Todas as questões do ENEM

O profundímetro é um instrumento utilizado por mergulhadores para indicar a que profundidade estão em relação à superfície da água. A imagem mostra dois mergulhadores utilizando um profundímetro rudimentar constituído de um tubo de vidro com a extremidade inferior aberta e a superior fechada, aprisionando determinada quantidade de ar. Quando o tubo se desloca verticalmente dentro da água, o volume ocupado pelo ar varia, indicando uma variação da pressão exercida pela água.

(http://chc.org.br. Adaptado.)

Considere um mergulhador inicialmente sob pressão absoluta de 2 atm. Nessa situação, a altura da coluna de ar dentro do tubo de vidro é de 20 cm. Após afundar um pouco, o mergulhador para em uma posição em que a altura da coluna de ar é igual a 16 cm, conforme a figura.

Considerando que uma coluna de água, em equilíbrio, com 10 m de altura exerce uma pressão de 1 atm, que o ar é um gás ideal e que a temperatura é constante durante o mergulho, é correto afirmar que a variação de profundidade sofrida por esse mergulhador foi de

     BRASÍLIA — Brazil’s highest court has long viewed itself as a bastion of manners and formality. Justices call one another “Your Excellency,” dress in billowing robes and wrap each utterance in grandiloquence, as if little had changed from the era when marquises and dukes held sway from their vast plantations.

     In one televised feud, Mr. Barbosa questioned another justice about whether he would even be on the court had he not been appointed by his cousin, a former president impeached in 1992. With another justice, Mr. Barbosa rebuked him over what the chief justice considered his condescending tone, telling him he was not his “capanga,” a term describing a hired thug. 

      In one of his most scathing comments, Mr. Barbosa, the high court’s first and only black justice, took on the entire legal system of Brazil — where it is still remarkably rare for politicians to ever spend time in prison, even after being convicted of crimes — contending that the mentality of judges was “conservative, pro-status-quo and pro-impunity.”

     “I have a temperament that doesn’t adapt well to politics,” Mr. Barbosa, 58, said in a recent interview in his quarters here in the Supreme Federal Tribunal, a modernist landmark designed by the architect Oscar Niemeyer. “It’s because I speak my mind so much.” 

     His acknowledged lack of tact notwithstanding, he is the driving force behind a series of socially liberal and establishment-shaking rulings, turning Brazil’s highest court — and him in particular — into a newfound political power and the subject of popular fascination. 

   The court’s recent rulings include a unanimous decision upholding the University of Brasília’s admissions policies aimed at increasing the number of black and indigenous students, opening the way for one of the Western Hemisphere’s most sweeping affirmative action laws for higher education. 

     In another move, Mr. Barbosa used his sway as chief justice and president of the panel overseeing Brazil’s judiciary to effectively legalize same-sex marriage across the country. And in an anticorruption crusade, he is overseeing the precedent-setting trial of senior political figures in the governing Workers Party for their roles in a vast vote-buying scheme.

   Ascending to Brazil’s high court, much less pushing the institution to assert its independence, long seemed out of reach for Mr. Barbosa, the eldest of eight children raised in Paracatu, an impoverished city in Minas Gerais State, where his father worked as a bricklayer.  

    But his prominence — not just on the court, but in the streets as well — is so well established that masks with his face were sold for Carnival, amateur musicians have composed songs about his handling of the corruption trial and posted them on YouTube, and demonstrators during the huge street protests that shook the nation this year told pollsters that Mr. Barbosa was one of their top choices for president in next year’s elections.

     While the protests have subsided since their height in June, the political tumult they set off persists. The race for president, once considered a shoo-in for the incumbent, Dilma Rousseff, is now up in the air, with Mr. Barbosa — who is now so much in the public eye that gossip columnists are following his romance with a woman in her 20s — repeatedly saying he will not run. “I’m not a candidate for anything,” he says. 

     But the same public glare that has turned him into a celebrity has singed him as well. While he has won widespread admiration for his guidance of the high court, Mr. Barbosa, like almost every other prominent political figure in Brazil, has recently come under scrutiny. And for someone accustomed to criticizing the so-called supersalaries awarded to some members of Brazil’s legal system, the revelations have put Mr. Barbosa on the defensive. 

     One report in the Brazilian news media described how he received about $180,000 in payments for untaken leaves of absence during his 19 years as a public prosecutor. (Such payments are common in some areas of Brazil’s large public bureaucracy.) Another noted that he bought an apartment in Miami through a limited liability company, suggesting an effort to pay less taxes on the property. In statements, Mr. Barbosa contends that he has done nothing wrong. 

     In a country where a majority of people now define themselves as black or of mixed race — but where blacks remain remarkably rare in the highest echelons of political institutions and corporations — Mr. Barbosa’s trajectory and abrupt manner have elicited both widespread admiration and a fair amount of resistance. 

     As a teenager, Mr. Barbosa moved to the capital, Brasília, finding work as a janitor in a courtroom. Against the odds, he got into the University of Brasília, the only black student in its law program at the time. Wanting to see the world, he later won admission into Brazil’s diplomatic service, which promptly sent him to Helsinki, the Finnish capital on the shore of the Baltic Sea. 

     Sensing that he would not advance much in the diplomatic service, which he has called “one of the most discriminatory institutions of Brazil,” Mr. Barbosa opted for a career as a prosecutor. He alternated between legal investigations in Brazil and studies abroad, gaining fluency in English, French and German, and earning a doctorate in law at Pantheon-Assas University in Paris. 

   Fascinated by the legal systems of other countries, Mr. Barbosa wrote a book on affirmative action in the United States. He still voices his admiration for figures like Thurgood Marshall, the first black Supreme Court justice in the United States, and William J. Brennan Jr., who for years embodied the court’s liberal vision, clearly drawing inspiration from them as he pushed Brazil’s high court toward socially liberal rulings.

    Still, no decision has thrust Mr. Barbosa into Brazil’s public imagination as much as his handling of the trial of political operatives, legislators and bankers found guilty in a labyrinthine corruption scandal called the mensalão, or big monthly allowance, after the regular payments made to lawmakers in exchange for their votes. 

    Last November, at Mr. Barbosa’s urging, the high court sentenced some of the most powerful figures in the governing Workers Party to years in prison for their crimes in the scheme, including bribery and unlawful conspiracy, jolting a political system in which impunity for politicians has been the norm.  

     Now the mensalão trial is entering what could be its final phases, and Mr. Barbosa has at times been visibly exasperated that defendants who have already been found guilty and sentenced have managed to avoid hard jail time. He has clashed with other justices over their consideration of a rare legal procedure in which appeals over close votes at the high court are examined. 

     Losing his patience with one prominent justice, Ricardo Lewandowski, who tried to absolve some defendants of certain crimes, Mr. Barbosa publicly accused him this month of “chicanery” by using legalese to prop up certain positions. An outcry ensued among some who could not stomach Mr. Barbosa’s talking to a fellow justice like that. “Who does Justice Joaquim Barbosa think he is?” asked Ricardo Noblat, a columnist for the newspaper O Globo, questioning whether Mr. Barbosa was qualified to preside over the court. “What powers does he think he has just because he’s sitting in the chair of the chief justice of the Supreme Federal Tribunal?” 

      Mr. Barbosa did not apologize. In the interview, he said some tension was necessary for the court to function properly. “It was always like this,” he said, contending that arguments are now just easier to see because the court’s proceedings are televised. 

     Linking the court’s work to the recent wave of protests, he explained that he strongly disagreed with the violence of some demonstrators, but he also said he believed that the street movements were “a sign of democracy’s exuberance.” 

     “People don’t want to passively stand by and observe these arrangements of the elite, which were always the Brazilian tradition,” he said. 

When Mr. Barbosa was a teenager, he was employed as a

Em uma avenida, um ônibus com 14 m de comprimento e 3 m de altura está parado a 5 m de distância da base de um semáforo, o qual está a 5 m do chão. Atrás do ônibus para um carro, cujo motorista tem os olhos a 1 m do chão e a 2 m da parte frontal do carro, conforme indica a figura a seguir: 

Determine a menor distância (d) em que o carro deverá manter-se do ônibus, a fim de que o motorista possa enxergar o semáforo inteiro.

     BRASÍLIA — Brazil’s highest court has long viewed itself as a bastion of manners and formality. Justices call one another “Your Excellency,” dress in billowing robes and wrap each utterance in grandiloquence, as if little had changed from the era when marquises and dukes held sway from their vast plantations.

     In one televised feud, Mr. Barbosa questioned another justice about whether he would even be on the court had he not been appointed by his cousin, a former president impeached in 1992. With another justice, Mr. Barbosa rebuked him over what the chief justice considered his condescending tone, telling him he was not his “capanga,” a term describing a hired thug. 

      In one of his most scathing comments, Mr. Barbosa, the high court’s first and only black justice, took on the entire legal system of Brazil — where it is still remarkably rare for politicians to ever spend time in prison, even after being convicted of crimes — contending that the mentality of judges was “conservative, pro-status-quo and pro-impunity.”

     “I have a temperament that doesn’t adapt well to politics,” Mr. Barbosa, 58, said in a recent interview in his quarters here in the Supreme Federal Tribunal, a modernist landmark designed by the architect Oscar Niemeyer. “It’s because I speak my mind so much.” 

     His acknowledged lack of tact notwithstanding, he is the driving force behind a series of socially liberal and establishment-shaking rulings, turning Brazil’s highest court — and him in particular — into a newfound political power and the subject of popular fascination. 

   The court’s recent rulings include a unanimous decision upholding the University of Brasília’s admissions policies aimed at increasing the number of black and indigenous students, opening the way for one of the Western Hemisphere’s most sweeping affirmative action laws for higher education. 

     In another move, Mr. Barbosa used his sway as chief justice and president of the panel overseeing Brazil’s judiciary to effectively legalize same-sex marriage across the country. And in an anticorruption crusade, he is overseeing the precedent-setting trial of senior political figures in the governing Workers Party for their roles in a vast vote-buying scheme.

   Ascending to Brazil’s high court, much less pushing the institution to assert its independence, long seemed out of reach for Mr. Barbosa, the eldest of eight children raised in Paracatu, an impoverished city in Minas Gerais State, where his father worked as a bricklayer.  

    But his prominence — not just on the court, but in the streets as well — is so well established that masks with his face were sold for Carnival, amateur musicians have composed songs about his handling of the corruption trial and posted them on YouTube, and demonstrators during the huge street protests that shook the nation this year told pollsters that Mr. Barbosa was one of their top choices for president in next year’s elections.

     While the protests have subsided since their height in June, the political tumult they set off persists. The race for president, once considered a shoo-in for the incumbent, Dilma Rousseff, is now up in the air, with Mr. Barbosa — who is now so much in the public eye that gossip columnists are following his romance with a woman in her 20s — repeatedly saying he will not run. “I’m not a candidate for anything,” he says. 

     But the same public glare that has turned him into a celebrity has singed him as well. While he has won widespread admiration for his guidance of the high court, Mr. Barbosa, like almost every other prominent political figure in Brazil, has recently come under scrutiny. And for someone accustomed to criticizing the so-called supersalaries awarded to some members of Brazil’s legal system, the revelations have put Mr. Barbosa on the defensive. 

     One report in the Brazilian news media described how he received about $180,000 in payments for untaken leaves of absence during his 19 years as a public prosecutor. (Such payments are common in some areas of Brazil’s large public bureaucracy.) Another noted that he bought an apartment in Miami through a limited liability company, suggesting an effort to pay less taxes on the property. In statements, Mr. Barbosa contends that he has done nothing wrong. 

     In a country where a majority of people now define themselves as black or of mixed race — but where blacks remain remarkably rare in the highest echelons of political institutions and corporations — Mr. Barbosa’s trajectory and abrupt manner have elicited both widespread admiration and a fair amount of resistance. 

     As a teenager, Mr. Barbosa moved to the capital, Brasília, finding work as a janitor in a courtroom. Against the odds, he got into the University of Brasília, the only black student in its law program at the time. Wanting to see the world, he later won admission into Brazil’s diplomatic service, which promptly sent him to Helsinki, the Finnish capital on the shore of the Baltic Sea. 

     Sensing that he would not advance much in the diplomatic service, which he has called “one of the most discriminatory institutions of Brazil,” Mr. Barbosa opted for a career as a prosecutor. He alternated between legal investigations in Brazil and studies abroad, gaining fluency in English, French and German, and earning a doctorate in law at Pantheon-Assas University in Paris. 

   Fascinated by the legal systems of other countries, Mr. Barbosa wrote a book on affirmative action in the United States. He still voices his admiration for figures like Thurgood Marshall, the first black Supreme Court justice in the United States, and William J. Brennan Jr., who for years embodied the court’s liberal vision, clearly drawing inspiration from them as he pushed Brazil’s high court toward socially liberal rulings.

    Still, no decision has thrust Mr. Barbosa into Brazil’s public imagination as much as his handling of the trial of political operatives, legislators and bankers found guilty in a labyrinthine corruption scandal called the mensalão, or big monthly allowance, after the regular payments made to lawmakers in exchange for their votes. 

    Last November, at Mr. Barbosa’s urging, the high court sentenced some of the most powerful figures in the governing Workers Party to years in prison for their crimes in the scheme, including bribery and unlawful conspiracy, jolting a political system in which impunity for politicians has been the norm.  

     Now the mensalão trial is entering what could be its final phases, and Mr. Barbosa has at times been visibly exasperated that defendants who have already been found guilty and sentenced have managed to avoid hard jail time. He has clashed with other justices over their consideration of a rare legal procedure in which appeals over close votes at the high court are examined. 

     Losing his patience with one prominent justice, Ricardo Lewandowski, who tried to absolve some defendants of certain crimes, Mr. Barbosa publicly accused him this month of “chicanery” by using legalese to prop up certain positions. An outcry ensued among some who could not stomach Mr. Barbosa’s talking to a fellow justice like that. “Who does Justice Joaquim Barbosa think he is?” asked Ricardo Noblat, a columnist for the newspaper O Globo, questioning whether Mr. Barbosa was qualified to preside over the court. “What powers does he think he has just because he’s sitting in the chair of the chief justice of the Supreme Federal Tribunal?” 

      Mr. Barbosa did not apologize. In the interview, he said some tension was necessary for the court to function properly. “It was always like this,” he said, contending that arguments are now just easier to see because the court’s proceedings are televised. 

     Linking the court’s work to the recent wave of protests, he explained that he strongly disagreed with the violence of some demonstrators, but he also said he believed that the street movements were “a sign of democracy’s exuberance.” 

     “People don’t want to passively stand by and observe these arrangements of the elite, which were always the Brazilian tradition,” he said. 

According to the text, Mr. Barbosa’s eminence could truly be seen when

     BRASÍLIA — Brazil’s highest court has long viewed itself as a bastion of manners and formality. Justices call one another “Your Excellency,” dress in billowing robes and wrap each utterance in grandiloquence, as if little had changed from the era when marquises and dukes held sway from their vast plantations.

     In one televised feud, Mr. Barbosa questioned another justice about whether he would even be on the court had he not been appointed by his cousin, a former president impeached in 1992. With another justice, Mr. Barbosa rebuked him over what the chief justice considered his condescending tone, telling him he was not his “capanga,” a term describing a hired thug. 

      In one of his most scathing comments, Mr. Barbosa, the high court’s first and only black justice, took on the entire legal system of Brazil — where it is still remarkably rare for politicians to ever spend time in prison, even after being convicted of crimes — contending that the mentality of judges was “conservative, pro-status-quo and pro-impunity.”

     “I have a temperament that doesn’t adapt well to politics,” Mr. Barbosa, 58, said in a recent interview in his quarters here in the Supreme Federal Tribunal, a modernist landmark designed by the architect Oscar Niemeyer. “It’s because I speak my mind so much.” 

     His acknowledged lack of tact notwithstanding, he is the driving force behind a series of socially liberal and establishment-shaking rulings, turning Brazil’s highest court — and him in particular — into a newfound political power and the subject of popular fascination. 

   The court’s recent rulings include a unanimous decision upholding the University of Brasília’s admissions policies aimed at increasing the number of black and indigenous students, opening the way for one of the Western Hemisphere’s most sweeping affirmative action laws for higher education. 

     In another move, Mr. Barbosa used his sway as chief justice and president of the panel overseeing Brazil’s judiciary to effectively legalize same-sex marriage across the country. And in an anticorruption crusade, he is overseeing the precedent-setting trial of senior political figures in the governing Workers Party for their roles in a vast vote-buying scheme.

   Ascending to Brazil’s high court, much less pushing the institution to assert its independence, long seemed out of reach for Mr. Barbosa, the eldest of eight children raised in Paracatu, an impoverished city in Minas Gerais State, where his father worked as a bricklayer.  

    But his prominence — not just on the court, but in the streets as well — is so well established that masks with his face were sold for Carnival, amateur musicians have composed songs about his handling of the corruption trial and posted them on YouTube, and demonstrators during the huge street protests that shook the nation this year told pollsters that Mr. Barbosa was one of their top choices for president in next year’s elections.

     While the protests have subsided since their height in June, the political tumult they set off persists. The race for president, once considered a shoo-in for the incumbent, Dilma Rousseff, is now up in the air, with Mr. Barbosa — who is now so much in the public eye that gossip columnists are following his romance with a woman in her 20s — repeatedly saying he will not run. “I’m not a candidate for anything,” he says. 

     But the same public glare that has turned him into a celebrity has singed him as well. While he has won widespread admiration for his guidance of the high court, Mr. Barbosa, like almost every other prominent political figure in Brazil, has recently come under scrutiny. And for someone accustomed to criticizing the so-called supersalaries awarded to some members of Brazil’s legal system, the revelations have put Mr. Barbosa on the defensive. 

     One report in the Brazilian news media described how he received about $180,000 in payments for untaken leaves of absence during his 19 years as a public prosecutor. (Such payments are common in some areas of Brazil’s large public bureaucracy.) Another noted that he bought an apartment in Miami through a limited liability company, suggesting an effort to pay less taxes on the property. In statements, Mr. Barbosa contends that he has done nothing wrong. 

     In a country where a majority of people now define themselves as black or of mixed race — but where blacks remain remarkably rare in the highest echelons of political institutions and corporations — Mr. Barbosa’s trajectory and abrupt manner have elicited both widespread admiration and a fair amount of resistance. 

     As a teenager, Mr. Barbosa moved to the capital, Brasília, finding work as a janitor in a courtroom. Against the odds, he got into the University of Brasília, the only black student in its law program at the time. Wanting to see the world, he later won admission into Brazil’s diplomatic service, which promptly sent him to Helsinki, the Finnish capital on the shore of the Baltic Sea. 

     Sensing that he would not advance much in the diplomatic service, which he has called “one of the most discriminatory institutions of Brazil,” Mr. Barbosa opted for a career as a prosecutor. He alternated between legal investigations in Brazil and studies abroad, gaining fluency in English, French and German, and earning a doctorate in law at Pantheon-Assas University in Paris. 

   Fascinated by the legal systems of other countries, Mr. Barbosa wrote a book on affirmative action in the United States. He still voices his admiration for figures like Thurgood Marshall, the first black Supreme Court justice in the United States, and William J. Brennan Jr., who for years embodied the court’s liberal vision, clearly drawing inspiration from them as he pushed Brazil’s high court toward socially liberal rulings.

    Still, no decision has thrust Mr. Barbosa into Brazil’s public imagination as much as his handling of the trial of political operatives, legislators and bankers found guilty in a labyrinthine corruption scandal called the mensalão, or big monthly allowance, after the regular payments made to lawmakers in exchange for their votes. 

    Last November, at Mr. Barbosa’s urging, the high court sentenced some of the most powerful figures in the governing Workers Party to years in prison for their crimes in the scheme, including bribery and unlawful conspiracy, jolting a political system in which impunity for politicians has been the norm.  

     Now the mensalão trial is entering what could be its final phases, and Mr. Barbosa has at times been visibly exasperated that defendants who have already been found guilty and sentenced have managed to avoid hard jail time. He has clashed with other justices over their consideration of a rare legal procedure in which appeals over close votes at the high court are examined. 

     Losing his patience with one prominent justice, Ricardo Lewandowski, who tried to absolve some defendants of certain crimes, Mr. Barbosa publicly accused him this month of “chicanery” by using legalese to prop up certain positions. An outcry ensued among some who could not stomach Mr. Barbosa’s talking to a fellow justice like that. “Who does Justice Joaquim Barbosa think he is?” asked Ricardo Noblat, a columnist for the newspaper O Globo, questioning whether Mr. Barbosa was qualified to preside over the court. “What powers does he think he has just because he’s sitting in the chair of the chief justice of the Supreme Federal Tribunal?” 

      Mr. Barbosa did not apologize. In the interview, he said some tension was necessary for the court to function properly. “It was always like this,” he said, contending that arguments are now just easier to see because the court’s proceedings are televised. 

     Linking the court’s work to the recent wave of protests, he explained that he strongly disagreed with the violence of some demonstrators, but he also said he believed that the street movements were “a sign of democracy’s exuberance.” 

     “People don’t want to passively stand by and observe these arrangements of the elite, which were always the Brazilian tradition,” he said. 

One of the Chief Justice’s positive actions the text mentions was

Dois pulsos transversais, 1 e 2, propagam-se por uma mesma corda elástica, em sentidos opostos, com velocidades escalares constantes e iguais, de módulos 60 cm/s. No instante t = 0, a corda apresenta-se com a configuração representada na figura 1.

Após a superposição desses dois pulsos, a corda se apresentará com a configuração representada na figura 2.

Considerando a superposição apenas desses dois pulsos, a configuração da corda será a representada na figura 2, pela primeira vez, no instante

É verdade que a maioria das estrelas que vemos já não existe mais? Não, elas existem, sim. A luz das estrelas distantes demora milhares de anos para chegar até a Terra, mas, ainda assim, qualquer astro que você enxerga a olho nu está perto demais para ter morrido. Os astros mais brilhantes ficam a míseros 500 anos-luz da Terra. Ou seja, sua luz passa 500 anos viajando antes de ser vista. Se o Cruzeiro do Sul, por exemplo, tivesse surgido no dia em que Cabral aportou no Brasil, seu brilho só apareceria no céu agora. Para um ser humano, que vive em média 80 anos, é um bocado de tempo. Mas para uma estrela, que chega a viver 10 bilhões de anos – como é o caso do Sol –, não é nada. Veja a Eta Carinae. Ela está a 7 500 anos-luz da Terra. Isso quer dizer que seu brilho demora 7 500 anos para chegar aqui. “Mas, estima-se que ela ainda vá viver 400 milênios”, explica à SUPER, o astrônomo, Augusto Daminelli do Instituto Astronômico e Geofísico da Universidade de São Paulo. “Nesse aspecto, a luz é uma tartaruga cósmica”, compara Daminelli.

(Texto adaptado. Revista Superinteressante, no 153, 2000).

Quando se diz que uma determinada estrela está a 1000 anos-luz da terra, o texto se refere à:

Um circuito com 3 resistores iguais é submetido a uma diferença de potencial V entre os pontos A e C, conforme mostra a figura.

Considerações: Os valores de V e R atendem às condições nominais de funcionamento do circuito.

Ao se retirar um dos dois resistores que estão ligados em paralelo, mantidas as demais condições, pode-se afirmar em relação à intensidade da corrente elétrica, na seção do condutor no ponto A, que:

     BRASÍLIA — Brazil’s highest court has long viewed itself as a bastion of manners and formality. Justices call one another “Your Excellency,” dress in billowing robes and wrap each utterance in grandiloquence, as if little had changed from the era when marquises and dukes held sway from their vast plantations.

     In one televised feud, Mr. Barbosa questioned another justice about whether he would even be on the court had he not been appointed by his cousin, a former president impeached in 1992. With another justice, Mr. Barbosa rebuked him over what the chief justice considered his condescending tone, telling him he was not his “capanga,” a term describing a hired thug. 

      In one of his most scathing comments, Mr. Barbosa, the high court’s first and only black justice, took on the entire legal system of Brazil — where it is still remarkably rare for politicians to ever spend time in prison, even after being convicted of crimes — contending that the mentality of judges was “conservative, pro-status-quo and pro-impunity.”

     “I have a temperament that doesn’t adapt well to politics,” Mr. Barbosa, 58, said in a recent interview in his quarters here in the Supreme Federal Tribunal, a modernist landmark designed by the architect Oscar Niemeyer. “It’s because I speak my mind so much.” 

     His acknowledged lack of tact notwithstanding, he is the driving force behind a series of socially liberal and establishment-shaking rulings, turning Brazil’s highest court — and him in particular — into a newfound political power and the subject of popular fascination. 

   The court’s recent rulings include a unanimous decision upholding the University of Brasília’s admissions policies aimed at increasing the number of black and indigenous students, opening the way for one of the Western Hemisphere’s most sweeping affirmative action laws for higher education. 

     In another move, Mr. Barbosa used his sway as chief justice and president of the panel overseeing Brazil’s judiciary to effectively legalize same-sex marriage across the country. And in an anticorruption crusade, he is overseeing the precedent-setting trial of senior political figures in the governing Workers Party for their roles in a vast vote-buying scheme.

   Ascending to Brazil’s high court, much less pushing the institution to assert its independence, long seemed out of reach for Mr. Barbosa, the eldest of eight children raised in Paracatu, an impoverished city in Minas Gerais State, where his father worked as a bricklayer.  

    But his prominence — not just on the court, but in the streets as well — is so well established that masks with his face were sold for Carnival, amateur musicians have composed songs about his handling of the corruption trial and posted them on YouTube, and demonstrators during the huge street protests that shook the nation this year told pollsters that Mr. Barbosa was one of their top choices for president in next year’s elections.

     While the protests have subsided since their height in June, the political tumult they set off persists. The race for president, once considered a shoo-in for the incumbent, Dilma Rousseff, is now up in the air, with Mr. Barbosa — who is now so much in the public eye that gossip columnists are following his romance with a woman in her 20s — repeatedly saying he will not run. “I’m not a candidate for anything,” he says. 

     But the same public glare that has turned him into a celebrity has singed him as well. While he has won widespread admiration for his guidance of the high court, Mr. Barbosa, like almost every other prominent political figure in Brazil, has recently come under scrutiny. And for someone accustomed to criticizing the so-called supersalaries awarded to some members of Brazil’s legal system, the revelations have put Mr. Barbosa on the defensive. 

     One report in the Brazilian news media described how he received about $180,000 in payments for untaken leaves of absence during his 19 years as a public prosecutor. (Such payments are common in some areas of Brazil’s large public bureaucracy.) Another noted that he bought an apartment in Miami through a limited liability company, suggesting an effort to pay less taxes on the property. In statements, Mr. Barbosa contends that he has done nothing wrong. 

     In a country where a majority of people now define themselves as black or of mixed race — but where blacks remain remarkably rare in the highest echelons of political institutions and corporations — Mr. Barbosa’s trajectory and abrupt manner have elicited both widespread admiration and a fair amount of resistance. 

     As a teenager, Mr. Barbosa moved to the capital, Brasília, finding work as a janitor in a courtroom. Against the odds, he got into the University of Brasília, the only black student in its law program at the time. Wanting to see the world, he later won admission into Brazil’s diplomatic service, which promptly sent him to Helsinki, the Finnish capital on the shore of the Baltic Sea. 

     Sensing that he would not advance much in the diplomatic service, which he has called “one of the most discriminatory institutions of Brazil,” Mr. Barbosa opted for a career as a prosecutor. He alternated between legal investigations in Brazil and studies abroad, gaining fluency in English, French and German, and earning a doctorate in law at Pantheon-Assas University in Paris. 

   Fascinated by the legal systems of other countries, Mr. Barbosa wrote a book on affirmative action in the United States. He still voices his admiration for figures like Thurgood Marshall, the first black Supreme Court justice in the United States, and William J. Brennan Jr., who for years embodied the court’s liberal vision, clearly drawing inspiration from them as he pushed Brazil’s high court toward socially liberal rulings.

    Still, no decision has thrust Mr. Barbosa into Brazil’s public imagination as much as his handling of the trial of political operatives, legislators and bankers found guilty in a labyrinthine corruption scandal called the mensalão, or big monthly allowance, after the regular payments made to lawmakers in exchange for their votes. 

    Last November, at Mr. Barbosa’s urging, the high court sentenced some of the most powerful figures in the governing Workers Party to years in prison for their crimes in the scheme, including bribery and unlawful conspiracy, jolting a political system in which impunity for politicians has been the norm.  

     Now the mensalão trial is entering what could be its final phases, and Mr. Barbosa has at times been visibly exasperated that defendants who have already been found guilty and sentenced have managed to avoid hard jail time. He has clashed with other justices over their consideration of a rare legal procedure in which appeals over close votes at the high court are examined. 

     Losing his patience with one prominent justice, Ricardo Lewandowski, who tried to absolve some defendants of certain crimes, Mr. Barbosa publicly accused him this month of “chicanery” by using legalese to prop up certain positions. An outcry ensued among some who could not stomach Mr. Barbosa’s talking to a fellow justice like that. “Who does Justice Joaquim Barbosa think he is?” asked Ricardo Noblat, a columnist for the newspaper O Globo, questioning whether Mr. Barbosa was qualified to preside over the court. “What powers does he think he has just because he’s sitting in the chair of the chief justice of the Supreme Federal Tribunal?” 

      Mr. Barbosa did not apologize. In the interview, he said some tension was necessary for the court to function properly. “It was always like this,” he said, contending that arguments are now just easier to see because the court’s proceedings are televised. 

     Linking the court’s work to the recent wave of protests, he explained that he strongly disagreed with the violence of some demonstrators, but he also said he believed that the street movements were “a sign of democracy’s exuberance.” 

     “People don’t want to passively stand by and observe these arrangements of the elite, which were always the Brazilian tradition,” he said. 

One of the reasons Mr. Barbosa got very irritated was the fact that some of the mensalão defendants

A figura abaixo representa o esquema de um transformador abaixador, com a razão N1 / N2 igual a 10 (dez), utilizado para diminuir a tensão elétrica, fornecida a um circuito.

Um usuário do circuito utiliza uma bateria de veículo (portanto tensão contínua) e alimenta o primário do transformador (V1) com uma tensão elétrica de 12 V. Considerando que o circuito suporte a tensão aplicada e que a condição de transitoriedade do circuito esteja superada, pode-se afirmar em relação à tensão V2 que:

A figura representa o esquema de ligação dos faróis de um automóvel à bateria do veículo. O circuito é constituído por: duas lâmpadas de 12 V – 60 W cada uma; uma chave de acionamento e um fusível de proteção, ambos de resistências desprezíveis; e fios de ligação e conectores, também ideais.

Se os dois faróis estiverem acesos, das opções indicadas nas alternativas, aquela que corresponde à menor amperagem do fusível capaz de proteger esse circuito é

     BRASÍLIA — Brazil’s highest court has long viewed itself as a bastion of manners and formality. Justices call one another “Your Excellency,” dress in billowing robes and wrap each utterance in grandiloquence, as if little had changed from the era when marquises and dukes held sway from their vast plantations.

     In one televised feud, Mr. Barbosa questioned another justice about whether he would even be on the court had he not been appointed by his cousin, a former president impeached in 1992. With another justice, Mr. Barbosa rebuked him over what the chief justice considered his condescending tone, telling him he was not his “capanga,” a term describing a hired thug. 

      In one of his most scathing comments, Mr. Barbosa, the high court’s first and only black justice, took on the entire legal system of Brazil — where it is still remarkably rare for politicians to ever spend time in prison, even after being convicted of crimes — contending that the mentality of judges was “conservative, pro-status-quo and pro-impunity.”

     “I have a temperament that doesn’t adapt well to politics,” Mr. Barbosa, 58, said in a recent interview in his quarters here in the Supreme Federal Tribunal, a modernist landmark designed by the architect Oscar Niemeyer. “It’s because I speak my mind so much.” 

     His acknowledged lack of tact notwithstanding, he is the driving force behind a series of socially liberal and establishment-shaking rulings, turning Brazil’s highest court — and him in particular — into a newfound political power and the subject of popular fascination. 

   The court’s recent rulings include a unanimous decision upholding the University of Brasília’s admissions policies aimed at increasing the number of black and indigenous students, opening the way for one of the Western Hemisphere’s most sweeping affirmative action laws for higher education. 

     In another move, Mr. Barbosa used his sway as chief justice and president of the panel overseeing Brazil’s judiciary to effectively legalize same-sex marriage across the country. And in an anticorruption crusade, he is overseeing the precedent-setting trial of senior political figures in the governing Workers Party for their roles in a vast vote-buying scheme.

   Ascending to Brazil’s high court, much less pushing the institution to assert its independence, long seemed out of reach for Mr. Barbosa, the eldest of eight children raised in Paracatu, an impoverished city in Minas Gerais State, where his father worked as a bricklayer.  

    But his prominence — not just on the court, but in the streets as well — is so well established that masks with his face were sold for Carnival, amateur musicians have composed songs about his handling of the corruption trial and posted them on YouTube, and demonstrators during the huge street protests that shook the nation this year told pollsters that Mr. Barbosa was one of their top choices for president in next year’s elections.

     While the protests have subsided since their height in June, the political tumult they set off persists. The race for president, once considered a shoo-in for the incumbent, Dilma Rousseff, is now up in the air, with Mr. Barbosa — who is now so much in the public eye that gossip columnists are following his romance with a woman in her 20s — repeatedly saying he will not run. “I’m not a candidate for anything,” he says. 

     But the same public glare that has turned him into a celebrity has singed him as well. While he has won widespread admiration for his guidance of the high court, Mr. Barbosa, like almost every other prominent political figure in Brazil, has recently come under scrutiny. And for someone accustomed to criticizing the so-called supersalaries awarded to some members of Brazil’s legal system, the revelations have put Mr. Barbosa on the defensive. 

     One report in the Brazilian news media described how he received about $180,000 in payments for untaken leaves of absence during his 19 years as a public prosecutor. (Such payments are common in some areas of Brazil’s large public bureaucracy.) Another noted that he bought an apartment in Miami through a limited liability company, suggesting an effort to pay less taxes on the property. In statements, Mr. Barbosa contends that he has done nothing wrong. 

     In a country where a majority of people now define themselves as black or of mixed race — but where blacks remain remarkably rare in the highest echelons of political institutions and corporations — Mr. Barbosa’s trajectory and abrupt manner have elicited both widespread admiration and a fair amount of resistance. 

     As a teenager, Mr. Barbosa moved to the capital, Brasília, finding work as a janitor in a courtroom. Against the odds, he got into the University of Brasília, the only black student in its law program at the time. Wanting to see the world, he later won admission into Brazil’s diplomatic service, which promptly sent him to Helsinki, the Finnish capital on the shore of the Baltic Sea. 

     Sensing that he would not advance much in the diplomatic service, which he has called “one of the most discriminatory institutions of Brazil,” Mr. Barbosa opted for a career as a prosecutor. He alternated between legal investigations in Brazil and studies abroad, gaining fluency in English, French and German, and earning a doctorate in law at Pantheon-Assas University in Paris. 

   Fascinated by the legal systems of other countries, Mr. Barbosa wrote a book on affirmative action in the United States. He still voices his admiration for figures like Thurgood Marshall, the first black Supreme Court justice in the United States, and William J. Brennan Jr., who for years embodied the court’s liberal vision, clearly drawing inspiration from them as he pushed Brazil’s high court toward socially liberal rulings.

    Still, no decision has thrust Mr. Barbosa into Brazil’s public imagination as much as his handling of the trial of political operatives, legislators and bankers found guilty in a labyrinthine corruption scandal called the mensalão, or big monthly allowance, after the regular payments made to lawmakers in exchange for their votes. 

    Last November, at Mr. Barbosa’s urging, the high court sentenced some of the most powerful figures in the governing Workers Party to years in prison for their crimes in the scheme, including bribery and unlawful conspiracy, jolting a political system in which impunity for politicians has been the norm.  

     Now the mensalão trial is entering what could be its final phases, and Mr. Barbosa has at times been visibly exasperated that defendants who have already been found guilty and sentenced have managed to avoid hard jail time. He has clashed with other justices over their consideration of a rare legal procedure in which appeals over close votes at the high court are examined. 

     Losing his patience with one prominent justice, Ricardo Lewandowski, who tried to absolve some defendants of certain crimes, Mr. Barbosa publicly accused him this month of “chicanery” by using legalese to prop up certain positions. An outcry ensued among some who could not stomach Mr. Barbosa’s talking to a fellow justice like that. “Who does Justice Joaquim Barbosa think he is?” asked Ricardo Noblat, a columnist for the newspaper O Globo, questioning whether Mr. Barbosa was qualified to preside over the court. “What powers does he think he has just because he’s sitting in the chair of the chief justice of the Supreme Federal Tribunal?” 

      Mr. Barbosa did not apologize. In the interview, he said some tension was necessary for the court to function properly. “It was always like this,” he said, contending that arguments are now just easier to see because the court’s proceedings are televised. 

     Linking the court’s work to the recent wave of protests, he explained that he strongly disagreed with the violence of some demonstrators, but he also said he believed that the street movements were “a sign of democracy’s exuberance.” 

     “People don’t want to passively stand by and observe these arrangements of the elite, which were always the Brazilian tradition,” he said. 

Despite his rude manner, Mr. Barbosa is praised for some important rulings, like helping to

Numa pista circular de diâmetro 200 m, duas pessoas se deslocam no mesmo sentido, partindo de pontos simétricos em relação ao centro da pista, portanto, diametralmente, opostos. A primeira pessoa parte com velocidade angular constante de 0,02 rad/s, e a segunda parte, simultaneamente, com velocidade escalar constante de 3 m/s.

Uma pessoa alcançará a outra em (use igual a 3)

Uma espira metálica retangular ABCD, de área constante, está totalmente imersa em um campo magnético uniforme horizontal criado na região entre dois polos magnéticos norte e sul, como representado na figura. Inicialmente, a espira está em repouso em um plano vertical perpendicular às linhas de indução do campo magnético.

Suponha que a espira gire 90º no sentido anti-horário, em torno de um eixo vertical, nesse campo magnético. Enquanto isso acontece,

Durante o século IV, a velocidade da expansão do cristianismo aumentou muito, especialmente nas cidades [romanas]. As antigas crenças continuaram existindo, mas o número de fiéis diminuiu muito. Os cristãos passaram a chamar os adeptos das outras religiões de pagãos e, em algumas ocasiões, se dedicaram a destruir seus templos e as estátuas dos deuses antigos.

Isso não significa que as religiões tenham vivido em conflito. O cristianismo tomou diversas ideias e características do paganismo para si. Os livros escritos no início do Império e na época da República eram considerados obras-primas da literatura, e mesmo os que falavam de outros deuses eram lidos e apreciados pelos cristãos.

(Carlos Augusto Ribeiro Machado. Roma e seu império, 2004. Adaptado.)

Segundo o texto, a ascensão do cristianismo na Roma Antiga

     BRASÍLIA — Brazil’s highest court has long viewed itself as a bastion of manners and formality. Justices call one another “Your Excellency,” dress in billowing robes and wrap each utterance in grandiloquence, as if little had changed from the era when marquises and dukes held sway from their vast plantations.

     In one televised feud, Mr. Barbosa questioned another justice about whether he would even be on the court had he not been appointed by his cousin, a former president impeached in 1992. With another justice, Mr. Barbosa rebuked him over what the chief justice considered his condescending tone, telling him he was not his “capanga,” a term describing a hired thug. 

      In one of his most scathing comments, Mr. Barbosa, the high court’s first and only black justice, took on the entire legal system of Brazil — where it is still remarkably rare for politicians to ever spend time in prison, even after being convicted of crimes — contending that the mentality of judges was “conservative, pro-status-quo and pro-impunity.”

     “I have a temperament that doesn’t adapt well to politics,” Mr. Barbosa, 58, said in a recent interview in his quarters here in the Supreme Federal Tribunal, a modernist landmark designed by the architect Oscar Niemeyer. “It’s because I speak my mind so much.” 

     His acknowledged lack of tact notwithstanding, he is the driving force behind a series of socially liberal and establishment-shaking rulings, turning Brazil’s highest court — and him in particular — into a newfound political power and the subject of popular fascination. 

   The court’s recent rulings include a unanimous decision upholding the University of Brasília’s admissions policies aimed at increasing the number of black and indigenous students, opening the way for one of the Western Hemisphere’s most sweeping affirmative action laws for higher education. 

     In another move, Mr. Barbosa used his sway as chief justice and president of the panel overseeing Brazil’s judiciary to effectively legalize same-sex marriage across the country. And in an anticorruption crusade, he is overseeing the precedent-setting trial of senior political figures in the governing Workers Party for their roles in a vast vote-buying scheme.

   Ascending to Brazil’s high court, much less pushing the institution to assert its independence, long seemed out of reach for Mr. Barbosa, the eldest of eight children raised in Paracatu, an impoverished city in Minas Gerais State, where his father worked as a bricklayer.  

    But his prominence — not just on the court, but in the streets as well — is so well established that masks with his face were sold for Carnival, amateur musicians have composed songs about his handling of the corruption trial and posted them on YouTube, and demonstrators during the huge street protests that shook the nation this year told pollsters that Mr. Barbosa was one of their top choices for president in next year’s elections.

     While the protests have subsided since their height in June, the political tumult they set off persists. The race for president, once considered a shoo-in for the incumbent, Dilma Rousseff, is now up in the air, with Mr. Barbosa — who is now so much in the public eye that gossip columnists are following his romance with a woman in her 20s — repeatedly saying he will not run. “I’m not a candidate for anything,” he says. 

     But the same public glare that has turned him into a celebrity has singed him as well. While he has won widespread admiration for his guidance of the high court, Mr. Barbosa, like almost every other prominent political figure in Brazil, has recently come under scrutiny. And for someone accustomed to criticizing the so-called supersalaries awarded to some members of Brazil’s legal system, the revelations have put Mr. Barbosa on the defensive. 

     One report in the Brazilian news media described how he received about $180,000 in payments for untaken leaves of absence during his 19 years as a public prosecutor. (Such payments are common in some areas of Brazil’s large public bureaucracy.) Another noted that he bought an apartment in Miami through a limited liability company, suggesting an effort to pay less taxes on the property. In statements, Mr. Barbosa contends that he has done nothing wrong. 

     In a country where a majority of people now define themselves as black or of mixed race — but where blacks remain remarkably rare in the highest echelons of political institutions and corporations — Mr. Barbosa’s trajectory and abrupt manner have elicited both widespread admiration and a fair amount of resistance. 

     As a teenager, Mr. Barbosa moved to the capital, Brasília, finding work as a janitor in a courtroom. Against the odds, he got into the University of Brasília, the only black student in its law program at the time. Wanting to see the world, he later won admission into Brazil’s diplomatic service, which promptly sent him to Helsinki, the Finnish capital on the shore of the Baltic Sea. 

     Sensing that he would not advance much in the diplomatic service, which he has called “one of the most discriminatory institutions of Brazil,” Mr. Barbosa opted for a career as a prosecutor. He alternated between legal investigations in Brazil and studies abroad, gaining fluency in English, French and German, and earning a doctorate in law at Pantheon-Assas University in Paris. 

   Fascinated by the legal systems of other countries, Mr. Barbosa wrote a book on affirmative action in the United States. He still voices his admiration for figures like Thurgood Marshall, the first black Supreme Court justice in the United States, and William J. Brennan Jr., who for years embodied the court’s liberal vision, clearly drawing inspiration from them as he pushed Brazil’s high court toward socially liberal rulings.

    Still, no decision has thrust Mr. Barbosa into Brazil’s public imagination as much as his handling of the trial of political operatives, legislators and bankers found guilty in a labyrinthine corruption scandal called the mensalão, or big monthly allowance, after the regular payments made to lawmakers in exchange for their votes. 

    Last November, at Mr. Barbosa’s urging, the high court sentenced some of the most powerful figures in the governing Workers Party to years in prison for their crimes in the scheme, including bribery and unlawful conspiracy, jolting a political system in which impunity for politicians has been the norm.  

     Now the mensalão trial is entering what could be its final phases, and Mr. Barbosa has at times been visibly exasperated that defendants who have already been found guilty and sentenced have managed to avoid hard jail time. He has clashed with other justices over their consideration of a rare legal procedure in which appeals over close votes at the high court are examined. 

     Losing his patience with one prominent justice, Ricardo Lewandowski, who tried to absolve some defendants of certain crimes, Mr. Barbosa publicly accused him this month of “chicanery” by using legalese to prop up certain positions. An outcry ensued among some who could not stomach Mr. Barbosa’s talking to a fellow justice like that. “Who does Justice Joaquim Barbosa think he is?” asked Ricardo Noblat, a columnist for the newspaper O Globo, questioning whether Mr. Barbosa was qualified to preside over the court. “What powers does he think he has just because he’s sitting in the chair of the chief justice of the Supreme Federal Tribunal?” 

      Mr. Barbosa did not apologize. In the interview, he said some tension was necessary for the court to function properly. “It was always like this,” he said, contending that arguments are now just easier to see because the court’s proceedings are televised. 

     Linking the court’s work to the recent wave of protests, he explained that he strongly disagreed with the violence of some demonstrators, but he also said he believed that the street movements were “a sign of democracy’s exuberance.” 

     “People don’t want to passively stand by and observe these arrangements of the elite, which were always the Brazilian tradition,” he said. 

Besides being the subject of public fascination for his crusade against corruption, the Chief Justice is also known for

     BRASÍLIA — Brazil’s highest court has long viewed itself as a bastion of manners and formality. Justices call one another “Your Excellency,” dress in billowing robes and wrap each utterance in grandiloquence, as if little had changed from the era when marquises and dukes held sway from their vast plantations.

     In one televised feud, Mr. Barbosa questioned another justice about whether he would even be on the court had he not been appointed by his cousin, a former president impeached in 1992. With another justice, Mr. Barbosa rebuked him over what the chief justice considered his condescending tone, telling him he was not his “capanga,” a term describing a hired thug. 

      In one of his most scathing comments, Mr. Barbosa, the high court’s first and only black justice, took on the entire legal system of Brazil — where it is still remarkably rare for politicians to ever spend time in prison, even after being convicted of crimes — contending that the mentality of judges was “conservative, pro-status-quo and pro-impunity.”

     “I have a temperament that doesn’t adapt well to politics,” Mr. Barbosa, 58, said in a recent interview in his quarters here in the Supreme Federal Tribunal, a modernist landmark designed by the architect Oscar Niemeyer. “It’s because I speak my mind so much.” 

     His acknowledged lack of tact notwithstanding, he is the driving force behind a series of socially liberal and establishment-shaking rulings, turning Brazil’s highest court — and him in particular — into a newfound political power and the subject of popular fascination. 

   The court’s recent rulings include a unanimous decision upholding the University of Brasília’s admissions policies aimed at increasing the number of black and indigenous students, opening the way for one of the Western Hemisphere’s most sweeping affirmative action laws for higher education. 

     In another move, Mr. Barbosa used his sway as chief justice and president of the panel overseeing Brazil’s judiciary to effectively legalize same-sex marriage across the country. And in an anticorruption crusade, he is overseeing the precedent-setting trial of senior political figures in the governing Workers Party for their roles in a vast vote-buying scheme.

   Ascending to Brazil’s high court, much less pushing the institution to assert its independence, long seemed out of reach for Mr. Barbosa, the eldest of eight children raised in Paracatu, an impoverished city in Minas Gerais State, where his father worked as a bricklayer.  

    But his prominence — not just on the court, but in the streets as well — is so well established that masks with his face were sold for Carnival, amateur musicians have composed songs about his handling of the corruption trial and posted them on YouTube, and demonstrators during the huge street protests that shook the nation this year told pollsters that Mr. Barbosa was one of their top choices for president in next year’s elections.

     While the protests have subsided since their height in June, the political tumult they set off persists. The race for president, once considered a shoo-in for the incumbent, Dilma Rousseff, is now up in the air, with Mr. Barbosa — who is now so much in the public eye that gossip columnists are following his romance with a woman in her 20s — repeatedly saying he will not run. “I’m not a candidate for anything,” he says. 

     But the same public glare that has turned him into a celebrity has singed him as well. While he has won widespread admiration for his guidance of the high court, Mr. Barbosa, like almost every other prominent political figure in Brazil, has recently come under scrutiny. And for someone accustomed to criticizing the so-called supersalaries awarded to some members of Brazil’s legal system, the revelations have put Mr. Barbosa on the defensive. 

     One report in the Brazilian news media described how he received about $180,000 in payments for untaken leaves of absence during his 19 years as a public prosecutor. (Such payments are common in some areas of Brazil’s large public bureaucracy.) Another noted that he bought an apartment in Miami through a limited liability company, suggesting an effort to pay less taxes on the property. In statements, Mr. Barbosa contends that he has done nothing wrong. 

     In a country where a majority of people now define themselves as black or of mixed race — but where blacks remain remarkably rare in the highest echelons of political institutions and corporations — Mr. Barbosa’s trajectory and abrupt manner have elicited both widespread admiration and a fair amount of resistance. 

     As a teenager, Mr. Barbosa moved to the capital, Brasília, finding work as a janitor in a courtroom. Against the odds, he got into the University of Brasília, the only black student in its law program at the time. Wanting to see the world, he later won admission into Brazil’s diplomatic service, which promptly sent him to Helsinki, the Finnish capital on the shore of the Baltic Sea. 

     Sensing that he would not advance much in the diplomatic service, which he has called “one of the most discriminatory institutions of Brazil,” Mr. Barbosa opted for a career as a prosecutor. He alternated between legal investigations in Brazil and studies abroad, gaining fluency in English, French and German, and earning a doctorate in law at Pantheon-Assas University in Paris. 

   Fascinated by the legal systems of other countries, Mr. Barbosa wrote a book on affirmative action in the United States. He still voices his admiration for figures like Thurgood Marshall, the first black Supreme Court justice in the United States, and William J. Brennan Jr., who for years embodied the court’s liberal vision, clearly drawing inspiration from them as he pushed Brazil’s high court toward socially liberal rulings.

    Still, no decision has thrust Mr. Barbosa into Brazil’s public imagination as much as his handling of the trial of political operatives, legislators and bankers found guilty in a labyrinthine corruption scandal called the mensalão, or big monthly allowance, after the regular payments made to lawmakers in exchange for their votes. 

    Last November, at Mr. Barbosa’s urging, the high court sentenced some of the most powerful figures in the governing Workers Party to years in prison for their crimes in the scheme, including bribery and unlawful conspiracy, jolting a political system in which impunity for politicians has been the norm.  

     Now the mensalão trial is entering what could be its final phases, and Mr. Barbosa has at times been visibly exasperated that defendants who have already been found guilty and sentenced have managed to avoid hard jail time. He has clashed with other justices over their consideration of a rare legal procedure in which appeals over close votes at the high court are examined. 

     Losing his patience with one prominent justice, Ricardo Lewandowski, who tried to absolve some defendants of certain crimes, Mr. Barbosa publicly accused him this month of “chicanery” by using legalese to prop up certain positions. An outcry ensued among some who could not stomach Mr. Barbosa’s talking to a fellow justice like that. “Who does Justice Joaquim Barbosa think he is?” asked Ricardo Noblat, a columnist for the newspaper O Globo, questioning whether Mr. Barbosa was qualified to preside over the court. “What powers does he think he has just because he’s sitting in the chair of the chief justice of the Supreme Federal Tribunal?” 

      Mr. Barbosa did not apologize. In the interview, he said some tension was necessary for the court to function properly. “It was always like this,” he said, contending that arguments are now just easier to see because the court’s proceedings are televised. 

     Linking the court’s work to the recent wave of protests, he explained that he strongly disagreed with the violence of some demonstrators, but he also said he believed that the street movements were “a sign of democracy’s exuberance.” 

     “People don’t want to passively stand by and observe these arrangements of the elite, which were always the Brazilian tradition,” he said. 

The sentences “he explained that he strongly disagreed with the violence of some demonstrators,” “In one of his most scathing comments, Mr. Barbosa, the high court’s first and only black justice, took on the entire legal system of Brazil […] contending that the mentality of judges was ‘conservative, pro-status-quo and pro-impunity,’ ” and “In the interview, he said some tension was necessary for the court to function properly” contain, respectively, a/an