Questões - IME | Gabarito e resoluções

(IME2013/2014 - 1 Fase) Em uma festa de aniversrio esto presentes n famlias com pai, me e 2 filhos, alm de 2 famlias com pai, me e 1 filho. Organiza-se uma brincadeira que envolve esforo fsico, na qual uma equipe azul enfrentar uma equipe amarela. Para equilibrar a disputa, uma das equipes ter apenas o pai de uma das famlias, enquanto a outra equipe ter 2 pessoas de uma mesma famlia, no podendo incluir o pai. permitido que o pai enfrente 2 pessoas de sua prpria famlia. Para que se tenha exatamente 2014 formas distintas de se organizar a brincadeira, o valor de n dever ser

(IME - 2013/2014 - 2 FASE) ARE YOU A FACEBOOK ADDICT? Are you a social media enthusiast or simply a Facebook addict? Researchers from Norway have developed a new instrument to measure Facebook addiction, the Bergen Facebook Addiction Scale. The use of Facebook has increased rapidly. We are dealing with a subdivision of Internet addiction connected to social media, Doctor of Psychology Cecilie Schou Andreassen says about the study, which is the first of its kind worldwide. Andreassen heads the researchproject Facebook Addiction at the University of Bergen (UiB). Anarticle about the results has just been published in the renowned journal Psychological Reports. She has clear views as to why some people develop Facebook dependency. It occurs more regularly among younger than older users. We have also found that people who are anxious and socially insecure use Facebook more than those with lower scores on those traits, probably because those who are anxious find it easier to communicate via social media than face-to-face , Andreassen says. People who are organised and more ambitious tend to be less at risk from Facebook addiction. They will often use social media as an integral part of work and networking. Our research also indicates that women are more at risk of developing Facebook addiction,probably due to the social nature of Facebook, Andreassen says. Six warning signs As Facebook has become as ubiquitous as television in our everyday lives, it is becoming increasingly difficult for many people to know if they are addicted to social media. Andreassens study shows that the symptoms of Facebook addiction resemble those of drug addic addiction, and chemical substance addiction. The Bergen Facebook Addiction Scale is based on six basic criteria, where all items are scored on the following scale: (1) Very rarely, (2) Rarely, (3) Sometimes, (4) Often , (5) Very often, and (6) Always. You spend a lot of time thinking about Facebook or planning to use of Facebook. You feel an urge to use Facebook more and more You use Facebook in order to forget about personal problems. You have tried to cut down on the use of Facebook without success. You become restless or troubled if you are prohibited from using Facebook. You use Facebook so much that it has had a negative impact on your job/studies. Andreassens study shows that scoring often or very often on at least four of the six items may suggest that you are addicted to Facebook. Disponvel em: Acesso em: 3 jun. 2013 (Texto adaptado) According to the passage, it is correct to say that

[IME - 2013/2014 - 1a fase]Dois corpos iguais deslizam na mesma direo e em sentidos opostos em um movimento retilneo uniforme, ambos na mesma velocidade em mdulo e mesma temperatura. Em seguida, os corpos colidem. A coliso perfeitamente inelstica, sendo toda energia liberada no choque utilizada para aumentar a temperatura dos corpos em 2 K. Diante do exposto, o mdulo da velocidade inicial do corpo, em m/s, Dado: Calor especfico dos corpos:

[IME - 2013/2014 - 1a fase] Um espelho plano gira na velocidade angular constante em torno de um ponto fixo P, enquanto um objeto se move na velocidade v, de mdulo constante, por uma trajetria no retilnea. Em um determinado instante, a uma distncia d do ponto P, o objeto pode tomar um movimento em qualquer direo e sentido, conforme a figura acima, sempre mantendo constante a velocidade escalar v. A mxima e a mnima velocidades escalares da imagem do objeto gerada pelo espelho so, respectivamente

(IME - 2013/2014 - 2 FASE) ARE YOU A FACEBOOK ADDICT? Are you a social media enthusiast or simply a Facebook addict? Researchers from Norway have developed a new instrument to measure Facebook addiction, the Bergen Facebook Addiction Scale. The use of Facebook has increased rapidly. We are dealing with a subdivision of Internet addiction connected to social media, Doctor of Psychology Cecilie Schou Andreassen says about the study, which is the first of its kind worldwide. Andreassen heads the researchproject Facebook Addiction at the University of Bergen (UiB). Anarticle about the results has just been published in the renowned journal Psychological Reports. She has clear views as to why some people develop Facebook dependency. It occurs more regularly among younger than older users. We have also found that people who are anxious and socially insecure use Facebook more than those with lower scores on those traits, probably because those who are anxious find it easier to communicate via social media than face-to-face , Andreassen says. People who are organised and more ambitious tend to be less at risk from Facebook addiction. They will often use social media as an integral part of work and networking. Our research also indicates that women are more at risk of developing Facebook addiction,probably due to the social nature of Facebook, Andreassen says. Six warning signs As Facebook has become as ubiquitous as television in our everyday lives, it is becoming increasingly difficult for many people to know if they are addicted to social media. Andreassens study shows that the symptoms of Facebook addiction resemble those of drug addic addiction, and chemical substance addiction. The Bergen Facebook Addiction Scale is based on six basic criteria, where all items are scored on the following scale: (1) Very rarely, (2) Rarely, (3) Sometimes, (4) Often , (5) Very often, and (6) Always. You spend a lot of time thinking about Facebook or planning to use of Facebook. You feel an urge to use Facebook more and more You use Facebook in order to forget about personal problems. You have tried to cut down on the use of Facebook without success. You become restless or troubled if you are prohibited from using Facebook. You use Facebook so much that it has had a negative impact on your job/studies. Andreassens study shows that scoring often or very often on at least four of the six items may suggest that you are addicted to Facebook. Disponvel em: Acesso em: 3 jun. 2013 (Texto adaptado) It is implied in the passage that

(IME - 2013/2014 - 2 FASE) ARE YOU A FACEBOOK ADDICT? Are you a social media enthusiast or simply a Facebook addict? Researchers from Norway have developed a new instrument to measure Facebook addiction, the Bergen Facebook Addiction Scale. The use of Facebook has increased rapidly. We are dealing with a subdivision of Internet addiction connected to social media, Doctor of Psychology Cecilie Schou Andreassen says about the study, which is the first of its kind worldwide. Andreassen heads the researchproject Facebook Addiction at the University of Bergen (UiB). Anarticle about the results has just been published in the renowned journal Psychological Reports. She has clear views as to why some people develop Facebook dependency. It occurs more regularly among younger than older users. We have also found that people who are anxious and socially insecure use Facebook more than those with lower scores on those traits, probably because those who are anxious find it easier to communicate via social media than face-to-face , Andreassen says. People who are organised and more ambitious tend to be less at risk from Facebook addiction. They will often use social media as an integral part of work and networking. Our research also indicates that women are more at risk of developing Facebook addiction,probably due to the social nature of Facebook, Andreassen says. Six warning signs As Facebook has become as ubiquitous as television in our everyday lives, it is becoming increasingly difficult for many people to know if they are addicted to social media. Andreassens study shows that the symptoms of Facebook addiction resemble those of drug addic addiction, and chemical substance addiction. The Bergen Facebook Addiction Scale is based on six basic criteria, where all items are scored on the following scale: (1) Very rarely, (2) Rarely, (3) Sometimes, (4) Often , (5) Very often, and (6) Always. You spend a lot of time thinking about Facebook or planning to use of Facebook. You feel an urge to use Facebook more and more You use Facebook in order to forget about personal problems. You have tried to cut down on the use of Facebook without success. You become restless or troubled if you are prohibited from using Facebook. You use Facebook so much that it has had a negative impact on your job/studies. Andreassens study shows that scoring often or very often on at least four of the six items may suggest that you are addicted to Facebook. Disponvel em: Acesso em: 3 jun. 2013 (Texto adaptado) According to the Bergen Facebook addiction scale, it can be said that you may be addicted to Facebook when

[IME - 2013/2014 - 1a fase] Uma buzina B localizada na proa de um barco, 1 m acima da superfcie da gua, ouvida simultaneamente por uma pessoa P na margem, a 20 m de distncia, e por um mergulhador M, posicionado diretamente abaixo da buzina. A profundidade do mergulhador, em metros, Dados: Temperatura do ar e da gua: 20 C; Razo entre as massas molares da gua e do ar: 0,04.

(IME - 2013/2014 - 2 FASE) ARE YOU A FACEBOOK ADDICT? Are you a social media enthusiast or simply a Facebook addict? Researchers from Norway have developed a new instrument to measure Facebook addiction, the Bergen Facebook Addiction Scale. The use of Facebook has increased rapidly. We are dealing with a subdivision of Internet addiction connected to social media, Doctor of Psychology Cecilie Schou Andreassen says about the study, which is the first of its kind worldwide. Andreassen heads the researchproject Facebook Addiction at the University of Bergen (UiB). Anarticle about the results has just been published in the renowned journal Psychological Reports. She has clear views as to why some people develop Facebook dependency. It occurs more regularly among younger than older users. We have also found that people who are anxious and socially insecure use Facebook more than those with lower scores on those traits, probably because those who are anxious find it easier to communicate via social media than face-to-face , Andreassen says. People who are organised and more ambitious tend to be less at risk from Facebook addiction. They will often use social media as an integral part of work and networking. Our research also indicates that women are more at risk of developing Facebook addiction,probably due to the social nature of Facebook, Andreassen says. Six warning signs As Facebook has become as ubiquitous as television in our everyday lives, it is becoming increasingly difficult for many people to know if they are addicted to social media. Andreassens study shows that the symptoms of Facebook addiction resemble those of drug addic addiction, and chemical substance addiction. The Bergen Facebook Addiction Scale is based on six basic criteria, where all items are scored on the following scale: (1) Very rarely, (2) Rarely, (3) Sometimes, (4) Often , (5) Very often, and (6) Always. You spend a lot of time thinking about Facebook or planning to use of Facebook. You feel an urge to use Facebook more and more You use Facebook in order to forget about personal problems. You have tried to cut down on the use of Facebook without success. You become restless or troubled if you are prohibited from using Facebook. You use Facebook so much that it has had a negative impact on your job/studies. Andreassens study shows that scoring often or very often on at least four of the six items may suggest that you are addicted to Facebook. Disponvel em: Acesso em: 3 jun. 2013 (Texto adaptado) According to the passage, which of the following is true about Facebook?

[IME - 2013/2014 - 1a fase] A figura acima mostra uma viga em equilbrio. Essa viga mede 4 m e seu peso desprezvel. Sobre ela, h duas cargas concentradas, sendo uma fixa e outra varivel. A carga fixa de 20 kN est posicionada a 1 m do apoio A, enquanto a carga varivel s pode se posicionar entre a carga fixa e o apoio B. Para que as reaes verticais (de baixo para cima) dos apoios A e B sejam iguais a 25 kN e 35 kN, respectivamente, a posio da carga varivel, em relao ao apoio B, e o seu mdulo devem ser

(IME - 2013/2014 - 2 FASE) ARE YOU A FACEBOOK ADDICT? Are you a social media enthusiast or simply a Facebook addict? Researchers from Norway have developed a new instrument to measure Facebook addiction, the Bergen Facebook Addiction Scale. The use of Facebook has increased rapidly. We are dealing with a subdivision of Internet addiction connected to social media, Doctor of Psychology Cecilie Schou Andreassen says about the study, which is the first of its kind worldwide. Andreassen heads the researchproject Facebook Addiction at the University of Bergen (UiB). Anarticle about the results has just been published in the renowned journal Psychological Reports. She has clear views as to why some people develop Facebook dependency. It occurs more regularly among younger than older users. We have also found that people who are anxious and socially insecure use Facebook more than those with lower scores on those traits, probably because those who are anxious find it easier to communicate via social media than face-to-face , Andreassen says. People who are organised and more ambitious tend to be less at risk from Facebook addiction. They will often use social media as an integral part of work and networking. Our research also indicates that women are more at risk of developing Facebook addiction,probably due to the social nature of Facebook, Andreassen says. Six warning signs As Facebook has become as ubiquitous as television in our everyday lives, it is becoming increasingly difficult for many people to know if they are addicted to social media. Andreassens study shows that the symptoms of Facebook addiction resemble those of drug addic addiction, and chemical substance addiction. The Bergen Facebook Addiction Scale is based on six basic criteria, where all items are scored on the following scale: (1) Very rarely, (2) Rarely, (3) Sometimes, (4) Often , (5) Very often, and (6) Always. You spend a lot of time thinking about Facebook or planning to use of Facebook. You feel an urge to use Facebook more and more You use Facebook in order to forget about personal problems. You have tried to cut down on the use of Facebook without success. You become restless or troubled if you are prohibited from using Facebook. You use Facebook so much that it has had a negative impact on your job/studies. Andreassens study shows that scoring often or very often on at least four of the six items may suggest that you are addicted to Facebook. Disponvel em: Acesso em: 3 jun. 2013 (Texto adaptado) The word resemble in the sentence Andreassens study shows that the symptoms of Facebook addiction resemble those of drug addiction, alcohol addiction, and chemical substance addiction. can be replace by:

[IME - 2013/2014 - 1a fase]Um bloco, que se movia velocidade constante v em uma superfcie horizontal sem atrito, sobe em um plano inclinado at atingir uma altura h, permanecendo em seguida em equilbrio estvel. Se a acelerao da gravidade local g, pode-se afirmar que

(IME - 2013/2014 - 2 FASE) WHY IS HANDWRITING IMPORTANT? Jotting down a shopping list, writing a birthday card, taking down a phone message, completing a form at the bank .handwriting is part of our daily lives. It is on show to others and may be used to make judgments about us. Writing has a very long history. It began as simple pictographs drawn on a rock, which were then combined to represent ideas and developed into more abstract symbols. Just like our writing today, early symbols were used to store information and communicate it to others. In recent years, modern technology has dramatically changed the way we communicate through writing. However, despite the increased use of computers for writing, the skill of handwriting remains important in education, employment and in everyday life. Time devoted to the teaching and learning of letter formation in the early years will pay off. Legible writing that can be produced comfortably, at speed and with little conscious effort allows a child to attend to the higher-level aspects of writing composition and content. This is important when assessments are based on written work, particularly in time-limited written examinations, which remain as a major form of assessment for many formal qualifications. Without fast and legible handwriting, students may miss out on learning opportunities and under-achieve academically. Beyond formal education, most employment situations will involve at least some handwriting and many require the communication of critical information (e.g. medical notes, prescriptions). Thus, handwriting with pen and paper still has an important role from early childhood through our adult lives, but more and more, people are shifting from paper to electronic modes of communication. Interestingly though, many personal computers now have handwriting recognition capability so that handwriting as means of interacting with computers is becoming more pervasive. It seems, therefore, that even in this modern age, handwriting remains an important skill for communication. Disponvel em: http://www.nha-handwriting.org.uk/handwriting/why-is-handwriting-important. Acesso em 29 mai.2013 According to the passage, we can infer that handwriting

(IME - 2013/2014 - 2 FASE) WHY IS HANDWRITING IMPORTANT? Jotting down a shopping list, writing a birthday card, taking down a phone message, completing a form at the bank .handwriting is part of our daily lives. It is on show to others and may be used to make judgments about us. Writing has a very long history. It began as simple pictographs drawn on a rock, which were then combined to represent ideas and developed into more abstract symbols. Just like our writing today, early symbols were used to store information and communicate it to others. In recent years, modern technology has dramatically changed the way we communicate through writing. However, despite the increased use of computers for writing, the skill of handwriting remains important in education, employment and in everyday life. Time devoted to the teaching and learning of letter formation in the early years will pay off. Legible writing that can be produced comfortably, at speed and with little conscious effort allows a child to attend to the higher-level aspects of writing composition and content. This is important when assessments are based on written work, particularly in time-limited written examinations, which remain as a major form of assessment for many formal qualifications. Without fast and legible handwriting, students may miss out on learning opportunities and under-achieve academically. Beyond formal education, most employment situations will involve at least some handwriting and many require the communication of critical information (e.g. medical notes, prescriptions). Thus, handwriting with pen and paper still has an important role from early childhood through our adult lives, but more and more, people are shifting from paper to electronic modes of communication. Interestingly though, many personal computers now have handwriting recognition capability so that handwriting as means of interacting with computers is becoming more pervasive. It seems, therefore, that even in this modern age, handwriting remains an important skill for communication. Disponvel em: http://www.nha-handwriting.org.uk/handwriting/why-is-handwriting-important. Acesso em 29 mai.2013 It is implied in the passage that

(IME - 2013/2014 - 2 FASE) WHY IS HANDWRITING IMPORTANT? Jotting down a shopping list, writing a birthday card, taking down a phone message, completing a form at the bank .handwriting is part of our daily lives. It is on show to others and may be used to make judgments about us. Writing has a very long history. It began as simple pictographs drawn on a rock, which were then combined to represent ideas and developed into more abstract symbols. Just like our writing today, early symbols were used to store information and communicate it to others. In recent years, modern technology has dramatically changed the way we communicate through writing. However, despite the increased use of computers for writing, the skill of handwriting remains important in education, employment and in everyday life. Time devoted to the teaching and learning of letter formation in the early years will pay off. Legible writing that can be produced comfortably, at speed and with little conscious effort allows a child to attend to the higher-level aspects of writing composition and content. This is important when assessments are based on written work, particularly in time-limited written examinations, which remain as a major form of assessment for many formal qualifications. Without fast and legible handwriting, students may miss out on learning opportunities and under-achieve academically. Beyond formal education, most employment situations will involve at least some handwriting and many require the communication of critical information (e.g. medical notes, prescriptions). Thus, handwriting with pen and paper still has an important role from early childhood through our adult lives, but more and more, people are shifting from paper to electronic modes of communication. Interestingly though, many personal computers now have handwriting recognition capability so that handwriting as means of interacting with computers is becoming more pervasive. It seems, therefore, that even in this modern age, handwriting remains an important skill for communication. Disponvel em: http://www.nha-handwriting.org.uk/handwriting/why-is-handwriting-important. Acesso em 29 mai.2013 According to the passage it can be stated that legible writing

[IME - 2013/2014 - 1a fase] Um cone de base circular, de vrtice V e altura h parcialmente imerso em um lquido de massa especfica , conforme as situaes I e II, apresentadas na figura acima. Em ambas as situaes, o cone est em equilbrio esttico e seu eixo cruza a superfcie do lquido, perpendicularmente, no ponto A. A razo entre o comprimento do segmento e a altura h do cone dada por