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Um corpo de massa igual a 80 kg, após sair do repouso, percorre uma pista retilínea e horizontal até colidir a 108 km/h com um anteparo que está parado. Qual o valor, em metros, da altura que este corpo deveria ser abandonado, em queda livre, para que ao atingir o solo tenha o mesmo valor da energia mecânica do corpo ao colidir com o anteparo?
Adote a aceleração da gravidade no local igual a 10 m/s2 .

O avião atinge uma determinada altitude (ponto A) e a partir dela aumenta sua velocidade sob uma aceleração de 2 vezes o módulo da aceleração da gravidade. Próximo de atingir o ponto B, o avião diminui o módulo da força produzida pelo motor até se igualar a resistência do ar e, a partir do ponto B, inicia um lançamento oblíquo até D.
Uma vez que a pessoa não está presa a nenhuma parte do avião e que também realiza um lançamento oblíquo com a mesma velocidade inicial do avião a partir de B, pode-se afirmar corretamente que o módulo da força normal do piso do avião contra a força peso da pessoa no trecho de B a D é ______.
No sistema representado na figura a seguir, tem-se dois corpos A e B, sendo que o corpo A tem massa igual a 10 kg e o sistema está em equilíbrio estático. Esse sistema é composto por cordas ideais (massas desprezíveis e inextensíveis), além disso, na corda 2 tem-se uma tração de intensidade igual a 300 N.

Admitindo a aceleração da gravidade no local igual a 10 m/s2
,
determine, respectivamente, em kg, a massa do corpo B e, em N, o
valor da intensidade da tração na corda 4, que prende o corpo B ao
corpo A.
Em um recente trabalho, os pesquisadores de uma instituição concluíram que 500 mL do total de água pura utilizada durante o processo de fabricação de um copo plástico são “perdidos” devido a mudança do estado líquido para o estado de vapor a 100 °C. Em termos de energia, essa quantidade de água pura “perdida” equivale, em calorias, a ____.
Considere:
1 – que a água pura, antes de entrar no processo de fabricação, está a 25 °C;
2 – calor específico da água pura igual a 1 cal/g°C;
3 – calor latente de vaporização da água pura igual a 540 cal/g; e
4 – a densidade da água pura igual a 1 g/cm³.
Dentro de um recipiente encontra-se uma vasilha flutuando sobre um líquido em repouso. No fundo dessa vasilha há um objeto maciço, homogêneo e com densidade maior que a do líquido. Olhando essa cena, um professor se imagina retirando o objeto da vasilha e abandonando-o sobre a superfície do líquido. O professor esboça quatro desenhos (A, B, C e D) que representam o objeto no fundo da vasilha (posição A) e três posições (B, C e D) do objeto durante seu deslocamento até o fundo do recipiente. O professor, propositadamente, não se preocupa em desenhar corretamente o nível do líquido. Em seguida, mostra esses desenhos aos seus alunos e pergunta a eles em qual das posições (A, B, C ou D) o volume do líquido deslocado pelo objeto é maior.

Entre as alternativas, assinale aquela que indica a resposta correta à pergunta do professor.



Considere o histograma. O ponto médio e a frequência absoluta da classe modal são _______ e _______ respectivamente.

Read the text and answer question.
Reasons why the Airbus A380 failed
On 14 February 2019, Airbus announced their A380s have been cancelled, with production ending in 2021. After 12 years of shaky business and development, its closure didn’t come as a surprise. The dream is over for the world’ largest passenger airliner. Why was the king of the airliners forced to land so quikly? Here’s what happened:
- poor business planing finds itself at the heart of the A380’s downfall. Most of all A380’ eggs were put in a basket called Emirates, Airbus biggest buyer.
- bigger isn’t always better. With a wingspan of almost 80 meters was difficult to guide the giant four-turbine around airports.
- airbus failed to antecipate how consumer’s tastes in air travel would change over the years. Passengers nowadays prefer smaller airports, using direct routes to their destinations.
- although a seating capacity of 800 may seem impressive at first, it is not easy to fill them up, even when you give discounts and make promotions.
Airbus A380’ closure perhaps teaches us all a lesson or two. Dream big, but keep your feet on the ground.
Adapted from https://www.slashgerar.com.
Read the text and answer question.
Reasons why the Airbus A380 failed
On 14 February 2019, Airbus announced their A380s have been cancelled, with production ending in 2021. After 12 years of shaky business and development, its closure didn’t come as a surprise. The dream is over for the world’ largest passenger airliner. Why was the king of the airliners forced to land so quikly? Here’s what happened:
- poor business planing finds itself at the heart of the A380’s downfall. Most of all A380’ eggs were put in a basket called Emirates, Airbus biggest buyer.
- bigger isn’t always better. With a wingspan of almost 80 meters was difficult to guide the giant four-turbine around airports.
- airbus failed to antecipate how consumer’s tastes in air travel would change over the years. Passengers nowadays prefer smaller airports, using direct routes to their destinations.
- although a seating capacity of 800 may seem impressive at first, it is not easy to fill them up, even when you give discounts and make promotions.
Airbus A380’ closure perhaps teaches us all a lesson or two. Dream big, but keep your feet on the ground.
Adapted from https://www.slashgerar.com.
According to the text, choose the alternative that best complete the sentence.
Airbus A380 _________________.
Read the text and answer question.
Reasons why the Airbus A380 failed
On 14 February 2019, Airbus announced their A380s have been cancelled, with production ending in 2021. After 12 years of shaky business and development, its closure didn’t come as a surprise. The dream is over for the world’ largest passenger airliner. Why was the king of the airliners forced to land so quikly? Here’s what happened:
- poor business planing finds itself at the heart of the A380’s downfall. Most of all A380’ eggs were put in a basket called Emirates, Airbus biggest buyer.
- bigger isn’t always better. With a wingspan of almost 80 meters was difficult to guide the giant four-turbine around airports.
- airbus failed to antecipate how consumer’s tastes in air travel would change over the years. Passengers nowadays prefer smaller airports, using direct routes to their destinations.
- although a seating capacity of 800 may seem impressive at first, it is not easy to fill them up, even when you give discounts and make promotions.
Airbus A380’ closure perhaps teaches us all a lesson or two. Dream big, but keep your feet on the ground.
Adapted from https://www.slashgerar.com.
Read the text and answer question.
Iceberg ruptures in Patagonia raise alarm about global warming
Fabian Andres Cambero
Two new icebergs have broken off from the Grey Glacier in Chile’s Patagonia in recent weeks. Scientists have linked the increased frequency ice breaks to rising temperature. According to Ricardo Jana, researcher and member of the climate change area of the Chilean Antartic Institute (INACH) “In recent years temperature rises above the normal average and intense rainfall were registered with an increase in water level in the lake, factors that could explain the separation. Reseachers from universities in Germany and Brazil, together with experts from INACH and other local entities, have been studing the Grey Glacier since 2015.
http://independent.co.uk
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Iceberg ruptures in Patagonia raise alarm about global warming
Fabian Andres Cambero
Two new icebergs have broken off from the Grey Glacier in Chile’s Patagonia in recent weeks. Scientists have linked the increased frequency ice breaks to rising temperature. According to Ricardo Jana, researcher and member of the climate change area of the Chilean Antartic Institute (INACH) “In recent years temperature rises above the normal average and intense rainfall were registered with an increase in water level in the lake, factors that could explain the separation. Reseachers from universities in Germany and Brazil, together with experts from INACH and other local entities, have been studing the Grey Glacier since 2015.
http://independent.co.uk