Topic 1: Linear motion and forces
|
|
- Phillip Jennings
- 6 years ago
- Views:
Transcription
1 TOPIC 1 Topic 1: Linear moion and forces 1.1 Moion under consan acceleraion Science undersanding 1. Linear moion wih consan elociy is described in erms of relaionships beween measureable scalar and ecor quaniies, including displacemen, disance,, and elociy 1 Sole problems using = s Inerpre soluions o problems in a ariey of conexs. Explain and sole problems inoling he insananeous elociy of an objec. 2. Acceleraion is a change in moion. Uniformly acceleraed moion is described in erms of relaionships beween measurable scalar and ecor quaniies, including displacemen,, elociy, and acceleraion. Sole problems using equaions for consan acceleraion and a =. Inerpre soluions o problems in a ariey of conexs. Make reasonable and appropriae esimaions of physical quaniies in a ariey of conexs. 3. Graphical represenaions can be used qualiaiely and quaniaiely o describe and predic aspecs of linear moion. Use graphical mehods o represen linear moion, including he consrucion of graphs showing: posiion ersus ime elociy ersus ime acceleraion ersus ime. Use graphical represenaions o deermine quaniies such as posiion, displacemen, disance, elociy, and acceleraion. Use graphical echniques o calculae he insananeous elociy and insananeous acceleraion of an objec. 4. Equaions of moion quaniaiely describe and predic aspecs of linear moion. Sole and inerpre problems using he equaions of moion: = 0 a s= a2 2 = 0 2 2as 5. Verical moion is analysed by assuming ha he acceleraion due o graiy is consan near Earh s surface. 6. The consan acceleraion due o graiy near he surface of he Earh is approximaely g = 9.80 ms -2. Sole problems for objecs undergoing erical moion because of he acceleraion due o graiy in he absence of air resisance. Explain he concep of free-falling objecs and he condiions under which free-falling moion may be approximaed. Describe qualiaiely he effecs ha air resisance has on erical moion. 7. Use equaions of moion and graphical represenaions o deermine he acceleraion due o graiy. Speed The of an objec is defined as he disance he objec raels per uni ime. The disance raelled by an objec is simply how far i moes. The uni of is kilomere per hour (kmh -1 ) or mere per second (ms -1 ). Noe: We wrie kmh -1 no km/h and ms -1 no m/s. The sandard inernaional (SI) uni is ms -1. SACE 2016 Essenials Educaion 3
2 STAGE 1 PHYSICS TOPIC 1: LINEAR MOTION AND FORCES The equaion for calculaing is = disance ime Using symbols we wrie = s Where =, s = disance and = ime. If he disance is in kilomeres and he ime is in hours, he uni of is kmh -1. If he disance is in meres and he ime is in seconds, he uni of is ms -1. Differen ypes of Aerage Calculaing he of an objec ofen inoles calculaing an aerage. Aerage does no ake ino accoun any changes in moion. I inoles he oal disance raelled and he oal ime. I doesn indicae wheher he objec s up, slows down or sops during he journey. For insance, a car may rael beween wo owns. I s up as i akes off from a se of lighs, i slows down as i approaches he nex se of lighs and i emporarily sops when i reaches a red ligh. Consan a = s oal oal Consan means ha an objec raels exacly he same disance eery uni of ime. Ligh raels wih a consan of meres eery second. Sound waes rael wih a consan of 330 meres eery second in air (his can change depending on he densiy of he air). If a car is raelling wih a consan of 60 kmh -1, his means ha i raels exacly 60 kilomeres eery hour. The diagram aboe illusraes consan moion or. The dos are equally spaced, which means he objec raels he same disance per uni of ime, i.e. i raels wih consan. Insananeous Insananeous is he of an objec a a paricular insan in ime. I is wha he omeer in a car measures. As he car s up or slows down he needle on he omeer poins o he of he car a a paricular insan of ime. Science as a human endeaour Laser guns Laser guns work by sending ou pulses of infra-red laser ligh owards a moing objec, such as a car. The ime aken for a pulse o reurn o he gun is recorded. The disance o he car is calculaed using: s = = The objec coninues moing, and he ime aken for a second pulse o reurn o he laser gun is recorded. The new disance o he car is calculaed using: s = = The disance raelled by he car beween he wo pulses is he difference beween hese wo alues. The of he car is calculaed using: = s raelled beween pulses beween pulses Inesigae oher ways of calculaing he of an objec, e.g. radar gun, poin-o-poin cameras. Wha are he benefis and limiaions? Running wih dinosaurs How did Rober Alexander (1976) deelop a mehod for deermining he gai and of dinosaurs? 4 Essenials Educaion
3 TOPIC 1 Common Conersions useful o problem soling km o m 1000 or 10 3 cm o m 100 or 10 2 minues o seconds (s) 60 hours o s days o s kmh -1 o ms ms -1 o kmh Worked examples 1. A dog runs 30 m in 4.0 s. Calculae he aerage of he dog. = s = 30 4 = 7.5 ms-1 2. A marble circles he inside rim of a bowl of radius 15.0 cm fie imes in 20.0 s. Deermine he aerage of he marble. radius = 15.0 cm = 0.15 m (The disance coered is he circumference of he bowl. We calculae he circumference using 2 r) = 20.0 s = s = 2 r 5 20 = A boa raels 10.0 km in 30.0 minues. = ms -1 (a) Calculae he aerage of he boa in kmh -1 and ms -1. s = 10.0 km = 30.0 minues = = 0.5 h = s = 10 = 20.0 kmh kmh -1 = = 5.56 ms -1 (b) Calculae he disance raelled by he boa in 6.50 hours. s = = = 130 km 4. Ligh raels wih a of ms -1. Calculae he ime aken for ligh o rael from he Sun o Earh, a disance of m. = s = = 500 s Essenials Educaion 5
4 STAGE 1 PHYSICS TOPIC 1: LINEAR MOTION AND FORCES Vecor and scalar quaniies Quaniies ha hae size or magniude only are called scalar quaniies. Examples include mass, ime, energy and emperaure. Quaniies ha hae boh magniude and direcion are called ecor quaniies. One example is force (a push or a pull). This is because an objec can be pulled or pushed in a gien direcion e.g. 5 N eas. We will come across many ecor quaniies hroughou his course. We will deal wih each as i arises. Some examples of scalar and ecor quaniies are summarised in he able below. Scalar quaniies disance ime mass olume emperaure charge hea energy power Represening ecor quaniies Vecor quaniies displacemen elociy acceleraion force momenum elecric field magneic field From your Year 10 sudies, you will be familiar wih a force being a push or pull. Force has magniude and direcion, and is herefore a ecor quaniy. Head A ecor quaniy is denoed in bold ype or wih an arrow aboe he symbol. F = 5 N or F = 5N An arrow is used o represen he ecor quaniy. The lengh of he arrow represens he magniude of he ecor and he arrow head poins in he direcion of he ecor. Tail This may represen 5 N norh. 6 Essenials Educaion
5 TOPIC 1 Adding ecor quaniies Worked examples 5 N norh + 4 N norh 5 N 4 N 1 9 N norh 4 N norh + 3 N eas 4.0 N 3.0 N The oal or resulan force is A ecor riangle is drawn in order o add he wo ecors. The ecors are added head o ail. The order doesn maer. Pyhagoras Theorem is used o find he magniude of he resulan force and rigonomeric raios are used o find he direcion. 3 N 2 2 F = = 5N R opposie 3 anθ = = adjacen 4 θ an ( 3 1 = 4 ) θ = 37 o 4 N θ F R The final answer is expressed wih magniude and direcion. F R = 5.0 N N37 Noe: A scale diagram could hae been used o sole he aboe problem. Essenials Educaion 7
6 STAGE 1 PHYSICS TOPIC 1: LINEAR MOTION AND FORCES Displacemen and elociy Disance is how far an objec has raelled (or lengh coered). I is a scalar quaniy because no direcion is inoled. Posiion is he locaion of a body. Displacemen is he change in posiion and includes direcion. I is a ecor quaniy since i inoles boh magniude (size) and direcion. Velociy is defined as displacemen per uni ime. Velociy is a ecor quaniy. Worked examples 1. A man walks 5.0 km in a norherly direcion and hen 2.0 km in a souherly direcion. (a) Sae he disance raelled by he man. 7.0 km (b) Sae he displacemen of he man. 3.0 km Norh 2. A ferre races 20.0 m S and hen 10.0 m eas. (a) Calculae he disance raelled by he ferre m (b) Calculae he displacemen of he ferre. 2 2 s = = 22.4m 20.0 m s = 22.4 m S26.6 E 3. A boa is rowed wih a of 3.00 ms -1 in a norherly direcion. I encouners a waer curren flowing a 1.00 ms -1 in an easerly direcion. (a) Calculae he resulan elociy of he boa ms -1 = 3.16 ms -1 N18.4 E (b) Calculae he boa s displacemen afer 10.0 minues. s θ 10.0 m = = 3.16 (10 60) = 1896m = m N18.4 E (c) Assume ha he rower s inenion was o row o a desinaion direcly norh of his saring poin. How far off course is he boa afer 10.0 minues? s = = 1 (10 60) = 600m s 1.00 ms -1 θ opposie 10 anθ = = adjacen 29 θ an ( 10 1 = 20 ) θ = 26.6 o (d) How could he effec of he curren be compensaed for? = = 3.16ms θ an ( 1 1 = 3 ) θ = 18.4 o opposie 1 anθ = = adjacen 3 Row ino he curren wih a elociy of 3.16 ms -1 N18.4 W 8 Essenials Educaion
7 TOPIC 1 4. A man for his morning finess rouine walks 5.50 km W and hen urns and walks 10.0 km S in 3.00 hours and 15.0 minues. Calculae he (a) disance raelled by he man km = 16.0 km (b) man s final displacemen km 5.50 km s θ s 2 2 = = 11.4km opposie 10 anθ = = adjacen 5.5 θ an ( 10 1 = 5.5 ) θ = (c) man s aerage for he journey. s 15.5 = = = 4.80 kmh (d) man s aerage elociy for he journey. s 11.4 = = = 3.50 kmh Subracing ecors s = 11.4 km W61.2 S If 5 N norh is represened as 5N, hen -5N mus mean 5N or 5 N souh. When subracing a ecor, i is added in reerse. Therefore 5N norh 5 N souh = 5N 5N = 5N + 5N = 10N Examples 1. 50N 100N = 50N + 100N = 150N 2. 2N 3N = 2N + 3N = 1N Acceleraion If an objec is no raelling wih consan (i.e. i is ing up or slowing down) is said o be acceleraing. Acceleraion is he change in elociy per uni ime or he rae of change in elociy. a = Δ Δ = f i Δ where = change in elociy f = final elociy in ms -1 i = iniial elociy in ms -1 = ime aken for he change in elociy in s Unis: ms -2 Since elociy is a ecor quaniy, hen he acceleraion will also hae a magniude and direcion and is herefore considered a ecor quaniy. Essenials Educaion 9
8 STAGE 1 PHYSICS TOPIC 1: LINEAR MOTION AND FORCES Noes: 1. If direcion is no inoled i.e. only he changes, hen he acceleraion of an objec is he change in per uni ime. 2. Alhough he of an objec may be consan, a change in direcion consiues a change in elociy. The objec is said o accelerae. 3. A consan acceleraion of 3 ms -2 means ha he objec s up by 3 ms -1 eery second i.e. he increases as follows afer eery second: 0 ms -1, 3 ms -1, 6 ms -1,9 ms -1, 12 ms -1, 15 ms If an objec s up, he acceleraion is posiie. 5. If an objec slows down, he acceleraion is negaie. This is someimes called a deceleraion. 6. The acceleraion due o graiy is consan near he surface of he Earh and is g = 9.80 ms -2 owards he cenre of he Earh. Worked examples 1. A car acceleraes from res o a of 60.0 kmh -1 in 5.00 seconds. Calculae he acceleraion of he car. 60 a = f i = = 3.33ms 2 Δ 5 2. A ruck can accelerae from res a a rae of 4.00 ms -2. Calculae is afer 8.00 seconds. Answer in ms -1 and kmh -1. a = f i Δ f = i +a = = 32.0ms 1 =115kmh 1 3. A ball is hrown erically ino he air wih a of 10.0 ms -1. Calculae he ime aken o reach is maximum heigh. a = f i Δ Δ = f i a 4. A ball collides wih a wall as shown. = =1.02s 7.0 ms ms -1 (a) Calculae he ball s change in elociy. = f i = 7 7 = 7 +7 =14ms 1 (90 away from he wall) (b) If he collision akes s, calculae he acceleraion experienced by he ball. a = Δ Δ = =120ms 2 Helpful online resources Explore he relaionship beween elociy and acceleraion using he compuer ineracie The Maze Game. hps://phe.colorado.edu/en/simulaion/legacy/maze-game 10 Essenials Educaion
9 TOPIC 1 Graphing Moion Saionary Moion disance acceleraion S a 1 Consan Speed disance S acceleraion a The gradien of a disance-ime graph represens. gradien = rise run = Δs Δ Consan acceleraion disance S acceleraion a The disance ime graph aboe indicaes ha he disance raelled per uni ime increases. This represens acceleraed moion. disance S acceleraion a The disance ime graph aboe represens a negaie acceleraion or deceleraed moion as he disance raelled per uni ime is decreasing. Essenials Educaion 11
10 STAGE 1 PHYSICS TOPIC 1: LINEAR MOTION AND FORCES The gradien of he angen of a disance ime graph a any paricular ime represens he insananeous elociy a ha ime. We wrie = Δs Δ as Δ 0 The area under of a ime graph represens disance. Non consan acceleraion A cured ime graph indicaes ha he is consanly changing. The gradien of he angen a a gien poin represens he insananeous acceleraion. i.e. he change in elociy ha akes place oer a ery shor period of ime 0. We wrie Worked examples a = Δ Δ 1. Consider he graph below for he moion of a oy car. 30 as Δ 0 S (m) 20 (a) Describe he moion of he oy car (s) Noe: This diagram is no o scale The oy car raels wih consan, raelling 20 m in 5 s. The car hen remains saionary for 5 s and hen raels wih a higher consan for he remaining 3 seconds. (b) Sae he oal disance raelled by he oy car. 30 m (c) Calculae he aerage of he oy car. = s = = 2.3ms 1 12 Essenials Educaion
Physics Notes - Ch. 2 Motion in One Dimension
Physics Noes - Ch. Moion in One Dimension I. The naure o physical quaniies: scalars and ecors A. Scalar quaniy ha describes only magniude (how much), NOT including direcion; e. mass, emperaure, ime, olume,
More informationPhys 221 Fall Chapter 2. Motion in One Dimension. 2014, 2005 A. Dzyubenko Brooks/Cole
Phys 221 Fall 2014 Chaper 2 Moion in One Dimension 2014, 2005 A. Dzyubenko 2004 Brooks/Cole 1 Kinemaics Kinemaics, a par of classical mechanics: Describes moion in erms of space and ime Ignores he agen
More informationUnit 1 Test Review Physics Basics, Movement, and Vectors Chapters 1-3
A.P. Physics B Uni 1 Tes Reiew Physics Basics, Moemen, and Vecors Chapers 1-3 * In sudying for your es, make sure o sudy his reiew shee along wih your quizzes and homework assignmens. Muliple Choice Reiew:
More informationOne-Dimensional Kinematics
One-Dimensional Kinemaics One dimensional kinemaics refers o moion along a sraigh line. Een hough we lie in a 3-dimension world, moion can ofen be absraced o a single dimension. We can also describe moion
More information1. The graph below shows the variation with time t of the acceleration a of an object from t = 0 to t = T. a
Kinemaics Paper 1 1. The graph below shows he ariaion wih ime of he acceleraion a of an objec from = o = T. a T The shaded area under he graph represens change in A. displacemen. B. elociy. C. momenum.
More informationKINEMATICS IN ONE DIMENSION
KINEMATICS IN ONE DIMENSION PREVIEW Kinemaics is he sudy of how hings move how far (disance and displacemen), how fas (speed and velociy), and how fas ha how fas changes (acceleraion). We say ha an objec
More informationIB Physics Kinematics Worksheet
IB Physics Kinemaics Workshee Wrie full soluions and noes for muliple choice answers. Do no use a calculaor for muliple choice answers. 1. Which of he following is a correc definiion of average acceleraion?
More informationEquations of motion for constant acceleration
Lecure 3 Chaper 2 Physics I 01.29.2014 Equaions of moion for consan acceleraion Course websie: hp://faculy.uml.edu/andriy_danylo/teaching/physicsi Lecure Capure: hp://echo360.uml.edu/danylo2013/physics1spring.hml
More informationDisplacement ( x) x x x
Kinemaics Kinemaics is he branch of mechanics ha describes he moion of objecs wihou necessarily discussing wha causes he moion. 1-Dimensional Kinemaics (or 1- Dimensional moion) refers o moion in a sraigh
More information2.1: What is physics? Ch02: Motion along a straight line. 2.2: Motion. 2.3: Position, Displacement, Distance
Ch: Moion along a sraigh line Moion Posiion and Displacemen Average Velociy and Average Speed Insananeous Velociy and Speed Acceleraion Consan Acceleraion: A Special Case Anoher Look a Consan Acceleraion
More informationCourse II. Lesson 7 Applications to Physics. 7A Velocity and Acceleration of a Particle
Course II Lesson 7 Applicaions o Physics 7A Velociy and Acceleraion of a Paricle Moion in a Sraigh Line : Velociy O Aerage elociy Moion in he -ais + Δ + Δ 0 0 Δ Δ Insananeous elociy d d Δ Δ Δ 0 lim [ m/s
More informationGround Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. A/Prof Tay Seng Chuan
Ground Rules PC11 Fundamenals of Physics I Lecures 3 and 4 Moion in One Dimension A/Prof Tay Seng Chuan 1 Swich off your handphone and pager Swich off your lapop compuer and keep i No alking while lecure
More informationChapter 12: Velocity, acceleration, and forces
To Feel a Force Chaper Spring, Chaper : A. Saes of moion For moion on or near he surface of he earh, i is naural o measure moion wih respec o objecs fixed o he earh. The 4 hr. roaion of he earh has a measurable
More informationPhysics for Scientists and Engineers. Chapter 2 Kinematics in One Dimension
Physics for Scieniss and Engineers Chaper Kinemaics in One Dimension Spring, 8 Ho Jung Paik Kinemaics Describes moion while ignoring he agens (forces) ha caused he moion For now, will consider moion in
More informationPhysics 20 Lesson 5 Graphical Analysis Acceleration
Physics 2 Lesson 5 Graphical Analysis Acceleraion I. Insananeous Velociy From our previous work wih consan speed and consan velociy, we know ha he slope of a posiion-ime graph is equal o he velociy of
More information2. What is the displacement of the bug between t = 0.00 s and t = 20.0 s? A) cm B) 39.9 cm C) cm D) 16.1 cm E) +16.
1. For which one of he following siuaions will he pah lengh equal he magniude of he displacemen? A) A jogger is running around a circular pah. B) A ball is rolling down an inclined plane. C) A rain ravels
More informationPhysics 101: Lecture 03 Kinematics Today s lecture will cover Textbook Sections (and some Ch. 4)
Physics 101: Lecure 03 Kinemaics Today s lecure will coer Texbook Secions 3.1-3.3 (and some Ch. 4) Physics 101: Lecure 3, Pg 1 A Refresher: Deermine he force exered by he hand o suspend he 45 kg mass as
More informationSolution: b All the terms must have the dimension of acceleration. We see that, indeed, each term has the units of acceleration
PHYS 54 Tes Pracice Soluions Spring 8 Q: [4] Knowing ha in he ne epression a is acceleraion, v is speed, is posiion and is ime, from a dimensional v poin of view, he equaion a is a) incorrec b) correc
More informationSuggested Practice Problems (set #2) for the Physics Placement Test
Deparmen of Physics College of Ars and Sciences American Universiy of Sharjah (AUS) Fall 014 Suggesed Pracice Problems (se #) for he Physics Placemen Tes This documen conains 5 suggesed problems ha are
More information1. VELOCITY AND ACCELERATION
1. VELOCITY AND ACCELERATION 1.1 Kinemaics Equaions s = u + 1 a and s = v 1 a s = 1 (u + v) v = u + as 1. Displacemen-Time Graph Gradien = speed 1.3 Velociy-Time Graph Gradien = acceleraion Area under
More informationChapter 2: One-Dimensional Kinematics
Chaper : One-Dimensional Kinemaics Answers o Een-Numbered Concepual Quesions. An odomeer measures he disance raeled by a car. You can ell his by he fac ha an odomeer has a nonzero reading afer a round
More informationQ2.4 Average velocity equals instantaneous velocity when the speed is constant and motion is in a straight line.
CHAPTER MOTION ALONG A STRAIGHT LINE Discussion Quesions Q. The speedomeer measures he magniude of he insananeous eloci, he speed. I does no measure eloci because i does no measure direcion. Q. Graph (d).
More informationMotion along a Straight Line
chaper 2 Moion along a Sraigh Line verage speed and average velociy (Secion 2.2) 1. Velociy versus speed Cone in he ebook: fer Eample 2. Insananeous velociy and insananeous acceleraion (Secions 2.3, 2.4)
More informationPage 1 o 13 1. The brighes sar in he nigh sky is α Canis Majoris, also known as Sirius. I lies 8.8 ligh-years away. Express his disance in meers. ( ligh-year is he disance coered by ligh in one year. Ligh
More informationKinematics. introduction to kinematics 15A
15 15A Inroducion o kinemaics 15B Velociy ime graphs and acceleraion ime graphs 15C Consan acceleraion formulas 15D Insananeous raes of change Kinemaics AreAS of STuDy Diagrammaic and graphical represenaion
More informationKinematics Vocabulary. Kinematics and One Dimensional Motion. Position. Coordinate System in One Dimension. Kinema means movement 8.
Kinemaics Vocabulary Kinemaics and One Dimensional Moion 8.1 WD1 Kinema means movemen Mahemaical descripion of moion Posiion Time Inerval Displacemen Velociy; absolue value: speed Acceleraion Averages
More informationChapter 3 Kinematics in Two Dimensions
Chaper 3 KINEMATICS IN TWO DIMENSIONS PREVIEW Two-dimensional moion includes objecs which are moing in wo direcions a he same ime, such as a projecile, which has boh horizonal and erical moion. These wo
More informationWEEK-3 Recitation PHYS 131. of the projectile s velocity remains constant throughout the motion, since the acceleration a x
WEEK-3 Reciaion PHYS 131 Ch. 3: FOC 1, 3, 4, 6, 14. Problems 9, 37, 41 & 71 and Ch. 4: FOC 1, 3, 5, 8. Problems 3, 5 & 16. Feb 8, 018 Ch. 3: FOC 1, 3, 4, 6, 14. 1. (a) The horizonal componen of he projecile
More informationRECTILINEAR MOTION. Contents. Theory Exercise Exercise Exercise Exercise Answer Key
RECTILINEAR MOTION Conens Topic Page No. Theory 01-01 Exercise - 1 0-09 Exercise - 09-14 Exercise - 3 15-17 Exercise - 4 17-0 Answer Key 1 - Syllabus Kinemaics in one dimension. Name : Conac No. ARRIDE
More informationLecture 2-1 Kinematics in One Dimension Displacement, Velocity and Acceleration Everything in the world is moving. Nothing stays still.
Lecure - Kinemaics in One Dimension Displacemen, Velociy and Acceleraion Everyhing in he world is moving. Nohing says sill. Moion occurs a all scales of he universe, saring from he moion of elecrons in
More information4.5 Constant Acceleration
4.5 Consan Acceleraion v() v() = v 0 + a a() a a() = a v 0 Area = a (a) (b) Figure 4.8 Consan acceleraion: (a) velociy, (b) acceleraion When he x -componen of he velociy is a linear funcion (Figure 4.8(a)),
More informationIn this chapter the model of free motion under gravity is extended to objects projected at an angle. When you have completed it, you should
Cambridge Universiy Press 978--36-60033-7 Cambridge Inernaional AS and A Level Mahemaics: Mechanics Coursebook Excerp More Informaion Chaper The moion of projeciles In his chaper he model of free moion
More informationLecture 4 Kinetics of a particle Part 3: Impulse and Momentum
MEE Engineering Mechanics II Lecure 4 Lecure 4 Kineics of a paricle Par 3: Impulse and Momenum Linear impulse and momenum Saring from he equaion of moion for a paricle of mass m which is subjeced o an
More information0 time. 2 Which graph represents the motion of a car that is travelling along a straight road with a uniformly increasing speed?
1 1 The graph relaes o he moion of a falling body. y Which is a correc descripion of he graph? y is disance and air resisance is negligible y is disance and air resisance is no negligible y is speed and
More informationSpeed and Velocity. Overview. Velocity & Speed. Speed & Velocity. Instantaneous Velocity. Instantaneous and Average
Overview Kinemaics: Descripion of Moion Posiion and displacemen velociy»insananeous acceleraion»insananeous Speed Velociy Speed and Velociy Speed & Velociy Velociy & Speed A physics eacher walks 4 meers
More informationINSTANTANEOUS VELOCITY
INSTANTANEOUS VELOCITY I claim ha ha if acceleraion is consan, hen he elociy is a linear funcion of ime and he posiion a quadraic funcion of ime. We wan o inesigae hose claims, and a he same ime, work
More informationPHYSICS 220 Lecture 02 Motion, Forces, and Newton s Laws Textbook Sections
PHYSICS 220 Lecure 02 Moion, Forces, and Newon s Laws Texbook Secions 2.2-2.4 Lecure 2 Purdue Universiy, Physics 220 1 Overview Las Lecure Unis Scienific Noaion Significan Figures Moion Displacemen: Δx
More informationQ.1 Define work and its unit?
CHP # 6 ORK AND ENERGY Q.1 Define work and is uni? A. ORK I can be define as when we applied a force on a body and he body covers a disance in he direcion of force, hen we say ha work is done. I is a scalar
More informationKinematics in two dimensions
Lecure 5 Phsics I 9.18.13 Kinemaics in wo dimensions Course websie: hp://facul.uml.edu/andri_danlo/teaching/phsicsi Lecure Capure: hp://echo36.uml.edu/danlo13/phsics1fall.hml 95.141, Fall 13, Lecure 5
More information02. MOTION. Questions and Answers
CLASS-09 02. MOTION Quesions and Answers PHYSICAL SCIENCE 1. Se moves a a consan speed in a consan direcion.. Reprase e same senence in fewer words using conceps relaed o moion. Se moves wi uniform velociy.
More informationSOLUTIONS TO CONCEPTS CHAPTER 3
SOLUTIONS TO ONEPTS HPTER 3. a) Disance ravelled = 50 + 40 + 0 = 0 m b) F = F = D = 50 0 = 30 M His displacemen is D D = F DF 30 40 50m In ED an = DE/E = 30/40 = 3/4 = an (3/4) His displacemen from his
More informationNon-uniform circular motion *
OpenSax-CNX module: m14020 1 Non-uniform circular moion * Sunil Kumar Singh This work is produced by OpenSax-CNX and licensed under he Creaive Commons Aribuion License 2.0 Wha do we mean by non-uniform
More informationDynamics. Option topic: Dynamics
Dynamics 11 syllabusref Opion opic: Dynamics eferenceence In his cha chaper 11A Differeniaion and displacemen, velociy and acceleraion 11B Inerpreing graphs 11C Algebraic links beween displacemen, velociy
More informationReview Equations. Announcements 9/8/09. Table Tennis
Announcemens 9/8/09 1. Course homepage ia: phsics.bu.edu Class web pages Phsics 105 (Colon J). (Class-wide email sen) Iclicker problem from las ime scores didn ge recorded. Clicker quizzes from lecures
More informationNEWTON S SECOND LAW OF MOTION
Course and Secion Dae Names NEWTON S SECOND LAW OF MOTION The acceleraion of an objec is defined as he rae of change of elociy. If he elociy changes by an amoun in a ime, hen he aerage acceleraion during
More informationConceptual Physics Review (Chapters 2 & 3)
Concepual Physics Review (Chapers 2 & 3) Soluions Sample Calculaions 1. My friend and I decide o race down a sraigh srech of road. We boh ge in our cars and sar from res. I hold he seering wheel seady,
More informationPhysics 221 Fall 2008 Homework #2 Solutions Ch. 2 Due Tues, Sept 9, 2008
Physics 221 Fall 28 Homework #2 Soluions Ch. 2 Due Tues, Sep 9, 28 2.1 A paricle moving along he x-axis moves direcly from posiion x =. m a ime =. s o posiion x = 1. m by ime = 1. s, and hen moves direcly
More informationPhysics 180A Fall 2008 Test points. Provide the best answer to the following questions and problems. Watch your sig figs.
Physics 180A Fall 2008 Tes 1-120 poins Name Provide he bes answer o he following quesions and problems. Wach your sig figs. 1) The number of meaningful digis in a number is called he number of. When numbers
More informationtotal distance cov ered time int erval v = average speed (m/s)
Physics Suy Noes Lesson 4 Linear Moion 1 Change an Moion a. A propery common o eeryhing in he unierse is change. b. Change is so imporan ha he funamenal concep of ime woul be meaningless wihou i. c. Since
More information9702/1/O/N/02. are set up a vertical distance h apart. M 1 M 2. , it is found that the ball takes time t 1. to reach M 2 ) 2
PhysicsndMahsTuor.com 7 car is ravelling wih uniform acceleraion along a sraigh road. The road has marker poss every 1 m. When he car passes one pos, i has a speed of 1 m s 1 and, when i passes he nex
More informations in boxe wers ans Put
Pu answers in boxes Main Ideas in Class Toda Inroducion o Falling Appl Old Equaions Graphing Free Fall Sole Free Fall Problems Pracice:.45,.47,.53,.59,.61,.63,.69, Muliple Choice.1 Freel Falling Objecs
More informationA man pushes a 500 kg block along the x axis by a constant force. Find the power required to maintain a speed of 5.00 m/s.
Coordinaor: Dr. F. hiari Wednesday, July 16, 2014 Page: 1 Q1. The uniform solid block in Figure 1 has mass 0.172 kg and edge lenghs a = 3.5 cm, b = 8.4 cm, and c = 1.4 cm. Calculae is roaional ineria abou
More informationWelcome Back to Physics 215!
Welcome Back o Physics 215! (General Physics I) Thurs. Jan 19 h, 2017 Lecure01-2 1 Las ime: Syllabus Unis and dimensional analysis Today: Displacemen, velociy, acceleraion graphs Nex ime: More acceleraion
More informationSection A: Forces and Motion
I is very useful o be able o make predicions abou he way moving objecs behave. In his chaper you will learn abou some equaions of moion ha can be used o calculae he speed and acceleraion of objecs, and
More informationPHYSICS 149: Lecture 9
PHYSICS 149: Lecure 9 Chaper 3 3.2 Velociy and Acceleraion 3.3 Newon s Second Law of Moion 3.4 Applying Newon s Second Law 3.5 Relaive Velociy Lecure 9 Purdue Universiy, Physics 149 1 Velociy (m/s) The
More informationBrock University Physics 1P21/1P91 Fall 2013 Dr. D Agostino. Solutions for Tutorial 3: Chapter 2, Motion in One Dimension
Brock Uniersiy Physics 1P21/1P91 Fall 2013 Dr. D Agosino Soluions for Tuorial 3: Chaper 2, Moion in One Dimension The goals of his uorial are: undersand posiion-ime graphs, elociy-ime graphs, and heir
More informationToday: Graphing. Note: I hope this joke will be funnier (or at least make you roll your eyes and say ugh ) after class. v (miles per hour ) Time
+v Today: Graphing v (miles per hour ) 9 8 7 6 5 4 - - Time Noe: I hope his joke will be funnier (or a leas make you roll your eyes and say ugh ) afer class. Do yourself a favor! Prof Sarah s fail-safe
More information3.6 Derivatives as Rates of Change
3.6 Derivaives as Raes of Change Problem 1 John is walking along a sraigh pah. His posiion a he ime >0 is given by s = f(). He sars a =0from his house (f(0) = 0) and he graph of f is given below. (a) Describe
More informationPhysics for Scientists and Engineers I
Physics for Scieniss and Engineers I PHY 48, Secion 4 Dr. Beariz Roldán Cuenya Universiy of Cenral Florida, Physics Deparmen, Orlando, FL Chaper - Inroducion I. General II. Inernaional Sysem of Unis III.
More informationx(m) t(sec ) Homework #2. Ph 231 Introductory Physics, Sp-03 Page 1 of 4
Homework #2. Ph 231 Inroducory Physics, Sp-03 Page 1 of 4 2-1A. A person walks 2 miles Eas (E) in 40 minues and hen back 1 mile Wes (W) in 20 minues. Wha are her average speed and average velociy (in ha
More informationLAB # 2 - Equilibrium (static)
AB # - Equilibrium (saic) Inroducion Isaac Newon's conribuion o physics was o recognize ha despie he seeming compleiy of he Unierse, he moion of is pars is guided by surprisingly simple aws. Newon's inspiraion
More information1.6. Slopes of Tangents and Instantaneous Rate of Change
1.6 Slopes of Tangens and Insananeous Rae of Change When you hi or kick a ball, he heigh, h, in meres, of he ball can be modelled by he equaion h() 4.9 2 v c. In his equaion, is he ime, in seconds; c represens
More information(c) Several sets of data points can be used to calculate the velocity. One example is: distance speed = time 4.0 m = 1.0 s speed = 4.
Inquiry an Communicaion 8. (a) ensiy eermine by Group A is he mos reasonable. (b) When roune off o wo significan igis, Group B has he same alue as Group A. Howeer, saing an experimenal measuremen o six
More information15. Vector Valued Functions
1. Vecor Valued Funcions Up o his poin, we have presened vecors wih consan componens, for example, 1, and,,4. However, we can allow he componens of a vecor o be funcions of a common variable. For example,
More informationChapter 2. Motion along a straight line
Chaper Moion along a sraigh line Kinemaics & Dynamics Kinemaics: Descripion of Moion wihou regard o is cause. Dynamics: Sudy of principles ha relae moion o is cause. Basic physical ariables in kinemaics
More informationLab #2: Kinematics in 1-Dimension
Reading Assignmen: Chaper 2, Secions 2-1 hrough 2-8 Lab #2: Kinemaics in 1-Dimension Inroducion: The sudy of moion is broken ino wo main areas of sudy kinemaics and dynamics. Kinemaics is he descripion
More informationSPH3U: Projectiles. Recorder: Manager: Speaker:
SPH3U: Projeciles Now i s ime o use our new skills o analyze he moion of a golf ball ha was ossed hrough he air. Le s find ou wha is special abou he moion of a projecile. Recorder: Manager: Speaker: 0
More informationThe study of the motion of a body along a general curve. û N the unit vector normal to the curve. Clearly, these unit vectors change with time, uˆ
Secion. Curilinear Moion he sudy of he moion of a body along a general cure. We define û he uni ecor a he body, angenial o he cure û he uni ecor normal o he cure Clearly, hese uni ecors change wih ime,
More informationMain Ideas in Class Today
Main Ideas in Class Toda Inroducion o Falling Appl Consan a Equaions Graphing Free Fall Sole Free Fall Problems Pracice:.45,.47,.53,.59,.61,.63,.69, Muliple Choice.1 Freel Falling Objecs Refers o objecs
More informationUniversity Physics with Modern Physics 14th Edition Young TEST BANK
Universi Phsics wih Modern Phsics 14h Ediion Young SOLUTIONS MANUAL Full clear download (no formaing errors) a: hps://esbankreal.com/download/universi-phsics-modern-phsics- 14h-ediion-oung-soluions-manual-/
More informationPosition, Velocity, and Acceleration
rev 06/2017 Posiion, Velociy, and Acceleraion Equipmen Qy Equipmen Par Number 1 Dynamic Track ME-9493 1 Car ME-9454 1 Fan Accessory ME-9491 1 Moion Sensor II CI-6742A 1 Track Barrier Purpose The purpose
More information1. Kinematics I: Position and Velocity
1. Kinemaics I: Posiion and Velociy Inroducion The purpose of his eperimen is o undersand and describe moion. We describe he moion of an objec by specifying is posiion, velociy, and acceleraion. In his
More informationa 10.0 (m/s 2 ) 5.0 Name: Date: 1. The graph below describes the motion of a fly that starts out going right V(m/s)
Name: Dae: Kinemaics Review (Honors. Physics) Complee he following on a separae shee of paper o be urned in on he day of he es. ALL WORK MUST BE SHOWN TO RECEIVE CREDIT. 1. The graph below describes he
More informationAP Calculus BC Chapter 10 Part 1 AP Exam Problems
AP Calculus BC Chaper Par AP Eam Problems All problems are NO CALCULATOR unless oherwise indicaed Parameric Curves and Derivaives In he y plane, he graph of he parameric equaions = 5 + and y= for, is a
More informationA B C D September 25 Exam I Physics 105. Circle the letter of the single best answer. Each question is worth 1 point
2012 Sepember 25 Eam I Physics 105 Circle he leer of he single bes answer. Each uesion is worh 1 poin Physical Consans: Earh s free-fall acceleraion = g = 9.80 m/s 2 3. (Mark wo leers!) The below graph
More informationToday: Falling. v, a
Today: Falling. v, a Did you ge my es email? If no, make sure i s no in your junk box, and add sbs0016@mix.wvu.edu o your address book! Also please email me o le me know. I will be emailing ou pracice
More informationSPH3U1 Lesson 03 Kinematics
SPH3U1 Lesson 03 Kinemaics GRAPHICAL ANALYSIS LEARNING GOALS Sudens will Learn how o read values, find slopes and calculae areas on graphs. Learn wha hese values mean on boh posiion-ime and velociy-ime
More informationMechanics Acceleration The Kinematics Equations
Mechanics Acceleraion The Kinemaics Equaions Lana Sheridan De Anza College Sep 27, 2018 Las ime kinemaic quaniies graphs of kinemaic quaniies Overview acceleraion he kinemaics equaions (consan acceleraion)
More informationMEI Mechanics 1 General motion. Section 1: Using calculus
Soluions o Exercise MEI Mechanics General moion Secion : Using calculus. s 4 v a 6 4 4 When =, v 4 a 6 4 6. (i) When = 0, s = -, so he iniial displacemen = - m. s v 4 When = 0, v = so he iniial velociy
More informationTwo Dimensional Dynamics
Physics 11: Lecure 6 Two Dimensional Dynamics Today s lecure will coer Chaper 4 Saring Wed Sep 15, W-F oice hours will be in 3 Loomis. Exam I M oice hours will coninue in 36 Loomis Physics 11: Lecure 6,
More informationd = ½(v o + v f) t distance = ½ (initial velocity + final velocity) time
BULLSEYE Lab Name: ANSWER KEY Dae: Pre-AP Physics Lab Projecile Moion Weigh = 1 DIRECTIONS: Follow he insrucions below, build he ramp, ake your measuremens, and use your measuremens o make he calculaions
More informationAP Physics 1 - Summer Assignment
AP Physics 1 - Summer Assignmen This assignmen is due on he firs day of school. You mus show all your work in all seps. Do no wai unil he las minue o sar his assignmen. This maerial will help you wih he
More informationBest test practice: Take the past test on the class website
Bes es pracice: Take he pas es on he class websie hp://communiy.wvu.edu/~miholcomb/phys11.hml I have posed he key o he WebAssign pracice es. Newon Previous Tes is Online. Forma will be idenical. You migh
More information!!"#"$%&#'()!"#&'(*%)+,&',-)./0)1-*23)
"#"$%&#'()"#&'(*%)+,&',-)./)1-*) #$%&'()*+,&',-.%,/)*+,-&1*#$)()5*6$+$%*,7&*-'-&1*(,-&*6&,7.$%$+*&%'(*8$&',-,%'-&1*(,-&*6&,79*(&,%: ;..,*&1$&$.$%&'()*1$$.,'&',-9*(&,%)?%*,('&5
More informationPhysics Unit Workbook Two Dimensional Kinematics
Name: Per: L o s A l o s H i g h S c h o o l Phsics Uni Workbook Two Dimensional Kinemaics Mr. Randall 1968 - Presen adam.randall@mla.ne www.laphsics.com a o 1 a o o ) ( o o a o o ) ( 1 1 a o g o 1 g o
More informationI. OBJECTIVE OF THE EXPERIMENT.
I. OBJECTIVE OF THE EXPERIMENT. Swissmero raels a high speeds hrough a unnel a low pressure. I will hereore undergo ricion ha can be due o: ) Viscosiy o gas (c. "Viscosiy o gas" eperimen) ) The air in
More informationPracticing Problem Solving and Graphing
Pracicing Problem Solving and Graphing Tes 1: Jan 30, 7pm, Ming Hsieh G20 The Bes Ways To Pracice for Tes Bes If need more, ry suggesed problems from each new opic: Suden Response Examples A pas opic ha
More informationApplications of the Basic Equations Chapter 3. Paul A. Ullrich
Applicaions of he Basic Equaions Chaper 3 Paul A. Ullrich paullrich@ucdavis.edu Par 1: Naural Coordinaes Naural Coordinaes Quesion: Why do we need anoher coordinae sysem? Our goal is o simplify he equaions
More informationKinematics Motion in 1 Dimension and Graphs
Kinemaics Moion in 1 Dimension and Graphs Lana Sheridan De Anza College Sep 27, 2017 Las ime moion in 1-dimension some kinemaic quaniies graphs Overview velociy and speed acceleraion more graphs Kinemaics
More informationx i v x t a dx dt t x
Physics 3A: Basic Physics I Shoup - Miderm Useful Equaions A y A sin A A A y an A y A A = A i + A y j + A z k A * B = A B cos(θ) A B = A B sin(θ) A * B = A B + A y B y + A z B z A B = (A y B z A z B y
More informationChapter 1 Rotational dynamics 1.1 Angular acceleration
Chaper Roaional dynamics. Angular acceleraion Learning objecives: Wha do we mean by angular acceleraion? How can we calculae he angular acceleraion of a roaing objec when i speeds up or slows down? How
More informationand v y . The changes occur, respectively, because of the acceleration components a x and a y
Week 3 Reciaion: Chaper3 : Problems: 1, 16, 9, 37, 41, 71. 1. A spacecraf is raveling wih a veloci of v0 = 5480 m/s along he + direcion. Two engines are urned on for a ime of 84 s. One engine gives he
More informationChapters 6 & 7: Trigonometric Functions of Angles and Real Numbers. Divide both Sides by 180
Algebra Chapers & : Trigonomeric Funcions of Angles and Real Numbers Chapers & : Trigonomeric Funcions of Angles and Real Numbers - Angle Measures Radians: - a uni (rad o measure he size of an angle. rad
More informationPHYS 100: Lecture 2. Motion at Constant Acceleration. Relative Motion: Reference Frames. x x = v t + a t. x = vdt. v = adt. x Tortoise.
a PHYS 100: Lecure 2 Moion a Consan Acceleraion a 0 0 Area a 0 a 0 v ad v v0 a0 v 0 x vd 0 A(1/2)( v) Area v 0 v v-v 0 v 0 x x v + a 1 0 0 2 0 2 Relaive Moion: Reference Frames x d Achilles Toroise x Toroise
More informationMOMENTUM CONSERVATION LAW
1 AAST/AEDT AP PHYSICS B: Impulse and Momenum Le us run an experimen: The ball is moving wih a velociy of V o and a force of F is applied on i for he ime inerval of. As he resul he ball s velociy changes
More informationTwo Dimensional Dynamics
Physics 11: Lecure 6 Two Dimensional Dynamics Today s lecure will coer Chaper 4 Exam I Physics 11: Lecure 6, Pg 1 Brie Reiew Thus Far Newon s Laws o moion: SF=ma Kinemaics: x = x + + ½ a Dynamics Today
More informationOf all of the intellectual hurdles which the human mind has confronted and has overcome in the last fifteen hundred years, the one which seems to me
Of all of he inellecual hurdles which he human mind has confroned and has overcome in he las fifeen hundred years, he one which seems o me o have been he mos amazing in characer and he mos supendous in
More informationAP Physics 1 - Summer Assignment
AP Physics 1 - Summer Assignmen This assignmen is due on he firs day of school. You mus show all your work in all seps. Do no wai unil he las minue o sar his assignmen. This maerial will help you wih he
More informationSome Basic Information about M-S-D Systems
Some Basic Informaion abou M-S-D Sysems 1 Inroducion We wan o give some summary of he facs concerning unforced (homogeneous) and forced (non-homogeneous) models for linear oscillaors governed by second-order,
More information