1a Fase) Um pesquisador percebe que a freqncia de uma nota emitida pela buzina de um automvel parece cair de 284 hz para 266 hz medida que o automvel passa por ele. Sabendo que a velocidade do som no ar 330 m/s, qual das alternativas melhor representa a velocidade do automvel?

(ITA - 2002 - 1a Fase) Appropriate for All Ages Japanese toymakers are focusing on senior citizens By Hideko Takayama Much has been made in Japan of the clout of teenage girls, the arbiters of taste and uncrowned queens of the fashionindustry. But when it comes to toys, a radically different demographic is beginning to call the shots. Japanese toymakers now see senior citizens as their most dynamic market. Nearly 22 million Japanese 17.4 percent of the population are over 65, and that number is expected to top 25 percent by 2020. Three million senior citizens live alone, and 1.55 million Japanese are senile (their numbers are also expected to grow rapidly). This aging population presents a huge silver market estimated at 50 trillion yen ($416 billion) for everything from beds to cosmetics to homecare nurses and helpers. Major industries such as electronics, construction and foodstuffs have already begun developing products tailored to old folks: robots to help out around the house, homes that have no steps or stairs and healthy, oilfree foods. The toy industry wants a piece of the action. There is a great potential says Yoshinori Haga, an official at Bandai, the biggest toymaker in Japan. Toys can be used for entertainment, to give the old people nostalgic feelings or to be a companion for those who live alone. Indeed, playthings are not just for fun anymore. Toshimitsu Musha, president of the Brain Functions Lab near Tokyo, argues that playing with toys can help human brains stay active and sharp. While researching Alzheimers disease, Musha found that art therapy such as painting and claywork helped to prevent the brains of Alzheimers patients from deteriorating. What works best for the elderly is something that they enjoy, where they have to use their brain and which requires concentration from 30 minutes to one hour, he says. (...) Newsweek August 6, 2001. Considere as afirmaes abaixo: I. No Japo, a indstria de vesturio fortemente influenciada pela preferncia das adolescentes japonesas. II. Ser feito um investimento de cerca de 416 bilhes de dlares em produtos para idosos. III. A indstria de brinquedos tem como principal meta a venda de jogos e brinquedos para idosos que vivem sozinhos. est(o) condizente(s) com o texto:

(ITA - 2002 - 1a Fase) A figura mostra uma espira condutora que se desloca com velocidade constante v numa regio com campo magntico uniforme no espao e constante no tempo. Este campo magntico forma um ngulo com o plano da espira. A fora eletromotriz mxima produzida pela variao de fluxo magntico no tempo ocorre quando

(ITA - 2002) A equao qumica que representa a reao de decomposio do iodeto de hidrognio : 2 HI(g) H2(g) + I2(g); H (25C) = - 51,9 kJ. Em relao a esta reao, so fornecidas as seguintes informaes: a) A variao da energia de ativao aparente dessa reao ocorrendo em meio homogneo igual a 183,9 kJ. b) A variao da energia de ativao aparente dessa reao ocorrendo na superfcie de um fio de ouro igual a 96,2 kJ. Considere, agora, as seguintes afirmaes relativas a essa reao de decomposio: I. A velocidade da reao no meio homogneo igual a da mesma reao realizada no meio heterogneo. II. A velocidade da reao no meio homogneo diminui com o aumento da temperatura. III. A velocidade da reao no meio heterogneo independe da concentrao inicial de iodeto de hidrognio. IV. A velocidade da reao na superfcie do ouro independe da rea superficial do ouro. V. A constante de velocidade da reao realizada no meio homogneo igual a da mesma reao realizada no meio heterogneo. Destas afirmaes, esto CORRETAS

(ITA - 2002 - 1a Fase) Considere a regio do plano cartesiano xy definida pela desigualdade . Quando esta regio rodar um ngulo de radianos em torno da reta , ela ir gerar um slido de superfcie externa total com rea igual a

(ITA - 2002 - 1a Fase) Seja uma pirmide regular de base hexagonal e altura 10 m. A que distncia do vrtice devemos cort-la por um plano paralelo base de forma que o volume da pirmide obtida seja 1/8 do volume da pirmide original?

(ITA - 2002 - 1a Fase) Appropriate for All Ages Japanese toymakers are focusing on senior citizens By Hideko Takayama Much has been made in Japan of the clout of teenage girls, the arbiters of taste and uncrowned queens of the fashionindustry. But when it comes to toys, a radically different demographic is beginning to call the shots. Japanese toymakers now see senior citizens as their most dynamic market. Nearly 22 million Japanese 17.4 percent of the population are over 65, and that number is expected to top 25 percent by 2020. Three million senior citizens live alone, and 1.55 million Japanese are senile (their numbers are also expected to grow rapidly). This aging population presents a huge silver market estimated at 50 trillion yen ($416 billion) for everything from beds to cosmetics to homecare nurses and helpers. Major industries such as electronics, construction and foodstuffs have already begun developing products tailored to old folks: robots to help out around the house, homes that have no steps or stairs and healthy, oilfree foods. The toy industry wants a piece of the action. There is a great potential says Yoshinori Haga, an official at Bandai, the biggest toymaker in Japan. Toys can be used for entertainment, to give the old people nostalgic feelings or to be a companion for those who live alone. Indeed, playthings are not just for fun anymore. Toshimitsu Musha, president of the Brain Functions Lab near Tokyo, argues that playing with toys can help human brains stay active and sharp. While researching Alzheimers disease, Musha found that art therapy such as painting and claywork helped to prevent the brains of Alzheimers patients from deteriorating. What works best for the elderly is something that they enjoy, where they have to use their brain and which requires concentration from 30 minutes to one hour, he says. (...) Newsweek August 6, 2001. O aging population a que o texto se refere no segundo pargrafo composto:

(ITA - 2002 - 1a Fase) O frasco mostrado na figura a seguir contm uma soluo aquosa saturada em oxignio, em contato com ar atmosfrico, sob presso de 1 atm e temperatura de 25 C. Quando gs borbulhado atravs desta soluo, sendo a presso de entrada do gs maior do que a presso de sada, de tal forma que a presso do gs em contato com a soluo possa ser considerada constante e igual a 1 atm, ERRADO afirmar que a concentrao de oxignio dissolvido na soluo

(ITA - 2002 - 1a Fase) Um trecho da msica Quanta, de Gilberto Gil, reproduzido no destaque a seguir. Fragmento infinitsimo, Quase que apenas mental, Quantum granulado no mel, Quantum ondulado do sal, Mel de urnio, sal de rdio Qualquer coisa quase ideal. As frases Quantum granulado no mel e Quantum ondulado do sal relacionam-se, na Fsica, com

(ITA - 2002 - 2 fase - Questo 21) Estamos habituados a tomar sucos e refrigerantes usando canudinhos de plstico. Neste processo esto envolvidos alguns conceitos fsicos importantes. Utilize seus conhecimentos de fsica para estimar o mximo comprimento que um canudinho pode ter e ainda permitir que a gua chegue at a boca de uma pessoa. Considere que o canudinho deve ser sugado sempre na posio vertical. Justifique suas hipteses e assuma, quando julgar necessrio, valores para as grandezas fsicas envolvidas. Dado: 1 atm = 1,013 105 N/m2

(ITA - 2002 - 2 fase - Questo 21)A figura abaixo representa um sistema constitudo por dois recipientes, A e B, de igual volume, que se comunicam atravs da vlvula V. gua pura adicionada ao recipiente A atravs da vlvula VA, que fechada logo a seguir.

(ITA - 2002 - 2 fase - Questo 21)Seja a funo f dada por . Determine todos os valores de x que tornam f no negativa.

Na tabela abaixo são mostrados os valores de temperatura de fusão de algumas substâncias Substância Temperatura de fusão (C) Bromo -7 Água 0 Sódio 98 Brometo de Sódio 747 Silício 1414 Em termos dos tipos de interação presentes em cada substância, justifique a ordem crescente de temperatura de fusão das substâncias listadas.

(ITA - 2002 - 2 fase - Questo 22)Mediante chave seletora, um chuveiro eltrico tem a sua resistncia graduada para dissipar 4,0kW no inverno, 3,0kW no outono, 2,0kW na primavera e 1,0kW no vero. Numa manh de inverno, com temperatura ambiente de 10C, foram usados 10,0Lde gua desse chuveiro para preencher os 16% do volume faltante do aqurio de peixes ornamentais, de modo a elevar sua temperatura de 23C para 28C. Sabe-se que 20% da energia perdida no aquecimento do ar, a densidade da gua = 1,0 g/cm3e calor especfico da gua 4,18J/gK. Considerando que a gua do chuveiro foi colhida em 10 minutos, em que posio se encontrava a chave seletora? Justifique.