Movie Review Part One due Tuesday (in class) please print

Size: px
Start display at page:

Download "Movie Review Part One due Tuesday (in class) please print"

Transcription

1 Movie Review Pat One due Tuesday (in class) please pint Test in class on Fiday. You may stat at 8:30 if you want. (The topic of powe is not on test.) Chaptes 4-6

2 Main Ideas in Class Today Afte class, you should be able to: Undestand and calculate linea momentum and impulse Detemine the aveage/maximum foces and pessue acting on an object Exta Pactice Poblems: 5.1, 5.7, 5.9, 5.11, 5.13, 5.15, 5.17, 9.3, Conceptual 9.1

3 Chapte 6: Linea Momentum How we deal with collisions Ball and bat, cas, etc. p = mv Linea momentum (p) of an object is mass times velocity Linea momentum is a vecto Diection of linea momentum is the same as the velocity of the object Units: kg m/s

4 Example Review A pitche claims he can thow a kg baseball with as much momentum as a 3.00 g bullet moving with a speed of 1500 m/s! What must the baseball s speed be if the pitche s claim is valid? Which has geate kinetic enegy? A. the ball B. the bullet C. they ae the same Q63

5 Newton s Second Law Goal: Wite Newton s Second Law in tems of momentum. F net = ma = m v t F net = = m( v v t p t o ) = F net = mv mv t p = o mv ma This is the geneal fom of Newton s 2nd Law and applies even if mass changes, like in a ocket buning fuel (end of this chapte). Rockets not on test.

6 Impulse If a constant (o aveage) foce F acts on an object, the impulse I deliveed to the object ove a time t is: I p = F t = ( ) t avg t = p = mv f mv i units = kgm / Notes: 1. A foce must act on an object fo impulse to occu. 2. The time is the collision time (just befoe touching to afte) 3. In a collision, an impulse occus in the diection of the foce acting on the object [when I walk into the wall?] s

7 Spideman s Gwen Stacy (Example movie eview) Gwen who weighs 50 kg falls 300 feet and is then bought to est by Spideman s webbing in 0.5 s. What is the impulse and foce on Gwen? Ignoe ai esistance. What does Spideman do to stop this in the futue?

8 A 0.40 kg ball is initially moving to the left at 30 m/s. Afte hitting the wall, the ball is moving to the ight at 20 m/s. What is the impulse of the net foce on the ball duing its collision with the wall? A. 20 kg m/s to the ight B. 20 kg m/s to the left C. 4.0 kg m/s to the ight D. 4.0 kg m/s to the left E. none of the above Q64

9 A 100-g lump of clay hits a wall at 70 cm/s and sticks. A 100-g ubbe ball hits the same wall at 60 cm/s and ebounds with a speed of 30 cm/s. Which object expeiences the lage impulse deliveed by the wall duing the collision? A. The clay B. The ball C. Both impulses ae the same. D. Cannot be detemined. Q65

10 Main Ideas in Class Today You should be able to: Undestand and calculate linea momentum and impulse Detemine the aveage/maximum foces and pessue acting on an object

11 Impulse = Foce * contact time What if that foce isn t constant? Can you think of an example?

12 Hitting a Baseball A 150 g baseball is thown at a speed of 20 m/s. It is hit staight back to the pitche at a speed of 40 m/s. (Contact time is 0.006s) What is the maximum foce F max and the aveage foce F av that the bat exets on the ball?

13 Hitting a Baseball: Conside just befoe and just afte ball touches bat We don t have to conside gavity because it acts in the y diection. p = I x = (aea unde foce cuve) = F (6 ms) = F (.003 s) 1 2 x max max p = mv mv = m( v v ) x fx ix fx ix = = (0.15 kg)(40 m/s + 20 m/s) 9.0 kg m/s Aea of tiangle = ½ base * height p (9.0 kg m/s) F av = x = = 1,500 N t (.006 s) Theefoe, F = (9.0 kg m/s) /(.003 s) = 3,000 N max

14 If you eceive a big impulse, will you necessaily beak a bone? (Section 9.2)

15 Pessue (mainly fo liquids and gases) o Stess (fo solids) tells you ove what aea the foce is spead. Pessue o Stess = Foce / Aea Damage depends moe on pessue than foce! (may be useful fo movie assignments, moe Ch. 9)

16 Man on a Chai A man sits on a fou-legged chai with his feet off the floo. The combined mass of the man and chai is 95 kg. If the chai legs ae cicula and have a adius of 0.50 cm at the bottom, what pessue does each leg exet on the floo? What could you do to educe pessue and chance of scatching?

17 Ca Ties The fou ties of an automobile ae inflated to a gauge pessue of 2.0 x 10 5 Pa. Each tie has an aea of m 2 in contact with the gound. Detemine the weight of the automobile m 2

18 Pick a patne Explain to each othe you movie poject. Minute Pape: Explain the appoach of you patne.

19 Main Ideas in Class Today You should be able to: Undestand and calculate linea momentum and impulse Detemine the aveage/maximum foces and pessue acting on an object Exta: 5.1, 5.7, 5.9, 5.11, 5.13, 5.15, 5.17

20 Anothe baseball example A baseball playe of mass 84.0 kg unning at 6.70 m/s slides into home plate and comes to a stop. What magnitude of impulse is deliveed to the playe by fiction? If the slide lasts s, what is the aveage fiction foce exeted on the playe?

21 A 75.0 kg ice skate moving at 10.0 m/s cashes into a stationay skate of equal mass. Afte the collision, the two skates move as a unit at 5.00 m/s. Suppose fo this poblem the aveage foce a skate can expeience without beaking a bone is 4500 N. If the impact time is s, does a bone beak fo eithe skate? Fo each skate: Fav = p / t Mass of each skate does not change Fav = p / t = m v / t

22 p = mv A 0.15 kg ball is thown staight up with an initial speed of 20 m/s. Find the momentum (p) of the ball halfway to its maximum height. What do you know: (V fy?) V oy, a y Find y max and divide by 2 My goal fo poblem: Show not vey diffeent fom what we ve been doing

23 Clicke Answes 1=D, 2=E, 3=D, 4=B, 5=C, 6=A, 7=C, 8=E, 9=A, 10=C, 11=B, 12=C, 13=E, 14=A, 15=B, 16=C, 17=B, 18=D, 19=A, 20=C, 21=B, 22=B (had), 23=A Ch.4A: 25=A, 26=B, 27=E, 28=C, 29=C, 30=D, 31=C, 32=D, 33=C, 34=B, 35=D Ch.4B: 36=A, 37=C, 38=B, 39=E, 40=B, 41=B, 42=C, 43=A Ch.4C: 44=B, 45=A, 46=A, 47=C, 48=C, 49=A Ch.5A: 50=C, 51=E, 52=D, 53=E, 54=D Ch.5B: 55=A, 56=D, 57=A, 58=A, 59=B, 60=B, 61=C, 62=D Ch.6A: 63=B, 64=A, 65=B

Momentum is conserved if no external force

Momentum is conserved if no external force Goals: Lectue 13 Chapte 9 v Employ consevation of momentum in 1 D & 2D v Examine foces ove time (aka Impulse) Chapte 10 v Undestand the elationship between motion and enegy Assignments: l HW5, due tomoow

More information

PHYS Summer Professor Caillault Homework Solutions. Chapter 9

PHYS Summer Professor Caillault Homework Solutions. Chapter 9 PHYS - Summe 007 - Pofesso Caillault Homewok Solutions Chapte 9 3. Pictue the Poblem The owne walks slowly towad the notheast while the cat uns eastwad and the dog uns nothwad. Stategy Sum the momenta

More information

PHYS Summer Professor Caillault Homework Solutions. Chapter 5

PHYS Summer Professor Caillault Homework Solutions. Chapter 5 PHYS 1111 - Summe 2007 - Pofesso Caillault Homewok Solutions Chapte 5 7. Pictue the Poblem: The ball is acceleated hoizontally fom est to 98 mi/h ove a distance of 1.7 m. Stategy: Use equation 2-12 to

More information

Explain to each other your movie project and the variable you are calculating. Discuss how will you know if it could occur in real life.

Explain to each other your movie project and the variable you are calculating. Discuss how will you know if it could occur in real life. Movie Review Pat One due today! (tun in now please) Pick a peson that you did NOT do the movie poposal with. Explain to each othe you movie poject and the vaiable you ae calculating. Discuss how will you

More information

Physics Fall Mechanics, Thermodynamics, Waves, Fluids. Lecture 18: System of Particles II. Slide 18-1

Physics Fall Mechanics, Thermodynamics, Waves, Fluids. Lecture 18: System of Particles II. Slide 18-1 Physics 1501 Fall 2008 Mechanics, Themodynamics, Waves, Fluids Lectue 18: System of Paticles II Slide 18-1 Recap: cente of mass The cente of mass of a composite object o system of paticles is the point

More information

Easy. r p 2 f : r p 2i. r p 1i. r p 1 f. m blood g kg. P8.2 (a) The momentum is p = mv, so v = p/m and the kinetic energy is

Easy. r p 2 f : r p 2i. r p 1i. r p 1 f. m blood g kg. P8.2 (a) The momentum is p = mv, so v = p/m and the kinetic energy is Chapte 8 Homewok Solutions Easy P8. Assume the velocity of the blood is constant ove the 0.60 s. Then the patient s body and pallet will have a constant velocity of 6 0 5 m 3.75 0 4 m/ s 0.60 s in the

More information

FZX: Personal Lecture Notes from Daniel W. Koon St. Lawrence University Physics Department CHAPTER 7

FZX: Personal Lecture Notes from Daniel W. Koon St. Lawrence University Physics Department CHAPTER 7 FZX: Pesonal Lectue Notes fom Daniel W. Koon St. Lawence Univesity Physics Depatment CHAPTER 7 Please epot any glitches, bugs o eos to the autho: dkoon at stlawu.edu. 7. Momentum and Impulse Impulse page

More information

Physics 11 Chapter 4: Forces and Newton s Laws of Motion. Problem Solving

Physics 11 Chapter 4: Forces and Newton s Laws of Motion. Problem Solving Physics 11 Chapte 4: Foces and Newton s Laws of Motion Thee is nothing eithe good o bad, but thinking makes it so. William Shakespeae It s not what happens to you that detemines how fa you will go in life;

More information

PHYS 172: Modern Mechanics. Summer Lecture 4 The Momentum Principle & Predicting Motion Read

PHYS 172: Modern Mechanics. Summer Lecture 4 The Momentum Principle & Predicting Motion Read PHYS 172: Moden Mechanics Summe 2010 Δp sys = F net Δt ΔE = W + Q sys su su ΔL sys = τ net Δt Lectue 4 The Momentum Pinciple & Pedicting Motion Read 2.6-2.9 READING QUESTION #1 Reading Question Which of

More information

C3 Interactions transfer momentum. C4 - Particles and Systems. General Physics 1

C3 Interactions transfer momentum. C4 - Particles and Systems. General Physics 1 C3 Inteactions tansfe momentum C4 - Paticles and Systems Geneal Physics 1 Solutions to HW Download PobViewe 1.4 www.physics.pomona.edu/sixideas/sicp.html Passwod fo daily HW poblems kllxjks8 Geneal Physics

More information

Physics 121 Hour Exam #5 Solution

Physics 121 Hour Exam #5 Solution Physics 2 Hou xam # Solution This exam consists of a five poblems on five pages. Point values ae given with each poblem. They add up to 99 points; you will get fee point to make a total of. In any given

More information

Physics 4A Chapter 8: Dynamics II Motion in a Plane

Physics 4A Chapter 8: Dynamics II Motion in a Plane Physics 4A Chapte 8: Dynamics II Motion in a Plane Conceptual Questions and Example Poblems fom Chapte 8 Conceptual Question 8.5 The figue below shows two balls of equal mass moving in vetical cicles.

More information

06 - ROTATIONAL MOTION Page 1 ( Answers at the end of all questions )

06 - ROTATIONAL MOTION Page 1 ( Answers at the end of all questions ) 06 - ROTATIONAL MOTION Page ) A body A of mass M while falling vetically downwads unde gavity beaks into two pats, a body B of mass ( / ) M and a body C of mass ( / ) M. The cente of mass of bodies B and

More information

Chapter 5. really hard to start the object moving and then, once it starts moving, you don t have to push as hard to keep it moving.

Chapter 5. really hard to start the object moving and then, once it starts moving, you don t have to push as hard to keep it moving. Chapte 5 Fiction When an object is in motion it is usually in contact with a viscous mateial (wate o ai) o some othe suface. So fa, we have assumed that moving objects don t inteact with thei suoundings

More information

SAMPLE QUIZ 3 - PHYSICS For a right triangle: sin θ = a c, cos θ = b c, tan θ = a b,

SAMPLE QUIZ 3 - PHYSICS For a right triangle: sin θ = a c, cos θ = b c, tan θ = a b, SAMPLE QUIZ 3 - PHYSICS 1301.1 his is a closed book, closed notes quiz. Calculatos ae pemitted. he ONLY fomulas that may be used ae those given below. Define all symbols and justify all mathematical expessions

More information

Physics 107 TUTORIAL ASSIGNMENT #8

Physics 107 TUTORIAL ASSIGNMENT #8 Physics 07 TUTORIAL ASSIGNMENT #8 Cutnell & Johnson, 7 th edition Chapte 8: Poblems 5,, 3, 39, 76 Chapte 9: Poblems 9, 0, 4, 5, 6 Chapte 8 5 Inteactive Solution 8.5 povides a model fo solving this type

More information

Sections and Chapter 10

Sections and Chapter 10 Cicula and Rotational Motion Sections 5.-5.5 and Chapte 10 Basic Definitions Unifom Cicula Motion Unifom cicula motion efes to the motion of a paticle in a cicula path at constant speed. The instantaneous

More information

EN40: Dynamics and Vibrations. Midterm Examination Thursday March

EN40: Dynamics and Vibrations. Midterm Examination Thursday March EN40: Dynamics and Vibations Midtem Examination Thusday Mach 9 2017 School of Engineeing Bown Univesity NAME: Geneal Instuctions No collaboation of any kind is pemitted on this examination. You may bing

More information

AP-C WEP. h. Students should be able to recognize and solve problems that call for application both of conservation of energy and Newton s Laws.

AP-C WEP. h. Students should be able to recognize and solve problems that call for application both of conservation of energy and Newton s Laws. AP-C WEP 1. Wok a. Calculate the wok done by a specified constant foce on an object that undegoes a specified displacement. b. Relate the wok done by a foce to the aea unde a gaph of foce as a function

More information

Circular Motion. Mr. Velazquez AP/Honors Physics

Circular Motion. Mr. Velazquez AP/Honors Physics Cicula Motion M. Velazquez AP/Honos Physics Objects in Cicula Motion Accoding to Newton s Laws, if no foce acts on an object, it will move with constant speed in a constant diection. Theefoe, if an object

More information

Spring 2001 Physics 2048 Test 3 solutions

Spring 2001 Physics 2048 Test 3 solutions Sping 001 Physics 048 Test 3 solutions Poblem 1. (Shot Answe: 15 points) a. 1 b. 3 c. 4* d. 9 e. 8 f. 9 *emembe that since KE = ½ mv, KE must be positive Poblem (Estimation Poblem: 15 points) Use momentum-impulse

More information

Ch 13 Universal Gravitation

Ch 13 Universal Gravitation Ch 13 Univesal Gavitation Ch 13 Univesal Gavitation Why do celestial objects move the way they do? Keple (1561-1630) Tycho Bahe s assistant, analyzed celestial motion mathematically Galileo (1564-1642)

More information

Δt The textbook chooses to say that the average velocity is

Δt The textbook chooses to say that the average velocity is 1-D Motion Basic I Definitions: One dimensional motion (staight line) is a special case of motion whee all but one vecto component is zeo We will aange ou coodinate axis so that the x-axis lies along the

More information

When a mass moves because of a force, we can define several types of problem.

When a mass moves because of a force, we can define several types of problem. Mechanics Lectue 4 3D Foces, gadient opeato, momentum 3D Foces When a mass moves because of a foce, we can define seveal types of poblem. ) When we know the foce F as a function of time t, F=F(t). ) When

More information

F g. = G mm. m 1. = 7.0 kg m 2. = 5.5 kg r = 0.60 m G = N m 2 kg 2 = = N

F g. = G mm. m 1. = 7.0 kg m 2. = 5.5 kg r = 0.60 m G = N m 2 kg 2 = = N Chapte answes Heinemann Physics 4e Section. Woked example: Ty youself.. GRAVITATIONAL ATTRACTION BETWEEN SMALL OBJECTS Two bowling balls ae sitting next to each othe on a shelf so that the centes of the

More information

PS113 Chapter 5 Dynamics of Uniform Circular Motion

PS113 Chapter 5 Dynamics of Uniform Circular Motion PS113 Chapte 5 Dynamics of Unifom Cicula Motion 1 Unifom cicula motion Unifom cicula motion is the motion of an object taveling at a constant (unifom) speed on a cicula path. The peiod T is the time equied

More information

Momentum and Collisions

Momentum and Collisions SOLUTIONS TO PROBLES Section 8. P8. m 3.00 kg, (a) omentum and Collisions Linea omentum and Its Consevation v ( 3.00î 4.00ĵ ) m s p mv ( 9.00î.0ĵ ) kg m s Thus, p x 9.00 kg m s and p y.0 kg m s. p p x

More information

HW Solutions # MIT - Prof. Please study example 12.5 "from the earth to the moon". 2GmA v esc

HW Solutions # MIT - Prof. Please study example 12.5 from the earth to the moon. 2GmA v esc HW Solutions # 11-8.01 MIT - Pof. Kowalski Univesal Gavity. 1) 12.23 Escaping Fom Asteoid Please study example 12.5 "fom the eath to the moon". a) The escape velocity deived in the example (fom enegy consevation)

More information

= 4 3 π( m) 3 (5480 kg m 3 ) = kg.

= 4 3 π( m) 3 (5480 kg m 3 ) = kg. CHAPTER 11 THE GRAVITATIONAL FIELD Newton s Law of Gavitation m 1 m A foce of attaction occus between two masses given by Newton s Law of Gavitation Inetial mass and gavitational mass Gavitational potential

More information

- 5 - TEST 1R. This is the repeat version of TEST 1, which was held during Session.

- 5 - TEST 1R. This is the repeat version of TEST 1, which was held during Session. - 5 - TEST 1R This is the epeat vesion of TEST 1, which was held duing Session. This epeat test should be attempted by those students who missed Test 1, o who wish to impove thei mak in Test 1. IF YOU

More information

b) (5) What average force magnitude was applied by the students working together?

b) (5) What average force magnitude was applied by the students working together? Geneal Physics I Exam 3 - Chs. 7,8,9 - Momentum, Rotation, Equilibium Nov. 3, 2010 Name Rec. Inst. Rec. Time Fo full cedit, make you wok clea to the gade. Show fomulas used, essential steps, and esults

More information

Chapter 4: The laws of motion. Newton s first law

Chapter 4: The laws of motion. Newton s first law Chapte 4: The laws of motion gavitational Electic magnetic Newton s fist law If the net foce exeted on an object is zeo, the object continues in its oiginal state of motion: - an object at est, emains

More information

Lab #4: Newton s Second Law

Lab #4: Newton s Second Law Lab #4: Newton s Second Law Si Isaac Newton Reading Assignment: bon: Januay 4, 1643 Chapte 5 died: Mach 31, 1727 Chapte 9, Section 9-7 Intoduction: Potait of Isaac Newton by Si Godfey Knelle http://www.newton.cam.ac.uk/at/potait.html

More information

Chapter 8. Accelerated Circular Motion

Chapter 8. Accelerated Circular Motion Chapte 8 Acceleated Cicula Motion 8.1 Rotational Motion and Angula Displacement A new unit, adians, is eally useful fo angles. Radian measue θ(adians) = s = θ s (ac length) (adius) (s in same units as

More information

DYNAMICS OF UNIFORM CIRCULAR MOTION

DYNAMICS OF UNIFORM CIRCULAR MOTION Chapte 5 Dynamics of Unifom Cicula Motion Chapte 5 DYNAMICS OF UNIFOM CICULA MOTION PEVIEW An object which is moing in a cicula path with a constant speed is said to be in unifom cicula motion. Fo an object

More information

Physics 211: Newton s Second Law

Physics 211: Newton s Second Law Physics 211: Newton s Second Law Reading Assignment: Chapte 5, Sections 5-9 Chapte 6, Section 2-3 Si Isaac Newton Bon: Januay 4, 1643 Died: Mach 31, 1727 Intoduction: Kinematics is the study of how objects

More information

c) (6) Assuming the tires do not skid, what coefficient of static friction between tires and pavement is needed?

c) (6) Assuming the tires do not skid, what coefficient of static friction between tires and pavement is needed? Geneal Physics I Exam 2 - Chs. 4,5,6 - Foces, Cicula Motion, Enegy Oct. 10, 2012 Name Rec. Inst. Rec. Time Fo full cedit, make you wok clea to the gade. Show fomulas used, essential steps, and esults with

More information

PROJECTILE MOTION. At any given point in the motion, the velocity vector is always a tangent to the path.

PROJECTILE MOTION. At any given point in the motion, the velocity vector is always a tangent to the path. PROJECTILE MOTION A pojectile is any object that has been thown though the ai. A foce must necessaily set the object in motion initially but, while it is moing though the ai, no foce othe than gaity acts

More information

A car of mass m, traveling at constant speed, rides over the top of a circularly shaped hill as shown.

A car of mass m, traveling at constant speed, rides over the top of a circularly shaped hill as shown. A ca of mass m, taveling at constant speed, ides ove the top of a ciculaly shaped hill as shown. The magnitude of the nomal foce N of the oad on the ca is. A) Geate than the weight of the ca, N > mg. B)

More information

Teachers notes. Beyond the Thrills excursions. Worksheets in this book. Completing the worksheets

Teachers notes. Beyond the Thrills excursions. Worksheets in this book. Completing the worksheets Beyond the Thills excusions Teaches notes Physics is the science of how the wold (and Univese) woks. Luna Pak Sydney is a lage hands-on physics laboatoy full of fee falling objects, otating systems and

More information

Between any two masses, there exists a mutual attractive force.

Between any two masses, there exists a mutual attractive force. YEAR 12 PHYSICS: GRAVITATION PAST EXAM QUESTIONS Name: QUESTION 1 (1995 EXAM) (a) State Newton s Univesal Law of Gavitation in wods Between any two masses, thee exists a mutual attactive foce. This foce

More information

PHYS 1410, 11 Nov 2015, 12:30pm.

PHYS 1410, 11 Nov 2015, 12:30pm. PHYS 40, Nov 205, 2:30pm. A B = AB cos φ x = x 0 + v x0 t + a 2 xt 2 a ad = v2 2 m(v2 2 v) 2 θ = θ 0 + ω 0 t + 2 αt2 L = p fs µ s n 0 + αt K = 2 Iω2 cm = m +m 2 2 +... m +m 2 +... p = m v and L = I ω ω

More information

Numerical Integration

Numerical Integration MCEN 473/573 Chapte 0 Numeical Integation Fall, 2006 Textbook, 0.4 and 0.5 Isopaametic Fomula Numeical Integation [] e [ ] T k = h B [ D][ B] e B Jdsdt In pactice, the element stiffness is calculated numeically.

More information

Physics 201 Homework 4

Physics 201 Homework 4 Physics 201 Homewok 4 Jan 30, 2013 1. Thee is a cleve kitchen gadget fo dying lettuce leaves afte you wash them. 19 m/s 2 It consists of a cylindical containe mounted so that it can be otated about its

More information

Recap. Centripetal acceleration: v r. a = m/s 2 (towards center of curvature)

Recap. Centripetal acceleration: v r. a = m/s 2 (towards center of curvature) a = c v 2 Recap Centipetal acceleation: m/s 2 (towads cente of cuvatue) A centipetal foce F c is equied to keep a body in cicula motion: This foce poduces centipetal acceleation that continuously changes

More information

3.2 Centripetal Acceleration

3.2 Centripetal Acceleration unifom cicula motion the motion of an object with onstant speed along a cicula path of constant adius 3.2 Centipetal Acceleation The hamme thow is a tack-and-field event in which an athlete thows a hamme

More information

Chapter 7-8 Rotational Motion

Chapter 7-8 Rotational Motion Chapte 7-8 Rotational Motion What is a Rigid Body? Rotational Kinematics Angula Velocity ω and Acceleation α Unifom Rotational Motion: Kinematics Unifom Cicula Motion: Kinematics and Dynamics The Toque,

More information

Multiple choice questions [100 points] As shown in the figure, a mass M is hanging by three massless strings from the ceiling of a room.

Multiple choice questions [100 points] As shown in the figure, a mass M is hanging by three massless strings from the ceiling of a room. Multiple choice questions [00 points] Answe all of the following questions. Read each question caefully. Fill the coect ule on you scanton sheet. Each coect answe is woth 4 points. Each question has exactly

More information

Phys 201A. Homework 6 Solutions. F A and F r. B. According to Newton s second law, ( ) ( )2. j = ( 6.0 m / s 2 )ˆ i ( 10.4m / s 2 )ˆ j.

Phys 201A. Homework 6 Solutions. F A and F r. B. According to Newton s second law, ( ) ( )2. j = ( 6.0 m / s 2 )ˆ i ( 10.4m / s 2 )ˆ j. 7. We denote the two foces F A + F B = ma,sof B = ma F A. (a) In unit vecto notation F A = ( 20.0 N)ˆ i and Theefoe, Phys 201A Homewok 6 Solutions F A and F B. Accoding to Newton s second law, a = [ (

More information

Chapter 5. Applying Newton s Laws. Newton s Laws. r r. 1 st Law: An object at rest or traveling in uniform. 2 nd Law:

Chapter 5. Applying Newton s Laws. Newton s Laws. r r. 1 st Law: An object at rest or traveling in uniform. 2 nd Law: Chapte 5 Applying Newton s Laws Newton s Laws st Law: An object at est o taveling in unifom motion will emain at est o taveling in unifom motion unless and until an extenal foce is applied net ma nd Law:

More information

Conflict Exam Issue. Sorry, Can t do it. Please see Kevin Pitts if you have any additional questions or concerns about this. Office is 231 Loomis

Conflict Exam Issue. Sorry, Can t do it. Please see Kevin Pitts if you have any additional questions or concerns about this. Office is 231 Loomis Conflict Exam Issue. Soy, Can t do it I was told that: Students can only be excused fom the scheduled final fo illness, death in the family o eligious holiday. No exceptions. Please see Kevin Pitts if

More information

MODULE 5 ADVANCED MECHANICS GRAVITATIONAL FIELD: MOTION OF PLANETS AND SATELLITES VISUAL PHYSICS ONLINE

MODULE 5 ADVANCED MECHANICS GRAVITATIONAL FIELD: MOTION OF PLANETS AND SATELLITES VISUAL PHYSICS ONLINE VISUAL PHYSICS ONLINE MODULE 5 ADVANCED MECHANICS GRAVITATIONAL FIELD: MOTION OF PLANETS AND SATELLITES SATELLITES: Obital motion of object of mass m about a massive object of mass M (m

More information

PHYS Summer Professor Caillault Homework Solutions

PHYS Summer Professor Caillault Homework Solutions PHYS 1111 - Summe 007 - Pofesso Caillault Homewok Solutions Chapte 4 3. Pictue the Poblem: The ca moves up the 5.5 incline with constant acceleation, changing both its hoizontal and vetical displacement

More information

Chapter 5: Uniform Circular Motion

Chapter 5: Uniform Circular Motion Chapte 5: Unifom Cicula Motion Motion at constant speed in a cicle Centipetal acceleation Banked cuves Obital motion Weightlessness, atificial gavity Vetical cicula motion Centipetal Foce Acceleation towad

More information

Uniform Circular Motion

Uniform Circular Motion Unifom Cicula Motion constant speed Pick a point in the objects motion... What diection is the velocity? HINT Think about what diection the object would tavel if the sting wee cut Unifom Cicula Motion

More information

Experiment 09: Angular momentum

Experiment 09: Angular momentum Expeiment 09: Angula momentum Goals Investigate consevation of angula momentum and kinetic enegy in otational collisions. Measue and calculate moments of inetia. Measue and calculate non-consevative wok

More information

PHYS 1114, Lecture 21, March 6 Contents:

PHYS 1114, Lecture 21, March 6 Contents: PHYS 1114, Lectue 21, Mach 6 Contents: 1 This class is o cially cancelled, being eplaced by the common exam Tuesday, Mach 7, 5:30 PM. A eview and Q&A session is scheduled instead duing class time. 2 Exam

More information

1. A stone falls from a platform 18 m high. When will it hit the ground? (a) 1.74 s (b) 1.83 s (c) 1.92 s (d) 2.01 s

1. A stone falls from a platform 18 m high. When will it hit the ground? (a) 1.74 s (b) 1.83 s (c) 1.92 s (d) 2.01 s 1. A stone falls fom a platfom 18 m high. When will it hit the gound? (a) 1.74 s (b) 1.83 s (c) 1.9 s (d).01 s Constant acceleation D = v 0 t + ½ a t. Which, if any, of these foces causes the otation of

More information

1121 T Question 1

1121 T Question 1 1121 T1 2008 Question 1 ( aks) You ae cycling, on a long staight path, at a constant speed of 6.0.s 1. Anothe cyclist passes you, tavelling on the sae path in the sae diection as you, at a constant speed

More information

20-9 ELECTRIC FIELD LINES 20-9 ELECTRIC POTENTIAL. Answers to the Conceptual Questions. Chapter 20 Electricity 241

20-9 ELECTRIC FIELD LINES 20-9 ELECTRIC POTENTIAL. Answers to the Conceptual Questions. Chapter 20 Electricity 241 Chapte 0 Electicity 41 0-9 ELECTRIC IELD LINES Goals Illustate the concept of electic field lines. Content The electic field can be symbolized by lines of foce thoughout space. The electic field is stonge

More information

. Using our polar coordinate conversions, we could write a

. Using our polar coordinate conversions, we could write a 504 Chapte 8 Section 8.4.5 Dot Poduct Now that we can add, sutact, and scale vectos, you might e wondeing whethe we can multiply vectos. It tuns out thee ae two diffeent ways to multiply vectos, one which

More information

Physics 207 Lecture 5. Lecture 5

Physics 207 Lecture 5. Lecture 5 Lectue 5 Goals: Addess sstems with multiple acceleations in 2- dimensions (including linea, pojectile and cicula motion) Discen diffeent efeence fames and undestand how the elate to paticle motion in stationa

More information

Physics 1114: Unit 5 Hand-out Homework (Answers)

Physics 1114: Unit 5 Hand-out Homework (Answers) Physics 1114: Unit 5 Hand-out Homewok (Answes) Poblem set 1 1. The flywheel on an expeimental bus is otating at 420 RPM (evolutions pe minute). To find (a) the angula velocity in ad/s (adians/second),

More information

Rotational Motion. Every quantity that we have studied with translational motion has a rotational counterpart

Rotational Motion. Every quantity that we have studied with translational motion has a rotational counterpart Rotational Motion & Angula Momentum Rotational Motion Evey quantity that we have studied with tanslational motion has a otational countepat TRANSLATIONAL ROTATIONAL Displacement x Angula Position Velocity

More information

Circular Motion & Torque Test Review. The period is the amount of time it takes for an object to travel around a circular path once.

Circular Motion & Torque Test Review. The period is the amount of time it takes for an object to travel around a circular path once. Honos Physics Fall, 2016 Cicula Motion & Toque Test Review Name: M. Leonad Instuctions: Complete the following woksheet. SHOW ALL OF YOUR WORK ON A SEPARATE SHEET OF PAPER. 1. Detemine whethe each statement

More information

Circular Orbits. and g =

Circular Orbits. and g = using analyse planetay and satellite motion modelled as unifom cicula motion in a univesal gavitation field, a = v = 4π and g = T GM1 GM and F = 1M SATELLITES IN OBIT A satellite is any object that is

More information

Name. Date. Period. Engage Examine the pictures on the left. 1. What is going on in these pictures?

Name. Date. Period. Engage Examine the pictures on the left. 1. What is going on in these pictures? AP Physics 1 Lesson 9.a Unifom Cicula Motion Outcomes 1. Define unifom cicula motion. 2. Detemine the tangential velocity of an object moving with unifom cicula motion. 3. Detemine the centipetal acceleation

More information

Centripetal Force OBJECTIVE INTRODUCTION APPARATUS THEORY

Centripetal Force OBJECTIVE INTRODUCTION APPARATUS THEORY Centipetal Foce OBJECTIVE To veify that a mass moving in cicula motion expeiences a foce diected towad the cente of its cicula path. To detemine how the mass, velocity, and adius affect a paticle's centipetal

More information

PHYSICS 1210 Exam 2 University of Wyoming 14 March ( Day!) points

PHYSICS 1210 Exam 2 University of Wyoming 14 March ( Day!) points PHYSICS 1210 Exam 2 Univesity of Wyoming 14 Mach ( Day!) 2013 150 points This test is open-note and closed-book. Calculatos ae pemitted but computes ae not. No collaboation, consultation, o communication

More information

AP Physics Electric Potential Energy

AP Physics Electric Potential Energy AP Physics lectic Potential negy Review of some vital peviously coveed mateial. The impotance of the ealie concepts will be made clea as we poceed. Wok takes place when a foce acts ove a distance. W F

More information

Practice. Understanding Concepts. Answers J 2. (a) J (b) 2% m/s. Gravitation and Celestial Mechanics 287

Practice. Understanding Concepts. Answers J 2. (a) J (b) 2% m/s. Gravitation and Celestial Mechanics 287 Pactice Undestanding Concepts 1. Detemine the gavitational potential enegy of the Eath Moon system, given that the aveage distance between thei centes is 3.84 10 5 km, and the mass of the Moon is 0.0123

More information

b) (5) What is the magnitude of the force on the 6.0-kg block due to the contact with the 12.0-kg block?

b) (5) What is the magnitude of the force on the 6.0-kg block due to the contact with the 12.0-kg block? Geneal Physics I Exam 2 - Chs. 4,5,6 - Foces, Cicula Motion, Enegy Oct. 13, 2010 Name Rec. Inst. Rec. Time Fo full cedit, make you wok clea to the gade. Show fomulas used, essential steps, and esults with

More information

Lab #9: The Kinematics & Dynamics of. Circular Motion & Rotational Motion

Lab #9: The Kinematics & Dynamics of. Circular Motion & Rotational Motion Reading Assignment: Lab #9: The Kinematics & Dynamics of Cicula Motion & Rotational Motion Chapte 6 Section 4 Chapte 11 Section 1 though Section 5 Intoduction: When discussing motion, it is impotant to

More information

21 MAGNETIC FORCES AND MAGNETIC FIELDS

21 MAGNETIC FORCES AND MAGNETIC FIELDS CHAPTER 1 MAGNETIC ORCES AND MAGNETIC IELDS ANSWERS TO OCUS ON CONCEPTS QUESTIONS 1. (d) Right-Hand Rule No. 1 gives the diection of the magnetic foce as x fo both dawings A and. In dawing C, the velocity

More information

Understanding the Concepts

Understanding the Concepts Chistian Bache Phsics Depatment Bn Maw College Undestanding the Concepts PHYSICS 101-10 Homewok Assignment #5 - Solutions 5.7. A cclist making a tun must make use of a centipetal foce, one that is pependicula

More information

to point uphill and to be equal to its maximum value, in which case f s, max = μsfn

to point uphill and to be equal to its maximum value, in which case f s, max = μsfn Chapte 6 16. (a) In this situation, we take f s to point uphill and to be equal to its maximum value, in which case f s, max = μsf applies, whee μ s = 0.5. pplying ewton s second law to the block of mass

More information

Flux. Area Vector. Flux of Electric Field. Gauss s Law

Flux. Area Vector. Flux of Electric Field. Gauss s Law Gauss s Law Flux Flux in Physics is used to two distinct ways. The fist meaning is the ate of flow, such as the amount of wate flowing in a ive, i.e. volume pe unit aea pe unit time. O, fo light, it is

More information

Uniform Circular Motion

Uniform Circular Motion Unifom Cicula Motion Have you eve idden on the amusement pak ide shown below? As it spins you feel as though you ae being pessed tightly against the wall. The ide then begins to tilt but you emain glued

More information

Dynamics of Rotational Motion

Dynamics of Rotational Motion Dynamics of Rotational Motion Toque: the otational analogue of foce Toque = foce x moment am τ = l moment am = pependicula distance though which the foce acts a.k.a. leve am l l l l τ = l = sin φ = tan

More information

ω = θ θ o = θ θ = s r v = rω

ω = θ θ o = θ θ = s r v = rω Unifom Cicula Motion Unifom cicula motion is the motion of an object taveling at a constant(unifom) speed in a cicula path. Fist we must define the angula displacement and angula velocity The angula displacement

More information

OSCILLATIONS AND GRAVITATION

OSCILLATIONS AND GRAVITATION 1. SIMPLE HARMONIC MOTION Simple hamonic motion is any motion that is equivalent to a single component of unifom cicula motion. In this situation the velocity is always geatest in the middle of the motion,

More information

Midterm Exam #2, Part A

Midterm Exam #2, Part A Physics 151 Mach 17, 2006 Midtem Exam #2, Pat A Roste No.: Scoe: Exam time limit: 50 minutes. You may use calculatos and both sides of ONE sheet of notes, handwitten only. Closed book; no collaboation.

More information

Physics C Rotational Motion Name: ANSWER KEY_ AP Review Packet

Physics C Rotational Motion Name: ANSWER KEY_ AP Review Packet Linea and angula analogs Linea Rotation x position x displacement v velocity a T tangential acceleation Vectos in otational motion Use the ight hand ule to detemine diection of the vecto! Don t foget centipetal

More information

Chapters 5-8. Dynamics: Applying Newton s Laws

Chapters 5-8. Dynamics: Applying Newton s Laws Chaptes 5-8 Dynamics: Applying Newton s Laws Systems of Inteacting Objects The Fee Body Diagam Technique Examples: Masses Inteacting ia Nomal Foces Masses Inteacting ia Tensions in Ropes. Ideal Pulleys

More information

Chapter 13 Gravitation

Chapter 13 Gravitation Chapte 13 Gavitation In this chapte we will exploe the following topics: -Newton s law of gavitation, which descibes the attactive foce between two point masses and its application to extended objects

More information

Physics 1A (a) Fall 2010: FINAL Version A 1. Comments:

Physics 1A (a) Fall 2010: FINAL Version A 1. Comments: Physics A (a) Fall 00: FINAL Vesion A Name o Initials: Couse 3-digit Code Comments: Closed book. No wok needs to be shown fo multiple-choice questions.. A helicopte is taveling at 60 m/s at a constant

More information

Impulse and Momentum

Impulse and Momentum Impule and Momentum 1. A ca poee 20,000 unit of momentum. What would be the ca' new momentum if... A. it elocity wee doubled. B. it elocity wee tipled. C. it ma wee doubled (by adding moe paenge and a

More information

Extra notes for circular motion: Circular motion : v keeps changing, maybe both speed and

Extra notes for circular motion: Circular motion : v keeps changing, maybe both speed and Exta notes fo cicula motion: Cicula motion : v keeps changing, maybe both speed and diection ae changing. At least v diection is changing. Hence a 0. Acceleation NEEDED to stay on cicula obit: a cp v /,

More information

Gravitation. Chapter 12. PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman. Lectures by James Pazun

Gravitation. Chapter 12. PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman. Lectures by James Pazun Chapte 12 Gavitation PowePoint Lectues fo Univesity Physics, Twelfth Edition Hugh D. Young and Roge A. Feedman Lectues by James Pazun Modified by P. Lam 5_31_2012 Goals fo Chapte 12 To study Newton s Law

More information

SPH4U Unit 6.3 Gravitational Potential Energy Page 1 of 9

SPH4U Unit 6.3 Gravitational Potential Energy Page 1 of 9 SPH4 nit 6.3 Gavitational Potential negy Page of Notes Physics ool box he gavitational potential enegy of a syste of two (spheical) asses is diectly popotional to the poduct of thei asses, and invesely

More information

Substances that are liquids or solids under ordinary conditions may also exist as gases. These are often referred to as vapors.

Substances that are liquids or solids under ordinary conditions may also exist as gases. These are often referred to as vapors. Chapte 0. Gases Chaacteistics of Gases All substances have thee phases: solid, liquid, and gas. Substances that ae liquids o solids unde odinay conditions may also exist as gases. These ae often efeed

More information

Escape Velocity. GMm ] B

Escape Velocity. GMm ] B 1 PHY2048 Mach 31, 2006 Escape Velocity Newton s law of gavity: F G = Gm 1m 2 2, whee G = 667 10 11 N m 2 /kg 2 2 3 10 10 N m 2 /kg 2 is Newton s Gavitational Constant Useful facts: R E = 6 10 6 m M E

More information

Section 26 The Laws of Rotational Motion

Section 26 The Laws of Rotational Motion Physics 24A Class Notes Section 26 The Laws of otational Motion What do objects do and why do they do it? They otate and we have established the quantities needed to descibe this motion. We now need to

More information

Motion in Two Dimensions

Motion in Two Dimensions SOLUTIONS TO PROBLEMS Motion in Two Dimensions Section 3.1 The Position, Velocity, and Acceleation Vectos P3.1 x( m) 0!3 000!1 70!4 70 m y( m)!3 600 0 1 70! 330 m (a) Net displacement x + y 4.87 km at

More information

Physics 11 Chapter 3: Vectors and Motion in Two Dimensions. Problem Solving

Physics 11 Chapter 3: Vectors and Motion in Two Dimensions. Problem Solving Physics 11 Chapte 3: Vectos and Motion in Two Dimensions The only thing in life that is achieved without effot is failue. Souce unknown "We ae what we epeatedly do. Excellence, theefoe, is not an act,

More information

Centripetal Force. Lecture 11. Chapter 8. Course website:

Centripetal Force. Lecture 11. Chapter 8. Course website: Lectue 11 Chapte 8 Centipetal Foce Couse website: http://faculty.uml.edu/andiy_danylov/teaching/physicsi PHYS.1410 Lectue 11 Danylov Depatment of Physics and Applied Physics Today we ae going to discuss:

More information

Rotational Motion: Statics and Dynamics

Rotational Motion: Statics and Dynamics Physics 07 Lectue 17 Goals: Lectue 17 Chapte 1 Define cente of mass Analyze olling motion Intoduce and analyze toque Undestand the equilibium dynamics of an extended object in esponse to foces Employ consevation

More information

Homework 7 Solutions

Homework 7 Solutions Homewok 7 olutions Phys 4 Octobe 3, 208. Let s talk about a space monkey. As the space monkey is oiginally obiting in a cicula obit and is massive, its tajectoy satisfies m mon 2 G m mon + L 2 2m mon 2

More information

To Feel a Force Chapter 7 Static equilibrium - torque and friction

To Feel a Force Chapter 7 Static equilibrium - torque and friction To eel a oce Chapte 7 Chapte 7: Static fiction, toque and static equilibium A. Review of foce vectos Between the eath and a small mass, gavitational foces of equal magnitude and opposite diection act on

More information

Chapter 4. Newton s Laws of Motion. Newton s Law of Motion. Sir Isaac Newton ( ) published in 1687

Chapter 4. Newton s Laws of Motion. Newton s Law of Motion. Sir Isaac Newton ( ) published in 1687 Chapte 4 Newton s Laws of Motion 1 Newton s Law of Motion Si Isaac Newton (1642 1727) published in 1687 2 1 Kinematics vs. Dynamics So fa, we discussed kinematics (chaptes 2 and 3) The discussion, was

More information