THIS IS A NEW SPECIFICATION

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "THIS IS A NEW SPECIFICATION"

Transcript

1 THIS IS A NEW SPECIFICATION ADVANCED SUBSIDIARY GCE PHYSICS A Mechanics G481 *OCE/T69962* Candidates answer on the question paper OCR Supplied Materials: Formulae, Data and Relationships Booklet Other Materials Required: Electronic calculator Ruler Protractor Thursday 21 May 2009 Afternoon Duration: 1 hour * G * INSTRUCTIONS TO CANDIDATES Write your name clearly in capital letters, your Centre Number and Candidate Number in the boxes above. Use black ink. Pencil may be used for graphs and diagrams only. Read each question carefully and make sure that you know what you have to do before starting your answer. Answer all the questions. Do not write in the bar codes. Write your answer to each question in the space provided, however additional paper may be used if necessary. INFORMATION FOR CANDIDATES The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 60. Where you see this icon you will be awarded marks for the quality of written communication in your answer. This means for example, you should ensure that text is legible and that spelling, punctuation and grammar are accurate so that meaning is clear; organise information clearly and coherently, using specialist vocabulary when appropriate. You may use an electronic calculator. This document consists of 16 pages. Any blank pages are indicated. FOR EXAMINER S USE Qu. Max. Mark TOTAL 60 [J/500/8054] SP (KN) T69962/5 OCR is an exempt Charity Turn over

2 2 Answer all the questions. 1 (a) State a similarity and a difference between distance and displacement. (i) similarity: [1] (ii) difference: [1] (b) Fig. 1.1 shows two airports A and C. north B C sea land A not to scale Fig. 1.1 An aircraft flies due north from A for a distance of 360 km ( m) to point B. Its average speed between A and B is 170 m s 1. At B the aircraft is forced to change course and flies due east for a distance of 100 km to arrive at C. (i) Calculate the time of the journey from A to B. time =... s [1]

3 (ii) 3 Draw a labelled displacement vector triangle below. Use it to determine the magnitude of the displacement in km of the aircraft at C from A. displacement =... km [3] [Total: 6] Turn over

4 2 Fig. 2.1 shows a graph of velocity against time for an object travelling in a straight line. 4 velocity v u 0 t 0 time Fig. 2.1 The object has a constant acceleration a. In a time t its velocity increases from u to v. (a) Describe how the graph of Fig. 2.1 can be used to determine (i) the acceleration a of the object In your answer, you should use appropriate technical terms, spelled correctly [1] (ii) the displacement s of the object [1]

5 5 (b) Use the graph of Fig. 2.1 to show that the displacement s of the object is given by the equation: s = ut at 2 (c) In order to estimate the acceleration g of free fall, a student drops a large stone from a tall building. The height of the building is known to be 32 m. Using a stopwatch, the time taken for the stone to fall to the ground is 2.8 s. [2] (i) Use this information to determine the acceleration of free fall. acceleration =... m s 2 [2] (ii) One possible reason why your answer to (c)(i) is smaller than the accepted value of 9.81 m s 2 is the reaction time of the student. State another reason why the answer is smaller than 9.81 m s [1] [Total: 7] Turn over

6 6 3 A skydiver jumps from a stationary hot-air balloon several kilometres above the ground. (a) In terms of acceleration and forces, explain the motion of the skydiver immediately after jumping... at a time before terminal velocity is reached... at terminal velocity [6]

7 (b) In the final stage of the fall, the skydiver is falling through air at a constant speed. The skydiver s kinetic energy does not change even though there is a decrease in the gravitational potential energy. State what happens to this loss of gravitational potential energy [1] (c) Fig. 3.1 shows a sketch graph of the variation of the velocity v of the skydiver with time t. v / m s t / s Fig. 3.1 Suggest the changes to the graph of Fig. 3.1, if any, for a more massive (heavier) skydiver of the same shape.... [2] [Total: 9] Turn over

8 4 (a) Define work done by a force [2] (b) Define power.... [1] (c) Explain why the efficiency of a mechanical device can never be 100%.... [1] (d) A car has a total mass of 810 kg. Its speed changes from zero to 30 m s 1 in a time of 12 s. (i) Calculate the change in the kinetic energy of the car. change in kinetic energy =... J [2] (ii) Calculate the average power generated by the car engine. Assume that the power generated by the engine of the car is entirely used in increasing the kinetic energy of the car. power =...W [1]

9 (iii) 9 The actual efficiency of the car is 25%. The car takes 18 kg of petrol to fill its tank. The energy provided per kilogram of petrol is 46 MJ kg 1. The drag force acting on the car at a constant speed of 30 m s 1 is 500 N. 1 Calculate the work done against the drag force per second. work done per second =... J s 1 [1] 2 Calculate the total distance the car can travel on a full tank of petrol when travelling at a constant speed of 30 m s 1. distance =... m [3] [Total: 11] Turn over

10 5 (a) Fig. 5.1 shows a wooden block motionless on an inclined ramp. 10 block ramp W Fig. 5.1 The angle between the ramp and the horizontal is θ. (i) The weight W of the block is already shown on Fig Complete the diagram by showing the normal contact (reaction) force N and the frictional force F acting on the block. [2] (ii) Write an equation to show how F is related to W and θ [1] (b) Fig. 5.2 shows a kitchen cupboard securely mounted to a vertical wall. The cupboard rests on a support at A. wall screw F cupboard 75 cm A support 12 cm 200 N Fig. 5.2 The total weight of the cupboard and its contents is 200 N. The line of action of its weight is at a distance of 12 cm from A. The screw securing the cupboard to the wall is at a vertical distance of 75 cm from A.

11 (i) State the principle of moments. 11 In your answer, you should use appropriate technical terms, spelled correctly [2] (ii) The direction of the force F provided by the screw on the cupboard is horizontal as shown in Fig Take moments about A. Determine the value of F. F =...N [2] (iii) The cross-sectional area under the head of the screw in contact with the cupboard is m 2. Calculate the pressure on the cupboard under the screw head. pressure =... Pa [2] (iv) State and explain how your answer to (iii) would change, if at all, if the same screw was secured much closer to A [2] [Total: 11] Turn over

12 12 6 In February 1999 NASA launched its Stardust spacecraft on a mission to collect dust particles from the comet Tempel 1. After a journey of m that took 6.9 years, Stardust returned to Earth with samples of the dust particles embedded in a special low-density gel. When a dust particle hits the gel, it buries itself in the gel creating a cone-shaped track as shown in Fig The length of the track is typically 200 times the diameter of the dust particle. not to scale cone-shaped track gel Fig. 6.1 (a) Calculate the average speed in m s 1 of Stardust during its voyage. speed =... m s 1 [2] (b) Calculate the average stopping force produced by the gel for a dust particle of diameter 0.70 mm and mass kg travelling at a velocity of m s 1 relative to Stardust. force =...N [3] [Total: 5]

13 7 (a) On the axes of Fig. 7.1, sketch a stress against strain graph for a typical ductile material. 13 stress 0 0 strain Fig. 7.1 [2] (b) Circle from the list below a material that is ductile. jelly copper ceramic glass [1] (c) Define ultimate tensile strength of a material.... [1] (d) State Hooke s law.... [1] Turn over

14 (e) Fig. 7.2 shows a mechanism for firing a table tennis ball vertically into the air. 14 ball platform spring spring fixed to plate plate pull and release to fire ball Fig. 7.2 The spring has a force constant of 75 N m 1. The ball is placed on the platform at the top of the spring. (i) The spring is compressed by m by pulling the platform. Calculate the force exerted by the compressed spring on the ball immediately after the spring is released. Assume both the spring and the platform have negligible mass. force =...N [2] (ii) The mass of the ball is kg. Calculate the initial acceleration of the ball. acceleration =... m s 2 [1]

15 (iii) 15 Calculate the maximum height that could be gained by the ball. Assume all the elastic potential energy of the spring is converted into gravitational potential energy of the ball. height =... m [3] [Total: 11] END OF QUESTION PAPER

16 16 PLEASE DO NOT WRITE ON THIS PAGE Copyright Information OCR is committed to seeking permission to reproduce all third-party content that it uses in its assessment materials. OCR has attempted to identify and contact all copyright holders whose work is used in this paper. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced in the OCR Copyright Acknowledgements Booklet. This is produced for each series of examinations, is given to all schools that receive assessment material and is freely available to download from our public website ( after the live examination series. If OCR has unwittingly failed to correctly acknowledge or clear any third-party content in this assessment material, OCR will be happy to correct its mistake at the earliest possible opportunity. For queries or further information please contact the Copyright Team, First Floor, 9 Hills Road, Cambridge CB2 1PB. OCR is part of the Cambridge Assessment Group; Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.

Thursday 12 January 2012 Afternoon

Thursday 12 January 2012 Afternoon Thursday 12 January 2012 Afternoon AS GCE PHYSICS A G481 Mechanics *G411560112* Candidates answer on the Question Paper. OCR supplied materials: Data, Formulae and Relationships Booklet (sent with general

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education *4358398658* GREEK 0543/04 Paper 4 Writing May/June 2015 1 hour Candidates answer on the Question

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education *3148288373* GREEK 0543/04 Paper 4 Writing May/June 2016 1 hour Candidates answer on the Question

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education *8175930111* GREEK 0543/04 Paper 4 Writing May/June 2017 1 hour Candidates answer on the Question

Διαβάστε περισσότερα

the total number of electrons passing through the lamp.

the total number of electrons passing through the lamp. 1. A 12 V 36 W lamp is lit to normal brightness using a 12 V car battery of negligible internal resistance. The lamp is switched on for one hour (3600 s). For the time of 1 hour, calculate (i) the energy

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education *1880009435* GREEK 0543/04 Paper 4 Writing May/June 2018 1 hour Candidates answer on the Question

Διαβάστε περισσότερα

Thursday 17 May 2012 Morning

Thursday 17 May 2012 Morning Thursday 17 May 2012 Morning AS GCE PHYSICS A G481 Mechanics *G411700612* Candidates answer on the Question Paper. OCR supplied materials: Data, Formulae and Relationships Booklet (sent with general stationery)

Διαβάστε περισσότερα

Tuesday 24 January 2012 Afternoon

Tuesday 24 January 2012 Afternoon Tuesday 24 January 2012 Afternoon A2 GCE PHYSICS A G484 The Newtonian World *G411590112* Candidates answer on the Question Paper. OCR supplied materials: Data, Formulae and Relationships Booklet (sent

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *2517291414* GREEK 0543/02 Paper 2 Reading and Directed Writing May/June 2013 1 hour 30 minutes

Διαβάστε περισσότερα

*2354431106* GREEK 0543/02 Paper 2 Reading and Directed Writing May/June 2009

*2354431106* GREEK 0543/02 Paper 2 Reading and Directed Writing May/June 2009 UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *2354431106* GREEK 0543/02 Paper 2 Reading and Directed Writing May/June 2009 1 hour 30 minutes

Διαβάστε περισσότερα

Advanced Subsidiary Unit 1: Understanding and Written Response

Advanced Subsidiary Unit 1: Understanding and Written Response Write your name here Surname Other names Edexcel GE entre Number andidate Number Greek dvanced Subsidiary Unit 1: Understanding and Written Response Thursday 16 May 2013 Morning Time: 2 hours 45 minutes

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education GREEK 0543/04 Paper 4 Writing For Examination from 2015 SPECIMEN PAPER Candidates answer on the Question

Διαβάστε περισσότερα

Potential Dividers. 46 minutes. 46 marks. Page 1 of 11

Potential Dividers. 46 minutes. 46 marks. Page 1 of 11 Potential Dividers 46 minutes 46 marks Page 1 of 11 Q1. In the circuit shown in the figure below, the battery, of negligible internal resistance, has an emf of 30 V. The pd across the lamp is 6.0 V and

Διαβάστε περισσότερα

Wednesday 20 May 2015 Afternoon

Wednesday 20 May 2015 Afternoon Oxford Cambridge and RSA Wednesday 20 May 2015 Afternoon LEVEL 3 CERTIFICATE ENGINEERING H865/01 Mathematical Techniques and Applications for Engineers * 5 1 0 8 5 0 0 8 2 4 * Candidates answer on the

Διαβάστε περισσότερα

Wednesday 11 June 2014 Afternoon

Wednesday 11 June 2014 Afternoon Wednesday 11 June 2014 Afternoon A2 GCE PHYSICS A G484/01 The Newtonian World *3270355010* Candidates answer on the Question Paper. OCR supplied materials: Data, Formulae and Relationships Booklet (sent

Διαβάστε περισσότερα

2821 Friday 9 JUNE 2006 Morning 1 hour

2821 Friday 9 JUNE 2006 Morning 1 hour OXFORD CAMBRIDGE AND RSA EXAMINATIONS Advanced Subsidiary GCE PHYSICS A Forces and Motion 2821 Friday 9 JUNE 2006 Morning 1 hour Candidates answer on the question paper. Additional materials: Electronic

Διαβάστε περισσότερα

Paper Reference. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced. Thursday 11 June 2009 Morning Time: 1 hour 30 minutes

Paper Reference. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced. Thursday 11 June 2009 Morning Time: 1 hour 30 minutes Centre No. Candidate No. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced Thursday 11 June 2009 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical Formulae

Διαβάστε περισσότερα

[1] P Q. Fig. 3.1

[1] P Q. Fig. 3.1 1 (a) Define resistance....... [1] (b) The smallest conductor within a computer processing chip can be represented as a rectangular block that is one atom high, four atoms wide and twenty atoms long. One

Διαβάστε περισσότερα

Paper Reference. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing. Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes

Paper Reference. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing. Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes Centre No. Candidate No. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes Materials required for examination Nil Paper Reference

Διαβάστε περισσότερα

PHYA4/2. (JUN14PHYA4201) WMP/Jun14/PHYA4/2/E4. General Certificate of Education Advanced Level Examination June 2014

PHYA4/2. (JUN14PHYA4201) WMP/Jun14/PHYA4/2/E4. General Certificate of Education Advanced Level Examination June 2014 Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Physics A General Certificate of Education Advanced Level Examination June 2014 PHYA4/2 Question

Διαβάστε περισσότερα

Friday 25 May 2012 Afternoon

Friday 25 May 2012 Afternoon Friday 25 May 2012 Afternoon AS GCE PHYSICS A G482 Electrons, Waves and Photons *G411720612* Candidates answer on the Question Paper. OCR supplied materials: Data, Formulae and Relationships Booklet (sent

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level www.xtremepapers.com Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level *1953185037* PHYSICS 9702/21 Paper 2 AS Structured Questions May/June 2015 1 hour

Διαβάστε περισσότερα

Math 6 SL Probability Distributions Practice Test Mark Scheme

Math 6 SL Probability Distributions Practice Test Mark Scheme Math 6 SL Probability Distributions Practice Test Mark Scheme. (a) Note: Award A for vertical line to right of mean, A for shading to right of their vertical line. AA N (b) evidence of recognizing symmetry

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level * 0 5 1 0 3 4 8 7 8 5 * MATHEMATICS (SYLLABUS D) 4024/21 Paper 2 May/June 2013 Candidates answer on the

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education *9458676952* GREEK 0543/03 Paper 3 Speaking Role Play Card One 1 March 30 April 2015 No Additional

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education GREEK 0543/03 Paper 3 Speaking and Listening Role Play Booklet One For Examination from 2011

Διαβάστε περισσότερα

G485. PHYSICS A Fields, Particles and Frontiers of Physics ADVANCED GCE. Tuesday 21 June 2011 Morning PMT. Duration: 1 hour 45 minutes

G485. PHYSICS A Fields, Particles and Frontiers of Physics ADVANCED GCE. Tuesday 21 June 2011 Morning PMT. Duration: 1 hour 45 minutes ADVANCED GCE PHYSICS A Fields, Particles and Frontiers of Physics G485 *G410360611* Candidates answer on the question paper. OCR Supplied Materials: Data, Formulae and Relationships Booklet Other Materials

Διαβάστε περισσότερα

(1) Describe the process by which mercury atoms become excited in a fluorescent tube (3)

(1) Describe the process by which mercury atoms become excited in a fluorescent tube (3) Q1. (a) A fluorescent tube is filled with mercury vapour at low pressure. In order to emit electromagnetic radiation the mercury atoms must first be excited. (i) What is meant by an excited atom? (1) (ii)

Διαβάστε περισσότερα

PhysicsAndMathsTutor.com

PhysicsAndMathsTutor.com PhysicsAndMathsTutor.com June 2005 1. A car of mass 1200 kg moves along a straight horizontal road. The resistance to motion of the car from non-gravitational forces is of constant magnitude 600 N. The

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level * 6 3 1 7 7 7 6 4 0 6 * MATHEMATICS (SYLLABUS D) 4024/21 Paper 2 October/November 2013 Candidates answer

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level *9048802011* PHYSICS 9702/22 Paper 2 AS Structured

Διαβάστε περισσότερα

Nuclear Physics 5. Name: Date: 8 (1)

Nuclear Physics 5. Name: Date: 8 (1) Name: Date: Nuclear Physics 5. A sample of radioactive carbon-4 decays into a stable isotope of nitrogen. As the carbon-4 decays, the rate at which the amount of nitrogen is produced A. decreases linearly

Διαβάστε περισσότερα

PHYA1. General Certificate of Education Advanced Subsidiary Examination June 2012. Particles, Quantum Phenomena and Electricity

PHYA1. General Certificate of Education Advanced Subsidiary Examination June 2012. Particles, Quantum Phenomena and Electricity Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Physics A Unit 1 For this paper you must have: l a pencil and a ruler l a calculator l a Data

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *6301456813* GREEK 0543/03 Paper 3 Speaking Role Play Card One 1 March 30

Διαβάστε περισσότερα

INSTRUCTIONS TO CANDIDATES

INSTRUCTIONS TO CANDIDATES SPECIMEN EL Entry Level Certificate in Classical Greek R446: Language Test 1: Vocabulary, Grammar and Origins of Words Candidates answer on the Question Paper OCR Supplied Materials: None Duration: 20

Διαβάστε περισσότερα

Figure 1 T / K Explain, in terms of molecules, why the first part of the graph in Figure 1 is a line that slopes up from the origin.

Figure 1 T / K Explain, in terms of molecules, why the first part of the graph in Figure 1 is a line that slopes up from the origin. Q1.(a) Figure 1 shows how the entropy of a molecular substance X varies with temperature. Figure 1 T / K (i) Explain, in terms of molecules, why the entropy is zero when the temperature is zero Kelvin.

Διαβάστε περισσότερα

Mean bond enthalpy Standard enthalpy of formation Bond N H N N N N H O O O

Mean bond enthalpy Standard enthalpy of formation Bond N H N N N N H O O O Q1. (a) Explain the meaning of the terms mean bond enthalpy and standard enthalpy of formation. Mean bond enthalpy... Standard enthalpy of formation... (5) (b) Some mean bond enthalpies are given below.

Διαβάστε περισσότερα

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch:

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch: HOMEWORK 4 Problem a For the fast loading case, we want to derive the relationship between P zz and λ z. We know that the nominal stress is expressed as: P zz = ψ λ z where λ z = λ λ z. Therefore, applying

Διαβάστε περισσότερα

Thursday 15 June 2017 Morning

Thursday 15 June 2017 Morning Oxford Cambridge and RSA Thursday 15 June 2017 Morning GCSE CLASSICAL GREEK B402/01 Classical Greek Language 2 (History) *6746000396* Candidates answer on the Question Paper. OCR supplied materials: None

Διαβάστε περισσότερα

Modern Greek Extension

Modern Greek Extension Centre Number 2017 HIGHER SCHOOL CERTIFICATE EXAMINATION Student Number Modern Greek Extension Written Examination General Instructions Reading time 10 minutes Working time 1 hour and 50 minutes Write

Διαβάστε περισσότερα

PhysicsAndMathsTutor.com 1

PhysicsAndMathsTutor.com 1 PhysicsAndMathsTutor.com 1 Q1. The magnetic flux through a coil of N turns is increased uniformly from zero to a maximum value in a time t. An emf, E, is induced across the coil. What is the maximum value

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 19/5/2007

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 19/5/2007 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Αν κάπου κάνετε κάποιες υποθέσεις να αναφερθούν στη σχετική ερώτηση. Όλα τα αρχεία που αναφέρονται στα προβλήματα βρίσκονται στον ίδιο φάκελο με το εκτελέσιμο

Διαβάστε περισσότερα

Candidate Number. General Certificate of Education Advanced Level Examination June 2010

Candidate Number. General Certificate of Education Advanced Level Examination June 2010 Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials General Certificate of Education Advanced Level Examination June 2010 Question 1 2 Mark Physics

Διαβάστε περισσότερα

DESIGN OF MACHINERY SOLUTION MANUAL h in h 4 0.

DESIGN OF MACHINERY SOLUTION MANUAL h in h 4 0. DESIGN OF MACHINERY SOLUTION MANUAL -7-1! PROBLEM -7 Statement: Design a double-dwell cam to move a follower from to 25 6, dwell for 12, fall 25 and dwell for the remader The total cycle must take 4 sec

Διαβάστε περισσότερα

Paper Reference. Paper Reference(s) 1776/01 Edexcel GCSE Modern Greek Paper 1 Listening and Responding

Paper Reference. Paper Reference(s) 1776/01 Edexcel GCSE Modern Greek Paper 1 Listening and Responding Centre No. Candidate No. Paper Reference 1 7 7 6 0 1 Surname Signature Paper Reference(s) 1776/01 Edexcel GCSE Modern Greek Paper 1 Listening and Responding Thursday 24 May 2007 Morning Time: 45 minutes

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education GREEK 0543/03 Paper 3 Speaking Role Play Card One 1 March 30 April 2010

Διαβάστε περισσότερα

Paper Reference. Paper Reference(s) 1776/01 Edexcel GCSE Modern Greek Paper 1 Listening and Responding

Paper Reference. Paper Reference(s) 1776/01 Edexcel GCSE Modern Greek Paper 1 Listening and Responding Centre No. Candidate No. Paper Reference 1 7 7 6 0 1 Surname Signature Paper Reference(s) 1776/01 Edexcel GCSE Modern Greek Paper 1 Listening and Responding Friday 18 June 2010 Morning Time: 45 minutes

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education www.xtremepapers.com UNIVERSITY OF CMRIDGE INTERNTIONL EXMINTIONS International General Certificate of Secondary Education *3788429633* GREEK 0543/03 Paper 3 Speaking and Listening Role Play ooklet One

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education GREEK 0543/03 Paper 3 Speaking Role Play Card One For Examination from 2015 SPECIMEN ROLE PLAY Approx.

Διαβάστε περισσότερα

In your answer, you should make clear how evidence for the size of the nucleus follows from your description

In your answer, you should make clear how evidence for the size of the nucleus follows from your description 1. Describe briefly one scattering experiment to investigate the size of the nucleus of the atom. Include a description of the properties of the incident radiation which makes it suitable for this experiment.

Διαβάστε περισσότερα

Paper Reference R. Statistics S1 Advanced/Advanced Subsidiary. Tuesday 10 June 2014 Morning Time: 1 hour 30 minutes

Paper Reference R. Statistics S1 Advanced/Advanced Subsidiary. Tuesday 10 June 2014 Morning Time: 1 hour 30 minutes Centre No. Candidate No. Paper Reference(s) 6683/01R Edexcel GCE Statistics S1 Advanced/Advanced Subsidiary Tuesday 10 June 2014 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical

Διαβάστε περισσότερα

MECHANICAL PROPERTIES OF MATERIALS

MECHANICAL PROPERTIES OF MATERIALS MECHANICAL PROPERTIES OF MATERIALS! Simple Tension Test! The Stress-Strain Diagram! Stress-Strain Behavior of Ductile and Brittle Materials! Hooke s Law! Strain Energy! Poisson s Ratio! The Shear Stress-Strain

Διαβάστε περισσότερα

Paper Reference. Modern Greek Paper 1 Listening and Responding. Friday 15 May 2009 Afternoon Time: 45 minutes (+5 minutes reading time)

Paper Reference. Modern Greek Paper 1 Listening and Responding. Friday 15 May 2009 Afternoon Time: 45 minutes (+5 minutes reading time) Centre No. Candidate No. Paper Reference 1 7 7 6 0 1 Surname Signature Paper Reference(s) 1776/01 Edexcel GCSE Modern Greek Paper 1 Listening and Responding Friday 15 May 2009 Afternoon Time: 45 minutes

Διαβάστε περισσότερα

Candidate Number. General Certificate of Secondary Education Higher Tier November 2013

Candidate Number. General Certificate of Secondary Education Higher Tier November 2013 Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Pages Mark General Certificate of Secondary Education Higher Tier November 2013 3 4 5 Mathematics

Διαβάστε περισσότερα

Paper Reference. Paper Reference(s) 7615/01 London Examinations GCE Modern Greek Ordinary Level. Friday 14 May 2010 Afternoon Time: 3 hours

Paper Reference. Paper Reference(s) 7615/01 London Examinations GCE Modern Greek Ordinary Level. Friday 14 May 2010 Afternoon Time: 3 hours Centre No. Candidate No. Paper Reference 7 6 1 5 0 1 Surname Signature Paper Reference(s) 7615/01 London Examinations GCE Modern Greek Ordinary Level Friday 14 May 2010 Afternoon Time: 3 hours Initial(s)

Διαβάστε περισσότερα

Capacitors - Capacitance, Charge and Potential Difference

Capacitors - Capacitance, Charge and Potential Difference Capacitors - Capacitance, Charge and Potential Difference Capacitors store electric charge. This ability to store electric charge is known as capacitance. A simple capacitor consists of 2 parallel metal

Διαβάστε περισσότερα

Volume of a Cuboid. Volume = length x breadth x height. V = l x b x h. The formula for the volume of a cuboid is

Volume of a Cuboid. Volume = length x breadth x height. V = l x b x h. The formula for the volume of a cuboid is Volume of a Cuboid The formula for the volume of a cuboid is Volume = length x breadth x height V = l x b x h Example Work out the volume of this cuboid 10 cm 15 cm V = l x b x h V = 15 x 6 x 10 V = 900cm³

Διαβάστε περισσότερα

INSTRUCTIONS TO CANDIDATES

INSTRUCTIONS TO CANDIDATES SPECIMEN EL Entry Level Certificate in Classical Greek R446: Language Test 2: Comprehension and Translation Skills Candidates answer on the Question Paper OCR Supplied Materials: None Duration: 20 minutes

Διαβάστε περισσότερα

Date Morning/Afternoon Time allowed: 1 hour 30 minutes

Date Morning/Afternoon Time allowed: 1 hour 30 minutes *0000000000* GCSE (9 1) Mathematics J560/06 Paper 6 (Higher Tier) Practice Paper Date Morning/Afternoon Time allowed: 1 hour 30 minutes You may use: A scientific or graphical calculator Geometrical instruments

Διαβάστε περισσότερα

Review Test 3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Review Test 3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Review Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the exact value of the expression. 1) sin - 11π 1 1) + - + - - ) sin 11π 1 ) ( -

Διαβάστε περισσότερα

CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education PHYSICS 0625/03

CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education PHYSICS 0625/03 www.xtremepapers.com Centre Number Candidate Number Name CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education PHYSICS 0625/03 Paper 3 Candidates answer on the Question

Διαβάστε περισσότερα

43603H. (NOV1243603H01) WMP/Nov12/43603H. General Certificate of Secondary Education Higher Tier November 2012. Unit 3 10 11 H

43603H. (NOV1243603H01) WMP/Nov12/43603H. General Certificate of Secondary Education Higher Tier November 2012. Unit 3 10 11 H Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials General Certificate of Secondary Education Higher Tier November 2012 Pages 3 4 5 Mark Mathematics

Διαβάστε περισσότερα

Strain gauge and rosettes

Strain gauge and rosettes Strain gauge and rosettes Introduction A strain gauge is a device which is used to measure strain (deformation) on an object subjected to forces. Strain can be measured using various types of devices classified

Διαβάστε περισσότερα

titanium laser beam volume to be heated joint titanium Fig. 5.1

titanium laser beam volume to be heated joint titanium Fig. 5.1 1 Lasers are often used to form precision-welded joints in titanium. To form one such joint it is first necessary to increase the temperature of the titanium to its melting point. Fig. 5.1 shows the joint

Διαβάστε περισσότερα

physicsandmathstutor.com Paper Reference Core Mathematics C4 Advanced Level Tuesday 23 January 2007 Afternoon Time: 1 hour 30 minutes

physicsandmathstutor.com Paper Reference Core Mathematics C4 Advanced Level Tuesday 23 January 2007 Afternoon Time: 1 hour 30 minutes Centre No. Candidate No. Paper Reference(s) 6666/01 Edexcel GCE Core Mathematics C4 Advanced Level Tuesday 23 January 2007 Afternoon Time: 1 hour 30 minutes Materials required for examination Mathematical

Διαβάστε περισσότερα

Advanced Unit 2: Understanding, Written Response and Research

Advanced Unit 2: Understanding, Written Response and Research Write your name here Surname Other names Edexcel GCE Centre Number Candidate Number Greek Advanced Unit 2: Understanding, Written Response and Research Thursday 9 June 2011 Morning Time: 3 hours Paper

Διαβάστε περισσότερα

PHYA1 (JUN13PHYA101) General Certificate of Education Advanced Subsidiary Examination June 2013. Particles, Quantum Phenomena and Electricity TOTAL

PHYA1 (JUN13PHYA101) General Certificate of Education Advanced Subsidiary Examination June 2013. Particles, Quantum Phenomena and Electricity TOTAL Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Physics A Unit 1 For this paper you must have: l a pencil and a ruler l a calculator l a Data

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education UNIVERSITY OF CMRIDGE INTERNTIONL EXMINTIONS International General Certificate of Secondary Education *3788429633* GREEK 0543/03 Paper 3 Speaking and Listening Role Play ooklet One 1 March 30 pril 2012

Διαβάστε περισσότερα

Friday 20 May 2016 Afternoon

Friday 20 May 2016 Afternoon Oxford Cambridge and RSA Friday 20 May 2016 Afternoon GCSE PERSIAN A823/01 Reading *4988529402* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: None Duration:

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education *5654976718* ISLAMIYAT 0493/12 Paper 1 May/June 2015 1 hour 30 minutes Candidates answer on the Question

Διαβάστε περισσότερα

F211. BIOLOGY Cells, Exchange and Transport ADVANCED SUBSIDIARY GCE. Tuesday 11 January 2011 Morning

F211. BIOLOGY Cells, Exchange and Transport ADVANCED SUBSIDIARY GCE. Tuesday 11 January 2011 Morning ADVANCED SUBSIDIARY GCE BIOLOGY Cells, Exchange and Transport F211 *OCE/25767* Candidates answer on the question paper. OCR supplied materials: Insert (inserted) Other materials required: Electronic calculator

Διαβάστε περισσότερα

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required)

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required) Phys460.nb 81 ψ n (t) is still the (same) eigenstate of H But for tdependent H. The answer is NO. 5.5.5. Solution for the tdependent Schrodinger s equation If we assume that at time t 0, the electron starts

Διαβάστε περισσότερα

Advanced Unit 2: Understanding, Written Response and Research

Advanced Unit 2: Understanding, Written Response and Research Write your name here Surname Other names Edexcel GCE Centre Number Candidate Number Greek Advanced Unit 2: Understanding, Written Response and Research Tuesday 18 June 2013 Afternoon Time: 3 hours Paper

Διαβάστε περισσότερα

3.4 SUM AND DIFFERENCE FORMULAS. NOTE: cos(α+β) cos α + cos β cos(α-β) cos α -cos β

3.4 SUM AND DIFFERENCE FORMULAS. NOTE: cos(α+β) cos α + cos β cos(α-β) cos α -cos β 3.4 SUM AND DIFFERENCE FORMULAS Page Theorem cos(αβ cos α cos β -sin α cos(α-β cos α cos β sin α NOTE: cos(αβ cos α cos β cos(α-β cos α -cos β Proof of cos(α-β cos α cos β sin α Let s use a unit circle

Διαβάστε περισσότερα

Dr. D. Dinev, Department of Structural Mechanics, UACEG

Dr. D. Dinev, Department of Structural Mechanics, UACEG Lecture 4 Material behavior: Constitutive equations Field of the game Print version Lecture on Theory of lasticity and Plasticity of Dr. D. Dinev, Department of Structural Mechanics, UACG 4.1 Contents

Διαβάστε περισσότερα

Tuesday 13 June 2017 Afternoon

Tuesday 13 June 2017 Afternoon Oxford Cambridge and RSA Tuesday 13 June 2017 Afternoon A2 GCE CHEMISTRY A F324/01 Rings, Polymers and Analysis *6765314342* Candidates answer on the Question Paper. OCR supplied materials: Data Sheet

Διαβάστε περισσότερα

PHYA1 (JAN13PHYA101) General Certificate of Education Advanced Subsidiary Examination January Particles, Quantum Phenomena and Electricity TOTAL

PHYA1 (JAN13PHYA101) General Certificate of Education Advanced Subsidiary Examination January Particles, Quantum Phenomena and Electricity TOTAL Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Physics A Unit 1 For this paper you must have: l a pencil and a ruler l a calculator l a Data

Διαβάστε περισσότερα

G482. PHYSICS A Electrons, Waves and Photons ADVANCED SUBSIDIARY GCE. Monday 6 June 2011 Afternoon. Duration: 1 hour 45 minutes

G482. PHYSICS A Electrons, Waves and Photons ADVANCED SUBSIDIARY GCE. Monday 6 June 2011 Afternoon. Duration: 1 hour 45 minutes ADVANCED SUBSIDIARY GCE PHYSICS A Electrons, Waves and Photons G482 *OCE/23932* Candidates answer on the question paper. OCR Supplied Materials: Data, Formulae and Relationships Booklet Other Materials

Διαβάστε περισσότερα

5.4 The Poisson Distribution.

5.4 The Poisson Distribution. The worst thing you can do about a situation is nothing. Sr. O Shea Jackson 5.4 The Poisson Distribution. Description of the Poisson Distribution Discrete probability distribution. The random variable

Διαβάστε περισσότερα

PHYSICS (SPECIFICATION A) PA10

PHYSICS (SPECIFICATION A) PA10 Surname Centre Number Other Names Candidate Number Leave blank Candidate Signature General Certificate of Education June 2005 Advanced Level Examination PHYSICS (SPECIFICATION A) Unit 10 The Synoptic Unit

Διαβάστε περισσότερα

derivation of the Laplacian from rectangular to spherical coordinates

derivation of the Laplacian from rectangular to spherical coordinates derivation of the Laplacian from rectangular to spherical coordinates swapnizzle 03-03- :5:43 We begin by recognizing the familiar conversion from rectangular to spherical coordinates (note that φ is used

Διαβάστε περισσότερα

EE512: Error Control Coding

EE512: Error Control Coding EE512: Error Control Coding Solution for Assignment on Finite Fields February 16, 2007 1. (a) Addition and Multiplication tables for GF (5) and GF (7) are shown in Tables 1 and 2. + 0 1 2 3 4 0 0 1 2 3

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education ambridge International Examinations ambridge International General ertificate of Secondary Education *8412306169* GREEK 0543/03 Paper 3 Speaking and Listening Role Play ooklet One 1 March 30 pril 2014

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education GREEK 0543/03 Paper 3 Speaking Role Play Card One 1 March 30 April 2009 *8775605210* No Additional

Διαβάστε περισσότερα

Advanced Unit 2: Understanding, Written Response and Research

Advanced Unit 2: Understanding, Written Response and Research Write your name here Surname Other names Pearson Edexcel GCE Centre Number Candidate Number Greek Advanced Unit 2: Understanding, Written Response and Research Thursday 11 June 2015 Afternoon Time: 3 hours

Διαβάστε περισσότερα

Core Mathematics C12

Core Mathematics C12 Write your name here Surname Other names Pearson Edexcel International Advanced Level Centre Number Candidate Number Core Mathematics C12 Advanced Subsidiary Wednesday 25 May 2016 Morning Time: 2 hours

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education ambridge International Examinations ambridge International General ertificate of Secondary Education *4180418050* GREEK 0543/01 Paper 1 Listening May/June 2018 pprox. 45 minutes andidates answer on the

Διαβάστε περισσότερα

CHAPTER 48 APPLICATIONS OF MATRICES AND DETERMINANTS

CHAPTER 48 APPLICATIONS OF MATRICES AND DETERMINANTS CHAPTER 48 APPLICATIONS OF MATRICES AND DETERMINANTS EXERCISE 01 Page 545 1. Use matrices to solve: 3x + 4y x + 5y + 7 3x + 4y x + 5y 7 Hence, 3 4 x 0 5 y 7 The inverse of 3 4 5 is: 1 5 4 1 5 4 15 8 3

Διαβάστε περισσότερα

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education ambridge International Examinations ambridge International General ertificate of Secondary Education *2022097877* GREEK 0543/01 Paper 1 Listening May/June 2015 pprox. 45 minutes andidates answer on the

Διαβάστε περισσότερα

2 Composition. Invertible Mappings

2 Composition. Invertible Mappings Arkansas Tech University MATH 4033: Elementary Modern Algebra Dr. Marcel B. Finan Composition. Invertible Mappings In this section we discuss two procedures for creating new mappings from old ones, namely,

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 6/5/2006

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 6/5/2006 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Ολοι οι αριθμοί που αναφέρονται σε όλα τα ερωτήματα είναι μικρότεροι το 1000 εκτός αν ορίζεται διαφορετικά στη διατύπωση του προβλήματος. Διάρκεια: 3,5 ώρες Καλή

Διαβάστε περισσότερα

Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education

Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education ambridge ssessment International Education ambridge International General ertificate of Secondary Education *4366113336* GREEK 0543/01 Paper 1 Listening May/June 2019 pprox. 45 minutes andidates answer

Διαβάστε περισσότερα

PHYA1 (JAN12PHYA101) General Certificate of Education Advanced Subsidiary Examination January 2012. Particles, Quantum Phenomena and Electricity TOTAL

PHYA1 (JAN12PHYA101) General Certificate of Education Advanced Subsidiary Examination January 2012. Particles, Quantum Phenomena and Electricity TOTAL Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Physics A Unit 1 For this paper you must have: l a pencil and a ruler l a calculator l a Data

Διαβάστε περισσότερα

Section 8.3 Trigonometric Equations

Section 8.3 Trigonometric Equations 99 Section 8. Trigonometric Equations Objective 1: Solve Equations Involving One Trigonometric Function. In this section and the next, we will exple how to solving equations involving trigonometric functions.

Διαβάστε περισσότερα

Αναερόβια Φυσική Κατάσταση

Αναερόβια Φυσική Κατάσταση Αναερόβια Φυσική Κατάσταση Γιάννης Κουτεντάκης, BSc, MA. PhD Αναπληρωτής Καθηγητής ΤΕΦΑΑ, Πανεπιστήµιο Θεσσαλίας Περιεχόµενο Μαθήµατος Ορισµός της αναερόβιας φυσικής κατάστασης Σχέσης µε µηχανισµούς παραγωγής

Διαβάστε περισσότερα

PHYA2. General Certificate of Education Advanced Subsidiary Examination June 2011. Mechanics, Materials and Waves (JUN11PHYA201) TOTAL

PHYA2. General Certificate of Education Advanced Subsidiary Examination June 2011. Mechanics, Materials and Waves (JUN11PHYA201) TOTAL Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Physics A Unit 2 For this paper you must have: l a pencil and a ruler l a calculator l a Data

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *3282737091* GREEK 0543/03 Paper 3 Speaking Role Play Card One 1 March - 30 April 2008 No Additional

Διαβάστε περισσότερα

Chapter 7 Transformations of Stress and Strain

Chapter 7 Transformations of Stress and Strain Chapter 7 Transformations of Stress and Strain INTRODUCTION Transformation of Plane Stress Mohr s Circle for Plane Stress Application of Mohr s Circle to 3D Analsis 90 60 60 0 0 50 90 Introduction 7-1

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 24/3/2007

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 24/3/2007 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Όλοι οι αριθμοί που αναφέρονται σε όλα τα ερωτήματα μικρότεροι του 10000 εκτός αν ορίζεται διαφορετικά στη διατύπωση του προβλήματος. Αν κάπου κάνετε κάποιες υποθέσεις

Διαβάστε περισσότερα

UDZ Swirl diffuser. Product facts. Quick-selection. Swirl diffuser UDZ. Product code example:

UDZ Swirl diffuser. Product facts. Quick-selection. Swirl diffuser UDZ. Product code example: UDZ Swirl diffuser Swirl diffuser UDZ, which is intended for installation in a ventilation duct, can be used in premises with a large volume, for example factory premises, storage areas, superstores, halls,

Διαβάστε περισσότερα