Coutinho's goal against Switzerland does not fall in Enem, but that of Paulinho against Serbia may fall; Understand the reason | Enem 2018



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The elimination of Brazil at the World Cup in Russia left lessons to the coach Tite and the Brazilian Football Confederation (CBF), but the results of the Canarian team in the field can also teach a lot to students. the vestibular.

The main lesson at the time of the study of physics is: forget the goal that Philippe Coutinho did in the opening match of Brazil against Switzerland. He was elected by FIFA the most handsome of the first phase of the Russian World Cup, where the 32 teams scored a total of 122 goals in 48 first-round matches, but that's the physics behind the goal of Paulinho against Serbia. more likely to appear prominently.

The reason is simple: the movement made by the ball when Paulinho covered the Serbian goalkeeper is an oblique throw, one of the common subjects of vestibular physics.

The side curve printed by Coutinho on his kick is actually what physicists call "the Magnus effect," a topic too complex for high school students and therefore not required in Fuvest tests. , Enem and other vestibular.

To explain how the oblique throw appears in the events and how some goals of the World Cup can help answer the question, G1 heard:

  • Emico Okuno Professor of physics at the University of (19659007) Kevork Soghomonian professor of physics at Cursinho (São Paulo, USP), author of textbooks and co-author, with Professor Marcos Duarte, of the book "Physics of Football" « It's a very complicated question because the ball is suddenly a curve, "says Emico, who is now 81 and who is Santista since the age of 81. G1 about Coutinho's kick.

Corinthian Kevork explains that oblique throwing appears much in the vestibular because it requires candidates a series of knowledge typical of physics in high school, specifically kinematics. Therefore, although it is virtually impossible for the goal itself to go to the test – after all, 2018 Enem's questions are usually asked before the World Cup – the concept behind is the same.

Preliminary notions of physics (particle, trajectory, position, scalar displacement and reference)

    See the list of topics to study to go well in this area, according to Professor:

    • vectors
    • throwing horizontal
    • throwing oblique

    In the case of oblique throwing, Kevork

  • uniform speed
  • uniform speed
  • Uniformly retinal movement said that the questions asked by universities and l & # 39; Enem Nature Science Proof typically bring real-life inspired examples, such as a water jet from a pipe, launching a top stone of a building, and existing movements in various sports, like cutting the ball in the volleyball net and throwing a hammer.

  • In all cases, the object launched makes a curved trajectory known by several names, such as parabola, ellipse or hyperbole. "Even the straight line is a curve," says the professor.

    Kevork pointed out that there are usually five typical proposals for a vestibular statement involving oblique throwing:

    1. maximum height that the ball reached [19659012] ball achieve in a straight line
    2. the average speed to which the ball was kicked
    3. the angle formed by the kick and the beginning of the trajectory
    4. the total time that the ball took to travel (ie fall time)

    See, in Paulinho's kick, that given a vestibular question is more likely to require:

      Scheme shows the physics concepts related to the oblique pitching made by Paulinho's blow in the game of Brazil against Serbia, in the first phase of the World Cup (photo: Igor Estrella / G1) "title =" Scheme shows the physics concepts related to the oblique launch made by Paulinho's blow in the match Brazil against Serbia in the first round of the World Cup (Ph oto: Igor Estrella / G1) "src =" data: image / jpeg; base64, / 9j / 4AAQSkZJRgABAQAAAQABAAD / 2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT / 2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT / wgARCAAMABkDASIAAhEBAxEB / 8QAFwAAAwEAAAAAAAAAAAAAAAAABAUGAv / EABYBAQEBAAAAAAAAAAAAAAAAAAUAAf / aAAwDAQACEAMQAAABn9yoRh16AhU5f EAB0QAAIBBAMAAAAAAAAAAAAAAAIDBAABBRQGExX // / // 2gAIAQEAAQUCXx + KBsxkRZFiIgr000eReAjPdcvRd1b7q EABURAQEAAAAAAAAAAAAAAAAAABAh / 9oACAEDAQE / AAF / xAAZEQEAAgMAAAAAAAAAAAAAAAACAAEDMVL / 2gAIAQIBAT8BWR3e4k + p / 8QAIRAAAQIEBwAAAAAAAAAAAAAAAQARAhIhIhAyQVFSgbH / 2gAIAQEABj8CoXFG3QAg7BUwh0Z8LYmQvTTcvFnX / 8QAHhAAAwEAAAcAAAAAAAAAAAAAAREhABBBUWFxkfD / 2gAIAQEAAT8hWjVETXlYdIEFMm5uDg0fTdwe8NCiMZ9EVgUlQE185cN 9oADAMBAAIAAwAAABB4H // / / EABcRAQEBAQAAAAAAAAAAAAAAAAERACH / 2gAIAQMBAT8Qq7clDf / EABgRAQADAQAAAAAAAAAAAAAAAAEAIYER / 9oACAECAQE / EK4zZT4jWf / EACAQAQACAgIBBQAAAAAAAAAAAAERIQBBMWFxUZGhwfH / 2gAIAQEAAT8QXUOFKAgKELxuLway7TlBtqV + 5AwtC1JsE tF75jbefm8IDqFhGvTzgYAJB4IKyqQTySkjxT5 Scheme shows physics concepts related to oblique ground made by Paulinho's kick in the Brazil match against Serbia in the first phase of the World Cup (Photo: Igor Estrella / G1) "title =" Scheme shows physics concepts related to the oblique ground made by the kick of Paulinho in the match Brazil against Serbia, in the first phase of the World Cup (photo: Igor Estrella / G1) "data-src =" https: / /s2.glbimg.com/U8YMjg6UgiD9f5FARIFd8XZUdJE=/0x0:1780x826/1008x0/smart/filters:strip_icc()/i.s3.glbimg.com/v1/AUTH_59edd422c0c84a879bd37670ae4f538a/internal_photos/bs/2018/p/E/p2OpRGTdruRBzvDU4w/gol- paulinho </source></source></source></source></source></picture> </div>
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    Diagram shows the concepts of physics related to the oblique ground made by Paulinho's kick in the match Brazil against Serbia in the first phase of the World Cup.

    Veja, here are examples of three entry exams at the level of football (fictitious or real, including the "goal Pele did not do it") and what knowledge asked (the answers are at the end of the report):

      At Unicamp 2012, the candidates received the ball and one of the heights of their trajectory and had to calculate the maximum height of the parable in the. Unicamp 2012, the candidates received the scope of the ball and one of the heights of its trajectory, and they had to calculate the maximum height of the parabola (src = "data").: Image / jpeg; base64, / 9d / 4AAQSkZJRgABAQAAAQABAAD / 2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT / 2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT / wgARCAAgABkDASIAAhEBAxEB / 8QAGgABAAIDAQAAAAAAAAAAAAAABQEEAAIGB // EABQBAQAAAAAAAAAAAAAAAAAAAAD / 2gAMAwEAAhADEAAAAfed36wN1xKxWqwmHJRh / 8QAHRAAAgEFAQEAAAAAAAAAA AAAAQIDAAQQEhMiI // // aAAgBAQABBQJ9VuO1Cc4eNAxZulld9sP6rgNoIAhoj6Z 8QAFBEBAAAAAAAAAAAAAAAAAAAAIP / aAAgBAwEBPwEf / 8QAFBEBAAAAAAAAAAAAAAAAAAA AIP / aAAgBAgEBPwEf / 8QAJxAAAgECBAQHAAAAAAAAAAAAAQIhABEDEBJBIFHR4SIxQmFxgpH / 2gAIAQEABj8CxG07n1N1qbfp60PCB9jkDYqxPmooorNAubntWIjX1Id / eRlKNHKtQGMD81iCzBTM5CN XBG + // 8QAIhABAQABAgUFAAAAAAAAAAAAAREAITEQIEGBkXHB0eHx / 9oACAEBAAE / IdTtNSlb2YQaMSK0aX9cmEtA6uzqzHMTY8O2BgE4uqgE8M7cEIE1R0e NSBvPvhon9QK7O3ocC6z5Hk + // 9oADAMBAAIAAwAAABAjAyz / xAAUEQEAAAAAAAAAAAAAAAAAAAAg / 9oACAEDAQE / EB // xAAUEQEAAAAAAAAAAAAAAAAAAAAg / 9oACAECAQE / EB xAAhEAEBAAICAQQDAAAAAAAAAAABEQAhMUFREGFxkYGx0f // / + aAAgBAQABPxBAdHj3xNWug DGF2YibRXfhx5 / mKZrRdGw0c2 / Z // XoHGoGpJWiEHbNw7wDhURLwKXW80Kv6DWTkjSG18swknUALEuhSLkOXRA0tm1AevfFLbZyLCvH25Xy5fI6FOnmtfv89vr "<picture itemscope= <img clbad =" content-media__image picture "itemprop =" contentURL "alt =" At the & # 39; Unicamp 2012 candidates received the scope of the balloon and one of the heights of his trajectory, and they had to calcu ler the maximum height of the parable (Photo: Reproduction / Comvest) "title =" At Unicamp 2012, received the scope of the ball and one of the heights on its way, and had to calculate the maximum height of the parable (photo: Reproduction / Comvest) "data-src =" https: //. (19659037) In 2010, the candidates received the ball and one of the heights on their trajectory, and they had to calculate the maximum height of the parable.

      In 2010, the vestibular of the second semester of the Federal University of Tocantins (UFT) described a parable informing the mbad of the ball, the angle of the shot and the maximum height, and asked the calculation of the initial velocity of the ball.
      A Unesp 2012, the famous

    Kinematics is one of the three areas of mechanics, one of the three areas of mechanics. The other two are dynamic and static and, according to Kevork, more and more vestibular students are trying to merge the areas.

    Hexag's professor cites a question possibility using Paulinho's purpose and extrapolating the knowledge of kinematics:

    "They would take Paulinho's tone and quote in the vestibular, it's like a they might ask for energy, Newton's second law, which is dynamic, "he says.

    • The second law of Isaac Newton calculates the force acting on a body by multiplying the mbad of that body and the acceleration it acquires: if the mbad of the body is constant, the greater the force, the greater the force, the acceleration.) [19659038] This mix of subdomains of physics may appear in the vestibular, but Kevork rejects the emergence of questions inspired by Coutinho's goal and other historical objectives of the type, like that of Roberto Carlos, in 1997, against France, who even lectured on Magnus effect

    According to Emico, the "game of forces" in this case is too complicated for high school.

    "The pushing force is given by the player's kick, which propels the ball towards the goal, the holding force would be the issue of attrition with the air", explains she.

    But there remains the question of the rotation of the ball on the axis itself. "Many times the player hits without rotation and makes a goal, but the one with rotation is complicated because the ball turns and makes a sudden curve and a goal."

    The use of football to teach physics is an idea that was born when Emico and his colleague Marcos Duarte produced a series of texts that brought young people closer to the concepts of physics. Professor USP, who began studying physics in 1957,

    The result was the book "Physics in football", launched in 2012 with a preface by the former player and comment on Tostão and the physicist Marcelo Gleiser. The work was then translated into Italian – with a preface to Roberto Baggio.

    "It's for young people who hate physics, who think that physics is useless and who love football, that trying to teach how physics can help understand a number of things related to football, see with football, "says Emico.

    In the book, the two authors explain the physics topics of the first year of high school using only football-related examples.

    There is, for example, a chapter devoted solely to the evolution of the ball which, according to her, is changed every year to make the lives of the goalkeepers even more difficult. The tough decision of goalkeepers when choosing a side in a shootout is another theme of the book.

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