(Unesp 2002) Uma esfera, A, de massa mA , movendo-se com velocidade de 2,0 m/s ao longo de uma direção x, colide frontalmente com outra esfera, B, de massa mB em repouso, livres da ação de quaisquer forças externas. Depois da colisão, cada uma das esferas passa a se deslocar com velocidade de 1,0m/s na direção do eixo x, nos sentidos indicados na figura. Nestas condições, pode-se afirmar que a razão entre as massas é:
(UNESP - 2002) Os coelhos se reproduzem mais rapidamente que a maioria dos mamferos. Considere uma colnia de coelhos que se inicia com um nico casal de coelhos adultos e denote por an o nmero de casais adultos desta colnia ao final de n meses. Se a1 = 1, a2 = 1 e, para n 2, an + 1 = an + an - 1, o nmero de casais de coelhos adultos na colnia ao final do quinto ms ser
(UNESP - 2002) Adam Smith, autor de A Riqueza das Naes (1776), referindo-se produo e aquisio de riquezas, observou: No com o ouro ou a prata, mas com o trabalho que toda a riqueza do mundo foi provida na origem, e seu valor, para aqueles que a possuem e desejam troc-la por novos produtos, precisamente igual quantidade de trabalho que permite algum adquirir ou dominar. Os pontos de vista de Adam Smith opem-se s concepes
(UNESP - 2002) Para manter funcionando um chuveiro eltrico durante um banho de 15 minutos e um forno de micro-ondas durante 5 minutos, as quantidades de gua que precisam passar pelas turbinas de certa usina hidreltrica so, respectivamente, 4000 litros e 200 litros. Suponha que, para esses eletrodomsticos, a reduo de consumo ser proporcional reduo da quantidade de gua que passa pelas turbinas. Com base nisso, se o banho for reduzido para 9 minutos e o tempo de utilizao do micro-ondas for reduzido de 20%, a quantidade total de gua utilizada na usina para movimentar as turbinas, durante o banho mais o uso do micro-ondas, ser, aps as redues, de
(Unesp 2002) Quatro amigos, Pedro, Luísa, João e Rita, vão ao cinema, sentando-se em lugares consecutivos na mesma fila. O número de maneiras que os quatro podem ficar dispostos de forma que Pedro e Luísa fiquem sempre juntos e João e Rita fiquem sempre juntos é
(Unesp 2002) Considere a seguinte sequência de reações: Com respeito a estas reações, são feitas as afirmações: I. X é CaC2. II. Y é H2C CH2. III. O produto final é o polímero polivinilacetileno. São corretas as afirmações:
(Unesp 2002) Considere a seguinte sequência de reações: Com respeito a estas reações, são feitas as afirmações: I. X é CaC2. II. Y é H2C CH2. III. O produto final é o polímero polivinilacetileno. São corretas as afirmações:
(UNESP - 2002) A sombra de um prdio, num terreno plano, numa determinada hora do dia,mede 15 m. Nesse mesmo instante, prximo ao prdio, a sombra de um poste de altura 5 mmede 3 m. A altura do prdio, em metros,
(UNESP - 2002) No perodo denominado Baixa Idade Mdia, houve desenvolvimento do comrcio e florescimento de cidades. O crescimento econmico da Europa ocidental intensificou-se com a expanso ultramarina do sculo XV. Considera-se essencial para tal expanso:
(UNESP -2002) Texto 1 APPROPRIATE FOR ALL AGES Japanese toymakers are focusing on senior citizens by Hideko Takayama Much has been made in Japan of the clout of teenage girls, the arbiters of taste and uncrowned queens of the fashion industry. But when it comes to toys, a radically different demographic is beginning to call the shots. Japanese toymakers now see senior citizens as their most dynamic market. Nearly 22 million Japanese - 17.4 percent of the population - are over 65, and that number is expected to top 25 percent by 2020. Three million senior citizens live alone, and 1.55 million Japanese are senile (their numbers are also expected to grow rapidly). This aging population presents a huge silver market - estimated at 50 trillion yen ($416 billion) - for everything from beds to cosmetics to home-care nurses and helpers. Major industries such as electronics, construction and foodstuffs have already begun developing products tailored to old folks: robots to help out around the house, homes that have no steps or stairs and healthy, oil-free foods. The toy industry wants a piece of the action. There is a great potential, says Yoshinori Haga, an official at Bandai, the biggest toymaker in Japan. Toys can be used for entertainment, to give the old people nostalgic feelings or to be a companion for those who live alone. (...) Indeed, playthings are not just for fun anymore. Toshimitsu Musha, president of the Brain Functions Lab near Tokyo, argues that playing with toys can help human brains stay active and sharp. While researching Alzheimers disease, Musha found that art therapy such as painting and claywork helped to prevent the brains of Alzheimers patients from deteriorating. What works best for the elderly is something that they enjoy, where they have to use their brain and which requires concentration from 30 minutes to one hour, he says. Toymakers still face a critical problem, though: the average household saving among seniors is 24 million yen ($200,000), almost double that of a working household, but they are far more cautious about what they buy than teens. The key may be appealing to a younger generation, who every year are stumped for gift ideas before Septembers Respect for the Aged Day. In the end, teens may have to jump-start this trend, too. (Newsweek. August 6, 2001, p.48.) Texto 2 GROWING OLD IN CYBERSPACE Senior citizens, long overlooked, are the latest target market on the Web By Staff Writer Martha Slud As more and more senior citizens go online, Web developers and marketers are beginning to pay more attention to what they can offer older people, and how to bring Internet service to a population that has been among the slowest to embrace the computer. While their numbers are still relatively small, online seniors are an attractive target from a marketing point of view for several reasons. Many retired people are logging a significant amount of time each day on the Web; they are a well-educated population; and they often have discretionary dollars to spend on travel, financial services and other growing sectors of electronic commerce. No ones really addressed seniors on the Internet, and really, why should they? said William Belhumeur, president of San Francisco-based Seniors.com. Theyve been attentive to the groups that have picked it up first; nows really the time to start picking up the later adopters. (...) But there still are numerous barriers to building up the senior market online, said Ekaterina Walsh, an analyst at Internet research firm Forrester Research. Some of the e-commerce categories considered most likely to appeal to seniors - such as online purchases of prescription drugs or groceries - are in fact the least likely sectors for new Web users to explore, she said. The problem is that with age, people become more pessimistic toward technology, she said. It doesnt mean that its not possible, but marketers who are looking at attracting this particular segment, should be very careful in emphasizing two things - ease of use and value. (...) Several companies are trying to break through the technological barrier by bringing Web technology to retirement homes and other senior facilities, in hopes of providing easier, streamlined Internet access to older people. (...) Andrew Egan, president of Adventura Publishing, which operates Senior-Citizen.com, predicted that senior citizen offerings on the Web are going to mushroom as older people get more comfortable going on the Internet. I think youre going to see a lot of senior Web sites coming online, he said. A lot of people are trying to capitalize on it. (Extrado de CNN America, INC. 2001. http://cnnfn.com/2000/02/02/senior_living/ q_retire_internet/) Indique a alternativa que expressa o mesmo significado de: Japanese toymakers now see senior citizens as their most dynamic market.
(Unesp 2001/Adaptada) Uma solução aquosa de cloreto de sódio deve ter 0,90% em massa do sal para que seja utilizada como solução fisiológica (soro). O volume de 10,0mL de uma solução aquosa de cloreto de sódio foi titulado com solução aquosa 0,10mol/L de nitrato de prata, exigindo exatamente 20,0mL de titulante. Considere as afirmações: I) A porcentagem em massa de NaCl na solução é de 1,17% II) A solução de cloreto de sódio dada não pode ser utilizada como soro fisiológico. III) Supondo 100% de rendimento na reação de precipitação envolvida na titulação, formou-se 0,58 g de cloreto de prata. Dados: massas molares, em g/mol: Na = 23,0; Cℓ = 35,5; Ag = 107,9; densidade da solução aquosa de NaCℓ = 1,0g/mL. Está(ão) correta(s):
(UNESP - 2001) IELTS The International English Language Testing System The IELTS is an increasingly valuable worldwide test to assess your proficiency in English. It tests all four skills - Reading, Writing, Listening, and Speaking. There are two options offered - Academic and General Training. The Academic option is for those who wish to undertake undergraduate or postgraduate studies in an English-speaking country, whereas the General Training option is for emigration purposes, to take a secondary course or a professional training course. Universities in Great Britain, Canada, Australia, New Zealand and a growing number in the USA and Europe ask for the IELTS as proof that a foreign student is able to study and live in an English-speaking country. In Brazil, when applying for a grant, it is one of the English language tests applicants are asked to present to CNPq, CAPES, FAPESP and other funding institutions, including The British Council. Not only for study purposes but also for those who wish for funding to present papers at conferences, do training courses or training programmes abroad. A candidate may take the test more than once, however, there must be a three-month interval between one test and the next. Additionally there is no expire date, but a University or agency may ask for a more recent result if the test was taken a long time ago. (Eddie Edmundson, R. Turner, M. Hermens, A. Francis. New Routes, n 10, July 2000.) As the IELTS tests all four skills, it ___________ worldwide to assess proficiency in English.
(UNESP - 2001) Considere a matriz A = (aij)2x2, definida por aij = -1 + 2i + j, para 1 i 2,1 j 2. O determinante de A :
(Unesp 2001) Dois produtos químicos P e Q são usados em um laboratório. Cada 1g (grama) do produto P custa R$ 0,03 e cada 1g do produto Q custa R$ 0,05. Se 100g de uma mistura dos dois produtos custam R$ 3,60, a quantidade do produto P contida nesta mistura é
(UNESP - 2002) O prefeito de uma cidade pretende colocar em frente prefeitura um mastro com uma bandeira, que ser apoiado sobre uma pirmide de base quadrada feita de concreto macio como mostra a figura. Sabendo que a aresta da base da pirmide terme que a altura da pirmide ser dem, o volume de concreto (em) necessrio para a construo da pirmide ser: