PROBLEMS ON RECTILINEAR MOTION

Size: px
Start display at page:

Download "PROBLEMS ON RECTILINEAR MOTION"

Transcription

1 PROBLEMS ON RECTILINEAR MOTION

2 PROBLEM 1. The elociy of a paricle which oe along he -ai i gien by 5 (/). Ealuae he diplaceen elociy and acceleraion a when = 4. The paricle i a he origin = when =. (/) /

3 SOLUTION 5 / (/) calculae and acceleraion a when = 4. The paricle i a he origin = when =. 5 d d / 5 5 f ( ) dd 5/ d 5/ 5 4 / d / f ( ) / d d a 4 a 15 / a 5 1/ 7.5 1/

4 PROBLEM. The elociy of a paricle which oe along he -ai i gien by 4 / where i in econd. Calculae he diplaceen D of he paricle during he ineral fro = o = 4. (/6)

5 SOLUTION 4 d 4 diplaceen D fro = o = d D 4 d d d d 4(4) ()

6 PROBLEM. A ball i hrown erically upward wih an iniial peed of 5 / fro he bae A of a 15- cliff. Deerine he diance h by which he ball clear he op of he cliff and he ie afer releae for he ball o land a B. Alo calculae he ipac elociy B. Neglec air reiance and he all horizonal oion of he ball. (/1)

7 SOLUTION =5 / deerine diance h ie afer releae for he ball o land a B and ipac elociy B C A - C g ( y y) h h a ( 5 ) a g (9.81) (15h) h A - B 1 1 y y g 155 (9.81) y g B 59.81(4.4) / ( )

8 PROBLEM 4. In he pinewood-derby een hown he car i releaed fro re a he aring poiion A and hen roll down he incline and ono he finih line C. If he conan acceleraion down he incline i.75 / and he peed fro B o C i eenially conan deerine he ie duraion AC for he race. The effec of he all raniion area a B can be negleced. (/14)

9 ie duraion AC for he race a a C B d d ad d a a c a B A BC AB oal BC BC BC BC BC B B BC C B BC B B B AB AB AB AB AB AB AB AB A A AB A AB B / (.75)() (.75) /.75 SOLUTION

10 PROBLEM 5. A paricle ar fro re a = - and oe along he -ai wih he elociy hiory hown. Plo he correponding acceleraion and he diplaceen hiorie for he econd. Find he ie when he paricle croe he origin. (/9)

11 SOLUTION ie when he paricle croe he origin.5 1 a 1 (6)(.5) fro oal a /

12 PROBLEM 6. Car A i raelling a a conan peed A = 1 k/h a a locaion where he peed lii i 1 k/h. The police officer in car P obere hi peed ia radar. A he oen when A pae P he police car begin o accelerae a he conan rae of 6 / unil a peed of 16 k/h i reached and ha peed i hen ainained. Deerine he diance required for he police officer o oerake car A. Neglec any nonrecilinear oion of P. (/)

13 A = 1 k/h (conan) a he oen when A pae P P begin o accelerae a conan rae of 6 / unil a peed of 16 k/h i reached hen ainained deerine diance required for P o oerake A. 1k / h6.11 / 16k/ h44.44 / For A A o For P P o a o a 6(7.47) hen ap P o ( 7.47) ( 7.47) When P cache A A = P ( 7.47) () P =f() 71.4 A =f() (/) a (/ ) A a A P a P () () ()

14 PROBLEM 7. A rearding force i applied o a body oing in a raigh line o ha during an ineral of i oion i peed decreae wih increaed poiion coordinae according o he relaion k / where k i a conan. If he body ha a forward peed of 5 / and i poiion coordinae i 5 a ie = deerine he peed a =. (/)

15 Due o a rearding force peed decreae wih increaed poiion coordinae according o k / d d and k a (k conan). If = 5 / (frw) = 5 a = deerine a = k/ 5 / 1/ d k / 1/ k/ 5 k k 565 d / 1/ 1/ 1/ d k d f ( ) 75/ 9.69 / 1/ d / 75/ 1/ / 5 d / 1/1/ k / / 1/ 1/ 5 1/ d d

16 PROBLEM 8. The cone falling wih a peed rike and penerae he block of packing aerial. The acceleraion of he cone afer ipac i a = g cy where c i a poiie conan and y i he peneraion diance. If he aiu peneraion deph i obered o be y deerine he conan c. (/45)

17 ? ) ( a c y y y f cy g a final iniial SOLUTION 6 1 y y gy c gy cy gy cy cy gy dy cy g d ady d

18 PROBLEM 9. The brake echani hown in he figure i copoed of a pion oing in a fied cylinder filled wih oil. When he brake pedal i preed while he ehicle oe wih a peed he pion oe oil pae hrough he channel inide he pion and he ehicle low down in proporion o i peed a=-k. Deerine a) in er of b) in er of c) in er of. Alo conruc he relaed graphic. pion oil

19 iniial peed a=-k. Deerine a) in er of b) in er of pion c) in er of. Alo conruc he relaed graphic a) =f()=? a d d e d ln o k e f ( ) k d k e d d ln o k k d kd oil b) =f()=? d d d k f ( ) e 1e k k d d d e k k e k d e k k e d k 1 k e a d e a a

20 iniial peed a=-k. Deerine a) in er of b) in er of c) in er of. Alo conruc he relaed graphic pion c) =f()=? dad d kd k f ( ) dkd dkd k dk d oil k

21 PROBLEM 1. A buper coniing of a ne of hree pring i ued o arre he horizonal oion of a large a which i raeling a 4 / a i conac he buper. The wo ouer pring caue a deceleraion proporional o he pring deforaion. The cener pring increae he deceleraion rae when he copreion eceed.5 a hown on he graph. Deerine he aiu copreion of he ouer pring. (/55)

22 SOLUTION d ad =4 / aiu copreion of he ouer pring 4 d ad area under a cure z.5.5 z.5.5 z

23 SOLUTION 1 =4 / aiu copreion of he ouer pring d ad ( d 1 1(.5) ) ad.5 area z (.5)(.5) 1( 1( under.5) 1 a cure.5)

24 PROBLEM 11. The preliinary deign for a rapid-rani ye call for he rain elociy o ary wih ie a hown in he plo a he rain run he. k beween aion A and B. The lope of he cubic raniion cure (which are of for a+b+c +d ) are zero a he end poin. Deerine he oal run ie beween he aion and he aiu acceleraion. (/58) 1

25 SOLUTION lope of a+b+c +d for cure zero a end poin deerine oal run ie beween he aion and he aiu acceleraion f ( ) a b c d iniial and final condiion gie he conan a a d d a b c d ( a 15 ) b hen c d c(15) d(15) c 675d 1 c 675d c.5d

26 SOLUTION (.14 ) (.481) ) ( ) ( /.481 / ).5 5( (15) (15) / 6.11 / 1 d d f a f c d d d d d c d c d c h k d d d f d d ) ( he diance he rain rael in he fir and la 15 econd 1

27 SOLUTION when he peed i conan he rain rael 1 a oal run ie (71)=658 oal (15) Maiu acceleraion a da d a f ( ) (.64 ) 7.5 a 7.5 da d.96(7.5).64 (7.5).61 /

PHYSICS 151 Notes for Online Lecture #4

PHYSICS 151 Notes for Online Lecture #4 PHYSICS 5 Noe for Online Lecure #4 Acceleraion The ga pedal in a car i alo called an acceleraor becaue preing i allow you o change your elociy. Acceleraion i how fa he elociy change. So if you ar fro re

More information

Energy Problems 9/3/2009. W F d mgh m s 196J 200J. Understanding. Understanding. Understanding. W F d. sin 30

Energy Problems 9/3/2009. W F d mgh m s 196J 200J. Understanding. Understanding. Understanding. W F d. sin 30 9/3/009 nderanding Energy Proble Copare he work done on an objec o a.0 kg a) In liing an objec 0.0 b) Puhing i up a rap inclined a 30 0 o he ae inal heigh 30 0 puhing 0.0 liing nderanding Copare he work

More information

EF 151 Exam #1, Spring, 2009 Page 1 of 6

EF 151 Exam #1, Spring, 2009 Page 1 of 6 EF 5 Exam #, Spring, 009 Page of 6 Name: Guideline: Aume 3 ignifican figure for all given number unle oherwie aed Show all of your work no work, no credi Wrie your final anwer in he box provided Include

More information

1. The graph below shows the variation with time t of the acceleration a of an object from t = 0 to t = T. a

1. 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 information

One-Dimensional Kinematics

One-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 information

Equations of motion for constant acceleration

Equations 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 information

Linear Motion, Speed & Velocity

Linear Motion, Speed & Velocity Add Iporan Linear Moion, Speed & Velociy Page: 136 Linear Moion, Speed & Velociy NGSS Sandard: N/A MA Curriculu Fraework (2006): 1.1, 1.2 AP Phyic 1 Learning Objecive: 3.A.1.1, 3.A.1.3 Knowledge/Underanding

More information

EF 151 Exam #2 - Spring, 2014 Page 1 of 6

EF 151 Exam #2 - Spring, 2014 Page 1 of 6 EF 5 Exam # - Spring, 04 Page of 6 Name: Secion: Inrucion: Pu your name and ecion on he exam. Do no open he e unil you are old o do o. Wrie your final anwer in he box proided If you finih wih le han 5

More information

Elastic and Inelastic Collisions

Elastic and Inelastic Collisions laic and Inelaic Colliion In an LASTIC colliion, energy i conered (Kbefore = Kafer or Ki = Kf. In an INLASTIC colliion, energy i NOT conered. (Ki > Kf. aple: A kg block which i liding a 0 / acro a fricionle

More information

IB Physics Kinematics Worksheet

IB 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 information

NEWTON S SECOND LAW OF MOTION

NEWTON 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 information

TP B.2 Rolling resistance, spin resistance, and "ball turn"

TP B.2 Rolling resistance, spin resistance, and ball turn echnical proof TP B. olling reiance, pin reiance, and "ball urn" upporing: The Illuraed Principle of Pool and Billiard hp://billiard.coloae.edu by Daid G. Alciaore, PhD, PE ("Dr. Dae") echnical proof originally

More information

Unit 1 Test Review Physics Basics, Movement, and Vectors Chapters 1-3

Unit 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 information

SOLUTIONS TO CONCEPTS CHAPTER 3

SOLUTIONS 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 information

Phys 221 Fall Chapter 2. Motion in One Dimension. 2014, 2005 A. Dzyubenko Brooks/Cole

Phys 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 information

v 1 =4 m/s v 2 =0 m 1 =0.5kg m 2 Momentum F (N) t (s) v 0y v x

v 1 =4 m/s v 2 =0 m 1 =0.5kg m 2 Momentum F (N) t (s) v 0y v x Moenu Do our work on a earae hee of aer or noebook. or each roble, draw clearl labeled diagra howing he ae and elociie for each objec before and afer he colliion. Don forge abou direcion oenu, eloci and

More information

x(m) t(sec ) Homework #2. Ph 231 Introductory Physics, Sp-03 Page 1 of 4

x(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 information

13.1 Accelerating Objects

13.1 Accelerating Objects 13.1 Acceleraing Objec A you learned in Chaper 12, when you are ravelling a a conan peed in a raigh line, you have uniform moion. However, mo objec do no ravel a conan peed in a raigh line o hey do no

More information

Introduction. If there are no physical guides, the motion is said to be unconstrained. Example 2. - Airplane, rocket

Introduction. If there are no physical guides, the motion is said to be unconstrained. Example 2. - Airplane, rocket Kinemaic f Paricle Chaper Inrducin Kinemaic: i he branch f dynamic which decribe he min f bdie wihu reference he frce ha eiher caue he min r are generaed a a reul f he min. Kinemaic i fen referred a he

More information

2.1: What is physics? Ch02: Motion along a straight line. 2.2: Motion. 2.3: Position, Displacement, Distance

2.1: 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 information

RECTILINEAR MOTION. Contents. Theory Exercise Exercise Exercise Exercise Answer Key

RECTILINEAR 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 information

Motion along a Straight Line

Motion 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 information

Rectilinear Kinematics

Rectilinear Kinematics Recilinear Kinemaic Coninuou Moion Sir Iaac Newon Leonard Euler Oeriew Kinemaic Coninuou Moion Erraic Moion Michael Schumacher. 7-ime Formula 1 World Champion Kinemaic The objecie of kinemaic i o characerize

More information

Angular Motion, Speed and Velocity

Angular Motion, Speed and Velocity Add Imporan Angular Moion, Speed and Velociy Page: 163 Noe/Cue Here Angular Moion, Speed and Velociy NGSS Sandard: N/A MA Curriculum Framework (006): 1.1, 1. AP Phyic 1 Learning Objecive: 3.A.1.1, 3.A.1.3

More information

Course II. Lesson 7 Applications to Physics. 7A Velocity and Acceleration of a Particle

Course 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 information

Motion In One Dimension. Graphing Constant Speed

Motion In One Dimension. Graphing Constant Speed Moion In One Dimenion PLATO AND ARISTOTLE GALILEO GALILEI LEANING TOWER OF PISA Graphing Conan Speed Diance v. Time for Toy Car (0-5 ec.) be-fi line (from TI calculaor) d = 207.7 12.6 Diance (cm) 1000

More information

Displacement ( x) x x x

Displacement ( 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 information

Physics 20 Lesson 5 Graphical Analysis Acceleration

Physics 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 information

A 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.

A 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 information

Physics Notes - Ch. 2 Motion in One Dimension

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 information

Chapter 8 Torque and Angular Momentum

Chapter 8 Torque and Angular Momentum Chaper 8 Torque and Angular Moenu Reiew of Chaper 5 We had a able coparing paraeer fro linear and roaional oion. Today we fill in he able. Here i i Decripion Linear Roaional poiion diplaceen Rae of change

More information

How to Solve System Dynamic s Problems

How to Solve System Dynamic s Problems How o Solve Sye Dynaic Proble A ye dynaic proble involve wo or ore bodie (objec) under he influence of everal exernal force. The objec ay uliaely re, ove wih conan velociy, conan acceleraion or oe cobinaion

More information

Integration of the equation of motion with respect to time rather than displacement leads to the equations of impulse and momentum.

Integration of the equation of motion with respect to time rather than displacement leads to the equations of impulse and momentum. Inegraion of he equaion of moion wih respec o ime raher han displacemen leads o he equaions of impulse and momenum. These equaions greal faciliae he soluion of man problems in which he applied forces ac

More information

x y θ = 31.8 = 48.0 N. a 3.00 m/s

x y θ = 31.8 = 48.0 N. a 3.00 m/s 4.5.IDENTIY: Vecor addiion. SET UP: Use a coordinae sse where he dog A. The forces are skeched in igure 4.5. EXECUTE: + -ais is in he direcion of, A he force applied b =+ 70 N, = 0 A B B A = cos60.0 =

More information

MEI Mechanics 1 General motion. Section 1: Using calculus

MEI 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 information

Chapter 9: Oscillations

Chapter 9: Oscillations Chaper 9: Ocillaion Now if hi elecron i diplaced fro i equilibriu poiion, a force ha i direcly proporional o he diplaceen reore i like a pendulu o i poiion of re. Pieer Zeean Objecive 1. Decribe he condiion

More information

1. The 200-kg lunar lander is descending onto the moon s surface with a velocity of 6 m/s when its retro-engine is fired. If the engine produces a

1. The 200-kg lunar lander is descending onto the moon s surface with a velocity of 6 m/s when its retro-engine is fired. If the engine produces a PROBLEMS. The -kg lunar lander is descending ono he moon s surface wih a eloci of 6 m/s when is rero-engine is fired. If he engine produces a hrus T for 4 s which aries wih he ime as shown and hen cus

More information

Chapter 3 Kinematics in Two Dimensions

Chapter 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 information

TP A.14 The effects of cut angle, speed, and spin on object ball throw

TP A.14 The effects of cut angle, speed, and spin on object ball throw echnical proof echnical proof TP A.14 The effecs of cu angle, speed, and spin on objec ball hrow supporing: The Illusraed Principles of Pool and illiards hp://billiards.colosae.edu by Daid G. Alciaore,

More information

0 time. 2 Which graph represents the motion of a car that is travelling along a straight road with a uniformly increasing speed?

0 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 information

CHAPTER THREE MOTION IN A STRAIGHT LINE

CHAPTER THREE MOTION IN A STRAIGHT LINE PHYSICS Moion In ne Dimenion j k CHPTER THREE MTIN IN STRIGHT LINE. INTRDUCTIN Moion n objec i aid o be in moion, if i poiion chane wih repec o ime. Thi i relaed o he oberer. If i poiion i no chanin, he

More information

Physics 101: Lecture 03 Kinematics Today s lecture will cover Textbook Sections (and some Ch. 4)

Physics 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 information

Physics for Scientists and Engineers. Chapter 2 Kinematics in One Dimension

Physics 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 information

Of 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 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 information

Physics 240: Worksheet 16 Name

Physics 240: Worksheet 16 Name Phyic 4: Workhee 16 Nae Non-unifor circular oion Each of hee proble involve non-unifor circular oion wih a conan α. (1) Obain each of he equaion of oion for non-unifor circular oion under a conan acceleraion,

More information

Ground Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. A/Prof Tay Seng Chuan

Ground 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 information

Q2.4 Average velocity equals instantaneous velocity when the speed is constant and motion is in a straight line.

Q2.4 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 information

Introduction to Mechanical Vibrations and Structural Dynamics

Introduction to Mechanical Vibrations and Structural Dynamics Inroducion o Mechanical Viraions and Srucural Dynaics The one seeser schedule :. Viraion - classificaion. ree undaped single DO iraion, equaion of oion, soluion, inegraional consans, iniial condiions..

More information

Brock University Physics 1P21/1P91 Fall 2013 Dr. D Agostino. Solutions for Tutorial 3: Chapter 2, Motion in One Dimension

Brock 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 information

KINEMATICS IN ONE DIMENSION

KINEMATICS 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 information

PHYSICS 220 Lecture 02 Motion, Forces, and Newton s Laws Textbook Sections

PHYSICS 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 information

MECHANICAL PROPERTIES OF FLUIDS NCERT

MECHANICAL PROPERTIES OF FLUIDS NCERT Chaper Ten MECHANICAL PROPERTIES OF FLUIDS MCQ I 10.1 A all cylinder is filled wih iscous oil. A round pebble is dropped from he op wih zero iniial elociy. From he plo shown in Fig. 10.1, indicae he one

More information

Chapter 12: Velocity, acceleration, and forces

Chapter 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 information

Solution: b All the terms must have the dimension of acceleration. We see that, indeed, each term has the units of acceleration

Solution: 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 information

9702/1/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

9702/1/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 information

We may write the basic equation of motion for the particle, as

We may write the basic equation of motion for the particle, as We ma wrie he basic equaion of moion for he paricle, as or F m dg F F linear impulse G dg G G G G change in linear F momenum dg The produc of force and ime is defined as he linear impulse of he force,

More information

Discussion Session 2 Constant Acceleration/Relative Motion Week 03

Discussion Session 2 Constant Acceleration/Relative Motion Week 03 PHYS 100 Dicuion Seion Conan Acceleraion/Relaive Moion Week 03 The Plan Today you will work wih your group explore he idea of reference frame (i.e. relaive moion) and moion wih conan acceleraion. You ll

More information

Chapter 2. Motion along a straight line

Chapter 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 information

AP Calculus BC Chapter 10 Part 1 AP Exam Problems

AP 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 information

Kinematics. introduction to kinematics 15A

Kinematics. 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 information

d = ½(v o + v f) t distance = ½ (initial velocity + final velocity) time

d = 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 information

Position, Velocity, and Acceleration

Position, 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 information

and v y . The changes occur, respectively, because of the acceleration components a x and a y

and 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 information

Let us consider equation (6.16) once again. We have, can be found by the following equation

Let us consider equation (6.16) once again. We have, can be found by the following equation 41 Le us consider equaion (6.16) once again. We hae, dp d Therefore, d p d Here dp is he change in oenu caused by he force in he ie ineral d. Change in oenu caused by he force for a ie ineral 1, can be

More information

INSTANTANEOUS VELOCITY

INSTANTANEOUS 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 information

Page 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 information

s in boxe wers ans Put

s 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 information

t = x v = 18.4m 44.4m/s =0.414 s.

t = x v = 18.4m 44.4m/s =0.414 s. 1 Assuming he horizonal velociy of he ball is consan, he horizonal displacemen is x = v where x is he horizonal disance raveled, is he ime, and v is he (horizonal) velociy Convering v o meers per second,

More information

2. 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.

2. 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 information

Topic 1: Linear motion and forces

Topic 1: Linear motion and forces 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

More information

when t = 2 s. Sketch the path for the first 2 seconds of motion and show the velocity and acceleration vectors for t = 2 s.(2/63)

when t = 2 s. Sketch the path for the first 2 seconds of motion and show the velocity and acceleration vectors for t = 2 s.(2/63) . The -coordine of pricle in curiliner oion i gien b where i in eer nd i in econd. The -coponen of ccelerion in eer per econd ured i gien b =. If he pricle h -coponen = nd when = find he gniude of he eloci

More information

MODEL PAPER 2 PHYSICS. I PUC Time: 3 hours Max Marks: 70

MODEL PAPER 2 PHYSICS. I PUC Time: 3 hours Max Marks: 70 MODEL PAPE PHYSICS I PUC Time: hour Ma Mark: 7 General Inrucion: i) All par are compulory. ii) Anwer wihou relean diagram / figure/ circui whereer neceary will no carry any mark. iii) Direc anwer o he

More information

1. VELOCITY AND ACCELERATION

1. 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 information

Two Dimensional Dynamics

Two 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 information

y z P 3 P T P1 P 2. Werner Purgathofer. b a

y z P 3 P T P1 P 2. Werner Purgathofer. b a Einführung in Viual Compuing Einführung in Viual Compuing 86.822 in co T P 3 P co in T P P 2 co in Geomeric Tranformaion Geomeric Tranformaion W P h f Werner Purgahofer b a Tranformaion in he Rendering

More information

Two Dimensional Dynamics

Two 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 information

Physics 221 Fall 2008 Homework #2 Solutions Ch. 2 Due Tues, Sept 9, 2008

Physics 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 information

Kinematics Vocabulary. Kinematics and One Dimensional Motion. Position. Coordinate System in One Dimension. Kinema means movement 8.

Kinematics 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 information

dp dt For the time interval t, approximately, we can write,

dp dt For the time interval t, approximately, we can write, PHYSICS OCUS 58 So far we hae deal only wih syses in which he oal ass of he syse, sys, reained consan wih ie. Now, we will consider syses in which ass eners or leaes he syse while we are obsering i. The

More information

Chapter 2: One-Dimensional Kinematics

Chapter 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 information

Velocity is a relative quantity

Velocity is a relative quantity Veloci is a relaie quani Disenangling Coordinaes PHY2053, Fall 2013, Lecure 6 Newon s Laws 2 PHY2053, Fall 2013, Lecure 6 Newon s Laws 3 R. Field 9/6/2012 Uniersi of Florida PHY 2053 Page 8 Reference Frames

More information

Lecture 23 Damped Motion

Lecture 23 Damped Motion Differenial Equaions (MTH40) Lecure Daped Moion In he previous lecure, we discussed he free haronic oion ha assues no rearding forces acing on he oving ass. However No rearding forces acing on he oving

More information

Q.1 Define work and its unit?

Q.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 information

Exam #2 PHYSICS 211 Monday July 6 th, 2009 Please write down your name also on the back page of this exam

Exam #2 PHYSICS 211 Monday July 6 th, 2009 Please write down your name also on the back page of this exam Exa #2 PHYSICS 211 Monday July 6 h, 29 NME Please wrie down your nae also on he back pae of his exa 1. The fiure ives how he force varies as a funcion of he posiion. Such force is acin on a paricle, which

More information

Main Ideas in Class Today

Main 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 information

!!"#"$%&#'()!"#&'(*%)+,&',-)./0)1-*23)

!!#$%&#'()!#&'(*%)+,&',-)./0)1-*23) "#"$%&#'()"#&'(*%)+,&',-)./)1-*) #$%&'()*+,&',-.%,/)*+,-&1*#$)()5*6$+$%*,7&*-'-&1*(,-&*6&,7.$%$+*&%'(*8$&',-,%'-&1*(,-&*6&,79*(&,%: ;..,*&1$&$.$%&'()*1$$.,'&',-9*(&,%)?%*,('&5

More information

Physics 5A Review 1. Eric Reichwein Department of Physics University of California, Santa Cruz. October 31, 2012

Physics 5A Review 1. Eric Reichwein Department of Physics University of California, Santa Cruz. October 31, 2012 Physics 5A Review 1 Eric Reichwein Deparmen of Physics Universiy of California, Sana Cruz Ocober 31, 2012 Conens 1 Error, Sig Figs, and Dimensional Analysis 1 2 Vecor Review 2 2.1 Adding/Subracing Vecors.............................

More information

2002 November 14 Exam III Physics 191

2002 November 14 Exam III Physics 191 November 4 Exam III Physics 9 Physical onsans: Earh s free-fall acceleraion = g = 9.8 m/s ircle he leer of he single bes answer. quesion is worh poin Each 3. Four differen objecs wih masses: m = kg, m

More information

Parametrics and Vectors (BC Only)

Parametrics and Vectors (BC Only) Paramerics and Vecors (BC Only) The following relaionships should be learned and memorized. The paricle s posiion vecor is r() x(), y(). The velociy vecor is v(),. The speed is he magniude of he velociy

More information

Lecture 2-1 Kinematics in One Dimension Displacement, Velocity and Acceleration Everything in the world is moving. Nothing stays still.

Lecture 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 information

Physics Unit Workbook Two Dimensional Kinematics

Physics 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 information

Objectives. To develop the principle of linear impulse and momentum for a particle. To study the conservation of linear momentum for

Objectives. To develop the principle of linear impulse and momentum for a particle. To study the conservation of linear momentum for Impulse & Momenum Objecies To deelop he principle of linear impulse and momenum for a paricle. To sudy he conseraion of linear momenum for paricles. To analyze he mechanics of impac. To inroduce he concep

More information

Welcome Back to Physics 215!

Welcome 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 information

CHAPTER 2. Answer to Checkpoint Questions

CHAPTER 2. Answer to Checkpoint Questions CHAPTER MOTION ALONG A STRAIGHT LINE CHAPTER Answer o Checkpoin Quesions. (b) and (c). zero 3. (a) () and (4); (b) () and (3); (c) (3) 4. (a) plus; (b) minus; (c) minus; (d) plus 5. () and (4) 6. (a) plus;

More information

SKAA 1213 Engineering Mechanics

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

More information

Questions 1 and 2 refer to the graph below. The graph is a displacement-time graph for a runner. Displacement / m. Time / s

Questions 1 and 2 refer to the graph below. The graph is a displacement-time graph for a runner. Displacement / m. Time / s Quesions 1 and 2 refer o he graph below. The graph is a displacemen-ime graph for a runner. 80 isplacemen / m 60 40 0 0 4 6 8 / s 1 The velociy of he runner a 5 s is approximaely 8 m s 9 m s C 40 m s 2

More information

Introduction to Numerical Analysis. In this lesson you will be taken through a pair of techniques that will be used to solve the equations of.

Introduction to Numerical Analysis. In this lesson you will be taken through a pair of techniques that will be used to solve the equations of. Inroducion o Nuerical Analysis oion In his lesson you will be aen hrough a pair of echniques ha will be used o solve he equaions of and v dx d a F d for siuaions in which F is well nown, and he iniial

More information

Physics 2107 Moments of Inertia Experiment 1

Physics 2107 Moments of Inertia Experiment 1 Physics 107 Momens o Ineria Experimen 1 Prelab 1 Read he ollowing background/seup and ensure you are amiliar wih he heory required or he experimen. Please also ill in he missing equaions 5, 7 and 9. Background/Seup

More information

A B C D September 25 Exam I Physics 105. Circle the letter of the single best answer. Each question is worth 1 point

A 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 information