Questões - ITA | Gabarito e resoluções

(ITA - 2016 - 1 FASE) A partir do repouso, um foguete de brinquedo lanado verticalmente do cho, mantendo uma acelerao constante de 5,00 m/s2 durante os 10,0 primeiros segundos. Desprezando a resistncia do ar, a altura mxima atingida pelo foguete e o tempo total de sua permanncia no ar so, respectivamente, de:

(ITA - 2016 - 1 Fase) Considere os seguintes compostos qumicos que se encontram no estado lquido temperatura de 298 K e presso ambiente de 1 bar: I. 2-metil-pentano II. 3-metil-pentano III. 2,2-dimetil-butano IV. 2,3-dimetil-butano V. Hexano Nestas condies, assinale a opo que apresenta a ordem decrescente da magnitude da presso de vapor dos respectivos compostos.

(ITA - 2016) Seja (a1, a2, a3, . . .) a sequncia definida da seguinte forma: a1 = 1000 e an = log10(1 + an1) para n 2. Considere as afirmaesa seguir: I. A sequncia (an) decrescente. II. an 0 para todo n 1. III. an 1 para todo n 3. (so) verdadeira(s)

(ITA - 2016 - 1 FASE) O texto apresenta como modelos de gesto bem sucedida e independente de auxlio do governo as empresas

(ITA - 2016 - 1 FASE) Seja Pn um polgono convexo regular de n lados, com n 3. Considere as afirmaes a seguir: I. Pn inscritvel numa circunferncia. II. Pn circunscritvel a uma circunferncia. III. Se Ln o comprimento de um lado de Pn e an o comprimento de um aptema de Pn, ento para todo n 3. (so) verdadeira(s)

(ITA - 2016 - 1 Fase) Assinale a opo que apresenta a afirmao ERRADA.

(ITA - 2016 - 1 FASE) Um caminho ba de 2,00 m de largura e centro de gravidade a 3,00 m do cho percorre um trecho de estrada em curva com 76,8 m de raio. Para manter a estabilidade do veculo neste trecho, sem derrapar, sua velocidade no deve exceder a:

(ITA - 2016 - 1 FASE) Um tringulo est inscrito numa circunferncia de raio 1cmO seu maior lado mede2cme sua rea de cm2.Ento, o menor lado do tringulo, em cm, mede

(ITA - 2016 - 1 FASE) Considere duas estrelas de um sistema binrio em que cada qual descreve uma rbita circular em torno do centro de massa comum. Sobre tal sistema so feitas as seguintes afirmaes: I. O perodo de revoluo o mesmo para as duas estrelas. II. Esse perodo funo apenas da constante gravitacional, da massa total do sistema e da distncia entre ambas as estrelas. III. Sendo R1 e R2 os vetores posio que unem o centro de massa dos sistemas aos respectivos centros de massa das estrelas, tanto R1 como R2 varrem reas de mesma magnitude num mesmo intervalo de tempo. Assinale a alternativa correta.

(ITA - 2016 - 1 Fase) Considere a reao descrita pela seguinte equao qumica: H2(g, 1bar) + 2AgBr(s) 2H+ (aq) + 2Br (aq) + 2Ag(s). Sendo X o potencial padro (E) da reao, o pH da soluo a 25 oC quando o potencial da reao (E) for Y ser dado por

(ITA - 2016 - 1 FASE) Brazils business Belindia Why the country produces fewer world-class companies than it should BRAZILIANS make up almost of the planets population and produce about of its output. Yet of the firms in Fortune magazines 2014 Global 500 ranking of the biggest companies by revenue only seven, or were from Brazil, down from eight in 2013. And on Forbess list of the most highly valued firms worldwide just 25, or were Brazilian. The countrys biggest corporate star, Petrobras, is mired in scandals, its debt downgraded to junk status. 1In 1974 Edmar Bacha, an economist, described its economy as Belindia, a Belgium-sized island of prosperity in a sea of India-like poverty. Since then Brazil has done far better than India in alleviating poverty, but in business terms it still has a Belindia problem: a handful of world-class enterprises in a sea of poorly run ones. 2Brazilian businesses face a litany of obstacles: bureaucracy, complex tax rules, shoddy infrastructure and a shortage of skilled workers to say nothing of a stagnant economy. But a big reason for Brazilian firms underperformance is less well rehearsed: poor management. Since 2004 John van Reenen of the London School of Economics and his colleagues have surveyed midsized firms in 34 countries, grading them on a five-point scale based on how well they monitor their operations, set targets and reward performance. Brazilian firms average score, at is similar to that of Chinas and a bit above that of Indias. But Brazil ranks below Chile (2.8) and Mexico (2.9); America leads the pack with 3.3. 3The best Brazilian firms score as well as the best American ones, but its long tail of badly run ones is fatter. Part of the explanation is that medium and large firms tend to be better-organised than small ones, and not only because well-run ones are likelier to grow. 4Brazil offers incentives aplenty to stay bitty, such as preferential tax treatment for firms with a turnover of no more than reais As they expand, many firms split rather than face increased scrutiny from the taxman. According to the World Bank, a midsized Brazilian firm spends hours filing taxes each year. In Mexico, it is hours. 5Ownership patterns play a part too. 6Many Brazilian concerns are controlled by an individual shareholder, or one or two families. 7Two-thirds of those with sales of more than $1 billion a year are family-owned, notes Heinz-Peter Elstrodt of McKinsey, a consulting firm. That is less than in Mexico or South Korea but more than in America or Europe. Mr Van Reenens research shows that where family owners plump for outside chief executives, their firms do no worse than similarly sized ones with more diverse shareholders. But all too often they pick kin over professional managers and performance suffers. 8This is particularly true in low-trust societies like Brazil, where bosses hire relatives instead of better-qualified strangers to avoid being robbed or sued for falling foul of overly worker-friendly labour laws. 9Decades of economic turmoil 10which ended when hyperinflation was vanquished in 1994 meant that companies were managed from crisis to crisis. 11This forced Brazilian firms to be nimble. But it also encouraged short-termism, which management consultants and academics finger as Brazilian managers number-one sin. Faced with a record drought in 2014, 12and a subsequent spike in energy prices in a hydropower-dependent country, Usiminas, a steelmaker, stopped smelting and started selling power it had bought on cheap long-term contracts. Energy sales made up most of its operating profits that year. 13Such short-term stunts are hardly the path to long-term greatness. Worse, crisis management all too often consists of going cap in hand to the government. 14Brazilian bosses continue to waste hours in meetings with politicians that could be better spent improving their businesses. 15In January 2014, as vehicle sales flagged, 16the automotive industrys reflex reaction was to descend on the capital, Braslia, and demand an extension of its costly tax breaks. Thanks to lifelines cast by the state, feeble firms stay afloat rather than sink and make room for more agile competitors. Shielded from competition by tariffs, subsidies and local-content rules, they have little reason to innovate. A locally invented gizmo which lets cars run on both petrol and biodiesel is nifty. But, asks Marcos Lisboa of Insper, a business school, does that really justify six decades of public support for the motor industry? The dead hand of government Indeed, a glance at the Belgian end of Brazils corporate landscape suggests that successful firms cluster in sectors the state has not tried desperately to help, such as retail or finance. 17Bradesco, a big lender, is internationally praised as a pioneer of automated banking. Each month Arezzo creates new models of womens shoes, and picks 170-odd to sell in its shops. Brazils other world-beaters are in industries like agriculture and aerospace, which are free to compete at home and abroad, and in which the government sticks to its proper role. In 1990 farms were allowed to consolidate and to buy foreign machines, pesticides and fertiliser. Efforts by Brazils trade negotiators opened up export markets. JBS, a meat giant, can slaughter head of cattle a day, selling more beef than any rival worldwide. Thanks in part to Embrapa, the national agriculture-research agency, Brazilian farms have been raising productivity by about a year for two decades. Similarly, a supply of skilled engineers and know-how from the governments Technological Institute of Aeronautics has helped turn Embraer, privatised in 1994, into one of the worlds most successful aircraft-makers. The success of businesses such as these offers a lesson for the state. The best way to make Brazils underperforming firms more competitive would be to make them compete more. 18Coddling by the state can be more a curse than a blessing. Ronald Reagans dictum that the nine most terrifying words in the English language are, Im from the government and Im here to help, translates well into Flemish, Hindi and Brazilian Portuguese. By Schumpeter. In: The Economist. Feb 28th, 2015. Considere as seguintes afirmativas: I. Em This forced Brazilian firms to be nimble. But it also encouraged short-termism, which management consultants... (reference 11), os pronomes sublinhados possuem o mesmo referente. II. Em The best Brazilian firms score as well as the best American ones... (reference 3) e em Brazil offers incentives aplenty to stay bitty, such as preferential tax treatment (reference 4) os termos sublinhados tm o mesmo sentido. III. Em This is particularly true in low-trust societies like Brazil (reference 8) e em Bradesco, a big lender, is internationally praised as a pioneer (reference 17) os termos sublinhados tm o mesmo sentido. IV. Em ...which ended when hyperinflation was vanquished in 1994 (reference 10) e em the automotive industrys reflex reaction was to descend on the capital (reference 16), as formas verbais sublinhadas esto na voz passiva. Est(ao) correta(s)

(ITA - 2016 - 1 Fase) Uma amostra de 4,4 g de um gs ocupa um volume de 3,1 L a 10oCe 566 mmHg. Assinale a alternativa que apresenta a razo entre as massas especficas deste gs e a do hidrognio gasoso nas mesmascondies de presso e temperatura.

(ITA - 2016 - 1 FASE) Os tipos de inteligncia que se associam s definies I , II , III e IV da figura so, respectivamente:

(ITA - 2016 - 2 FASE) Na ausncia da gravidade e no vcuo, encontram-se trs esferas condutoras alinhadas, A, B e C, de mesmo raio e de massas respectivamente iguais a m, m e 2m. Inicialmente B e C encontram-se descarregadas e em repouso, e a esfera A, com carga eltrica Q, lanada contra a intermediria B com uma certa velocidade v. Supondo que todos movimentos ocorram ao longo de uma mesma reta, que as massas sejam grandes o suficiente para se desprezar as foras coulombianas e ainda que todas as colises sejam elsticas, Determine a carga eltrica de cada esfera aps todas as colises possveis.

(ITA - 2016 - 1 FASE) Se o sistema de equaes impossvel, ento os valores de a e b so tais que