PHYSICAL QUANTITIES AND UNITS

Size: px
Start display at page:

Download "PHYSICAL QUANTITIES AND UNITS"

Transcription

1 1 PHYSICAL QUANTITIES AND UNITS Introduction Physics is the study of matter, its motion and the interaction between matter. Physics involves analysis of physical quantities, the interaction between them and the formulation of principles to explain natural phenomena. A physical quantity is made up of a numerical magnitude and a unit. Making measurement is important in physics. A measurement has uncertainty or errors. Many physical quantities are vectors. Knowing basic operations such as addition and products of vector are fundamental skills required in the study of physics. International Prototype Metre standard bar made of platinum-iridium. This was the standard until 1960, when the new SI system used a krypton-spectrum measurement as the base. Concept Map Physical Quantities and Units Base Quantities and SI Units SI units Base quantities and units Derived quantities and units Dimensions Dimensions of base quantities Dimensional analysis check homogeneity construct equations Scalars and Vectors Sum, scalar and vector products of vectors Resolving a vector to two components Errors Calculate uncertainty in a derived quantity Significant figures

2 2 ACE AHEAD Physics First Term LEARNING OUTCOMES (a) List base quantities as mass (kg), length (m), time (s), current (A), temperature (K), and quantity of matter (mol) (b) Deduce units for derived quantities 1.1 Base Quantities and SI Units 1 A physical quantity is a property that can be measured. 2 Examples of physical quantities are: length, mass, time, speed, energy, temperature and current. 3 A physical quantity is described by a numerical value and a unit. Example: the height of a person is 2 m. The numerical value is 2 and the unit is metre (m). 4 The unit of a physical quantity is the standard size used to compare different sizes of the physical quantity. In the above example, the height of the person is two times the standard length which is the metre (m). 5 In the International System of Units (SI), seven physical quantities are chosen as fundamental or base quantities. Definition of the base units for the base quantities are given in Table 1.1. PHYSICS FILE In 1790 the metre was fixed as the length of the pendulum with a half-period of one second. Base quantity Length Base unit metre (m) Definition of base unit Distance travelled by light in vacuum during the time interval of 1/( ) second. Mass of a platinum-iridium cylinder kept at the International Bureau of Weights and Measures in Sevres, France. The time interval for the light emitted from the cesium-133 atom to complete oscillations. One kelvin (1 K) = 1/ of the temperature of the triple point of water. The constant current which, if maintained in two straight parallel conductors of infinite length, negligible circular crosssectional area and placed one metre apart in vacuum, would produce between these conductors a force of newton per metre of length. The amount of substance of a system which contains as many elementary entities as there are atoms in kg of carbon-12. The candela (cd) is the luminous intensity, in a given direction of a source that emits monochromatic radiation of frequency Hz and that has a radiant intensity in that direction of 1/683 watt per steradian. Mass kilogram (kg) Time second (s) Temperature kelvin (K) ampere (A) Current Amount of substance mole (mol) Luminous intensity candela (cd) Table 1.1 Base quantities in SI

3 1 Physical Quantities and Units 21 2 The diameter of a metal sphere is ( ) cm, and its mass is (235 5) g. (a) Calculate the percentage uncertainty in the determination of the density of the metal. (b) Calculate the density of the metal and state its absolute uncertainty. 3 The time for 40 oscillations of a simple pendulum recorded using a stopwatch is 48.6 s. Calculate the period of the simple pendulum to the correct number of significant figures. 4 A rectangular plot of land is ( ) m long and ( ) m wide. Calculate (a) the perimeter and (b) the area of the plot. Give the uncertainty for each of the answers. COMPANION WEBSITE Online Test Summary 1 A physical quantity is a property that can be measured. 2 The unit of a physical quantity is the standard size used to compare different sizes of the physical quantity. 3 The dimension of the derived quantity is the relationship between a derived quantity and the base quantities. 4 The dimension of a physical equation is homogeneous if all the terms in the equation have the same dimension. 5 Dimensional analysis enables us to construct an equation that relates a physical quantity to the variables that are observed in experiments. 6 A scalar is a physical quantity that has only magnitude. 7 A vector has both magnitude and direction. 8 The addition of two vectors P and Q is a new vector R, (P + Q) = R which is known as the resultant vector. 9 A vector R can be resolved into two components R x and R y that are mutually perpendicular R x = R cos q and R y = R sin q tan q = R y R = R R 2 + x R2 y x where q is the angle between the component R x and the vector R. 10 The scalar product of two vectors a.b = a b cos q where q is the angle between the two vectors. 11 The vector product of two vectors a b is a vector whose magnitude is given by a b = a b sin q The direction of a b is such that the vectors a, b and a b form a right-hand system.

4 22 ACE AHEAD Physics First Term Focus on Exam 1 OBJECTIVE QUESTIONS 1 The dimension of angular velocity is A T 1 B L T 1 C L T 2 D L 2 T 1 STPM 2005/P1/Q1 2 The tensile strength of a wire is the maximum stress on the wire just before it breaks. What is the dimension of tensile strength? A M L 1 T 1 B M L 1 T 2 C M L T 1 D M L T 2 STPM 2007/P1/Q1 3 The unit for power is watt (W). In terms of the base SI units, W is given by A kg m s 2 B kg m 2 s 1 C kg m 2 s 2 D kg m 2 s 3 4 Newton s law of gravitation states that the gravitational force F between two point masses m and M separated by a distance r is given by F = G mm 2. What is the SI unit r for G? A m s 2 B N m 2 s 2 C m 2 kg 2 D kg 1 m 3 s 2 5 Which of the following equations is dimensionally homogeneous? A Force = mass displacement B Work = mass velocity C Power = force velocity D Impulse = force displacement 6 The possible factors that affect the speed v of waves in the sea are r the density of sea water, h the depth of the sea, l the wavelength and g the acceleration due to gravity. If k is a dimensionless constant, in which equation the dimension is consistent? A v = k gl B v = k ghr C v = k g l D v = k gl r 7 The momentum of a body of mass m is p. Which quantity has the same unit as p2 m? A Force B Energy C Power D Pressure 8 Which pair contains a scalar quantity and a vector quantity? A Work and weight B Power and energy C Impulse and momentum D Potential energy and distance 9 Forces of 10 N and 6 N act on a point. Which of the following cannot be a possible magnitude of the resultant force? A 3 N B 6 N C 10 N D 12 N 10 The resultant of three vectors P, Q and R is X. Which vector diagram correctly shows X = P + Q + R? A R P X Q

5 Model Exam (Paper 1) PHYSICS PAPER 1 Time: 1 hr 45 min Section A (15 marks) Answer all questions in this section. 1 Which of the following is the dimension for pressure? A M L 1 T 2 C M L 2 T 2 B M L T 2 D M L 1 T 1 2 The length of a strip of paper is 20.2 cm and its width is cm. The perimeter of the strip to the correct significant figure is A 42 cm C cm B 42.3 cm D cm 3 A car and a bus pass a point P in the same direction along a road at time t = 0. The speed-time graphs of the vehicles are as shown in the figure. Speed (m s 1 ) Bus Car Time (s) The bus overtakes the car after A 5 s C 15 s B 10 s D 20 s 4 A ball is kicked from a point P and moves off with a speed v at an angle of 45 to the ground. It passes over the horizontal bar of a goal post which is at a height h. What is the speed v of the ball? (g is the acceleration due to gravity.) A 1 gh 2 C 2gh B 1 2 gh D 2 gh 5 A particle P moving with a velocity 4.0 m s 1 collides elastically into another particle Q of the same mass moving with a velocity of 1.6 m s 1 in the same direction. What are the velocities of P and Q after collision? Velocity of P Velocity of Q A 1.6 m s m s 1 B 2.8 m s m s 1 C 3.0 m s m s 1 D 3.8 m s m s 1

Physics Notes Class 11 CHAPTER 2 UNITS AND MEASUREMENTS

Physics Notes Class 11 CHAPTER 2 UNITS AND MEASUREMENTS 1 P a g e Physics Notes Class 11 CHAPTER 2 UNITS AND MEASUREMENTS The comparison of any physical quantity with its standard unit is called measurement. Physical Quantities All the quantities in terms of

More information

Module 2.1. Introduction to S.I units

Module 2.1. Introduction to S.I units Module 2.1 Introduction to S.I units Learning Outcomes On successful completion of this module learners will be able to - Describe some of the S.I units relevant to energy use in buildings. S.I = The International

More information

Lecture Outline Chapter 1. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc.

Lecture Outline Chapter 1. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc. Lecture Outline Chapter 1 Physics, 4 th Edition James S. Walker Chapter 1 Introduction to Physics Units of Chapter 1 Physics and the Laws of Nature Units of Length, Mass, and Time Dimensional Analysis

More information

WORK PLAN. Week 15. Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 13 Week 14. Page 1 of 40

WORK PLAN. Week 15. Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 13 Week 14. Page 1 of 40 P HY 101 - Mechanics P HY 101 Mechanics P HY 101 Mechanics P HY 101 Mechanics P HY 101 Mechanics P HY 101 Mechanics P HY 101 Mechanics P HY 101 Mechanics P HY 101 Mechanics PHY 101 Mechanics P HY 101 Mechanics

More information

Unified Lecture # 3 Measurement of physical quantities, Units and Systems of Units

Unified Lecture # 3 Measurement of physical quantities, Units and Systems of Units Unified Lecture # 3 Measurement of physical quantities, Units and Systems of Units References [1] Editor: Barry N. Taylor. NIST Special Publication 330, 2001 Edition: The International System of Units

More information

Mechanics 1. Revision Notes

Mechanics 1. Revision Notes Mechanics 1 Revision Notes July 2012 MECHANICS 1... 2 1. Mathematical Models in Mechanics... 2 Assumptions and approximations often used to simplify the mathematics involved:... 2 2. Vectors in Mechanics....

More information

Calculate the centripetal acceleration of the boot just before impact

Calculate the centripetal acceleration of the boot just before impact (ii) alculate the centripetal acceleration of the boot just before impact....... (iii) iscuss briefly the radial force on the knee joint before impact and during the impact................. (4) (Total

More information

Physics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE

Physics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE 1 P a g e Motion Physics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE If an object changes its position with respect to its surroundings with time, then it is called in motion. Rest If an object

More information

Chapter 1 Introduction to Physics. Copyright 2010 Pearson Education, Inc.

Chapter 1 Introduction to Physics. Copyright 2010 Pearson Education, Inc. Chapter 1 Introduction to Physics Physics and the Laws of Nature Units of Length, Mass, and Time Dimensional Analysis Significant Figures Converting Units Order-of-Magnitude Calculations Scalars and Vectors

More information

Physics 1200 Mechanics, Kinematics, Fluids, Waves

Physics 1200 Mechanics, Kinematics, Fluids, Waves Physics 1200 Mechanics, Kinematics, Fluids, Waves Lecturer: Tom Humanic Contact info: Office: Physics Research Building, Rm. 2144 Email: humanic.1@osu.edu Phone: 614 247 8950 Office hour: Tuesday 11:00

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Wednesday, June 17, 2015 1:15 to 4:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Wednesday, June 17, 2015 1:15 to 4:15 p.m. P.S./PHYSICS The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS Wednesday, June 17, 2015 1:15 to 4:15 p.m., only The possession or use of any communications

More information

CBSE Class 11 Physics syllabus

CBSE Class 11 Physics syllabus CBSE Class 11 Physics syllabus 1 CLASS XI (THEORY) (Total Periods: 180) Unit I: Physical World and Measurement (Periods 10) Physics: Scope and excitement; nature of physical laws; Physics, technology and

More information

CHAPTER 1 INTRODUCTION

CHAPTER 1 INTRODUCTION CHAPTER 1 INTRODUCTION DEFINITION OF MECHANICS Mechanics may be defined as the physical science which describes and predicts the conditions of rest or motion of bodies under the action of force systems.

More information

Physics Exam Q1 Exam, Part A Samples

Physics Exam Q1 Exam, Part A Samples Physics Exam Q1 Exam, Part A Samples 1. An object starts from rest and accelerates uniformly down an incline. If the object reaches a speed of 40 meters per second in 5 seconds, its average speed is (A)

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Friday, June 20, 2014 1:15 to 4:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Friday, June 20, 2014 1:15 to 4:15 p.m. P.S./PHYSICS The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS Friday, June 20, 2014 1:15 to 4:15 p.m., only The possession or use of any communications device

More information

CP Physics Final Exam Review. Constants. Equations

CP Physics Final Exam Review. Constants. Equations Final Review 1 Name KEY Period Date CP Physics Final Exam Review Constants Test Date: g = 9.8 m/s 2 k = 9 x 10 9 N m 2 /C 2 c = 3.0 x 10 8 m/s G = 6.67 x10-11 N m 2 /kg 2 Equations F = kx d y = 4.9t 2

More information

A physical quantity is any quantity that can be measured with a certain mathematical precision. Example: Force

A physical quantity is any quantity that can be measured with a certain mathematical precision. Example: Force 1 Unit Systems Conversions Powers of Physical Quantities Dimensions Dimensional Analysis Scientific Notation Computer Notation Calculator Notation Significant Figures Math Using Significant Figures Order

More information

3.6 Solving Problems Involving Projectile Motion

3.6 Solving Problems Involving Projectile Motion INTRODUCTION 1-2 Physics and its relation to other fields introduction of physics, its importance and scope 1-5 Units, standards, and the SI System description of the SI System description of base and

More information

at v = u + 2as 6. Carry out calculations using the above kinematic relationships.

at v = u + 2as 6. Carry out calculations using the above kinematic relationships. MECHANICS AND PROPERTIES OF MATTER The knowledge and understanding content for this unit is given below. Vectors 1. Distinguish between distance and displacement. 2. Distinguish between speed and velocity.

More information

Advanced Placement. PHYSICS B Linear Momentum & Impulse

Advanced Placement. PHYSICS B Linear Momentum & Impulse Advanced Placement PHYSICS B Linear Momentum & Impulse Student 2013-2014 Linear Momentum & Impulse What I Absolutely Have to Know to Survive the AP* Exam Momentum (p) is a vector. It has the same direction

More information

SAMPLE PAPER 1 XI PHYSICS

SAMPLE PAPER 1 XI PHYSICS SAMPLE PAPER 1 o A n XI PHYSICS Time: Three Hours Maximum Marks: 70 General Instructions (a) All questions are compulsory. (b) There are 30 questions in total. Questions 1 to 8 carry one mark each, questions

More information

Momentum, Impulse, and Collisions

Momentum, Impulse, and Collisions Nicholas J. Giordano www.cengage.com/physics/giordano Momentum, Impulse, and Collisions Introduction Objects have been treated as point particles Mass is located at a single point in space This assumption

More information

1. SI units of measurement

1. SI units of measurement 1. SI units of measurement The basic units The Laws of Physics are expressions of fundamental relationships between certain physical quantities. There are many different quantities in physics. In order

More information

Changkat Changi Secondary School

Changkat Changi Secondary School Changkat Changi Secondary School UNIT 1 Measurement Name: Class: Date: 1 CONTENT PAGE Date Notes/Worksheets Marks Remarks Notes 1.1 Notes 1.2 Notes 1.3 Worksheet 1.1 Worksheet 1.2 Worksheet 1.3 "The whole

More information

Chapter 7. Impulse and Momentum

Chapter 7. Impulse and Momentum Chapter 7 Impulse and Momentum Chaper 6 Review: Work and Energy Forces and Displacements Effect of forces acting over a displacement Work W = (F cos)s Work changes the Kinetic Energy of a mass Kinetic

More information

IGCSE REVISION QUESTIONS

IGCSE REVISION QUESTIONS IGCSE REVISION QUESTIONS These questions are based on the EdExcel IGCSE Physics (4420) specification. The specification is broken up into seven sections: 1.) Forces and motion 2.) Electricity 3.) Waves

More information

Physical Quantities and Units

Physical Quantities and Units Physical Quantities and Units 1 Revision Objectives This chapter will explain the SI system of units used for measuring physical quantities and will distinguish between vector and scalar quantities. You

More information

Weight The weight of an object is defined as the gravitational force acting on the object. Unit: Newton (N)

Weight The weight of an object is defined as the gravitational force acting on the object. Unit: Newton (N) Gravitational Field A gravitational field as a region in which an object experiences a force due to gravitational attraction Gravitational Field Strength The gravitational field strength at a point in

More information

Chapter 2 Dimensions, Quantities and Units

Chapter 2 Dimensions, Quantities and Units Chapter 2 Dimensions, Quantities and Units Nomenclature a A d F g h m P t u u x W x Acceleration Area Diameter Fce Acceleration due to gravity Height Mass Pressure Time Speed velocity Velocity in the x-direction

More information

MOMENTUM! Momentum Impulse Conservation of Momentum in 1 Dimension Conservation of Momentum in 2 Dimensions Angular Momentum Torque Moment of Inertia

MOMENTUM! Momentum Impulse Conservation of Momentum in 1 Dimension Conservation of Momentum in 2 Dimensions Angular Momentum Torque Moment of Inertia MOMENTUM! Momentum Impulse Conservation of Momentum in 1 Dimension Conservation of Momentum in 2 Dimensions Angular Momentum Torque Moment of Inertia Momentum Defined p = m v p = momentum vector m = mass

More information

Center of Mass/Momentum

Center of Mass/Momentum Center of Mass/Momentum 1. 2. An L-shaped piece, represented by the shaded area on the figure, is cut from a metal plate of uniform thickness. The point that corresponds to the center of mass of the L-shaped

More information

Module Force can be characterized by [ ]

Module Force can be characterized by [ ] MALLA REDDY ENGINEERING COLLEGE (AUTONOMOUS) I B.Tech II SEMESTER (MR15) I MID QUESTION BANK Subject: Engineering Mechanics (Common for CE, ME and Min.E) Module - 1 1.Force can be characterized by [ ]

More information

COURSE SYLLABUS. Syllabus for: PHYS 2110 CALCULUS BASED PHYSICS I Discipline Number Course Name

COURSE SYLLABUS. Syllabus for: PHYS 2110 CALCULUS BASED PHYSICS I Discipline Number Course Name Revised by Patrick Murphy Date Approved: Date Revised: Fall 2012 COURSE SYLLABUS Syllabus for: PHYS 2110 CALCULUS BASED PHYSICS I Discipline Number Course Name Former Course and Title: PHYS 2110 General

More information

THIS IS A NEW SPECIFICATION

THIS IS A NEW SPECIFICATION THIS IS A NEW SPECIFICATION ADVANCED SUBSIDIARY GCE PHYSICS A Mechanics G481 *CUP/T63897* Candidates answer on the question paper OCR Supplied Materials: Data, Formulae and Relationships Booklet Other

More information

PHYSICS HIGHER LEVEL

PHYSICS HIGHER LEVEL WARNING: You must return this section with your answer book otherwise marks will be lost. M36 Write Your Examination Number Here AN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 2000

More information

AN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 2000

AN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 2000 M31 AN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 2000 APPLIED MATHEMATICS - ORDINARY LEVEL FRIDAY, 23 JUNE - AFTERNOON, 2.00 to 4.30 Six questions to be answered. All questions

More information

Fall AP Physics Final Exam Review. 8. What is the physical interpretation of the slope of the tangent line on a position-time graph?

Fall AP Physics Final Exam Review. 8. What is the physical interpretation of the slope of the tangent line on a position-time graph? Fall 2013 AP Physics Final Exam Review 1. Definition of a particle 2. Definition of a reference frame 3. Definition of displacement 4. Definition of velocity 5. Definition of average velocity 6. Definition

More information

(b) Explain how the principle of conservation of momentum is a natural consequence of Newton s laws of motion. [3]

(b) Explain how the principle of conservation of momentum is a natural consequence of Newton s laws of motion. [3] Physics A Unit: G484: The Newtonian World 1(a) State Newton s second law of motion. The resultant force on an object is proportional to the rate of change of momentum of the object In part (a) the candidate

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Wednesday, June 15, :15 to 4:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Wednesday, June 15, :15 to 4:15 p.m. PS/PHYSICS The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS Wednesday, June 15, 2011 1:15 to 4:15 p.m., only The answers to all questions in this examination

More information

Sample Questions for the AP Physics 1 Exam

Sample Questions for the AP Physics 1 Exam Sample Questions for the AP Physics 1 Exam Sample Questions for the AP Physics 1 Exam Multiple-choice Questions Note: To simplify calculations, you may use g 5 10 m/s 2 in all problems. Directions: Each

More information

M11/4/PHYSI/HP2/ENG/TZ1/XX PHYSICS HIGHER LEVEL PAPER 2. Candidate session number 0 0. Wednesday 11 May 2011 (afternoon)

M11/4/PHYSI/HP2/ENG/TZ1/XX PHYSICS HIGHER LEVEL PAPER 2. Candidate session number 0 0. Wednesday 11 May 2011 (afternoon) M11/4/PHYSI/HP2/ENG/TZ1/XX 22116508 PHYSICS HIGHER LEVEL PAPER 2 Wednesday 11 May 2011 (afternoon) 2 hour 15 minutes Candidate session number 0 0 Examination code 2 2 1 1 6 5 0 8 INSTRUCTIONS TO CANDIDATES

More information

Force, work, energy and power

Force, work, energy and power 1UNIT orce, work, energy and power Key words work joule conservation of energy Quick check 1 We use forces to do things to start things moving, to make them accelerate or decelerate, to change their shape.

More information

Sunday-Saturday 8 th to 14 th March 2015 Lesson: Work, Energy, Power. Temperature. Pressure

Sunday-Saturday 8 th to 14 th March 2015 Lesson: Work, Energy, Power. Temperature. Pressure Cardiff International School Dhaka (CISD) Lost Class Make Up Assignment Class: AS6 Subject: Physics Date: 8 th (Sunday)-14 th (Saturday) March 2015 Total Mark- 20 Instructions: All of your assignment must

More information

Physics 1653 Exam 3 - Review Questions

Physics 1653 Exam 3 - Review Questions Physics 1653 Exam 3 - Review Questions 3.0 Two uncharged conducting spheres, A and B, are suspended from insulating threads so that they touch each other. While a negatively charged rod is held near, but

More information

M11/4/PHYSI/HPM/ENG/TZ1/XX PHYSICS HIGHER LEVEL PAPER 1. Wednesday 11 May 2011 (afternoon) 1 hour INSTRUCTIONS TO CANDIDATES

M11/4/PHYSI/HPM/ENG/TZ1/XX PHYSICS HIGHER LEVEL PAPER 1. Wednesday 11 May 2011 (afternoon) 1 hour INSTRUCTIONS TO CANDIDATES M11/4/PHYSI/HPM/ENG/TZ1/XX 116507 PHYSICS HIGHER LEVEL PAPER 1 Wednesday 11 May 011 (afternoon) 1 hour INSTRUCTIONS TO CANDIDATES Do not open this examination paper until instructed to do so. Answer all

More information

AN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 2001 APPLIED MATHEMATICS HIGHER LEVEL

AN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 2001 APPLIED MATHEMATICS HIGHER LEVEL M3 AN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 00 APPLIED MATHEMATICS HIGHER LEVEL FRIDAY, JUNE AFTERNOON,.00 to 4.30 Six questions to be answered. All questions carry equal marks.

More information

General Physics I Can Statements

General Physics I Can Statements General Physics I Can Statements Motion (Kinematics) 1. I can describe motion in terms of position (x), displacement (Δx), distance (d), speed (s), velocity (v), acceleration (a), and time (t). A. I can

More information

OUTCOME 3 TUTORIAL 5 DIMENSIONAL ANALYSIS

OUTCOME 3 TUTORIAL 5 DIMENSIONAL ANALYSIS Unit 41: Fluid Mechanics Unit code: T/601/1445 QCF Level: 4 Credit value: 15 OUTCOME 3 TUTORIAL 5 DIMENSIONAL ANALYSIS 3 Be able to determine the behavioural characteristics and parameters of real fluid

More information

School of Biotechnology

School of Biotechnology Physics reference slides Donatello Dolce Università di Camerino a.y. 2014/2015 mail: donatello.dolce@unicam.it School of Biotechnology Program and Aim Introduction to Physics Kinematics and Dynamics; Position

More information

Version PREVIEW Practice 8 carroll (11108) 1

Version PREVIEW Practice 8 carroll (11108) 1 Version PREVIEW Practice 8 carroll 11108 1 This print-out should have 12 questions. Multiple-choice questions may continue on the net column or page find all choices before answering. Inertia of Solids

More information

AP Physics Electricity and Magnetism #6 Magnetism #2

AP Physics Electricity and Magnetism #6 Magnetism #2 Name Period AP Physics Electricity and Magnetism #6 Magnetism #2 Dr. Campbell 1. A 1.5 m length of wire carrying 4.5 A of current is oriented horizontally. At that point on the Earth s surface, the dip

More information

Principles and Laws of Motion

Principles and Laws of Motion 2009 19 minutes Teacher Notes: Ian Walter DipAppChem; TTTC; GDipEdAdmin; MEdAdmin (part) Program Synopsis This program begins by looking at the different types of motion all around us. Forces that cause

More information

Unit G484: The Newtonian World

Unit G484: The Newtonian World Define linear momentum (and appreciate the vector nature of momentum) net force on a body impulse of a force a perfectly elastic collision an inelastic collision the radian gravitational field strength

More information

A2 Physics Notes OCR Unit 4: The Newtonian World

A2 Physics Notes OCR Unit 4: The Newtonian World A2 Physics Notes OCR Unit 4: The Newtonian World Momentum: - An object s linear momentum is defined as the product of its mass and its velocity. Linear momentum is a vector quantity, measured in kgms -1

More information

AS COMPETITION PAPER 2008

AS COMPETITION PAPER 2008 AS COMPETITION PAPER 28 Name School Town & County Total Mark/5 Time Allowed: One hour Attempt as many questions as you can. Write your answers on this question paper. Marks allocated for each question

More information

Mid-Year Review (2) (3) (4) (1) 1 m/s (3) 0.5 m/s (2) 2 m/s (4) 0 m/s

Mid-Year Review (2) (3) (4) (1) 1 m/s (3) 0.5 m/s (2) 2 m/s (4) 0 m/s 1. A blinking light of constant period is situated on a lab cart. Which diagram best represents a photograph of the light as the cart moves with constant velocity? (1) 6. The graph below represents the

More information

MOTION IN A STRAIGHT LINE

MOTION IN A STRAIGHT LINE MOTION IN A STRAIGHT LINE Important Points:. An object is said to be at rest, if the position of the object does not change with time with respect to its surroundings.. An object is said to be in motion,

More information

AS Physics INDUCTION WORK XKCD. Student. Class 12 A / B / C / D Form

AS Physics INDUCTION WORK XKCD. Student. Class 12 A / B / C / D Form AS Physics 2014-15 INDUCTION WORK XKCD Student Class 12 A / B / C / D Form MCC 2014 1. Physical Quantities Maths and Physics have an important but overlooked distinction by students. Numbers in Physics

More information

CHAPTER 4 MOTION IN APLANE

CHAPTER 4 MOTION IN APLANE I. ONE MARK QUESTIONS CHAPTER 4 MOTION IN APLANE 1. What is scalar quantity? 2. Give an example for scalar quantity. 3. Does the scalar addition obey ordinary addition rules? 4. What is vector quantity?

More information

Glossary of Physics Formulas

Glossary of Physics Formulas Glossary of Physics Formulas 1. Kinematic relations in 1-D at constant velocity Mechanics, velocity, position x - x o = v (t -t o ) or x - x o = v t x o is the position at time = t o (this is the beginning

More information

JAMNABAI NARSEE SCHOOL ESTIMATION AND UNITS. Std 8

JAMNABAI NARSEE SCHOOL ESTIMATION AND UNITS. Std 8 JAMNABAI NARSEE SCHOOL ESTIMATION AND UNITS Std 8 Order of magnitude Definition: The order of magnitude of a physical quantity is its magnitude in powers of ten when that physical quantity is expressed

More information

Physics Laboratory I 1st and 2nd Week. Ins. Fatma Nur AKI

Physics Laboratory I 1st and 2nd Week. Ins. Fatma Nur AKI Physics Laboratory I 1st and 2nd Week Ins. Fatma Nur AKI fnaki@ticaret.edu.tr 2016-2017 Contact Information (see also in lab manual/on website) Ins. Fatma Nur AKI fnaki@ticaret.edu.tr 444 0 413 (#3218)

More information

Momentum, Impulse, and Collisions

Momentum, Impulse, and Collisions Chapter 8 Momentum, Impulse, and Collisions PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman Lectures by James Pazun Copyright 2008 Pearson Education Inc.,

More information

KINETICS OF A PARTICLE: IMPULSE AND MOMENTUM

KINETICS OF A PARTICLE: IMPULSE AND MOMENTUM KINETICS OF A PARTICLE: IMPULSE AND MOMENTUM Introduction: In the previous chapter we integrated the equations of motion with respect to displacement. We found that the velocity changes could be expressed

More information

AP Physics 1: Algebra-Based 2015 Free-Response Questions

AP Physics 1: Algebra-Based 2015 Free-Response Questions AP Physics 1: Algebra-Based 015 Free-Response Questions 015 The College Board. College Board, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks of the College Board.

More information

People s Physics book 3e Ch 25-1

People s Physics book 3e Ch 25-1 The Big Idea: In most realistic situations forces and accelerations are not fixed quantities but vary with time or displacement. In these situations algebraic formulas cannot do better than approximate

More information

Chapter 1 Chemical Foundations 1.3 Units of Measurement

Chapter 1 Chemical Foundations 1.3 Units of Measurement Chapter 1 Chemical Foundations 1.3 Units of Measurement Copyright 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 1 Measurement You make a measurement every time you measure your height.

More information

Sample Final Examination

Sample Final Examination Dawson College Physics 203-NYA-05 Mechanics Sample Final Examination This exam is divided into two parts: Part I: Problems (10 marks each) Solve all seven problems. Show all of your work, clearly and in

More information

Motion and Its Description

Motion and Its Description Motion and Its Description In this world, we see many objects moving around us, for example, cars, buses, trucks, and bicycles moving on the road, aeroplanes flying in air and ships sailing on the sea,

More information

Chapter 8- Rotational Motion

Chapter 8- Rotational Motion Chapter 8- Rotational Motion Reminder Old assignments and midterm exams: solutions have been posted on the web All marks, including assignments, have been posted on the web. http://ilc2.phys.uregina.ca/~barbi/academic/phys109/2009/grades-web.pdf

More information

Leaving Cert Physics Experiments

Leaving Cert Physics Experiments Leaving Cert Physics Experiments Acceleration Due to Gravity Pendulum Method 2 Acceleration Due to gravity free fall method 5 Focal Length of Converging Lens 7 Focal Length of Concave mirror 10 The Variation

More information

Unit 1: Vectors. a m/s b. 8.5 m/s c. 7.2 m/s d. 4.7 m/s

Unit 1: Vectors. a m/s b. 8.5 m/s c. 7.2 m/s d. 4.7 m/s Multiple Choice Portion 1. A boat which can travel at a speed of 7.9 m/s in still water heads directly across a stream in the direction shown in the diagram above. The water is flowing at 3.2 m/s. What

More information

explain your reasoning

explain your reasoning I. A mechanical device shakes a ball-spring system vertically at its natural frequency. The ball is attached to a string, sending a harmonic wave in the positive x-direction. +x a) The ball, of mass M,

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Tuesday, June 21, :15 to 4:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Tuesday, June 21, :15 to 4:15 p.m. P.S./PHYSICS The University of the State of ew York REGETS HIGH SCHOOL EXAMIATIO PHYSICAL SETTIG PHYSICS Tuesday, June 21, 2016 1:15 to 4:15 p.m., only The possession or use of any communications device

More information

The rate of change of velocity with respect to time. The average rate of change of distance/displacement with respect to time.

The rate of change of velocity with respect to time. The average rate of change of distance/displacement with respect to time. H2 PHYSICS DEFINITIONS LIST Scalar Vector Term Displacement, s Speed Velocity, v Acceleration, a Average speed/velocity Instantaneous Velocity Newton s First Law Newton s Second Law Newton s Third Law

More information

Physics Notes Class 11 CHAPTER 4 MOTION IN A PLANE part 1

Physics Notes Class 11 CHAPTER 4 MOTION IN A PLANE part 1 1 P a g e Physics Notes Class 11 CHAPTER 4 MOTION IN A PLANE part 1 Those physical quantities which require magnitude as well as direction for their complete representation and follows vector laws are

More information

CHAPTER 4 IMPULSE AND MOMENTUM

CHAPTER 4 IMPULSE AND MOMENTUM 4.1 The Impulse Momentum Theorem CHPTER 4 IMPULSE ND MOMENTUM To describe the concept of impulse, let s refer to the situation below: What happen when a baseball bat strikes a ball? The magnitude of force

More information

2Elastic collisions in

2Elastic collisions in After completing this chapter you should be able to: solve problems about the impact of a smooth sphere with a fixed surface solve problems about the impact of smooth elastic spheres. In this chapter you

More information

AP2 Fluids. Kinetic Energy (A) stays the same stays the same (B) increases increases (C) stays the same increases (D) increases stays the same

AP2 Fluids. Kinetic Energy (A) stays the same stays the same (B) increases increases (C) stays the same increases (D) increases stays the same A cart full of water travels horizontally on a frictionless track with initial velocity v. As shown in the diagram, in the back wall of the cart there is a small opening near the bottom of the wall that

More information

Astrophysics Practice Questions

Astrophysics Practice Questions Astrophysics Practice Questions 1. Natalie measures the mass and speed of a glider. The percentage uncertainty in her measurement of the mass is 3% and in the measurement of the speed is 10%. Her calculated

More information

QUESTIONS : CHAPTER-5: LAWS OF MOTION

QUESTIONS : CHAPTER-5: LAWS OF MOTION QUESTIONS : CHAPTER-5: LAWS OF MOTION 1. What is Aristotle s fallacy? 2. State Aristotlean law of motion 3. Why uniformly moving body comes to rest? 4. What is uniform motion? 5. Who discovered Aristotlean

More information

Teacher Support Materials Maths GCE MECHANICS MM03

Teacher Support Materials Maths GCE MECHANICS MM03 Teacher Support Materials 2008 Maths GCE MECHANICS MM03 Copyright 2008 AQA and its licensors. All rights reserved. Permission to reproduce all copyrighted material has been applied for. In some cases,

More information

Reavis High School Physics Honors Curriculum Snapshot

Reavis High School Physics Honors Curriculum Snapshot Reavis High School Physics Honors Curriculum Snapshot Unit 1: Mathematical Toolkit Students will be able to: state definition for physics; measure length using a meter stick; measure the time with a stopwatch

More information

12. A 20-kg crate is suspended from a fixed beam by two vertical ropes. What is the tension in each rope? A) 10 N B) 40 N C) 100 N D) 200 N E) 390 N

12. A 20-kg crate is suspended from a fixed beam by two vertical ropes. What is the tension in each rope? A) 10 N B) 40 N C) 100 N D) 200 N E) 390 N Name: Date: 1. The surface of a lake has an area of 15.5 km 2. What is the area of the lake in m 2? A) 1.55 10 4 m 2 B) 1.55 10 5 m 2 C) 1.55 10 6 m 2 D) 1.55 10 7 m 2 E) 1.55 10 8 m 2 2. A certain physical

More information

Physics Challenge

Physics Challenge Physics Challenge 2013 Page 1 of 13 Name: School: Total Mark Physics Challenge 2012-13 Time allowed: 1 hour Attempt all questions Write your answers on this question paper You may use a calculator Assume

More information

Work, Energy and Power Practice Test 1

Work, Energy and Power Practice Test 1 Name: ate: 1. How much work is required to lift a 2-kilogram mass to a height of 10 meters?. 5 joules. 20 joules. 100 joules. 200 joules 5. ar and car of equal mass travel up a hill. ar moves up the hill

More information

Chapter One: Measurements and Units

Chapter One: Measurements and Units 1.1 Measuring Things. Chapter One: Measurements and Units Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns and principles that relate these phenomena.

More information

Figure 1.1 Vector A and Vector F

Figure 1.1 Vector A and Vector F CHAPTER I VECTOR QUANTITIES Quantities are anything which can be measured, and stated with number. Quantities in physics are divided into two types; scalar and vector quantities. Scalar quantities have

More information

Higher Physics Our Dynamic Universe Notes

Higher Physics Our Dynamic Universe Notes Higher Physics Our Dynamic Universe Notes Teachers Booklet Previous knowledge This section builds on the knowledge from the following key areas from Dynamics and Space Booklet 1 - Dynamics Velocity and

More information

2007 F=ma Contest. 1. An object moves in two dimensions according to. where r is in meters and t in seconds. When does the object cross the x-axis?

2007 F=ma Contest. 1. An object moves in two dimensions according to. where r is in meters and t in seconds. When does the object cross the x-axis? 007 F=ma Contest 1. An object moves in two dimensions according to rt ( ) = (4.0t 9.0) iˆ+ (.0t 5.0) ˆj, where r is in meters and t in seconds. When does the object cross the x-axis? (a) 0.0 s (b) 0.4

More information

Homework #8 203-1-1721 Physics 2 for Students of Mechanical Engineering. Part A

Homework #8 203-1-1721 Physics 2 for Students of Mechanical Engineering. Part A Homework #8 203-1-1721 Physics 2 for Students of Mechanical Engineering Part A 1. Four particles follow the paths shown in Fig. 32-33 below as they pass through the magnetic field there. What can one conclude

More information

SI UNITS AND STATICS

SI UNITS AND STATICS SEMESTER I UNIT I SI UNITS AND STATICS 1.1 UNITS AND MEASUREMENT Introduction: The word physics comes from the Greek word meaning nature. Today physics is treated as the most fundamental branch of science

More information

2. The graph shows how the displacement varies with time for an object undergoing simple harmonic motion.

2. The graph shows how the displacement varies with time for an object undergoing simple harmonic motion. Practice Test: 29 marks (37 minutes) Additional Problem: 31 marks (45 minutes) 1. A transverse wave travels from left to right. The diagram on the right shows how, at a particular instant of time, the

More information

Side-by-Side Comparison of the Texas Educational Knowledge and Skills (TEKS) and Louisiana Grade Level Expectations (GLEs) SCIENCE: Physics

Side-by-Side Comparison of the Texas Educational Knowledge and Skills (TEKS) and Louisiana Grade Level Expectations (GLEs) SCIENCE: Physics Side-by-Side Comparison of the Texas Educational Knowledge and Skills (TEKS) and Louisiana Grade Level Expectations () SCIENCE: Physics TEKS Comments Louisiana GLE (Phy.1) Scientific Processes. The student,

More information

Unit 4: Science and Materials in Construction and the Built Environment. Chapter 14. Understand how Forces act on Structures

Unit 4: Science and Materials in Construction and the Built Environment. Chapter 14. Understand how Forces act on Structures Chapter 14 Understand how Forces act on Structures 14.1 Introduction The analysis of structures considered here will be based on a number of fundamental concepts which follow from simple Newtonian mechanics;

More information

STATE UNIVERSITY OF NEW YORK COLLEGE OF TECHNOLOGY CANTON, NEW YORK COURSE OUTLINE

STATE UNIVERSITY OF NEW YORK COLLEGE OF TECHNOLOGY CANTON, NEW YORK COURSE OUTLINE STATE UNIVERSITY OF NEW YORK COLLEGE OF TECHNOLOGY CANTON, NEW YORK COURSE OUTLINE PHYS 121 - COLLEGE PHYSICS I Prepared By: Dr. Lawretta Ononye CANINO SCHOOL OF ENGINEERING TECHNOLOGY PHYSICS MAY2015

More information

Answer the following questions by marking the BEST answer choice on the answer sheet

Answer the following questions by marking the BEST answer choice on the answer sheet Answer the following questions by marking the BEST answer choice on the answer sheet 1. What is the average speed of a car that travels a total distance of 320 meters in 2.6 minutes? a. 2.1 m/s b. 120

More information

TRIPURA BOARD OF SECONDARY EDUCATION. SYLLABUS (effective from 2014) SUBJECT : PHYSICS (Class XI)

TRIPURA BOARD OF SECONDARY EDUCATION. SYLLABUS (effective from 2014) SUBJECT : PHYSICS (Class XI) TRIPURA BOARD OF SECONDARY EDUCATION SYLLABUS (effective from 2014) SUBJECT : PHYSICS (Class XI) Total Page - 9 PHYSICS COURSE STRUCTURE Class XI (Theory) One Paper Time: 3 Hours Marks:70 Unit Title Marks

More information

Name ID # Section # TA Name

Name ID # Section # TA Name Physics 104 Exam 2 March 27, 2003 Name ID # Section # TA Name Fill in your name, student ID # (not your social security #), and section # (under ABC of special codes) on the Scantron sheet. Fill in the

More information

UNITS AND MEASUREMENT

UNITS AND MEASUREMENT UNITS AND MEASUREMENT CONCEPTS INVOLVED Main points The International system of units Measurement of length Measurement of mass Measurement of Time Accuracy, Precision of instruments and errors in measurement

More information