ITA 2021

Questão 55630

(AFA - 2021)

The End of life on Earth

It weighted about 10,000 tons, entered the
atmosphere at a speed of 64,000 km/h and exploded
over a city with a blast of 500 kilotons. But on 15
February 2013, we were lucky. The meteorite that 
5 showered pieces of rock over Chelyabinsk, Russia, was
relatively small, at only about 17 metres wide. Although
many people were injured by falling glass, the damage
was nothing compared to what had happened in Siberia
neraly one hundred years ago, when a relatively small
10 object (approximately 50 metres in diameter) exploded in
mid-air over a forest region, flattening about 80 million
trees. If it had exploded over a city such as Moscow or
London, millions of people would have been killed.

By a strange coincidence, the same day that the
15 meteorite terrified the people of Chelyabinsk, another
50m-wide asteroid passed relatively close to Earth.
Scientists were expecting that visit and know that the
asteroid will return to fly close by us in 2046, but the
Russian meteorite earlier in the day had been too small
20 for anyone to spot.

Most scientists agree that comets and asteroids
pose the biggest natural threat to human existence. It
was probably a large asteroid or comet collinding with
Earth which wiped out the dinosaurs about 65 million
25 years ago. An enormous object, 10 to 16 km in diameter,
struck the Yucatan region in Mexico with the force of 100
megatons. That is the equivalent of one Hiroshima bomb 
for every peerson alive on Earth today.

Many scientists, including the late Stephen
30 Hawking, say that any comet or asteroid greater than
20km in diameter that hits Earth will result in the 
complete destruction of complex life, including all
animals and most plants. As we have seen even a much 
smaller asteroid can cause great damage.

35 The Earth has been kept fairly safe for the last 65
million years by good fortune and the massive
gravitational field of the planet Jupiter. Our cosmic
guardian, with its stable circular orbit far from the sun,
sweeps up and scatters away most of the dangerous
40 comets and asteroids which might cross Earth's orbit.

After the Chelyabinsk meteorite, scientists are now
monitoring potential hazards even more carefully but, as 
far as they know, there is no danger in the foreseeable
future.

45 Types of space rocks
• Comet - a ball of rock and ice that sends out a
tail of gas and dust behind it. Bright comets only appear
in our visible night sky about once every ten years.
• Asteroid - a rock a few feet to several kms in
50 diameter. Unlike comets, asteroids have no tail. Most
are to small to cause any damage and burn up in the
atmosphere.
• Meteoroid - part of an asteroid or comet.
• Meteorite - what a meteoroid is called when it
55 hits Earth.

Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020

On the same day as the meteorite exploded over Chelyabinsk,

Questão 55631

(AFA - 2021)

Considere a função real f definida por f(x) = | - | - c + x | + c | , com c ∈ IR.

Dos gráficos apresentados nas alternativas a seguir, o único que NÃO pode representar a função f é

Questão 55632

(AFA - 2021 - Modelo C - Questão 57)

Nas questões de física, quando necessário use:

• massa atômica do hidrogênio: 

• massa atômica do hélio: 

• velocidade da luz no vácuo: 

• constante de Planck:

•

• constante eletrostática do vácuo: 

• aceleração da gravidade: 

• cos 30° = sen 60° = 

• cos 60° = sen 30° = 

• cos 45° = sen 45° = 

Um observador O visualiza uma placa com a inscrição AFA através de um periscópio rudimentar construído com dois espelhos planos e paralelos e inclinados de 45º em 2 relação ao eixo de um tubo opaco, conforme figura abaixo.

Nessas condições, a opção que melhor representa, respectivamente, a imagem da palavra AFA conjugada pelo espelho  e a imagem final que o observador O visualiza através do espelho é

Questão 55634

(AFA - 2021)

TEXTO III

Mulheres de Atenas

Mirem-se no exemplo
Daquelas mulheres de Atenas
Vivem pros seus maridos
Orgulho e raça de Atenas

Quando amadas, se perfumam
Se banham com leite, se
Arrumam
Suas melenas
Quando fustigadas não choram
Se ajoelham, pedem, imploram
Mais duras penas; cadenas

Mirem-se no exemplo
Daquelas mulheres de Atenas
Sofrem pros seus maridos
Poder e Força de Atenas

Elas não têm gosto ou vontade
Nem defeito, nem qualidade
Têm medo apenas
Não têm sonhos, só têm
Presságios
O seu homem, mares,
Naufrágios
Lindas sirenas, morenas

Mirem-se no exemplo
Daquela mulheres de Atenas
Temem por seus maridos
Heróis e amantes de Atenas

As jovens viúvas marcadas
E as gestantes abandonadas
Não fazem cenas
Vestem-se de negro, se
Encolhem
Se conformam e se recolhem
Às suas novenas, serenas

(HOLANDA, Chico Buarque de. Meus caros amigos. LP 1976. Phonogram/Philips)

Em relação à composição linguística do texto III, é INCORRETO afirmar que

Questão 55635

(AFA - 2021)

The End of life on Earth

It weighted about 10,000 tons, entered the
atmosphere at a speed of 64,000 km/h and exploded
over a city with a blast of 500 kilotons. But on 15
February 2013, we were lucky. The meteorite that 
5 showered pieces of rock over Chelyabinsk, Russia, was
relatively small, at only about 17 metres wide. Although
many people were injured by falling glass, the damage
was nothing compared to what had happened in Siberia
neraly one hundred years ago, when a relatively small
10 object (approximately 50 metres in diameter) exploded in
mid-air over a forest region, flattening about 80 million
trees. If it had exploded over a city such as Moscow or
London, millions of people would have been killed.

By a strange coincidence, the same day that the
15 meteorite terrified the people of Chelyabinsk, another
50m-wide asteroid passed relatively close to Earth.
Scientists were expecting that visit and know that the
asteroid will return to fly close by us in 2046, but the
Russian meteorite earlier in the day had been too small
20 for anyone to spot.

Most scientists agree that comets and asteroids
pose the biggest natural threat to human existence. It
was probably a large asteroid or comet collinding with
Earth which wiped out the dinosaurs about 65 million
25 years ago. An enormous object, 10 to 16 km in diameter,
struck the Yucatan region in Mexico with the force of 100
megatons. That is the equivalent of one Hiroshima bomb 
for every peerson alive on Earth today.

Many scientists, including the late Stephen
30 Hawking, say that any comet or asteroid greater than
20km in diameter that hits Earth will result in the 
complete destruction of complex life, including all
animals and most plants. As we have seen even a much 
smaller asteroid can cause great damage.

35 The Earth has been kept fairly safe for the last 65
million years by good fortune and the massive
gravitational field of the planet Jupiter. Our cosmic
guardian, with its stable circular orbit far from the sun,
sweeps up and scatters away most of the dangerous
40 comets and asteroids which might cross Earth's orbit.

After the Chelyabinsk meteorite, scientists are now
monitoring potential hazards even more carefully but, as 
far as they know, there is no danger in the foreseeable
future.

45 Types of space rocks
• Comet - a ball of rock and ice that sends out a
tail of gas and dust behind it. Bright comets only appear
in our visible night sky about once every ten years.
• Asteroid - a rock a few feet to several kms in
50 diameter. Unlike comets, asteroids have no tail. Most
are to small to cause any damage and burn up in the
atmosphere.
• Meteoroid - part of an asteroid or comet.
• Meteorite - what a meteoroid is called when it
55 hits Earth.

Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020

In "scientists were expecting that visit" (line 17), the underlined word has the same use as in

Questão 55636

(AFA - 2021 - Modelo C - Questão 23)

Considere no plano de Argando Gauss os números complexos z = x + yi, em que x e y são números reais e , tais que

É correto afirmar que os pontos P(x,y), afixos de z, podem formar um

Questão 55637

(AFA - 2021)

The End of life on Earth

It weighted about 10,000 tons, entered the
atmosphere at a speed of 64,000 km/h and exploded
over a city with a blast of 500 kilotons. But on 15
February 2013, we were lucky. The meteorite that 
5 showered pieces of rock over Chelyabinsk, Russia, was
relatively small, at only about 17 metres wide. Although
many people were injured by falling glass, the damage
was nothing compared to what had happened in Siberia
neraly one hundred years ago, when a relatively small
10 object (approximately 50 metres in diameter) exploded in
mid-air over a forest region, flattening about 80 million
trees. If it had exploded over a city such as Moscow or
London, millions of people would have been killed.

By a strange coincidence, the same day that the
15 meteorite terrified the people of Chelyabinsk, another
50m-wide asteroid passed relatively close to Earth.
Scientists were expecting that visit and know that the
asteroid will return to fly close by us in 2046, but the
Russian meteorite earlier in the day had been too small
20 for anyone to spot.

Most scientists agree that comets and asteroids
pose the biggest natural threat to human existence. It
was probably a large asteroid or comet collinding with
Earth which wiped out the dinosaurs about 65 million
25 years ago. An enormous object, 10 to 16 km in diameter,
struck the Yucatan region in Mexico with the force of 100
megatons. That is the equivalent of one Hiroshima bomb 
for every peerson alive on Earth today.

Many scientists, including the late Stephen
30 Hawking, say that any comet or asteroid greater than
20km in diameter that hits Earth will result in the 
complete destruction of complex life, including all
animals and most plants. As we have seen even a much 
smaller asteroid can cause great damage.

35 The Earth has been kept fairly safe for the last 65
million years by good fortune and the massive
gravitational field of the planet Jupiter. Our cosmic
guardian, with its stable circular orbit far from the sun,
sweeps up and scatters away most of the dangerous
40 comets and asteroids which might cross Earth's orbit.

After the Chelyabinsk meteorite, scientists are now
monitoring potential hazards even more carefully but, as 
far as they know, there is no danger in the foreseeable
future.

45 Types of space rocks
• Comet - a ball of rock and ice that sends out a
tail of gas and dust behind it. Bright comets only appear
in our visible night sky about once every ten years.
• Asteroid - a rock a few feet to several kms in
50 diameter. Unlike comets, asteroids have no tail. Most
are to small to cause any damage and burn up in the
atmosphere.
• Meteoroid - part of an asteroid or comet.
• Meteorite - what a meteoroid is called when it
55 hits Earth.

Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020

The Russian meteorite

Questão 55639

(AFA - 2021)

The End of life on Earth

It weighted about 10,000 tons, entered the
atmosphere at a speed of 64,000 km/h and exploded
over a city with a blast of 500 kilotons. But on 15
February 2013, we were lucky. The meteorite that 
5 showered pieces of rock over Chelyabinsk, Russia, was
relatively small, at only about 17 metres wide. Although
many people were injured by falling glass, the damage
was nothing compared to what had happened in Siberia
neraly one hundred years ago, when a relatively small
10 object (approximately 50 metres in diameter) exploded in
mid-air over a forest region, flattening about 80 million
trees. If it had exploded over a city such as Moscow or
London, millions of people would have been killed.

By a strange coincidence, the same day that the
15 meteorite terrified the people of Chelyabinsk, another
50m-wide asteroid passed relatively close to Earth.
Scientists were expecting that visit and know that the
asteroid will return to fly close by us in 2046, but the
Russian meteorite earlier in the day had been too small
20 for anyone to spot.

Most scientists agree that comets and asteroids
pose the biggest natural threat to human existence. It
was probably a large asteroid or comet collinding with
Earth which wiped out the dinosaurs about 65 million
25 years ago. An enormous object, 10 to 16 km in diameter,
struck the Yucatan region in Mexico with the force of 100
megatons. That is the equivalent of one Hiroshima bomb 
for every peerson alive on Earth today.

Many scientists, including the late Stephen
30 Hawking, say that any comet or asteroid greater than
20km in diameter that hits Earth will result in the 
complete destruction of complex life, including all
animals and most plants. As we have seen even a much 
smaller asteroid can cause great damage.

35 The Earth has been kept fairly safe for the last 65
million years by good fortune and the massive
gravitational field of the planet Jupiter. Our cosmic
guardian, with its stable circular orbit far from the sun,
sweeps up and scatters away most of the dangerous
40 comets and asteroids which might cross Earth's orbit.

After the Chelyabinsk meteorite, scientists are now
monitoring potential hazards even more carefully but, as 
far as they know, there is no danger in the foreseeable
future.

45 Types of space rocks
• Comet - a ball of rock and ice that sends out a
tail of gas and dust behind it. Bright comets only appear
in our visible night sky about once every ten years.
• Asteroid - a rock a few feet to several kms in
50 diameter. Unlike comets, asteroids have no tail. Most
are to small to cause any damage and burn up in the
atmosphere.
• Meteoroid - part of an asteroid or comet.
• Meteorite - what a meteoroid is called when it
55 hits Earth.

Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020

Experts maintain that comets and asteroids could

Questão 55640

(AFA - 2021 - Modelo C - Questão 24)

Considere no plano de Argand Gauss os números complexos  e  conforme gráfico abaixo.

Se w = z⁴, então B é igual a

Questão 55641

(AFA - 2021)

TEXTO III

Mulheres de Atenas

Mirem-se no exemplo
Daquelas mulheres de Atenas:
Vivem pros seus maridos
Orgulho e raça de Atenas

Quando amadas, se perfumam
Se banham com leite, se arrumam
Suas melenas
Quando fustigadas não choram
Se ajoelham, pedem imploram
Mais duras penas; cadenas

Mirem-se no exemplo
Daquelas mulheres de Atenas:
Sofrem pros seus maridos
Poder e força de Atenas

Elas não têm gosto ou vontade
Nem defeito, nem qualidade
Têm medo apenas
Não tem sonhos, só tem presságios
O seu homem, mares, naufrágios
Lindas sirenas, morenas

Mirem-se no exemplo
Daquelas mulheres de Atenas
Temem por seus maridos
Heróis e amantes de Atenas

As jovens viúvas marcadas
E as gestantes abandonadas
Não fazem cenas
Vestem-se de negro, se encolhem
Se conformam e se recolhem
Às suas novenas, serenas

(HOLANDA, Chico Buarque de. Meus caros amigos. LP, 1976. Phonogram/Philips)

Considere as afirmativas acerca da canção de Chico Buarque, texto III.

I. Na segunda estrofe, há a presença de uma gradação que reforça o grau de submissão da postura feminina.
II. Todas as ocorrências do pronome "se", ao longo do texto, justificam-se pelo seu teor de reflexividade, realçando, assim, as ações e os gestos próprios das mulheres.
III. Os últimos versos da 1ª e 3ª estrofe destacam atributos da cidade de Atenas, por meio da utilização da prosopopeia, recurso recorrente em textos poéticos e musicais.
IV. Na quarta estrofe, há uma estrutura antitética que se dá no plano imaginário e inconsciente das mulheres.

Estão corretas apenas