(FUVEST 2013 1° FASE) No experimento descrito a seguir, dois corpos, feitos de um mesmo material, de densidade uniforme, um cilíndrico e o outro com forma de paralelepípedo, são colocados dentro de uma caixa, como ilustra a figura ao lado (vista de cima). Um feixe fino de raios X, com intensidade constante, produzido pelo gerador G, atravessa a caixa e atinge o detector D, colocado do outro lado. Gerador e detector estão acoplados e podem mover-se sobre um trilho. O conjunto Gerador-Detector é então lentamente deslocado ao longo da direção x, registrando-se a intensidade da radiação no detector, em função de x. A seguir, o conjunto Gerador- Detector é reposicionado, e as medidas são repetidas ao longo da direção y.
As intensidades I detectadas ao longo das direções x e y são mais bem representadas por
Note e adote
- A absorção de raios X pelo material é, aproximadamente, proporcional à sua espessura, nas condições de experimento.
Questões relacionadas
- Língua Portuguesa | 1.3 Intenção do Texto
Choque a 36 000 km/h
A faixa que vai de 160 quilômetros de altitude em volta da terra assemelha-se a uma avenida congestionada onde orbitam 3 000 satélites ativos. Eles disputam espaço com 17 000 fragmentos de artefatos lançados pela Terra e que se desmancharam – foguetes, satélites desativados e até ferramentas perdidas por astronautas. Com um tráfego celeste tão intenso, era questão de tempo para que acontecesse um acidente de grandes proporções, como o da semana passada. Na terça-feira, dois satélites em órbita desde os anos 90 colidiram em um ponto 790 quilômetros acima da Sibéria. A trombada dos satélites chama a atenção para os riscos que oferece a montanha de lixo espacial em órbita. Como os objetos viajam a grande velocidade, mesmo um pequeno fragmento de 10 centímetros poderia causar estragos consideráveis no telescópio Hubble ou na estação espacial Internacional — nesse caso pondo em risco a vida dos astronautas que lá trabalham.
Revista Veja. 18 set. 2009 (adaptado).
Levando-se em consideração os elementos constitutivos de um texto jornalístico, infere-se que o autor teve como objetivo:
- Filosofia | 4.3 Empiristas e Racionalistas
(UECE) Sobre a questão da liberdade em Spinoza, a filósofa brasileira Marilena Chauí afirma o seguinte: “[...] o poder teológico-político é duplamente violento. Em primeiro lugar, porque pretende roubar dos homens a origem de suas ações sociais e políticas, colocando-as como cumprimento a mandamentos transcendentes de uma vontade divina incompreensível ou secreta, fundamento da ‘razão de Estado’. Em segundo, porque as leis divinas reveladas, postas como leis políticas ou civis, impedem o exercício da liberdade, pois não regulam apenas usos e costumes, mas também a linguagem e o pensamento, procurando dominar não só os corpos, mas também os espíritos”.
CHAUÍ, Marilena. Espinosa, uma subversão filosófica. Revista CULT, 14 de março de 2010. Disponível em: https://revistacult.uol.com.br/home/baruch-espinosa/.
O poder teológico-político é violento, porque
- Língua Inglesa | 2.07 Conjunções
(FGV-SP) The road to hell
(1) Bringing crops from one of the futuristic new farms in Brazil’s central and northern plains to foreign markets means taking a journey back in time. Loaded onto lorries, most are driven almost 2,000km south on narrow, potholed roads to the ports of Santos and Paranaguá. In the 19th and early 20th centuries they were used to bring in immigrants and ship out the coffee grown in the fertile states of São Paulo and Paraná, but now they are overwhelmed. Thanks to a record harvest this year, Brazil became the world’s largest soya producer, overtaking the United States. The queue of lorries waiting to enter Santos sometimes stretched to 40km.
(2) No part of that journey makes sense. Brazil has too few crop silos, so lorries are used for storage as well as transport, causing a crush at ports after harvest. Produce from so far north should probably not be travelling to southern ports at all. Freight by road costs twice as much as by rail and four times as much as by water. Brazilian farmers pay 25% or more of the value of their soya to bring it to port; their competitors in Iowa just 9%. The bottleneck at ports pushes costs higher still. It also puts off customers. In March Sunrise Group, China’s biggest soya trader, cancelled an order for 2m tonnes of Brazilian soya after repeated delays.
(3) All of Brazil’s infrastructure is decrepit. The World Economic Forum ranks it at 114th out of 148 countries. After a spate of railway-building at the turn of the 20th century, and road- and dam-building 50 years later, little was added or even maintained. In the 1980s infrastructure was a casualty of slowing growth and spiralling inflation. Unable to find jobs, engineers emigrated or retrained. Government stopped planning for the long term. According to Contas Abertas, a public-spending watchdog, only a fifth of federal money budgeted for urban transport in the past decade was actually spent. Just 1.5% of Brazil’s GDP goes on infrastructure investment from all sources, both public and private. The long-run global average is 3.8%. The McKinsey Global Institute estimates the total value of Brazil’s infrastructure at 16% of GDP. Other big economies average 71%. To catch up, Brazil would have to triple its annual infrastructure spending for the next 20 years.
(4) Moreover, it may be getting poor value from what little it does invest because so much goes on the wrong things. A cumbersome environmental-licensing process pushes up costs and causes delays. Expensive studies are required before construction on big projects can start and then again at various stages along the way and at the end. Farmers and manufacturers spend heavily on lorries because road transport is their only option. But that is working around the problem, not solving it.
(5) In the 1990s Mr Cardoso’s government privatized state-owned oil, energy and telecoms firms. It allowed private operators to lease terminals in public ports and to build their own new ports. Imports were booming as the economy opened up, so container terminals were a priority. The one at the public port in Bahia’s capital, Salvador, is an example of the transformation wrought by private money and management. Its customers used to rate it Brazil’s worst port, with a draft too shallow for big ships and a quay so short that even smaller vessels had to unload a bit at a time. But in the past decade its operator, Wilson & Sons, spent 260m reais on replacing equipment, lengthening the quay and deepening the draft. Capacity has doubled. Land access will improve, too, once an almost finished expressway opens. Paranaguá is spending 400m reais from its own revenues on replacing outdated equipment, but without private money it cannot expand enough to end the queues to dock. It has drawn up detailed plans to build a new terminal and two new quays, and identified 20 dockside areas that could be leased to new operators, which would bring in 1.6 billion reais of private investment. All that is missing is the federal government’s permission. It hopes to get it next year, but there is no guarantee.
(6) Firms that want to build their own infrastructure, such as mining companies, which need dedicated railways and ports, can generally build at will in Brazil, though they still face the hassle of environmental licensing. If the government wants to hand a project to the private sector it will hold an auction, granting the concession to the highest bidder, or sometimes the applicant who promises the lowest user charges. But since Lula came to power in 2003 there have been few infrastructure auctions of any kind. In recent years, under heavy lobbying from public ports, the ports regulator stopped granting operating licences to private ports except those intended mainly for the owners’ own cargo. As a result, during a decade in which Brazil became a commodity-exporting powerhouse, its bulk-cargo terminals hardly expanded at all.
(7) At first Lula’s government planned to upgrade Brazil’s infrastructure without private help. In 2007 the president announced a collection of long-mooted public construction projects, the Growth Acceleration Programme (PAC). Many were intended to give farming and mining regions access to alternative ports. But the results have been disappointing. Two-thirds of the biggest projects are late and over budget. The trans-north-eastern railway is only half-built and its cost has doubled. The route of the east-west integration railway, which would cross Bahia, has still not been settled. The northern stretch of the BR-163, a trunk road built in the 1970s, was waiting so long to be paved that locals started calling it the “endless road”. Most of it is still waiting.
(8) What has got things moving is the prospect of disgrace during the forthcoming big sporting events. Brazil’s terrible airports will be the first thing most foreign football fans see when they arrive for next year’s World Cup. Infraero, the state-owned company that runs them, was meant to be getting them ready for the extra traffic, but it is a byword for incompetence. Between 2007 and 2010 it managed to spend just 800m of the 3 billion reais it was supposed to invest. In desperation, the government last year leased three of the biggest airports to private operators.
(9) That seemed to break a bigger logjam. First more airport auctions were mooted; then, some months later, Ms Rousseff announced that 7,500km of toll roads and 10,000km of railways were to be auctioned too. Earlier this year she picked the biggest fight of her presidency, pushing a ports bill through Congress against lobbying from powerful vested interests. The new law enables private ports once again to handle third-party cargo and allows them to hire their own staff, rather than having to use casual labour from the dockworkers’ unions that have a monopoly in public ports. Ms Rousseff also promised to auction some entirely new projects and to re-tender around 150 contracts in public terminals whose concessions had expired.
(10) Would-be investors in port projects are hanging back because of the high chances of cost overruns and long delays. Two newly built private terminals at Santos that together cost more than 4 billion reais illustrate the risks. Both took years to get off the ground and years more to build. Both were finished earlier this year but remained idle for months. Brasil Terminal Portuário, a private terminal within the public port, is still waiting for the government to dredge its access channel. At Embraport, which is outside the public-port area, union members from Santos blocked road access and boarded any ships that tried to dock. Rather than enforcing the law that allows such terminals to use their own workers, the government summoned the management to Brasília for some arm-twisting. In August Embraport agreed to take the union members “on a trial basis”.
(11) Given such regulatory and execution risks, there are unlikely to be many takers for either rail or port projects as currently conceived, says Bruno Savaris, an infrastructure analyst at Credit Suisse. He predicts that at most a third of the planned investments will be auctioned in the next three years: airports, a few simple port projects and the best toll roads. That is far short of what Brazil needs. The good news, says Mr Savaris, is that the government is at last beginning to understand that it must either reduce the risks for private investors or raise their returns. Private know-how and money will be vital to get Brazil moving again.
(www.economist.com/news/special-report. Adapted)
In the sentence fragment from the last paragraph – it must either reduce the risks for private investors or raise their returns – the use of either ... or indicates an idea of
- Matemática
(ENEM 2009 1ªAPLICAÇÃO) A resolução das câmeras digitais modernas é dada em megapixels, unidade de medida que representa um milhão de pontos. As informações sobre cada um desses pontos são armazenadas, em geral, em 3 bytes. Porém, para evitar que as imagens ocupem muito espaço, elas são submetidas a algoritmos de compressão, que reduzem em até 95% a quantidade de bytes necessários para armazená-las. Considere 1 KB = 1.000 bytes, 1 MB = 1.000 KB, 1 GB = 1.000 MB.
Utilizando uma câmera de 2.0 megapixels cujo algoritmo de compressão é de 95%, João fotografou 150 imagens para seu trabalho escolar. Se ele deseja armazená-las de modo que o espaço restante no dispositivo seja o menor espaço possível, ele deve utilizar
- Física
Em um experimento de Millikan (determinação da carga do elétron com gotas de óleo), sabe-se que cada gota tem uma massa de 1,60 pg e possui uma carga excedente de quatro elétrons. Suponha que as gotas são mantidas em repouso entre as duas placas horizontais separadas de 1,8 cm. A diferença de potencial entre as placas deve ser, em volts, igual a
Dados: carga elementar e = 1,6 x 10-19 C;
1 pg = 10-12 g; g = 10 m/s2