Questões - IME 2009 | Gabarito e resoluções

(IME - 2009/2010)Em certo fenmeno fsico, uma determinada grandeza referente a um corpo expressa como sendo o produto da massa especfica, do calor especfico, da rea superficial, da velocidade de deslocamento do corpo, do inverso do volume e da diferena de temperatura entre o corpo e o ambiente. A dimenso desta grandeza em termos de massa (M), comprimento (L) e tempo (t) dada por:

(IME - 2009/2010 - 1 fase) Na Situao I da figura, em equilbrio esttico, a Massa M, presa a molas idnticas, est a uma altura h/3. Na Situao II, a mola inferior subitamente retirada. As molas, em repouso, tm comprimento h/2. O mdulo da velocidade da Massa M na iminncia de tocar o solo na Situao II : Observao: g: Acelerao da Gravidade

(IME - 2009/2010 - 1 FASE) Leia a passagem seguinte e responda pergunta que a seguem. Picture yourself on a tranquil tropical beach. The late afternoon sun warms your face, chest and legs. Squeaky clean sand sifts through your salt-flavored fingers. Your mind thinks little further than the splashing of waves on the shoreline and the light flickering off shoals of little fish whizzing around in the crystal clear shallows. Thats the scenario on many Pacific islands, where the sands, in an inevitable process, are always shifting, therefore . According to the passage, it can be inferred that the sand shifting process mentioned in the text is

(IME - 2009/2010 - 1 FASE) Leia a passagem seguinte e responda pergunta que a seguem. Picture yourself on a tranquil tropical beach. The late afternoon sun warms your face, chest and legs. Squeaky clean sand sifts through your salt-flavored fingers. Your mind thinks little further than the splashing of waves on the shoreline and the light flickering off shoals of little fish whizzing around in the crystal clear shallows. Thats the scenario on many Pacific islands, where the sands, in an inevitable process, are always shifting, therefore ... . The phrase Your mind thinks little further than the splashing of waves on the shoreline means that

(IME - 2009/2010 - 1 fase) Na figura, o frasco de vidro no condutor trmico e eltrico contm 0,20 kg de um lquido isolante eltrico que est inicialmente a 20C. Nesse lquido est mergulhado um resistor R1 de 8 Ω. A chave K est inicialmente na vertical e o capacitor C, de 16 F, est descarregado. Ao colocar a chave no Ponto A verifica-se que a energia do capacitor de 0,08 J. Em seguida, comutando a chave para o Ponto B e ali permanecendo durante 5 s, a temperatura do lquido subir para 26C. Admita que todo o calor gerado pelo resistor R1 seja absorvido pelo lquido e que o calor gerado nos resistores R2 e R3 no atinja o frasco. Nessas condies, correto afirmar que o calor especfico do lquido, em cal.g -1C-1, Dado: 1 cal = 4,2 J

(IME - 2009/2010) Um soldado em p sobre um lago congelado (sem atrito) atira horizontalmente com uma bazuca. A massa total do soldado e da bazuca 100 kg e a massa do projtil 1 kg. Considerando que a bazuca seja uma mquina trmica com rendimento de 5% e que o calor fornecido a ela no instante do disparo 100 kJ, a velocidade de recuo do soldado , em m/s,

(IME - 2009/2010 - 1 FASE) Leia a passagem seguinte e responda pergunta que a seguem. Built in the mid-1960s, the Riverside Drive Parking Deck in Elgin, Illinois, is quite large. Approximately 1,000-ft (300-m) long by 60-ft (18-m) wide and nearly all of it over the Fox River the deck is built on hundreds of piles, large concrete cylinders pushed down into the muddy river bottom. Pre-cast elements in the piles used high-tensile steel wire for reinforcement, and that steel is now rusting. A trail-sized piece of the deck has even fallen into the river causing concern to local authorities. About the Riverside Drive Parking Deck, what can NOT be concluded?

(IME - 2009/2010 - 1 FASE) Leia a passagem seguinte e responda pergunta que a seguem. Zrich is the engine of the Swiss economy. Despite having all the conveniences and daily activities of a metropolis, Zrich has been able to preserve the charm of a small town. Yet every day, more than 300,000 commuters, visitors, tourists and business travelers come to this small town through Zrich Central Train Station and that number has been rising steadily. To meet the increasing demand, the Swiss Federal Railways (SBB) together with the Canton of Zrich is expanding the station. According to the passage

(IME - 2009/2010)Trs satlites orbitam ao redor da Terra: o satlite S1em uma rbita elptica com o semi-eixo maior a1 e o semi-eixo menor b1; o satlite S2em outra rbita elptica com semi-eixo maior a2e semi-eixo menor b2; e o satlite S3em uma rbita circular com raio r. Considerando que r = a1 = b2, a1 b1 e a2 b2, correto afirmar que

(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. The region described in the passage

(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 - 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) 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 ...