Questões - IME | Gabarito e resoluções

(IME - 2009/2010)Uma partcula emite um som de frequncia constante e se desloca no plano XY de acordo com as seguintes equaes de posio em funo do tempo t: x = a cos(wt) y = b sen(wt) onde: a, b e w so constantes positivas, com a b. Sejam as afirmativas: I) o som na origem percebido com a mesma frequncia quando a partcula passa pelas coordenadas (a,0) e (0,b). II) o raio de curvatura mximo da trajetria ocorre quando a partcula passa pelos pontos (0,b) e (0,-b). III) a velocidade mxima da partcula ocorre com a passagem da mesma pelo eixo Y. A(s) afirmativa(s) correta(s) (so):

(IME - 2009/2010 - 1 FASE) Leia a passagem seguinte e responda pergunta que a seguem. Glaciers at the equator. The legendary source of the River Nile. Mysterious snow-capped peaks shrouded in an impenetrable cloud. These may sound like the stuff of myths but in this case these descriptions aptly depict Ugandas Rwenzori Mountains, known for more than 2,000 years as the Mountains of the Moon. Located at Ugandas western border with the Democratic Republic of Congo, the Rwenzori Mountains rise as much as 5,109 m (16,763 ft) above gorges at equatorial sea-level to create an amazingly diverse environment that includes tropical rain forests, marshes and lakes, grasslands, glaciers and snowfields. The flora and fauna that flourish there are as unique as the region itself. On gentler slopes, rare mountain gorillas may inhabit bamboo forests, while giant tree heathers up to 10 m (33 ft) tall sway on open ridge tops. Its no wonder much of the region is now designated World Heritage Site yet only the lucky visitors will actually see the 100 km (62 mi) of mountain peaks, as a cloak of thick fog envelopes the Rwenzori year-round. It was this fog cloud that kept the legendary peaks from being documented until the late 1800s by non-African explorers and the summit wasnt reached until year later. According to the passage, Rwenzoris summits

(IME - 2009/2010) A figura ilustra uma mola feita de material isolante eltrico, no deformada, toda contida no interior de um tubo plstico no condutor eltrico, de altura h = 50 cm. Colocando-se sobre a mola um pequeno corpo (raio desprezvel) de massa 0,2 kg e carga positiva de 9 x 10-6C, a mola passa a ocupar metade da altura do tubo. O valor da carga, em coulombs, que dever ser fixada na extremidade superior do tubo, de modo que o corpo possa ser posicionado em equilbrio esttico a 5 cm do fundo, Dados: Acelerao da Gravidade: g = 10 m/s2 Constante Eletrosttica: K = 9 x 109N.m2/C

(IME - 2009/2010) Um raio de luz monocromtica incide em um lquido contido em um tanque, como mostrado na figura. O fundo do tanque espelhado, refletindo o raio luminoso sobre a parede posterior do tanque exatamente no nvel do lquido. O ndice de refrao do lquido em relao ao ar :

(IME - 2009/2010 - 1 FASE) Leia a passagem seguinte e responda pergunta que a seguem. Glaciers at the equator. The legendary source of the River Nile. Mysterious snow-capped peaks shrouded in an impenetrable cloud. These may sound like the stuff of myths but in this case these descriptions aptly depict Ugandas Rwenzori Mountains, known for more than 2,000 years as the Mountains of the Moon. Located at Ugandas western border with the Democratic Republic of Congo, the Rwenzori Mountains rise as much as 5,109 m (16,763 ft) above gorges at equatorial sea-level to create an amazingly diverse environment that includes tropical rain forests, marshes and lakes, grasslands, glaciers and snowfields. The flora and fauna that flourish there are as unique as the region itself. On gentler slopes, rare mountain gorillas may inhabit bamboo forests, while giant tree heathers up to 10 m (33 ft) tall sway on open ridge tops. Its no wonder much of the region is now designated World Heritage Site yet only the lucky visitors will actually see the 100 km (62 mi) of mountain peaks, as a cloak of thick fog envelopes the Rwenzori year-round. It was this fog cloud that kept the legendary peaks from being documented until the late 1800s by non-African explorers and the summit wasnt reached until year later. About the Rwenzori Mountains, it is correct to say that ...

(IME - 2009/2010 - 1 FASE) Leia a passagem seguinte e responda pergunta que a seguem. In countless panel discussions on the future of technology, Im not sure I ever got anything right. As I look back on technological progress, I experience first retrospective surprise, then surprise that Im surprised, because it all crept up on me when I wasnt looking. How can something like Google feel so inevitable and yet be impossible to predict? Im filled with wonder at all that we engineers have accomplished, and I take great communal pride in how weve changed the world in so many ways. Decades ago I never dreamed we would have satellite navigation, computers in our pockets, the Internet, cellphones, neither robots that would explore Mars. How did all this happen, and what are we doing for our next trick? The software pioneer Alan Kay has said that the best way to predict the future is to invent it, and thats what weve been busy doing. The word it, underlined in the sentence As I look back on technological progress, I experience first retrospective surprise, then surprise that Im surprised, because it all crept up on me when I wasnt looking refers to which idea mentioned in the text?

(IME - 2009/2010)Considere as seguintes possibilidades para a estrutura da molcula de trifluoreto de cloro (ClF3): Assinale a alternativa correta.

(IME - 2009/2010) Em um recipiente fechado queima-se propano com 80% da quantidade estequiomtrica de ar. Admitindo que no haja hidrocarbonetos aps a combusto, que todos os produtos da reao estejam na fase gasosa e que a composio volumtrica do ar seja de uma parte de O2 para quatro partes de N2, calcule a porcentagem molar de CO2 no recipiente aps a combusto (considere comportamento ideal para os gases).

(IME - 2009/2010 - 1 FASE) Leia a passagem seguinte e responda pergunta que a seguem. In countless panel discussions on the future of technology, Im not sure I ever got anything right. As I look back on technological progress, I experience first retrospective surprise, then surprise that Im surprised, because it all crept up on me when I wasnt looking. How can something like Google feel so inevitable and yet be impossible to predict? Im filled with wonder at all that we engineers have accomplished, and I take great communal pride in how weve changed the world in so many ways. Decades ago I never dreamed we would have satellite navigation, computers in our pockets, the Internet, cellphones, neither robots that would explore Mars. How did all this happen, and what are we doing for our next trick? The software pioneer Alan Kay has said that the best way to predict the future is to invent it, and thats what weve been busy doing. The sentence How can something like Google feel so inevitable and yet be impossible to predict? means that

(IME - 2009/2010 - 1 FASE) Leia a passagem seguinte e responda pergunta que a seguem. In countless panel discussions on the future of technology, Im not sure I ever got anything right. As I look back on technological progress, I experience first retrospective surprise, then surprise that Im surprised, because it all crept up on me when I wasnt looking. How can something like Google feel so inevitable and yet be impossible to predict? Im filled with wonder at all that we engineers have accomplished, and I take great communal pride in how weve changed the world in so many ways. Decades ago I never dreamed we would have satellite navigation, computers in our pockets, the Internet, cellphones, neither robots that would explore Mars. How did all this happen, and what are we doing for our next trick? The software pioneer Alan Kay has said that the best way to predict the future is to invent it, and thats what weve been busy doing. In the sentence Decades ago I never dreamed we would have satellite navigation, computers in our pockets, the Internet, cellphones, neither robots that would explore Mars. the word neither can be changed for which of the following words, still keeping the same meaning and grammatical accuracy?

(IME - 2009/2010) Assinale a alternativa que indica a soma dos menores coeficientes inteiros capazes de balancear a equao qumica acima:

(IME - 2009/2010) Assinale a alternativa correta.

(IME - 2009/2010 - 1 FASE) Leia a passagem seguinte e responda pergunta que a seguem. In countless panel discussions on the future of technology, Im not sure I ever got anything right. As I look back on technological progress, I experience first retrospective surprise, then surprise that Im surprised, because it all crept up on me when I wasnt looking. How can something like Google feel so inevitable and yet be impossible to predict? Im filled with wonder at all that we engineers have accomplished, and I take great communal pride in how weve changed the world in so many ways. Decades ago I never dreamed we would have satellite navigation, computers in our pockets, the Internet, cellphones, neither robots that would explore Mars. How did all this happen, and what are we doing for our next trick? The software pioneer Alan Kay has said that the best way to predict the future is to invent it, and thats what weve been busy doing. According to the passage, we can say that its author

(IME - 2009/2010 - 1 FASE) Leia a passagem seguinte e responda pergunta que a seguem. Billions of dollars spent on defeating improvised explosive devices (IED) are beginning to show what technology can and cannot do for the evolving struggle. Two platoons of U.S. Army scouts are in a field deep in the notorious Triangle of Death south of Baghdad, a region of countless clashes between Sunni insurgents and Shia militias. The platoons are guided by a local man whos warned them of pressure-plate improvised explosive devices, designed to explode when stepped on. He has assured them that he knows where the IEDs are, which means he is almost certainly a former Sunni insurgent. The platoons come under harassing fire. It stops, but later the tension mounts again as they maneuver near an abandoned house known to shelter al-Qaeda fighters. A shot rings out; the scouts take cover. They dont realize its just their local guide, with an itchy trigger finger, taking the potshot at the house. The lieutenant leading the patrol summons three riflemen to cover the abandoned house. Then all hell breaks loose. One of the riflemen, a sergeant, steps on a pressure-plate IED. The blast badly injures him, the two other riflemen, and the lieutenant. A Navy explosives specialist along on the mission immediately springs into action, using classified gear to comb the area for more bombs. Until he gives the all clear, no one can move, not even to tend the bleeding men. Meanwhile, one of the frozen-inspace scouts notices another IED right next to him and gives a shout, provoking more combing in his area. Then a big area has to be cleared so that the medevac helicopter already on the way can land. That incident, which took place on 7 November 2007, exhibits many of the hallmarks of the missions in Iraq and Afghanistan a small patrol; a local man of dubious background; Navy specialists working with soldiers on dry land; and costly technologies pressed into service against cheap and crude weapons. And, most of all, death by IED. What scene is narrated in this passage?

(IME - 2009/2010)Assinale a alternativa que indica o nmero de ismeros pticos e o nmero de racematos (misturas racmicas) do 2-cloro-5-vinilciclopent-3-en-1-ol.