Chapter 2: 1D Kinematics Tuesday January 13th
|
|
- Adrian McCarthy
- 6 years ago
- Views:
Transcription
1 Chapter : D Kinematics Tuesday January 3th Motion in a straight line (D Kinematics) Aerage elocity and aerage speed Instantaneous elocity and speed Acceleration Short summary Constant acceleration a special case Free-fall acceleration Reading: up to page 5 in the text book (Ch. )
2 Ch.: Motion in one-dimension We will define the position of an object using the ariable x, which measures the position of the object relatie to some reference point (origin) along a straight line (x-axis). Positie direction Negatie direction x (m)
3 x (m) Ch.: Motion in one-dimension Positie direction Negatie direction We will define the position of an object using the ariable x, which measures the position of the object relatie to some reference point (origin) along a straight line (x-axis).
4 x (m) Ch.: Motion in one-dimension Positie direction Negatie direction We will define the position of an object using the ariable x, which measures the position of the object relatie to some reference point (origin) along a straight line (x-axis). In general, x will depend on time t. We shall measure x in meters, and t in seconds, i.e. SI units. Although we will only consider only onedimensional motion here, we should not forget that x is a component of a ector. Thus, motion in the +x and -x directions correspond to motions in opposite directions.
5 Graphing x ersus t 8 6 x(t) x (m) t (s)
6 Displacement 8 Displacement Δx: 6 Δx = x - x final - initial position x x (m) t (s) x Like x, the sign of Δx is crucial Its magnitude represents a distance The sign of Δx specifies direction
7 x (m) ag Aerage elocity Δx = = = slopeof line Δt m = =.8m.s 5s 3 5 t (s) Δx = m - (- m) = m Δt = 5 s - = 5 s
8 Aerage elocity and speed ag Δx x x = = = Δt t t Like displacement, the sign of ag indicates direction Aerage speed s ag : sag = s = total distance Δt s a ag does not specify a direction; it is a scalar as opposed to a ector &, thus, lacks an algebraic sign How do ag and s ag differ?
9 x (m) x x ( m) ( m) t t 6s = = = 8 = ms = 6ms total distance s = Δt 8m+ 8m = = 6ms 6s ms t (s) 8 = ms = 6ms 3
10 Instantaneous elocity and speed x (m) Δx dx = lim = = Δ t Δt dt Instantaneous speed = magnitude of 3 local slope 5 3 > > 3 t (s)
11 Acceleration An object is accelerating if its elocity is changing Aerage acceleration a ag : a ag Δ = a = = Δt t t Instantaneous acceleration a: a Δ = lim = = = Δ t Δt dt dt dt dt d d dx d x This is the second deriatie of the x s. t graph Like x and, acceleration is a ector Note: direction of a need not be the same as
12 8 6 Decelerating a a x (m) t (s) - -6 x(t) -8 - Accelerating
13 8 6 Decelerating a a x (m) - (t) 3 5 t (s) - -6 x(t) -8-3 > > Accelerating
14 8 6 Decelerating a a (m/s) (t) a(t) 3 5 t (s) - Accelerating
15 Aerage elocity: Summarizing Displacement: Δx = x - x ag Δx x x = = = Δt t t total distance Aerage speed: sag = s = Δt Instantaneous elocity: dx = = local slope of x ersus t graph dt Instantaneous speed: magnitude of
16 Summarizing Aerage acceleration: a ag Δ = a = = Δt t t Instantaneous acceleration: d a= = local slope of ersus t graph dt In addition: d dx d x a= = =curature of x ersus t graph dt dt dt SI units for a are m/s or m.s - (ft/min also works)
17 Constant acceleration: a special case a(t) a d Δ = = = dt Δt t a = at or = + at t
18 Constant acceleration: a special case (t) t () = + at t
19 Constant acceleration: a special case (t) t () = + at at t
20 Constant acceleration: a special case (t) t () = + at at Area t = at t
21 Constant acceleration: a special case (t) t () = + at at Area t = at Area = t t
22 Constant acceleration: a special case (t) t () = + at Area = t + at Is there any significance to this? t
23 Constant acceleration: a special case a(t) a Hang on There seems to be a pattern here t = Area = at t
24 Constant acceleration: a special case It is rigorously true (a mathematical fact): = Area under a(t) cure = at x x = Area under (t) cure = t + / at What we hae discoered here is integration or calculus at () = d dt Δ = d= adt = t Area under cure = at
25 Constant acceleration: a special case It is rigorously true (a mathematical fact): = Area under a(t) cure = at x x = Area under (t) cure = t + / at What we hae discoered here is integration or calculus t () = dx dt x t t Δ x= dx= () t dt = ( + at) dt=area x x x = t + at
26 Constant acceleration: a special case x(t) x x = t + at x t
27 Equations of motion for constant acceleration One can easily eliminate either a, t or o by soling Eqs. -7 and - simultaneously. Equation number Equation = + at x x = t + at = + a( x x ) x x = ( + ) t x x = t at Important: equations apply ONLY if acceleration is constant. Missing quantity x x t a
28 A Real Example: Free fall acceleration If one eliminates the effects of air resistance, one finds that ALL objects accelerate downwards at the same constant rate at the Earth s surface, regardless of their mass (Galileo). That rate is called the free-fall acceleration g. The alue of g aries slightly with latitude, but for this course g is taken to be 9.8 ms - at the earth's surface. It is common to consider y as increasing in the upward direction. Therefore, the acceleration a due to graity is in the negatie y direction, i.e. a y = -g = -9.8 ms -. NOTE: There is nothing special about the parameter y. You can use any labels you like, e.g., x, z, x, etc.. The equations we hae deried work quite generally.
29 Equations of motion for constant acceleration One can easily eliminate either a y, t or oy by soling Eqs. -7 and - simultaneously. Equation number Equation = + a t y y y y y y = t+ a t = + y y y a ( y y ) y y y = ( + y ) t y y y = t a t Important: equations apply ONLY if acceleration is constant. y y Missing quantity y y y t a y y
30 A Real Example: Free fall acceleration 5 Height y (meters) Time t (seconds)
31 A Real Example: Free fall acceleration Velocity y (m/s) Time t (seconds) -
Would you risk your live driving drunk? Intro
Martha Casquete Would you risk your lie driing drunk? Intro Motion Position and displacement Aerage elocity and aerage speed Instantaneous elocity and speed Acceleration Constant acceleration: A special
(a) During the first part of the motion, the displacement is x 1 = 40 km and the time interval is t 1 (30 km / h) (80 km) 40 km/h. t. (2.
Chapter 3. Since the trip consists of two parts, let the displacements during first and second parts of the motion be x and x, and the corresponding time interals be t and t, respectiely. Now, because
Chapter 2 Motion Along a Straight Line
Chapter Motion Along a Straight Line In this chapter we will study how objects moe along a straight line The following parameters will be defined: (1) Displacement () Aerage elocity (3) Aerage speed (4)
VISUAL PHYSICS ONLINE RECTLINEAR MOTION: UNIFORM ACCELERATION
VISUAL PHYSICS ONLINE RECTLINEAR MOTION: UNIFORM ACCELERATION Predict Obsere Explain Exercise 1 Take an A4 sheet of paper and a heay object (cricket ball, basketball, brick, book, etc). Predict what will
Displacement, Time, Velocity
Lecture. Chapter : Motion along a Straight Line Displacement, Time, Velocity 3/6/05 One-Dimensional Motion The area of physics that we focus on is called mechanics: the study of the relationships between
UNDERSTAND MOTION IN ONE AND TWO DIMENSIONS
SUBAREA I. COMPETENCY 1.0 UNDERSTAND MOTION IN ONE AND TWO DIMENSIONS MECHANICS Skill 1.1 Calculating displacement, aerage elocity, instantaneous elocity, and acceleration in a gien frame of reference
PHYS 1443 Section 004 Lecture #4 Thursday, Sept. 4, 2014
PHYS 1443 Section 004 Lecture #4 Thursday, Sept. 4, 014 One Dimensional Motion Motion under constant acceleration One dimensional Kinematic Equations How do we sole kinematic problems? Falling motions
Lesson 2: Kinematics (Sections ) Chapter 2 Motion Along a Line
Lesson : Kinematics (Sections.-.5) Chapter Motion Along a Line In order to specify a position, it is necessary to choose an origin. We talk about the football field is 00 yards from goal line to goal line,
Physics 101 Lecture 3 Motion in 1D Dr. Ali ÖVGÜN
Physics 101 Lecture 3 Motion in 1D Dr. Ali ÖVGÜN EMU Physics Department Motion along a straight line q Motion q Position and displacement q Average velocity and average speed q Instantaneous velocity and
Chapter 1: Kinematics of Particles
Chapter 1: Kinematics of Particles 1.1 INTRODUCTION Mechanics the state of rest of motion of bodies subjected to the action of forces Static equilibrium of a body that is either at rest or moes with constant
PHYS 1441 Section 002 Lecture #6
PHYS 1441 Section 00 Lecture #6 Monday, Feb. 4, 008 Examples for 1-Dim kinematic equations Free Fall Motion in Two Dimensions Maximum ranges and heights Today s homework is homework #3, due 9pm, Monday,
Chapter 2. Motion in One Dimension. Professor Wa el Salah
Chapter 2 Motion in One Dimension Kinematics Describes motion while ignoring the external agents that might have caused or modified the motion For now, will consider motion in one dimension Along a straight
Feb 6, 2013 PHYSICS I Lecture 5
95.141 Feb 6, 213 PHYSICS I Lecture 5 Course website: faculty.uml.edu/pchowdhury/95.141/ www.masteringphysics.com Course: UML95141SPRING213 Lecture Capture h"p://echo36.uml.edu/chowdhury213/physics1spring.html
Motion along a straight line. Physics 11a. 4 Basic Quantities in Kinematics. Motion
Physics 11a Motion along a straight line Motion Position and Average velocity and average speed Instantaneous velocity and speed Acceleration Constant acceleration: A special case Free fall acceleration
Chapter 2. Motion in One Dimension
Chapter 2 Motion in One Dimension Types of Motion Translational An example is a car traveling on a highway. Rotational An example is the Earth s spin on its axis. Vibrational An example is the back-and-forth
Physics 1: Mechanics
Physics 1: Mechanics Đào Ngọc Hạnh Tâm Office: A1.53, Email: dnhtam@hcmiu.edu.n HCMIU, Vietnam National Uniersity Acknowledgment: Most of these slides are supported by Prof. Phan Bao Ngoc credits (3 teaching
Calculus Review. v = x t
Calculus Review Instructor : Kim 1. Average Rate of Change and Instantaneous Velocity To find the average velocity(v ) of a particle, we need to find the particle s displacement (=change in position) divided
DO PHYSICS ONLINE. WEB activity: Use the web to find out more about: Aristotle, Copernicus, Kepler, Galileo and Newton.
DO PHYSICS ONLINE DISPLACEMENT VELOCITY ACCELERATION The objects that make up space are in motion, we moe, soccer balls moe, the Earth moes, electrons moe, - - -. Motion implies change. The study of the
Motion in Two and Three Dimensions
PH 1-1D Spring 013 Motion in Two and Three Dimensions Lectures 5,6,7 Chapter 4 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) 1 Chapter 4 Motion in Two and Three Dimensions In this chapter
Chapter 4 Two-Dimensional Kinematics. Copyright 2010 Pearson Education, Inc.
Chapter 4 Two-Dimensional Kinematics Units of Chapter 4 Motion in Two Dimensions Projectile Motion: Basic Equations Zero Launch Angle General Launch Angle Projectile Motion: Key Characteristics 4-1 Motion
Physics 2048, General Physics A Prof. Stephen Hill, Course Leader
Physics 08, General Physics A Prof. Stephen Hill, Course Leader An Introduction to Mechanics, Waves and Thermodynamics In collaboration with: Dr. Y. Hori, KEN507, yhori@fsu.edu Prof. H.-K. Ng, KEN16, hkng@fsu.edu
Algebra Based Physics. Motion in One Dimension. 1D Kinematics Graphing Free Fall 2016.notebook. August 30, Table of Contents: Kinematics
Table of Contents: Kinematics Algebra Based Physics Kinematics in One Dimension 06 03 www.njctl.org Motion in One Dimension Aerage Speed Position and Reference Frame Displacement Aerage Velocity Instantaneous
Physics 111. Help sessions meet Sunday, 6:30-7:30 pm in CLIR Wednesday, 8-9 pm in NSC 098/099
ics Announcements day, ember 7, 2007 Ch 2: graphing - elocity s time graphs - acceleration s time graphs motion diagrams - acceleration Free Fall Kinematic Equations Structured Approach to Problem Soling
Chapter 2 Describing Motion: Kinematics in One Dimension
Chapter 2 Describing Motion: Kinematics in One Dimension Units of Chapter 2 Reference Frames and Displacement Average Velocity Instantaneous Velocity Acceleration Motion at Constant Acceleration Solving
Motion in Two and Three Dimensions
PH 1-A Fall 014 Motion in Two and Three Dimensions Lectures 4,5 Chapter 4 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) 1 Chapter 4 Motion in Two and Three Dimensions In this chapter
MCAT Physics - Problem Drill 06: Translational Motion
MCAT Physics - Problem Drill 06: Translational Motion Question No. 1 of 10 Instructions: (1) Read the problem and answer choices carefully () Work the problems on paper as 1. An object falls from rest
Chapter (3) Motion. in One. Dimension
Chapter (3) Motion in One Dimension Pro. Mohammad Abu Abdeen Dr. Galal Ramzy Chapter (3) Motion in one Dimension We begin our study o mechanics by studying the motion o an object (which is assumed to be
Lesson 3: Free fall, Vectors, Motion in a plane (sections )
Lesson 3: Free fall, Vectors, Motion in a plane (sections.6-3.5) Last time we looked at position s. time and acceleration s. time graphs. Since the instantaneous elocit is lim t 0 t the (instantaneous)
Note: the net distance along the path is a scalar quantity its direction is not important so the average speed is also a scalar.
PHY 309 K. Solutions for the first mid-term test /13/014). Problem #1: By definition, aerage speed net distance along the path of motion time. 1) ote: the net distance along the path is a scalar quantity
Dynamics ( 동역학 ) Ch.2 Motion of Translating Bodies (2.1 & 2.2)
Dynamics ( 동역학 ) Ch. Motion of Translating Bodies (. &.) Motion of Translating Bodies This chapter is usually referred to as Kinematics of Particles. Particles: In dynamics, a particle is a body without
(a) Taking the derivative of the position vector with respect to time, we have, in SI units (m/s),
Chapter 4 Student Solutions Manual. We apply Eq. 4- and Eq. 4-6. (a) Taking the deriatie of the position ector with respect to time, we hae, in SI units (m/s), d ˆ = (i + 4t ˆj + tk) ˆ = 8tˆj + k ˆ. dt
1. Linear Motion. Table of Contents. 1.1 Linear Motion: Velocity Time Graphs (Multi Stage) 1.2 Linear Motion: Velocity Time Graphs (Up and Down)
. LINEAR MOTION www.mathspoints.ie. Linear Motion Table of Contents. Linear Motion: Velocity Time Graphs (Multi Stage). Linear Motion: Velocity Time Graphs (Up and Down).3 Linear Motion: Common Initial
Chapter 2. Motion in One Dimension. AIT AP Physics C
Chapter 2 Motion in One Dimension Kinematics Describes motion while ignoring the agents that caused the motion For now, will consider motion in one dimension Along a straight line Will use the particle
phy 3.1.notebook September 19, 2017 Everything Moves
Eerything Moes 1 2 \ Diagrams: Motion 1) Motion (picture) no reference! time lapsed photo Type Motion? 3 origin Diagrams: reference pt. Motion reference! 1) Motion (picture) diagram time lapsed photo by
Note on Posted Slides. Motion Is Relative
Note on Posted Slides These are the slides that I intended to show in class on Tue. Jan. 9, 2014. They contain important ideas and questions from your reading. Due to time constraints, I was probably not
Chapter 2: Motion along a straight line
Chapter 2: Motion along a straight line This chapter uses the definitions of length and time to study the motions of particles in space. This task is at the core of physics and applies to all objects irregardless
Chapter 2. Motion along a Straight Line
Chapter 2 Motion along a Straight Line 1 2.1 Motion Everything in the universe, from atoms to galaxies, is in motion. A first step to study motion is to consider simplified cases. In this chapter we study
III. Relative Velocity
Adanced Kinematics I. Vector addition/subtraction II. Components III. Relatie Velocity IV. Projectile Motion V. Use of Calculus (nonuniform acceleration) VI. Parametric Equations The student will be able
One Dimensional Motion (Motion in a Straight Line)
One Dimensional Motion (Motion in a Straight Line) Chapter MOTION QUANTITIES 1 Kinematics - Intro Mechanics generally consists of two parts: Kinematics and Dynamics. Mechanics Kinematics Description of
Physics 2A Chapter 3 - Motion in Two Dimensions Fall 2017
These notes are seen pages. A quick summary: Projectile motion is simply horizontal motion at constant elocity with ertical motion at constant acceleration. An object moing in a circular path experiences
Chapter 2: Kinematics
Section 1 Chapter 2: Kinematics To simplify the concept of motion, we will first consider motion that takes place in one direction. To measure motion, you must choose a frame of reference. Frame of reference
Chapter 3 Acceleration
Chapter 3 Acceleration Slide 3-1 Chapter 3: Acceleration Chapter Goal: To extend the description of motion in one dimension to include changes in velocity. This type of motion is called acceleration. Slide
Work and Kinetic Energy
Work Work an Kinetic Energy Work (W) the prouct of the force eerte on an object an the istance the object moes in the irection of the force (constant force only). W = " = cos" (N " m = J)! is the angle
Chapter 3. Motion in One Dimension
Chapter 3 Motion in One Dimension Outline 3.1 Position, Velocity and Speed 3.2 Instantaneous Velocity and Speed 3.3 Acceleration 3.4 Motion Diagrams 3.5 One-Dimensional Motion with Constant Acceleration
Status: Unit 2, Chapter 3
1 Status: Unit, Chapter 3 Vectors and Scalars Addition of Vectors Graphical Methods Subtraction of Vectors, and Multiplication by a Scalar Adding Vectors by Components Unit Vectors Vector Kinematics Projectile
DYNAMICS. Kinematics of Particles VECTOR MECHANICS FOR ENGINEERS: Tenth Edition CHAPTER
Tenth E CHAPTER 11 VECTOR MECHANICS FOR ENGINEERS: DYNAMICS Ferdinand P. Beer E. Russell Johnston, Jr. Phillip J. Cornwell Lecture Notes: Brian P. Self California Polytechnic State Uniersity Kinematics
Motion Along a Straight Line (Motion in One-Dimension)
Chapter 2 Motion Along a Straight Line (Motion in One-Dimension) Learn the concepts of displacement, velocity, and acceleration in one-dimension. Describe motions at constant acceleration. Be able to graph
Chapter 2. Motion along a straight line. We find moving objects all around us. The study of motion is called kinematics.
Chapter 2 Motion along a straight line 2.2 Motion We find moving objects all around us. The study of motion is called kinematics. Examples: The Earth orbits around the Sun A roadway moves with Earth s
Total Distance traveled (d) S.I. Unit: meters Vector? No
Total Distance traveled (d) S.I. Unit: meters Vector? No What does Total Distance traveled mean? Total Distance traveled d is the total length of the path traveled (i.e. the path length). d = Σ l d is
Kinematics. Chapter 2. Position-Time Graph. Position
Kinematics Chapter 2 Motion in One Dimension Describes motion while ignoring the agents that caused the motion For now, will consider motion in one dimension Along a straight line Will use the particle
Note on Posted Slides. Chapter 3 Pre-Class Reading Question. Chapter 3 Reading Question : The Fine Print. Suggested End of Chapter Items
Note on Posted Slides These are the slides that I intended to show in class on Wed. Jan. 9, 2013. They contain important ideas and questions from your reading. Due to time constraints, I was probably not
Chapter 2: 1D Kinematics
Chapter 2: 1D Kinematics Description of motion involves the relationship between position, displacement, velocity, and acceleration. A fundamental goal of 1D kinematics is to determine x(t) if given initial
Chapter 2. Motion along a straight line
Chapter 2 Motion along a straight line 2.2 Motion We find moving objects all around us. The study of motion is called kinematics. Examples: The Earth orbits around the Sun A roadway moves with Earth s
CEE 271: Applied Mechanics II, Dynamics Lecture 1: Ch.12, Sec.1-3h
1 / 30 CEE 271: Applied Mechanics II, Dynamics Lecture 1: Ch.12, Sec.1-3h Prof. Albert S. Kim Civil and Environmental Engineering, University of Hawaii at Manoa Tuesday, August 21, 2012 2 / 30 INTRODUCTION
Physics 4A Solutions to Chapter 4 Homework
Physics 4A Solutions to Chapter 4 Homework Chapter 4 Questions: 4, 1, 1 Exercises & Problems: 5, 11, 3, 7, 8, 58, 67, 77, 87, 11 Answers to Questions: Q 4-4 (a) all tie (b) 1 and tie (the rocket is shot
Kinematics of Particles
nnouncements Recitation time is set to 8am eery Monday. Participation i credit will be gien to students t who uploads a good question or good answer to the Q& bulletin board. Suggestions? T s and I will
Chapter 3: 2D Kinematics Tuesday January 20th
Chapter 3: 2D Kinematics Tuesday January 20th Chapter 3: Vectors Review: Properties of vectors Review: Unit vectors Position and displacement Velocity and acceleration vectors Relative motion Constant
Chapter 2. Motion along a straight line
Chapter 2 Motion along a straight line 2.2 Motion We find moving objects all around us. The study of motion is called kinematics. Examples: The Earth orbits around the Sun A roadway moves with Earth s
Review. acceleration is the rate of change of velocity (how quickly the velocity is changing) For motion in a line. v t
Accelerated Motion Reiew acceleration is the rate o change o elocity (how quickly the elocity is changing) For motion in a line a i t t When an object is moing in a straight line, a positie acceleration
Chapter 2 Motion Along A Straight Line
Chapter 2 Motion Along A Straight Line Kinematics: Description of Motion Motion in one dimension (1-D) Motion of point particles Treat larger objects as particles center of mass Chapter 2 Motion in 1-D
Lecture PowerPoints. Chapter 2 Physics: Principles with Applications, 6 th edition Giancoli
Lecture PowerPoints Chapter 2 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the
MOTION OF FALLING OBJECTS WITH RESISTANCE
DOING PHYSICS WIH MALAB MECHANICS MOION OF FALLING OBJECS WIH RESISANCE Ian Cooper School of Physics, Uniersity of Sydney ian.cooper@sydney.edu.au DOWNLOAD DIRECORY FOR MALAB SCRIPS mec_fr_mg_b.m Computation
Linear Momentum and Collisions Conservation of linear momentum
Unit 4 Linear omentum and Collisions 4.. Conseration of linear momentum 4. Collisions 4.3 Impulse 4.4 Coefficient of restitution (e) 4.. Conseration of linear momentum m m u u m = u = u m Before Collision
CHAPTER 3: Kinematics in Two Dimensions; Vectors
HAPTER 3: Kinematics in Two Dimensions; Vectors Solution Guide to WebAssign Problems 3.1 [] The truck has a displacement of 18 + (16) blocks north and 1 blocks east. The resultant has a magnitude of +
Department of Physics PHY 111 GENERAL PHYSICS I
EDO UNIVERSITY IYAMHO Department o Physics PHY 111 GENERAL PHYSICS I Instructors: 1. Olayinka, S. A. (Ph.D.) Email: akinola.olayinka@edouniersity.edu.ng Phone: (+234) 8062447411 2. Adekoya, M. A Email:
HW Chapter 3 Q 14,15 P 2,7,812,18,24,25. Chapter 3. Motion in the Universe. Dr. Armen Kocharian
HW Chapter 3 Q 14,15 P 2,7,812,18,24,25 Chapter 3 Motion in the Universe Dr. Armen Kocharian Predictability The universe is predictable and quantifiable Motion of planets and stars description of motion
CIRCULAR MOTION EXERCISE 1 1. d = rate of change of angle
CICULA MOTION EXECISE. d = rate of change of angle as they both complete angle in same time.. c m mg N r m N mg r Since r A r B N A N B. a Force is always perpendicular to displacement work done = 0 4.
Science One Integral Calculus
Science One Integral Calculus January 018 Happy New Year! Differential Calculus central idea: The Derivative What is the derivative f (x) of a function f(x)? Differential Calculus central idea: The Derivative
Distance vs. Displacement, Speed vs. Velocity, Acceleration, Free-fall, Average vs. Instantaneous quantities, Motion diagrams, Motion graphs,
Distance vs. Displacement, Speed vs. Velocity, Acceleration, Free-fall, Average vs. Instantaneous quantities, Motion diagrams, Motion graphs, Kinematic formulas. A Distance Tells how far an object is from
Chapter 11 Collision Theory
Chapter Collision Theory Introduction. Center o Mass Reerence Frame Consider two particles o masses m and m interacting ia some orce. Figure. Center o Mass o a system o two interacting particles Choose
Chapter 2. Motion along a straight line
Chapter 2 Motion along a straight line 2.2 Motion We find moving objects all around us. The study of motion is called kinematics. Specifically, the description of motion. Examples: The Earth orbits around
Lecture PowerPoints. Chapter 2 Physics: Principles with Applications, 7 th edition Giancoli
Lecture PowerPoints Chapter 2 Physics: Principles with Applications, 7 th edition Giancoli This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching
Chapter 2. Motion along a straight line
Chapter 2 Motion along a straight line Introduction: Study of the motion of objects Physics studies: Properties of matter and energy: solid state physics, thermal physics/ thermodynamics, atomic physics,
KINETICS: MOTION ON A STRAIGHT LINE. VELOCITY, ACCELERATION. FREELY FALLING BODIES
014.08.06. KINETICS: MOTION ON A STRAIGHT LINE. VELOCITY, ACCELERATION. FREELY FALLING BODIES www.biofizika.aok.pte.hu Premedical course 04.08.014. Fluids Kinematics Dynamics MECHANICS Velocity and acceleration
Chapter 2. Kinematics in One Dimension
Register Clickers Chapter 2 Kinematics in One Dimension Kinematics deals with the concepts that are needed to describe motion. Dynamics deals with the effect that forces have on motion. Together, kinematics
Module 4: One-Dimensional Kinematics
4.1 Introduction Module 4: One-Dimensional Kinematics Kinematics is the mathematical description of motion. The term is derived from the Greek word kinema, meaning movement. In order to quantify motion,
KINEMATICS IN ONE DIMENSION p. 1
KINEMATICS IN ONE DIMENSION p. 1 Motion involves a change in position. Position can be indicated by an x-coordinate on a number line. ex/ A bumblebee flies along a number line... x = 2 when t = 1 sec 2
Chapter 3 Acceleration
Chapter 3 Acceleration Slide 3-1 Chapter 3: Acceleration Chapter Goal: To extend the description of motion in one dimension to include changes in velocity. This type of motion is called acceleration. Slide
Definitions. Mechanics: The study of motion. Kinematics: The mathematical description of motion in 1-D and 2-D motion.
Lecture 2 Definitions Mechanics: The study of motion. Kinematics: The mathematical description of motion in 1-D and 2-D motion. Dynamics: The study of the forces that cause motion. Chapter Outline Consider
DYNAMICS. Kinematics of Particles Engineering Dynamics Lecture Note VECTOR MECHANICS FOR ENGINEERS: Eighth Edition CHAPTER
27 The McGraw-Hill Companies, Inc. All rights resered. Eighth E CHAPTER 11 VECTOR MECHANICS FOR ENGINEERS: DYNAMICS Ferdinand P. Beer E. Russell Johnston, Jr. Kinematics of Particles Lecture Notes: J.
Chapter 7. Work and Kinetic Energy
Chapter 7 Work and Kinetic Energy P. Lam 7_16_2018 Learning Goals for Chapter 7 To understand the concept of kinetic energy (energy of motion) To understand the meaning of work done by a force. To apply
Describing motion: Kinematics in one dimension
Describing motion: Kinematics in one dimension Scientist Galileo Galilei Issac Newton Vocabulary Mechanics Kinematics Dynamics Translational Motion Particle Frame of Reference Coordinate axes Position
AP Physics Multiple Choice Practice Gravitation
AP Physics Multiple Choice Practice Graitation. Each of fie satellites makes a circular orbit about an object that is much more massie than any of the satellites. The mass and orbital radius of each satellite
Chapter 8 : Motion. KEY CONCEPTS [ *rating as per the significance of concept ]
Chapter 8 : Motion KEY CONCEPTS [ *rating as per the significance of concept ] 1 Motion **** 2 Graphical Representation of Motion *** & Graphs 3 Equation of motion **** 4 Uniform Circular Motion ** 1 Motion
( ) Momentum and impulse Mixed exercise 1. 1 a. Using conservation of momentum: ( )
Momentum and impulse Mixed exercise 1 1 a Using conseration of momentum: ( ) 6mu 4mu= 4m 1 u= After the collision the direction of Q is reersed and its speed is 1 u b Impulse = change in momentum I = (3m
What is a Vector? A vector is a mathematical object which describes magnitude and direction
What is a Vector? A vector is a mathematical object which describes magnitude and direction We frequently use vectors when solving problems in Physics Example: Change in position (displacement) Velocity
Describes motion while ignoring the agents that caused the motion For now, will consider motion in one dimension
Kinematics Describes motion while ignoring the agents that caused the motion For now, will consider motion in one dimension Along a straight line Will use the particle model A particle is a point-like
Chapter 3 Acceleration
Chapter 3 Acceleration Slide 3-1 PackBack The first answer gives a good physical picture. The video was nice, and worth the second answer. https://www.youtube.com/w atch?v=m57cimnj7fc Slide 3-2 Slide 3-3
SKAA 1213 Engineering Mechanics
SKAA 113 Engineering Mechanic TOPIC 8 KINEMATIC OF PARTICLES Lecturer: Roli Anang Dr. Mohd Yunu Ihak Dr. Tan Cher Siang Outline Introduction Rectilinear Motion Curilinear Motion Problem Introduction General
Chapter 2 One-Dimensional Kinematics. Copyright 2010 Pearson Education, Inc.
Chapter 2 One-Dimensional Kinematics Units of Chapter 2 Position, Distance, and Displacement Average Speed and Velocity Instantaneous Velocity Acceleration Motion with Constant Acceleration Applications
Some Motion Terms. Distance & Displacement Velocity & Speed Acceleration Uniform motion Scalar.vs. vector
Motion Some Motion Terms Distance & Displacement Velocity & Speed Acceleration Uniform motion Scalar.vs. vector Scalar versus Vector Scalar - magnitude only (e.g. volume, mass, time) Vector - magnitude
Chapter 2. Kinematics in One Dimension. continued
Chapter 2 Kinematics in One Dimension continued 2.4 Equations of Kinematics for Constant Acceleration vx0 = 0m s ax = +31 m s 2 Δx vx = 62m s Example: Catapulting a Jet Find its displacement. vx0 = 0m
Trigonometry I. Pythagorean theorem: WEST VIRGINIA UNIVERSITY Physics
Trigonometry I Pythagorean theorem: Trigonometry II 90 180 270 360 450 540 630 720 sin(x) and cos(x) are mathematical functions that describe oscillations. This will be important later, when we talk about
Motion In Two Dimensions. Vectors in Physics
Motion In Two Dimensions RENE DESCARTES (1736-1806) GALILEO GALILEI (1564-1642) Vectors in Physics All physical quantities are either scalars or ectors Scalars A scalar quantity has only magnitude. In
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS AP PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS AP PHYSICS LSN 3-7: PROJECTILE MOTION IS PARABOLIC LSN 3-8: RELATIVE VELOCITY Questions From Reading Actiity? Big Idea(s): The interactions of an object with other
Motion Along a Straight Line
Chapter 2 Motion Along a Straight Line PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman Lectures by James Pazun Copyright 2008 Pearson Education Inc., publishing
A. unchanged increased B. unchanged unchanged C. increased increased D. increased unchanged
IB PHYSICS Name: DEVIL PHYSICS Period: Date: BADDEST CLASS ON CAMPUS CHAPTER B TEST REVIEW. A rocket is fired ertically. At its highest point, it explodes. Which one of the following describes what happens
Chapter 2. Kinematics in One Dimension
Register Clickers Chapter 2 Kinematics in One Dimension Kinematics deals with the concepts that are needed to describe motion. Dynamics deals with the effect that forces have on motion. Together, kinematics
Topic 1: 1D Motion PHYSICS 231
Topic 1: 1D Motion PHYSICS 231 Current Assignments Reading Chapter 1.5 and 3 due Tuesday, Jan 18, beginning of class Homework Set 1 already open (covers this week) due Thursday, Jan 20, 11 pm Recommended
Chapter 2. Preview. Objectives One Dimensional Motion Displacement Average Velocity Velocity and Speed Interpreting Velocity Graphically
Section 1 Displacement and Velocity Preview Objectives One Dimensional Motion Displacement Average Velocity Velocity and Speed Interpreting Velocity Graphically Section 1 Displacement and Velocity Objectives