Questõesde FATEC 2019
O tether consiste em dois objetos fixos nas duas extremidades de um cabo. A pesquisadora brasileira
Alessandra F. S. Ferreira, da Unesp de Guaratinguetá (SP), foi agraciada com o prêmio Mario Grossi no evento
internacional Tether in Space 2019 (em Madrid). Em seu estudo, ela propôs a aplicação de um cabo fino e rígido de
100 km de comprimento com uma ponta ancorada na superfície de um corpo celeste, como um asteroide por exemplo.
A outra ponta estará ancorada em um veículo espacial, conforme apresentado na figura. Assim, a técnica poderá ser
utilizada para economizar energia e aumentar o impulso em viagens espaciais mais longas.
Obs.: Imagem fora de escala.
Uma espaçonave de 100 toneladas, navegando a uma velocidade tangencial aproximada de 28,8 mil km/h, acopla-se ao cabo
citado de 100 km de extensão ancorado em um asteroide (considerado aqui como um ponto material em repouso).
Assumindo que a massa do cabo seja desprezível em relação ao sistema, podemos afirmar, corretamente, que a força
centrípeta aplicada na extremidade do cabo ligada ao veículo espacial, em newtons, é
Lembre-se de que
ac = V2 / R

Uma empresa trabalha com fretamento de ônibus para o litoral. O valor cobrado por passageiro, no caso dos 50 lugares
disponíveis serem todos ocupados, é de R$ 40,00. No caso de não ocorrer a lotação máxima, cada passageiro deverá pagar
R$ 2,00 a mais por assento vazio.
O valor máximo arrecadado por essa empresa, numa dessas viagens, é
Um tanque de combustível contém 50 litros de uma mistura de gasolina e álcool na razão 2:3, nessa ordem.
Deseja-se acrescentar à mistura N litros de álcool para que a razão de gasolina e álcool, nessa ordem, passe a ser 1:3.
Assim, o valor N é
Um aprendiz de feiticeiro, numa experiência investigativa, tem a sua disposição cinco substâncias distintas entre as quais
deverá escolher três distintas para fazer uma poção. No entanto, duas dessas cinco substâncias, quando misturadas,
anulam qualquer efeito reativo.
A probabilidade do aprendiz obter uma poção sem efeito reativo é
Na figura temos um mapa onde se localiza a Praça Tales de Mileto. A prefeitura pretende cobri-la completamente com grama.
Considere retilíneos esses
trechos de ruas e avenidas

Admita que a medida do ângulo agudo formado entre a Rua Fibonacci e a Avenida Descartes é igual a 60º, e que a Avenida
Bhaskara é paralela à Avenida Descartes.
Nessas condições, o total da área a ser gramada é, em metros quadrados, igual a
Na figura temos um mapa onde se localiza a Praça Tales de Mileto. A prefeitura pretende cobri-la completamente com grama.
Considere retilíneos esses trechos de ruas e avenidas
Admita que a medida do ângulo agudo formado entre a Rua Fibonacci e a Avenida Descartes é igual a 60º, e que a Avenida Bhaskara é paralela à Avenida Descartes.
Nessas condições, o total da área a ser gramada é, em metros quadrados, igual a
Considere o gráfico de velocidade vertical por tempo

Considerando-se um sistema de referência ideal orientado de cima para baixo, podemos associar o gráfico ao movimento
aproximado de
Considere o gráfico de velocidade vertical por tempo
Considerando-se um sistema de referência ideal orientado de cima para baixo, podemos associar o gráfico ao movimento
aproximado de
A diretora do grupo Runnymede acredita que o panorama descrito
Leia o texto para responder a questão.
Minority ethnic Britons face ‘shocking’ job discrimination
Haroon Siddique
Thu 17 Jan 2019 17.00 GMT Last modified on Fri 18 Jan 2019 00.50 GMT
A study by experts based at the Centre for Social Investigation at Nuffield College, University of Oxford, found applicants from minority ethnic backgrounds had to send 80% more applications to get a positive response from an employer than a white person of British origin.
A linked study by the same researchers, comparing their results with similar field experiments dating back to 1969, found discrimination against black Britons and those of south Asian origin – particularly Pakistanis – unchanged over almost 50 years.
The research, part of a larger cross-national project funded by the European Union and shared exclusively with the Guardian before its official launch, prompted concerns that race relations legislation had failed.
It echoes findings published as part of the Guardian’s Bias in Britain series that people from minority ethnic backgrounds face discrimination when seeking a room to rent. In a snapshot survey of online flatshare ads the Guardian found that an applicant called Muhammad was significantly less likely to receive a positive response than an applicant called David.
Prof Anthony Heath, co-author and emeritus fellow of Nuffield College, said: “The absence of any real decline in discrimination against black British and people of Pakistani background is a disturbing finding, which calls into question the effectiveness of previous policies. Ethnic inequality remains a burning injustice and there needs to be a radical rethink about how to tackle it.”
Dr Zubaida Haque, the deputy director of the race equality thinktank Runnymede, described the findings as shocking. They demonstrated that “it’s not just covert racism or unconscious bias that we need to worry about; it’s overt and conscious racism, where applicants are getting shortlisted on the basis of their ethnicity and/or name”, she said.
“It’s clear that race relations legislation is not sufficient to hold employers to account. There are no real consequences for employers of racially discriminating in subtle ways, but for BME* applicants or employees it means higher unemployment, lower wages, poorer conditions and less security in work and life.”
Segundo o texto, estudos indicam que a discriminação está
presente tanto na busca por emprego, quanto
Leia o texto para responder a questão.
Minority ethnic Britons face ‘shocking’ job discrimination
Haroon Siddique
Thu 17 Jan 2019 17.00 GMT Last modified on Fri 18 Jan 2019 00.50 GMT
A study by experts based at the Centre for Social Investigation at Nuffield College, University of Oxford, found applicants from minority ethnic backgrounds had to send 80% more applications to get a positive response from an employer than a white person of British origin.
A linked study by the same researchers, comparing their results with similar field experiments dating back to 1969, found discrimination against black Britons and those of south Asian origin – particularly Pakistanis – unchanged over almost 50 years.
The research, part of a larger cross-national project funded by the European Union and shared exclusively with the Guardian before its official launch, prompted concerns that race relations legislation had failed.
It echoes findings published as part of the Guardian’s Bias in Britain series that people from minority ethnic backgrounds face discrimination when seeking a room to rent. In a snapshot survey of online flatshare ads the Guardian found that an applicant called Muhammad was significantly less likely to receive a positive response than an applicant called David.
Prof Anthony Heath, co-author and emeritus fellow of Nuffield College, said: “The absence of any real decline in discrimination against black British and people of Pakistani background is a disturbing finding, which calls into question the effectiveness of previous policies. Ethnic inequality remains a burning injustice and there needs to be a radical rethink about how to tackle it.”
Dr Zubaida Haque, the deputy director of the race equality thinktank Runnymede, described the findings as shocking. They demonstrated that “it’s not just covert racism or unconscious bias that we need to worry about; it’s overt and conscious racism, where applicants are getting shortlisted on the basis of their ethnicity and/or name”, she said.
“It’s clear that race relations legislation is not sufficient to hold employers to account. There are no real consequences for employers of racially discriminating in subtle ways, but for BME* applicants or employees it means higher unemployment, lower wages, poorer conditions and less security in work and life.”
De acordo com o Professor Anthony Heath, o que causa
surpresa em relação à pesquisa apresentada é que
Leia o texto para responder a questão.
Minority ethnic Britons face ‘shocking’ job discrimination
Haroon Siddique
Thu 17 Jan 2019 17.00 GMT Last modified on Fri 18 Jan 2019 00.50 GMT
A study by experts based at the Centre for Social Investigation at Nuffield College, University of Oxford, found applicants from minority ethnic backgrounds had to send 80% more applications to get a positive response from an employer than a white person of British origin.
A linked study by the same researchers, comparing their results with similar field experiments dating back to 1969, found discrimination against black Britons and those of south Asian origin – particularly Pakistanis – unchanged over almost 50 years.
The research, part of a larger cross-national project funded by the European Union and shared exclusively with the Guardian before its official launch, prompted concerns that race relations legislation had failed.
It echoes findings published as part of the Guardian’s Bias in Britain series that people from minority ethnic backgrounds face discrimination when seeking a room to rent. In a snapshot survey of online flatshare ads the Guardian found that an applicant called Muhammad was significantly less likely to receive a positive response than an applicant called David.
Prof Anthony Heath, co-author and emeritus fellow of Nuffield College, said: “The absence of any real decline in discrimination against black British and people of Pakistani background is a disturbing finding, which calls into question the effectiveness of previous policies. Ethnic inequality remains a burning injustice and there needs to be a radical rethink about how to tackle it.”
Dr Zubaida Haque, the deputy director of the race equality thinktank Runnymede, described the findings as shocking. They demonstrated that “it’s not just covert racism or unconscious bias that we need to worry about; it’s overt and conscious racism, where applicants are getting shortlisted on the basis of their ethnicity and/or name”, she said.
“It’s clear that race relations legislation is not sufficient to hold employers to account. There are no real consequences for employers of racially discriminating in subtle ways, but for BME* applicants or employees it means higher unemployment, lower wages, poorer conditions and less security in work and life.”
Segundo a fala da Dra. Zubaida Haque, o mais preocupante é
Leia o texto para responder a questão.
Minority ethnic Britons face ‘shocking’ job discrimination
Haroon Siddique
Thu 17 Jan 2019 17.00 GMT Last modified on Fri 18 Jan 2019 00.50 GMT
A study by experts based at the Centre for Social Investigation at Nuffield College, University of Oxford, found applicants from minority ethnic backgrounds had to send 80% more applications to get a positive response from an employer than a white person of British origin.
A linked study by the same researchers, comparing their results with similar field experiments dating back to 1969, found discrimination against black Britons and those of south Asian origin – particularly Pakistanis – unchanged over almost 50 years.
The research, part of a larger cross-national project funded by the European Union and shared exclusively with the Guardian before its official launch, prompted concerns that race relations legislation had failed.
It echoes findings published as part of the Guardian’s Bias in Britain series that people from minority ethnic backgrounds face discrimination when seeking a room to rent. In a snapshot survey of online flatshare ads the Guardian found that an applicant called Muhammad was significantly less likely to receive a positive response than an applicant called David.
Prof Anthony Heath, co-author and emeritus fellow of Nuffield College, said: “The absence of any real decline in discrimination against black British and people of Pakistani background is a disturbing finding, which calls into question the effectiveness of previous policies. Ethnic inequality remains a burning injustice and there needs to be a radical rethink about how to tackle it.”
Dr Zubaida Haque, the deputy director of the race equality thinktank Runnymede, described the findings as shocking. They demonstrated that “it’s not just covert racism or unconscious bias that we need to worry about; it’s overt and conscious racism, where applicants are getting shortlisted on the basis of their ethnicity and/or name”, she said.
“It’s clear that race relations legislation is not sufficient to hold employers to account. There are no real consequences for employers of racially discriminating in subtle ways, but for BME* applicants or employees it means higher unemployment, lower wages, poorer conditions and less security in work and life.”
Na equação 3, as ligações químicas I, II, III e IV, formadas
no trecho da cadeia do slime, são denominadas




Na equação 2, o nome da reação química que ocorre entre o PVAc e a água e o nome da função orgânica a que pertence o
composto X, formado na reação, são, respectivamente,




O estudo mencionado no texto aponta para a discriminação
racial de
Leia o texto para responder a questão.
Minority ethnic Britons face ‘shocking’ job discrimination
Haroon Siddique
Thu 17 Jan 2019 17.00 GMT Last modified on Fri 18 Jan 2019 00.50 GMT
A study by experts based at the Centre for Social Investigation at Nuffield College, University of Oxford, found applicants from minority ethnic backgrounds had to send 80% more applications to get a positive response from an employer than a white person of British origin.
A linked study by the same researchers, comparing their results with similar field experiments dating back to 1969, found discrimination against black Britons and those of south Asian origin – particularly Pakistanis – unchanged over almost 50 years.
The research, part of a larger cross-national project funded by the European Union and shared exclusively with the Guardian before its official launch, prompted concerns that race relations legislation had failed.
It echoes findings published as part of the Guardian’s Bias in Britain series that people from minority ethnic backgrounds face discrimination when seeking a room to rent. In a snapshot survey of online flatshare ads the Guardian found that an applicant called Muhammad was significantly less likely to receive a positive response than an applicant called David.
Prof Anthony Heath, co-author and emeritus fellow of Nuffield College, said: “The absence of any real decline in discrimination against black British and people of Pakistani background is a disturbing finding, which calls into question the effectiveness of previous policies. Ethnic inequality remains a burning injustice and there needs to be a radical rethink about how to tackle it.”
Dr Zubaida Haque, the deputy director of the race equality thinktank Runnymede, described the findings as shocking. They demonstrated that “it’s not just covert racism or unconscious bias that we need to worry about; it’s overt and conscious racism, where applicants are getting shortlisted on the basis of their ethnicity and/or name”, she said.
“It’s clear that race relations legislation is not sufficient to hold employers to account. There are no real consequences for employers of racially discriminating in subtle ways, but for BME* applicants or employees it means higher unemployment, lower wages, poorer conditions and less security in work and life.”
Assinale a alternativa que contém a equação química balanceada que representa, corretamente, a reação que ocorre entre
o ácido bórico e o bicarbonato de sódio.




H3BO3 + Na3HCO3 → Na3BO3 + H2O + CO2
H3BO3 + 3 NaHCO3 → Na3BO3 + H2O + CO2
H3BO3 + 3 NaHCO3 → Na3BO3 + 3 H2O + 3 CO2
H3BO2 + 3 NaHCO3 → Na3BO2 + 3 H2O + 3 CO2
H2BO2 + 2 NaHCO3 → Na2BO2 + 2 H2O + 2 CO2
A interação entre os íons sódio e as estruturas do PVAc é denominada, corretamente, como




No Brasil, nas primeiras décadas do século XX, as mulheres
formavam grande parte do operariado, especialmente
as imigrantes: espanholas, italianas, portuguesas,
húngaras, romenas, polonesas, lituanas e sírias. Em 1901,
como afirma a historiadora Mary Del Priore, constituíam
quase 68% da mão de obra empregada na indústria de
fiação e tecelagem. Trabalhavam de 10 a 14 horas por dia,
em péssimas condições de higiene e sob grande controle
disciplinar. Além disso, os salários eram baixos, estavam
constantemente sujeitas ao assédio sexual e não existia
qualquer legislação trabalhista capaz de protegê-las de tal exploração. Somente a partir da década de 1930,
depois de inúmeras manifestações operárias em todo o
mundo, a legislação brasileira proporcionou garantias
trabalhistas às mulheres. Na Era Vargas, anos 30, 40 e
50, houve a regulamentação do trabalho de mulheres e
crianças, e o presidente Getúlio Vargas fixou a jornada
de trabalho em 8 horas diárias.
<https://tinyurl.com/y5sq4pkp> Acesso em: 15.10.2019. Adaptado.
Segundo o texto,
Considerando que uma colher de chá de bicarbonato de sódio contém 5 g desse composto, é correto afirmar que o número
de moléculas de bicarbonato de sódio utilizadas na fabricação do slime caseiro, conforme descrito no texto, corresponde a
aproximadamente
Massa molar do NaHCO3 = 84 g/mol
Constante de Avogadro: 6 × 1023 mol–1




Tinha cinco metros o mapa que dominou o encontro,
que teve lugar na Chancelaria do Reich. Mostrava o
continente, com rios, lagos, nomes de alguns locais e
muitas manchas brancas.
Quando a Conferência chegou ao fim, depois de mais
de três meses de discussões, ainda havia grandes
extensões do continente onde nenhum europeu tinha
posto os pés.
Representantes de diversos países deslocaram-se a
convite do chanceler alemão Otto von Bismarck para
dividirem o continente entre si, “em conformidade
com o direito internacional”. Com duas exceções, todos
os Estados que hoje compõem o continente foram
divididos entre as potências coloniais poucos anos
após o encontro. Muitos historiadores consideram que
a Conferência foi o fundamento de futuros conflitos
internos no continente.
<https://tinyurl.com/y4z6b4j7> Acesso em: 15.10.2019. Adaptado
Assinale a alternativa que apresenta, corretamente, a
conferência a que o texto se refere e o processo histórico
que se iniciou a partir dela.
Conferência de Tordesilhas, cujo tratado final dividiu
os territórios da América entre Portugal e Espanha no
final do século XV.