AP Physics C - Mechanics
|
|
|
- Martin Floyd
- 5 years ago
- Views:
Transcription
1 Slide 1 / 36 Slide 2 / 36 P Physics - Mechanics Vectors Scalar Versus Vector Slide 3 / 36 scalar has only a physical quantity such as mass, speed, and time. vector has both a magnitude and a direction associated with it, such as velocity and acceleration. vector is denoted by an arrow above the variable,
2 1 Is this a vector or a scalar? Students type their answers here Time Scalar Slide 4 / 36 Speed Velocity istance isplacement Scalar Vector Scalar Vector 2 Which of the following is a true statement? Slide 5 / 36 It is possible to add a scalar quantity to a vector. The magnitude of a vector can be zero even though one of its components is not zero. The sum of the magnitude of two unequal vectors can be zero. Rotating a vector about an axis passing through the tip of the vector does not change the vector. Vectors must be added geometrically. rawing Vector Slide 6 / 36 vector is always drawn with an arrow at the tip indicating the direction, and the length of the line determines the magnitude. Remember displacement is the distance away from your initial position, it does not account for the actual distance you moved.
3 etermining Magnitude and irection Slide 7 / 36 anti-parallel ll of these vectors have the same magnitude, but vector runs anti-parallel therefore it is denoted negative. Vector ddition Slide 8 / 36 Vector ddition Methods Tail to Tip Method Slide 9 / 36
4 Vector ddition Methods Parallelogram Method Slide 10 / 36 Place the tails of each vector against one another. Finish drawing the parallelogram with dashed lines and draw a diagonal line from the tails to the other end of the parallelogram to find the vector sum. 3 If a car under goes a displacement of 3 km North and another of 4 km to the ast what is the net displacement? Slide 11 / km 4 km 5 km 4 3 km 3 km x 7 km 6 km 4 If a car under goes a displacement of 3 km North and another of 4 km to the ast what is the total distance traveled? Slide 12 / km 4 km 7 km 5 km 3 km x 4 km 3 km
5 5 Solve for θ Slide 13 / o 75 o 53 o 37 o 25 o 3 km θ 4 km x Vector omponents Slide 14 / 36 vy v θ vx vector that makes an angle with the axis has both a horizontal and vertical component of velocity. θ is measured starting at the x axis and rotating in the direction of the y-axis. Multiple Vectors Slide 15 / 36 When dealing with multiple vectors you can just add the components in order to attain the components of the vector sum. v x v x v y vy v x v y v y v x
6 6 The components of vector are given as follows: Slide 16 / 36 The magnitude of is closest to: The components of vectors are given as follows: and Slide 17 / 36 Solve for the magnitude of The components of vector are given as follows: Slide 18 / 36 The angle measured counter-clockwise from the x-axis to vector, in degrees, is closest to: 339 o 200 o 122 o 21 o 159 o
7 9 The components of vector and are given as follows: Slide 19 / 36 The magnitude of -, is closest to: The magnitude of is 5.2. Vector lies in the 4th quadrant and forms a 30 o with the x-axis. The components of x and y are: Slide 20 / The magnitude of vector is equal to vector plus vector. What is the value of vector? Slide 21 / O y 45 O x 6
8 12 Vectors and are shown. Vector is given by = +. In the figure above, the magnitude of is closest to: Slide 22 / o 30 o Slide 23 / 36 Slide 24 / 36
9 13 What is the magnitude of the sum of the following vectors? Slide 25 / Products of Vectors Scalar Product also known as ot Product yields a scalar quantity Slide 26 / 36 value can be positive, zero, or negative depending on θ. θ ranges from 0 to 180 degrees. = = = = = = 14 In the figure, find the scalar product of vectors and, Slide 27 / o 4 45 o 6
10 15 In the figure, find the scalar product of vectors and, Slide 28 / o 4 45 o 6 Products of Vectors Vector Product also known as the cross product yields another vector. Slide 29 / 36 = = = = - = = - = = - = 16 In the figure, find the vector product of vectors and. Slide 30 / o 4 45 o 6
11 17 Two vectors are give as follows: Slide 31 / 36 Solve for 18 Two vectors are give as follows: Slide 32 / 36 Solve for Which of the following is an accurate statement? Slide 33 / 36 If the vectors and are each rotated through the same angle about the same axis, the product will be unchanged. If the vectors and are each rotated through the same angle about the same axis, the product x will be unchanged If a vector is rotated about an axis parallel to vector, the product will be changed. When a scalar quantity is added to a vector, the result is a vector of larger-magnitude than the original vector.
12 20 Solve for the angle between vector and Slide 34 / o o 57 o o o 21 Two vectors are given: Slide 35 / 36 The angle between vectors and, in degrees, is: 117 o 76 o 150 o 29 o 161 o 22 Two vectors are given: Slide 36 / 36 Solve for the magnitude of
Vectors. Slide 2 / 36. Slide 1 / 36. Slide 3 / 36. Slide 4 / 36. Slide 5 / 36. Slide 6 / 36. Scalar versus Vector. Determining magnitude and direction
Slide 1 / 3 Slide 2 / 3 Scalar versus Vector Vectors scalar has only a physical quantity such as mass, speed, and time. vector has both a magnitude and a direction associated with it, such as velocity
AP Physics C Mechanics Vectors
1 AP Physics C Mechanics Vectors 2015 12 03 www.njctl.org 2 Scalar Versus Vector A scalar has only a physical quantity such as mass, speed, and time. A vector has both a magnitude and a direction associated
Pre-Calculus Vectors
Slide 1 / 159 Slide 2 / 159 Pre-Calculus Vectors 2015-03-24 www.njctl.org Slide 3 / 159 Table of Contents Intro to Vectors Converting Rectangular and Polar Forms Operations with Vectors Scalar Multiples
Review. Projectile motion is a vector. - Has magnitude and direction. When solving projectile motion problems, draw it out
Projectile Motion Review Projectile motion is a vector - Has magnitude and direction When solving projectile motion problems, draw it out Two methods to drawing out vectors: 1. Tail-to-tip method 2. Parallelogram
General Physics I, Spring Vectors
General Physics I, Spring 2011 Vectors 1 Vectors: Introduction A vector quantity in physics is one that has a magnitude (absolute value) and a direction. We have seen three already: displacement, velocity,
Vectors. Chapter 3. Arithmetic. Resultant. Drawing Vectors. Sometimes objects have two velocities! Sometimes direction matters!
Vectors Chapter 3 Vector and Vector Addition Sometimes direction matters! (vector) Force Velocity Momentum Sometimes it doesn t! (scalar) Mass Speed Time Arithmetic Arithmetic works for scalars. 2 apples
Main Ideas in Class Today
Main Ideas in Class Today After today, you should be able to: Understand vector notation Use basic trigonometry in order to find the x and y components of a vector (only right triangles) Add and subtract
Physics 1A. Lecture 1B
Physics 1A Lecture 1B Angles: a Tricky Unit θ Angles are formally defined as a ratio of lengths; e.g. θ = Arclength/Radius [θ] = L/L = 1 This makes the angle unitless! The fundamental unit of angle is
UNIT I: MECHANICS Chapter 5: Projectile Motion
IMPORTANT TERMS: Component Projectile Resolution Resultant Satellite Scalar quantity Vector Vector quantity UNIT I: MECHANICS Chapter 5: Projectile Motion I. Vector and Scalar Quantities (5-1) A. Vector
Chapter 3. Vectors and. Two-Dimensional Motion Vector vs. Scalar Review
Chapter 3 Vectors and Two-Dimensional Motion Vector vs. Scalar Review All physical quantities encountered in this text will be either a scalar or a vector A vector quantity has both magnitude (size) and
PART A: MULTIPLE CHOICE QUESTIONS
PART A: MULTIPLE CHOICE QUESTIONS QUESTION 1. Which of the following defines a scalar quantity? (a) (b) (c) (d) Magnitude only Magnitude and direction Direction None of the above QUESTION 2. Which of the
Chapter 2 Mechanical Equilibrium
Chapter 2 Mechanical Equilibrium I. Force (2.1) A. force is a push or pull 1. A force is needed to change an object s state of motion 2. State of motion may be one of two things a. At rest b. Moving uniformly
Vectors. In kinematics, the simplest concept is position, so let s begin with a position vector shown below:
Vectors Extending the concepts of kinematics into two and three dimensions, the idea of a vector becomes very useful. By definition, a vector is a quantity with both a magnitude and a spatial direction.
Vectors v Scalars. Physics 1 st Six Weeks
Vectors v Scalars Physics 1 st Six Weeks An Appetizer to Start... Vectors vs. Scalars In Physics all quantities are in two categories: scalars & vectors. Scalar quantities are described by magnitude (i.e.
Mathematical review trigonometry vectors Motion in one dimension
Mathematical review trigonometry vectors Motion in one dimension Used to describe the position of a point in space Coordinate system (frame) consists of a fixed reference point called the origin specific
Position and Displacement
Position and Displacement Ch. in your text book Objectives Students will be able to: ) Explain the difference between a scalar and a vector quantity ) Explain the difference between total distance traveled
Vectors a vector is a quantity that has both a magnitude (size) and a direction
Vectors In physics, a vector is a quantity that has both a magnitude (size) and a direction. Familiar examples of vectors include velocity, force, and electric field. For any applications beyond one dimension,
2- Scalars and Vectors
2- Scalars and Vectors Scalars : have magnitude only : Length, time, mass, speed and volume is example of scalar. v Vectors : have magnitude and direction. v The magnitude of is written v v Position, displacement,
Vectors. Vector Practice Problems: Odd-numbered problems from
Vectors Vector Practice Problems: Odd-numbered problems from 3.1-3.21 After today, you should be able to: Understand vector notation Use basic trigonometry in order to find the x and y components of a
Example problem: Free Fall
Example problem: Free Fall A ball is thrown from the top of a building with an initial velocity of 20.0 m/s straight upward, at an initial height of 50.0 m above the ground. The ball just misses the edge
Chapter 3 Kinematics in Two Dimensions; Vectors
Chapter 3 Kinematics in Two Dimensions; Vectors Vectors and Scalars Units of Chapter 3 Addition of Vectors Graphical Methods Subtraction of Vectors, and Multiplication of a Vector by a Scalar Adding Vectors
Vector Algebra August 2013
Vector Algebra 12.1 12.2 28 August 2013 What is a Vector? A vector (denoted or v) is a mathematical object possessing both: direction and magnitude also called length (denoted ). Vectors are often represented
Scalar & Vector tutorial
Scalar & Vector tutorial scalar vector only magnitude, no direction both magnitude and direction 1-dimensional measurement of quantity not 1-dimensional time, mass, volume, speed temperature and so on
Scalar Quantities - express only magnitude ie. time, distance, speed
Chapter 6 - Vectors Scalar Quantities - express only magnitude ie. time, distance, speed Vector Quantities - express magnitude and direction. ie. velocity 80 km/h, 58 displacement 10 km (E) acceleration
Student Content Brief Advanced Level
Student Content Brief Advanced Level Vectors Background Information Physics and Engineering deal with quantities that have both size and direction. These physical quantities have a special math language
Quiz No. 1: Tuesday Jan. 31. Assignment No. 2, due Thursday Feb 2: Problems 8.4, 8.13, 3.10, 3.28 Conceptual questions: 8.1, 3.6, 3.12, 3.
Quiz No. 1: Tuesday Jan. 31 Assignment No. 2, due Thursday Feb 2: Problems 8.4, 8.13, 3.10, 3.28 Conceptual questions: 8.1, 3.6, 3.12, 3.20 Chapter 3 Vectors and Two-Dimensional Kinematics Properties of
Physics Chapter 3 Notes. Section 3-1: Introduction to Vectors (pages 80-83)
Physics Chapter 3 Notes Section 3-1: Introduction to Vectors (pages 80-83) We can use vectors to indicate both the magnitude of a quantity, and the direction. Vectors are often used in 2- dimensional problems.
SECTION 6.3: VECTORS IN THE PLANE
(Section 6.3: Vectors in the Plane) 6.18 SECTION 6.3: VECTORS IN THE PLANE Assume a, b, c, and d are real numbers. PART A: INTRO A scalar has magnitude but not direction. We think of real numbers as scalars,
3.1 Using Vectors 3.3 Coordinate Systems and Vector Components.notebook September 19, 2017
Using Vectors A vector is a quantity with both a size (magnitude) and a direction. Figure 3.1 shows how to represent a particle s velocity as a vector. Section 3.1 Using Vectors The particle s speed at
Describing motion: Kinematics in two dimension
Describing motion: Kinematics in two dimension Scientist Galileo Galilei Issac Newton Vocabulary Vector scalars Resultant Displacement Components Resolving vectors Unit vector into its components Average
Chapter 3 Vectors. 3.1 Vector Analysis
Chapter 3 Vectors 3.1 Vector nalysis... 1 3.1.1 Introduction to Vectors... 1 3.1.2 Properties of Vectors... 1 3.2 Coordinate Systems... 6 3.2.1 Cartesian Coordinate System... 6 3.2.2 Cylindrical Coordinate
Motion. Slope. Slope. Distance and Displacement
Steepness or slope base (run), height (rise) slope = rise/run slope down (\) : - (rise/run) slope up (/) : + (rise/run) sudden change of slope curved hill - the slope is always changing procedure to find
Clarifications. 1/31/2007 Physics 253
1 Clarifications Extra Credit There are two assignments for each unit. The total credit is 10 points/ unit To be precise the score for each unit equals the number of questions answered correctly divided
Vector x-component (N) y-component (N)
Name AP Physics C Summer Assignment 2014 Where calculations are required, show your work. Be smart about significant figures. Print these sheets and hand them in (neatly done) on the first day of class.
UNIT 2E. Forces on Inclined Planes
Name: Regents Physics Date: Mr. Morgante UNIT 2E Forces on Inclined Planes 1. Frictionless Plane Forces on An Inclined Plane +y +y m VS. +x +x m 2. Free Body Diagram (FBD) m= mass=10kg F N +y = 30 F g
Progressive Science Initiative. Click to go to website:
Slide 1 / 246 New Jersey Center for Teaching and Learning Progressive Science Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students and
BELLWORK feet
BELLWORK 1 A hot air balloon is being held in place by two people holding ropes and standing 35 feet apart. The angle formed between the ground and the rope held by each person is 40. Determine the length
Vectors: Direction o. vector steps 2018.notebook. September 26, Quantities can either be scalar or vector. 90 o.
Vectors: Quantities can either be scalar or vector Size only mass time speed Size and direction force velocity acceleration Vector quantities can be represented by an arrow called a vector. The vector
VECTORS REVIEW. ii. How large is the angle between lines A and B? b. What is angle C? 45 o. 30 o. c. What is angle θ? d. How large is θ?
VECTOS EVIEW Solve the following geometric problems. a. Line touches the circle at a single point. Line etends through the center of the circle. i. What is line in reference to the circle? ii. How large
Review of Coordinate Systems
Vector in 2 R and 3 R Review of Coordinate Systems Used to describe the position of a point in space Common coordinate systems are: Cartesian Polar Cartesian Coordinate System Also called rectangular coordinate
UNIT V: Multi-Dimensional Kinematics and Dynamics Page 1
UNIT V: Multi-Dimensional Kinematics and Dynamics Page 1 UNIT V: Multi-Dimensional Kinematics and Dynamics As we have already discussed, the study of the rules of nature (a.k.a. Physics) involves both
UNIT-05 VECTORS. 3. Utilize the characteristics of two or more vectors that are concurrent, or collinear, or coplanar.
UNIT-05 VECTORS Introduction: physical quantity that can be specified by just a number the magnitude is known as a scalar. In everyday life you deal mostly with scalars such as time, temperature, length
In the real world, objects don t just move back and forth in 1-D! Projectile
Phys 1110, 3-1 CH. 3: Vectors In the real world, objects don t just move back and forth in 1-D In principle, the world is really 3-dimensional (3-D), but in practice, lots of realistic motion is 2-D (like
Vector Basics, with Exercises
Math 230 Spring 09 Vector Basics, with Exercises This sheet is designed to follow the GeoGebra Introduction to Vectors. It includes a summary of some of the properties of vectors, as well as homework exercises.
Adding Vectors in Two Dimensions
Slide 37 / 125 Adding Vectors in Two Dimensions Return to Table of Contents Last year, we learned how to add vectors along a single axis. The example we used was for adding two displacements. Slide 38
VECTORS. 3-1 What is Physics? 3-2 Vectors and Scalars CHAPTER
CHAPTER 3 VECTORS 3-1 What is Physics? Physics deals with a great many quantities that have both size and direction, and it needs a special mathematical language the language of vectors to describe those
North by Northwest - An Introduction to Vectors
HPP A9 North by Northwest - An Introduction to Vectors Exploration GE 1. Let's suppose you and a friend are standing in the parking lot near the Science Building. Your friend says, "I am going to run at
Chapter 2 A Mathematical Toolbox
Chapter 2 Mathematical Toolbox Vectors and Scalars 1) Scalars have only a magnitude (numerical value) Denoted by a symbol, a 2) Vectors have a magnitude and direction Denoted by a bold symbol (), or symbol
Teacher Content Brief
Teacher Content Brief Vectors Introduction Your students will need to be able to maneuver their Sea Perch during the competition, so it will be important for them to understand how forces combine to create
Parametric Equations, Vectors, and Vector Valued Functions. Different parametric equations can yield the same curve:
Parametric Equations, Vectors, and Vector Valued Functions Different parametric equations can yield the same curve: x=t, y=t 2 for t in [ 1,1] and x=t 3, y=t 6 for t in [ 1,1] give the same parabolic arc,
Introduction to Vectors
Introduction to Vectors Why Vectors? Say you wanted to tell your friend that you re running late and will be there in five minutes. That s precisely enough information for your friend to know when you
Definitions In physics we have two types of measurable quantities: vectors and scalars.
1 Definitions In physics we have two types of measurable quantities: vectors and scalars. Scalars: have magnitude (magnitude means size) only Examples of scalar quantities include time, mass, volume, area,
Demo: x-t, v-t and a-t of a falling basket ball.
Demo: x-t, v-t and a-t of a falling basket ball. I-clicker question 3-1: A particle moves with the position-versus-time graph shown. Which graph best illustrates the velocity of the particle as a function
Vectors. Vectors. Vectors. Reminder: Scalars and Vectors. Vector Practice Problems: Odd-numbered problems from
Vectors Vector Practice Problems: Odd-numbered problems from 3.1-3.21 Reminder: Scalars and Vectors Vector: Scalar: A number (magnitude) with a direction. Just a number. I have continually asked you, which
v t 2 2t 8. Fig. 7 (i) Write down the velocity of the insect when t 0. (ii) Show that the insect is instantaneously at rest when t 2and when t 4.
1 Fig. 7 is a sketch of part of the velocity-time graph for the motion of an insect walking in a straight line. Its velocity, v ms 1, at time t seconds for the time interval 3 t 5 is given by v ms -1 v
Contents. Concept Map
Contents 1. General Notes on Forces 2. Effects of Forces on Motion 3. Effects of Forces on Shape 4. The Turning Effect of Forces 5. The Centre of Gravity and Stability Concept Map April 2000 Forces - 1
Chapter 3. Vectors and Two-Dimensional Motion
Chapter 3 Vectors and Two-Dimensional Motion 1 Vector vs. Scalar Review All physical quantities encountered in this text will be either a scalar or a vector A vector quantity has both magnitude (size)
Rules for Motion Maps
Motion maps are like strobe pictures of an object s motion, each flash represents the passage of some fixed unit of time In each flash, the object is represented as a dot. It should be placed in the location
9/29/2014. Chapter 3 Kinematics in Two Dimensions; Vectors. 3-1 Vectors and Scalars. Contents of Chapter Addition of Vectors Graphical Methods
Lecture PowerPoints Chapter 3 Physics: Principles with Applications, 7 th edition Giancoli Chapter 3 Kinematics in Two Dimensions; Vectors This work is protected by United States copyright laws and is
Chapter 8 Scalars and vectors
Chapter 8 Scalars and vectors Heinemann Physics 1 4e Section 8.1 Scalars and vectors Worked example: Try yourself 8.1.1 DESCRIBING VECTORS IN ONE DIMENSION west east + 50 N Describe the vector using: a
Coordinate Systems. Chapter 3. Cartesian Coordinate System. Polar Coordinate System
Chapter 3 Vectors Coordinate Systems Used to describe the position of a point in space Coordinate system consists of a fixed reference point called the origin specific axes with scales and labels instructions
Kinematics in Two Dimensions; Vectors
Kinematics in Two Dimensions; Vectors Vectors & Scalars!! Scalars They are specified only by a number and units and have no direction associated with them, such as time, mass, and temperature.!! Vectors
Math 144 Activity #9 Introduction to Vectors
144 p 1 Math 144 ctiity #9 Introduction to Vectors Often times you hear people use the words speed and elocity. Is there a difference between the two? If so, what is the difference? Discuss this with your
Vectors and the Geometry of Space
Vectors and the Geometry of Space Many quantities in geometry and physics, such as area, volume, temperature, mass, and time, can be characterized by a single real number scaled to appropriate units of
Motion in Two Dimensions Reading Notes
Motion in Two Dimensions Reading Notes Name: Section 3-1: Vectors and Scalars What typeface do we use to indicate a vector? Test Your Understanding: Circle the quantities that are vectors. Acceleration
Otterbein University Department of Physics Physics Laboratory Partner s Name: EXPERIMENT D FORCE VECTORS
Name: Partner s Name: EXPERIMENT 1500-7 2D FORCE VECTORS INTRODUCTION A vector is represented by an arrow: it has a direction and a magnitude (or length). Vectors can be moved around the page without changing
Please Visit us at:
IMPORTANT QUESTIONS WITH ANSWERS Q # 1. Differentiate among scalars and vectors. Scalars Vectors (i) The physical quantities that are completely (i) The physical quantities that are completely described
Vectors. Examples of vectors include: displacement, velocity, acceleration, and force. Examples of scalars include: distance, speed, time, and volume.
Math 150 Prof. Beydler 7.4/7.5 Notes Page 1 of 6 Vectors Suppose a car is heading NE (northeast) at 60 mph. We can use a vector to help draw a picture (see right). v A vector consists of two parts: 1.
scalar and - vector - - presentation SCALAR AND VECTOR
http://www.slideshare.net/fikrifadzal/chapter-14scalar-and-vector- and presentation SCLR ND VECTOR Scalars Scalars are quantities which have magnitude without directioni Examples of scalars temperaturere
Welcome back to Physics 215
Welcome back to Physics 215 Lecture 2-2 02-2 1 Last time: Displacement, velocity, graphs Today: Constant acceleration, free fall 02-2 2 2-2.1: An object moves with constant acceleration, starting from
Unit-1. 10th grade. Elective Fizx. Force & Motion. Solutions 1.1 Vectors page Two vectors are given in the following figure.
page - 18 1. Two vectors are given in the following figure. Draw the following vectors by using the parallelogram method. a) -B + 2A b) 2B - A c) A -B page - 18 2. Three vectors are given in the following
AP Physics 1 Summer Assignment
P Physics 1 Summer ssignment 1. Scientific Notation: "#$%&''&()*+$,-#$&-.)*,-/$0"/1)1$0-&3'#415$$6-)7#$7"#$,*1(#-$)*$1)#*7)%)$*&7,7)&*$,*.$1)40')%/$7"#$8*)71$9:;
Newton 3 & Vectors. Action/Reaction. You Can OnlyTouch as Hard as You Are Touched 9/7/2009
Newton 3 & Vectors Action/Reaction When you lean against a wall, you exert a force on the wall. The wall simultaneously exerts an equal and opposite force on you. You Can OnlyTouch as Hard as You Are Touched
GENERAL PHYSICS (101 PHYS)
INAYA MEDICAL COLLEGE (IMC) PHYS 101- LECTURE 1 GENERAL PHYSICS (101 PHYS) DR. MOHAMMED MOSTAFA EMAM LECTURES & CLASS ACTIVITIES https://inayacollegedrmohammedemam.wordpress.com/ Password: drmohammedemam
FORCE TABLE INTRODUCTION
FORCE TABLE INTRODUCTION All measurable quantities can be classified as either a scalar 1 or a vector 2. A scalar has only magnitude while a vector has both magnitude and direction. Examples of scalar
Lesson 7. Chapter 3: Two-Dimensional Kinematics COLLEGE PHYSICS VECTORS. Video Narrated by Jason Harlow, Physics Department, University of Toronto
COLLEGE PHYSICS Chapter 3: Two-Dimensional Kinematics Lesson 7 Video Narrated by Jason Harlow, Physics Department, University of Toronto VECTORS A quantity having both a magnitude and a direction is called
Objectives and Essential Questions
VECTORS Objectives and Essential Questions Objectives Distinguish between basic trigonometric functions (SOH CAH TOA) Distinguish between vector and scalar quantities Add vectors using graphical and analytical
Kinematics. 1. Introduction to Kinematics. 2. Position and displacement
Kinematics 1. Introduction to Kinematics. Scalars & vectors 2. Position & displacement 3. Velocity 4. Acceleration 5. Uniform linear motion 6. Uniformly accelerated motion 7. Uniform circular motion 1.
Vectors. Example: Example: 2 cm. Parts of a vector: 3 cm. Body / Line Segment. Tail / Toe. Tip / Head
Vectors The study of motion involves the introduction of a variety of quantities which are used to describe the physical world. Examples of such quantities include distance, displacement, speed, velocity,
AP Physics 1 Summer Assignment
P Physics Summer ssignment. Scientific Notation: The following are ordinary physics problems. Write the answer in scientific notation and simplify the units (π=3). a. T s 4. 50 kg. 0 0 kg s 3 = b. F Nm
P Physics Summer ssignment I. The dvanced placement eams are in early May which necessitates a very fast pace. This summer homework will allow us to start on the Physics subject matter immediately when
Vector Addition and Subtraction
Matthew W. Milligan Vector Addition and Subtraction Learning to add all over again... Vectors 2-D Kinematics I. Vector Addition/Subtraction - Graphical II. Vector Components - Applications III. Vector
Vector components and motion
Vector components and motion Objectives Distinguish between vectors and scalars and give examples of each. Use vector diagrams to interpret the relationships among vector quantities such as force and acceleration.
1 Problems 1-3 A disc rotates about an axis through its center according to the relation θ (t) = t 4 /4 2t
Slide 1 / 30 1 Problems 1-3 disc rotates about an axis through its center according to the relation θ (t) = t 4 /4 2t etermine the angular velocity of the disc at t= 2 s 2 rad/s 4 rad/s 6 rad/s 8 rad/s
Slide 1 / 30. Slide 2 / 30. Slide 3 / m/s -1 m/s
1 Problems 1-3 disc rotates about an axis through its center according to the relation θ (t) = t 4 /4 2t Slide 1 / 30 etermine the angular velocity of the disc at t= 2 s 2 rad/s 4 rad/s 6 rad/s 8 rad/s
Chapter 2: Representing Motion. Click the mouse or press the spacebar to continue.
Chapter 2: Representing Motion Click the mouse or press the spacebar to continue. Chapter 2 Representing Motion In this chapter you will: Represent motion through the use of words, motion diagrams, and
DISPLACEMENT AND DISTANCE They re similar but not the same.
1.2 DISPLCEMENT VS DISTNCE (Guided Notes) Page 328-331 in Text. Section 11.1 Learning Objectives: What is distance? What is displacement? What is the difference between distance and displacement? 1.2 Distinguish
Assignment 6 solutions
Assignment 6 solutions 1) You are traveling on a hilly road. At a particular spot, when your car is perfectly horizontal, the road follows a circular arc of some unknown radius. Your speedometer reads
Vectors and 2D Kinematics. AIT AP Physics C
Vectors and 2D Kinematics Coordinate Systems Used to describe the position of a point in space Coordinate system consists of a fixed reference point called the origin specific axes with scales and labels
Which car/s is/are undergoing an acceleration?
Which car/s is/are undergoing an acceleration? Which car experiences the greatest acceleration? Match a Graph Consider the position-time graphs below. Each one of the 3 lines on the position-time graph
4.4 Energy in multiple dimensions, dot product
4 CONSERVATION LAWS 4.4 Energy in multiple dimensions, dot product Name: 4.4 Energy in multiple dimensions, dot product 4.4.1 Background By this point, you have worked a fair amount with vectors in this
Brief Review of Vector Algebra
APPENDIX Brief Review of Vector Algebra A.0 Introduction Vector algebra is used extensively in computational mechanics. The student must thus understand the concepts associated with this subject. The current
Phys 221. Chapter 3. Vectors A. Dzyubenko Brooks/Cole
Phs 221 Chapter 3 Vectors adzubenko@csub.edu http://www.csub.edu/~adzubenko 2014. Dzubenko 2014 rooks/cole 1 Coordinate Sstems Used to describe the position of a point in space Coordinate sstem consists
10.2 Introduction to Vectors
Arkansas Tech University MATH 2934: Calculus III Dr. Marcel B Finan 10.2 Introduction to Vectors In the previous calculus classes we have seen that the study of motion involved the introduction of a variety
Scalars and Vectors I
Scalars and Vectors I Learning Outcome When you complete this module you will be able to: Define and identify scalar and vector quantities and solve simple vector problems graphically. Learning Objectives
Unit 1 Parent Guide: Kinematics
Unit 1 Parent Guide: Kinematics Kinematics is the study of the motion of objects. Scientists can represent this information in the following ways: written and verbal descriptions, mathematically (with
Vector Addition INTRODUCTION THEORY
Vector Addition INTRODUCTION All measurable quantities may be classified either as vector quantities or as scalar quantities. Scalar quantities are described completely by a single number (with appropriate
Speed how fast an object is moving (also, the magnitude of the velocity) scalar
Mechanics Recall Mechanics Kinematics Dynamics Kinematics The description of motion without reference to forces. Terminology Distance total length of a journey scalar Time instant when an event occurs
New concepts: scalars, vectors, unit vectors, vector components, vector equations, scalar product. reading assignment read chap 3
New concepts: scalars, vectors, unit vectors, vector components, vector equations, scalar product reading assignment read chap 3 Most physical quantities are described by a single number or variable examples: