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ALEVEL2013年6月M2亚洲卷真题6678_01R_que_20130606

ALEVEL2013年6月M2亚洲卷真题6678_01R_que_20130606
ALEVEL2013年6月M2亚洲卷真题6678_01R_que_20130606

Examiner’s use only Team Leader’s use only

Turn over Instructions to Candidates

In the boxes above, write your centre number, candidate number, your surname, initials and signature.

Check that you have the correct question paper.

Answer ALL the questions.

You must write your answer to each question in the space following the question.

Whenever a numerical value of g is required, take g = 9.8 m s–2.

When a calculator is used, the answer should be given to an appropriate degree of accuracy.

Information for Candidates

A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.

Full marks may be obtained for answers to ALL questions.

The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2).

There are 7 questions in this question paper. The total mark for this paper is 75.

There are 28 pages in this question paper. Any blank pages are indicated.

Advice to Candidates

You must ensure that your answers to parts of questions are clearly labelled.

You must show sufficient working to make your methods clear to the examiner.

Answers without working may not gain full credit.

This publication may be reproduced only in accordance with

Pearson Education Ltd copyright policy.

?2013 Pearson Education Ltd.

Printer’s Log. No.

P42830A

W850/R6678/57570 5/5/5/*P42830A0128*

Paper Reference(s)

6678/01R

Edexcel GCE

Mechanics M2

Advanced/Advanced Subsidiary

Thursday 6 June 2013 – Morning

Time: 1 hour 30 minutes

Materials required for examination Items included with question papers

Mathematical Formulae (Pink) Nil

Candidates may use any calculator allowed by the regulations of the Joint

Council for Qualifications. Calculators must not have the facility for symbolic

algebra manipulation or symbolic differentiation/integration, or have

retrievable mathematical formulae stored in them.

1. A caravan of mass 600 kg is towed by a car of mass 900 kg along a straight horizontal

road. The towbar joining the car to the caravan is modelled as a light rod parallel to the road. The total resistance to motion of the car is modelled as having magnitude 300 N.

The total resistance to motion of the caravan is modelled as having magnitude 150 N. At

a given instant the car and the caravan are moving with speed 20 m s–1 and acceleration

0.2 m s–2.

(a) Find the power being developed by the car’s engine at this instant.

(5)

(b) Find the tension in the towbar at this instant.

(2) ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________

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Question 1 continued

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Q1

(Total 7 marks)

2. A ball of mass 0.2 kg is projected vertically upwards from a point O with speed 20 m s–1.

The non-gravitational resistance acting on the ball is modelled as a force of constant magnitude 1.24 N and the ball is modelled as a particle. Find, using the work-energy principle, the speed of the ball when it first reaches the point which is 8 m vertically above O.

(6) ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________

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Q2

(Total 6 marks)

3. A particle P moves along a straight line in such a way that at time t seconds its velocity

v m s–1 is given by

v = 1

2

t2 – 3t + 4

Find

(a)

the

times

when

P is at rest,

(4)

(b) the total distance travelled by P between t = 0 and t = 4.

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Q3

(Total 9 marks)

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4. A rough circular cylinder of radius 4a is fixed to a rough horizontal plane with its axis

horizontal. A uniform rod AB , of weight W and length 6a ¥ UHVWV ZLWK LWV ORZHU HQG A on the plane and a point C of the rod against the cylinder. The vertical plane through the rod is perpendicular to the axis of the cylinder. The rod is inclined at 60° to the horizontal, as shown in Figure 1.

Figure 1

(a) Show that AC = 4a ¥

(2)

The coefficient of friction between the rod and the cylinder is √33 and the coefficient of friction between the rod and the plane is ?. Given that friction is limiting at both A and C , (b) find the value of ?.

(9)

______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________60°

A B

C

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Q4

(Total 11 marks)

5. Two particles P and Q, of masses 2m and m respectively, are on a smooth horizontal table.

Particle Q is at rest and particle P collides directly with it when moving with speed u.

After the collision the total kinetic energy of the two particles is 3

4

mu2. Find

(a) the speed of Q immediately after the collision,

(10)

(b) the coefficient of restitution between the particles.

(3) ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________

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Q5

(Total 13 marks)

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2013年6月英语六级真题汇总及答案解析

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2013年6月英语六级考试真题试卷(第1套) Part I Writing (30 minutes) Directions: For this party you are allowed 30 minutes to write an essay commenting on the remark "Good habits result from resisting temptation." You can cite examples to illustrate your point. You should write at least 150 words but no more than 200 words. ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ 注意:此部分试题在答题卡1上 Part II Reading Comprehension (Skimming and Scanning) (15 minutes) Directions:In this part, you will have 15 minutes to go over the passage quickly and answer the questions on Answer Sheet 1. For questions 1-7, choose the best answer from the four choices marked A) , B) , C) and D) . For questions 8-10, complete the sentences with the information given in the passage. A Nation That's Losing Its Toolbox The scene inside the Home Depot on Weyman Avenue here would give the old-time American craftsman pause. In Aisle 34 is precut plastic flooring, the glue already in place. In Aisle 26 are prefabricated windows. Stacked near the checkout counters, and as colorful as a Fisher-Price toy, is a not-so-serious-looking power tool: a battery-operated saw-and-drill combination. And if you don't want to do it yourself, head to Aisle 23 or Aisle 35, where a help desk will arrange for an installer. It's all very handy stuff, I guess, a convenient way to be a do-it-yourselfer without being all that good with tools. But at a time when the American factory seems to be a shrinking presence, and when good manufacturing jobs have vanished, perhaps never to return, there is something deeply troubling about this dilution of American craftsmanship. This isn't a lament (伤感) - or not merely a lament - for bygone times. It's a social and cultural issue, as well as an economic one. The Home Depot approach to craftsmanship -

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2017年6月大学英语六级考试真题及答案解析(第一套完整版)

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9. complex reasoning abilities 10. interactions 听力部分: 11-15 DCADC 16-20 AABAC 21-26 BBDBC 26-30 DBADB 31-35 CDABC 36. qualities 37. charming 38. unpredictable 39. encounter 40. relaxed 41. participant 42. initiative 43. personality 44. often fascinates people and needs them to treat the machine as if it were almost human 45. By introducing a degree of forcefulness and humor, the machine could be presented as a vivid and unique character 46. if it simulated the gradual changes that occur when one person is getting to know another

仔细阅读部分: 47. exercise extraordinary power 48. is used in the nation 49. panic in the West 50. foreign oil/importing oil 51. establish a stockpile of oil 52-56 DBABC 57-61 DAACB 完形填空部分: 62-66 CDBCA 67-71 BCDAD 72-76 ACDBB 77-81 ADCBA 翻译部分: 82. her eyes closely staring at the screen 83. Not until the middle of the 18th century 84. but nothing is less cherished than time 85. If only you had been more careful 86. a special fund should be set up to boost innovation

2006年6月大学英语六级考试真题及答案

2006年6月英语六级真题 Part I Listening Comprehension (20 minutes) Section A Directions: In this section, you will hear 10 short conversations. At the end of each conversation, a question will be asked about what was said. Both the conversation and the question will be spoken only once. After each question there will be a pause. During the pause, you must read the four choices marked A), B), C) and D), and decide which is the best answer. Then mark the corresponding letter on the Answer Sheet with a single line through the center. Example: You will hear: You will read: A) 2 hours. B) 3 hours. C) 4 hours. D) 5 hours. From the conversation we know that the two were talking about some work they will start at 9 o’clock in the morning and have to finish at 2 in the afternoon. Therefore, D) “5 hours” is the correct answer. You should choose [D] on the Answer Sheet and mark it with a single line through the center. Sample Answer [A] [B] [C] [D] 1. A) She met with Thomas just a few days ago. B) She can help with the orientation program. C) She is not sure she can pass on the message. D) She will certainly try to contact Thomas. 2. A) Set the dinner table. B) Change the light bulb C) Clean the dining room. D) Hold the ladder for him. 3. A) He’d like a piece of pie. B) He’d like some coffee C) He’d rather stay in the warm room. D) He’s just had dinner with his friends. 4. A) He has managed to sell a number of cars. B) He is contented with his current position. C) He might get fired. D) He has lost his job. 5. A) Tony’s secretary. B) Paul’s girlfriend. C) Paul’s colleague. D) Tony’s wife. 6. A) He was fined for running a red light. B) He was caught speeding on a fast lane. C) He had to run quickly to get the ticket. D) He made a wrong turn at the intersection. 7. A) He has learned a lot from his own mistakes. B) He is quite experienced in taming wild dogs. C) He finds reward more effective than punishment. D) He thinks it important to master basic training skills. 8. A) At a bookstore. B) At the dentist’s. C) In a restaurant. D) In the library. 9. A) He doesn’t want Jenny to get into trouble. B) He doesn’t agree with the woman’s remark. C) He thinks Jenny’s workload too heavy at college. D) He believes most college students are running wild.

2013年12月大学英语六级真题与答案

2013年12月大学英语六级真题与答案 (参考答案) tory courses. The newer trend is to start recruiting poor and non-white students as early as the seventh grade, using innovative tools to identify kids with sophisticated verbal skills. Such pro grams can be expensive, of course, but cheap compared with the millions already invested in scholarships and grants for kids who have little chance to graduate without special support. With effort and money, the graduation gap can be closed. Washington and Lee is a small, selective school in Lexington, Va. Its student body is less than 5% black and less than 2% Latino. While the school usually graduated about 90% of its whites, the graduation rate of its blacks and Latinos had dipped to 63% by 2007. "We went through a dramatic shift," says Dawn Watkins, the vice president for student affairs. The school aggressively pushed mentoring (辅导) of minorities by other students and "partnering" with parents at a special pre-enrollment session. The school had its first-ever black homecoming. Last spring the school graduated the same proportion of minorities as it did whites. If the United States wants to keep up in the global economic race, it will have to pay systematic attention to graduating minorities, not just enrolling them. 注意:此部分试题请在答题卡1上作答。 1. What is the author's main concern about American higher education? A) The small proportion of minority students. B) The low graduation rates of minority students. C) The growing conflicts among ethnic groups. D) The poor academic performance of students. 2. What was the pride of President Barry Mills of Bowdoin College? A) The prestige of its liberal arts programs. B) Its ranking among universities in Maine. C) The high graduation rates of its students. D) Its increased enrollment of minority students. 3. What is the risk facing America? A) Its schools will be overwhelmed by the growing number of illegal immigrants. B) The rising generation will be less well educated than the previous one. C) More poor and non-white students will be denied access to college. D) It is going to lose its competitive edge in higher education. 4. How many African-American students earned their degrees in California community colleges according to a recent review? A) Fifty-six percent. C) Fifteen percent. B) Thirty-nine percent. D) Sixty-seven percent. 5. Harvard, Yale, and Princeton show almost no gap between black and white graduation rates mainly because . A) their students work harder C) their classes are generally smaller B) they recruit the best students D) they give students more attention 6. How does Amy Wilkins of the Education Trust view minority students' failure to get a degree? A) Universities are to blame. B) Students don't work hard.

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