Questões - ITA | Gabarito e resoluções

(ITA - 2016 - 1 FASE) Seja ABC um tringulo equiltero e suponha que M e N so pontos pertencentes ao lado tais que BM = MN = NC. Sendo a medida, em radianos, do ngulo MN , ento o valor de cos

(ITA - 2016 - 1 FASE) Your Facial Bone Structure Has a Big Influence on How People See You () Selfies, headshots, mug shots 1photos of oneself convey more these days than snapshots ever did back in the Kodak era. 2Most digitally minded people continually post and update pictures of themselves at professional, social media and dating sites such as LinkedIn, Facebook, Match.com and Tinder. For better or worse, viewers then tend to make snap judgments about someones personality or character from a single shot. As such, 3it can be a stressful task to select the photo that conveys the best impression of ourselves. 4For those of us seeking to appear friendly and trustworthy to others, a new study underscores an old, chipper piece of advice: Put on a happy face. A newly published series of experiments by cognitive neuroscientists at New York University is reinforcing the relevance of facial expressions to perceptions of characteristics such as trustworthiness and friendliness. 5More importantly, the research also revealed the unexpected finding that perceptions of abilities such as physical strength are not dependent on facial expressions but rather on facial bone structure. The teams first experiment featured photographs of 10 different people presenting five different facial expressions each. Study subjects rated how friendly, trustworthy or strong the person in each photo appeared. A separate group of subjects scored each face on an emotional scale from very angry to very happy. And three experts not involved in either of the previous two ratings to avoid confounding results calculated the facial width-to-height ratio for each face. 6An analysis revealed that participants generally ranked people with a happy expression as friendly and trustworthy but not those with angry expressions. 7Surprisingly, participants did not rank faces as indicative of physical strength based on facial expression but graded faces that were very broad as that of a strong individual. In a second survey facial expression and facial structure were manipulated in computer-generated faces. Participants rated each face for the same traits as in the first survey, with the addition of a rating for warmth. Again, people thought a happy expression, but not an angry one, indicated friendliness, trustworthiness and in this case, warmth. The researchers then showed two additional sets of participants the same faces, this time either with areas relevant to facial expressions obscured or the width cropped. In the first variation, for faces lacking emotional cues, people could no longer perceive personality traits but could still perceive strength based on width. Similarly, for those faces lacking structural cues, people could no longer perceive strength but could still perceive personality traits based on facial expressions. In a third iteration of the survey participants had to pick four faces out of a lineup of eight faces varied for expression and width that they might select either as their financial advisor or as the winner of a power-lifting competition. As might be expected, 8participants picked faces with happier expressions as financial advisors and 9selected broader faces as belonging to power-lifting champs. In a final survey the researchers generated more than 100 variations of one individual base face by varying facial features. Participants saw two faces at a time, and then picked one as either trustworthy or high in ability or as a good financial advisor or power-lifting winner. Using these results, a computer then created an average face for each of these four categories, which were shown to a separate set of participants who had to pick which face appeared either more trustworthy or stronger. Most of the participants found the computer-generated averages to be good representations of trustworthiness or strength 10and generally saw the average financial advisor face as more trustworthy and the powerlifter face as stronger. The findings from all four surveys were published in the Personality and Social Psychology Bulletin on June 18. Adaptado de www.scientific.american.com/article/your-facial-bone-strecture-has-a-big-influence-on-how-people-see-you.(acesso em 20/8/2015) De acordo com o texto,

(ITA - 2016 - 1 Fase) Considere a expanso de um gs ideal inicialmente contido em um recipiente de 1 L sob presso de 10 atm. O processo de expanso pode ser realizado de duas maneiras diferentes, ambas temperatura constante: I. Expanso em uma etapa, contra a presso externa constante de 1 atm, levando o volume final do recipiente a 10 L. II. Expanso em duas etapas: na primeira, o gs expande contra a presso externa constante de 5 atm at atingir um volume de 2 L; na segunda etapa, o gs expande contra uma presso constante de 1 atm atingindo o volume final de 10 L. Com base nestas informaes, assinale a proposio CORRETA.

(ITA - 2016 - 1 Fase) Considere a seguinte reao qumica e a respectiva lei de velocidade experimental: 2NO(g) + O2(g) 2NO2(g) , v = k[NO]2 [O2] Para esta reao, so propostos os mecanismos reacionais I, II e III com suas etapas elementares de reao: Dos mecanismos propostos, so consistentes com a lei de velocidade observada experimentalmente

(ITA - 2016 - 1 FASE) Considere as sentenas a seguir: I. O primeiro estudo foi realizado com um grupo de 10 participantes e 3 avaliadores. II. O segundo estudo ampliou o primeiro, incluindo a avaliao sobre afetuosidade. III. O terceiro estudo calculou a fora fsica pela razo entre altura e largura da face. IV. O quarto estudo utilizou as mesmas imagens do primeiro estudo. Est(o) correta(as)

(ITA - 2016 - 1 FASE) Uma esfera S1, de raio R 0, est inscrita num cone circular reto K. Outra esfera, S2, de raio r, com 0 r R, est contida no interior de K e simultaneamente tangente esfera S1 e superfcie lateral de K. O volume de K igual a

(ITA - 2016 - 1 FASE) Um tubo de fibra ptica basicamente um cilindro longo e transparente, de dimetro d e ndice de refrao n. Se o tubo curvado, parte dos raios de luz pode escapar e no se refletir na superfcie interna do tubo. Para que haja reflexo total de um feixe de luz inicialmente paralelo ao eixo do tubo, o menor raio de curvatura interno R (ver figura) deve ser igual a:

(ITA - 2016 - 1 FASE) No circuito da figura h trs capacitores iguais, com C = 1000F, inicialmente descarregados. Com as chaves (2) abertas e as chaves (1) fechadas, os capacitores so carregados. Na sequncia, com as chaves (1) abertas e as chaves (2) fechadas, os capacitores so novamente descarregados e o processo se repete. Com a tenso no resistor R variando segundo o grfico da figura, a carga transferida pelos capacitores em cada descarga igual a:

(ITA - 2016 - 1 Fase) Uma reao hipottica de decomposio de uma substncia gasosa catalisada em superfcie metlica tem lei de velocidade de ordem zero, com uma constante de velocidade (k) igual a 103 atms1 . Sabendo que a presso inicial do reagente igual a 0,6 atm, assinale a opo que apresenta o tempo necessrio, em segundos, para que um tero do reagente se decomponha.

(ITA - 2016 - 1 FASE) De acordo com o terceiro estudo

(ITA - 2016 - 1 FASE) Considere o polinmio p com coeficientes complexos definido por p(z) = z4 + (2 + i)z3 + (2 + i)z2 + (2 + i)z + (1 + i). Podemos armar que

(ITA - 2016 - 1 Fase) Duas placas de platina so conectadas a um potenciostato e imersas em um bquer contendo uma soluo aquosa de sulfato de cobre. Entre estas duas placas ocorre a passagem de corrente eltrica. Aps certo tempo foi verificado que a cor azul, inicialmente presente na soluo, desapareceu e que houve a liberao de um gs em uma das placas de platina. A soluo, agora totalmente incolor, contm

(ITA - 2016 - 1 FASE) Uma bobina metlica circular de raio r, com N espiras e resistncia eltrica R, atravessada por um campo de induo magntica de intensidade B. Se o raio da bobina aumentado de uma frao ∆r ≪ r, num intervalo de tempo ∆t, e desconsiderando as perdas, a mxima corrente induzida ser de:

(ITA - 2016 - 1 FASE) Marque a opo em que o item sublinhado denota um qualificador

(ITA - 2016 - 1 FASE) Pintam-se N cubos iguais utilizando-se 6 cores diferentes, uma para cada face. Considerando que cada cubo pode ser perfeitamente distinguido dos demais, o maior valor possvel de N igual a