Answers to selected problems from Essential Physics, Chapter 3

Size: px
Start display at page:

Download "Answers to selected problems from Essential Physics, Chapter 3"

Transcription

1 Answers to selected problems from Essentil Physics, Chpter 3 1. FBD 1 is the correct free-body dirm in ll five cses. As fr s forces re concerned, t rest nd constnt velocity situtions re equivlent. 3. () FBD 1 (b) FBD 3 (c) FBD 2 5. The penny nd the fether fll t the sme rte. In the bsence of ir resistnce, the only force tht mtters is the force of rvity. Thus, the ccelertion of both objects is the ccelertion due to rvity, which is the sme for ny object. 7. () The net force on ech of the blocks is zero. (b) Both block 2 nd block 3 experience three forces. 1 they both experience force of rvity, pplied by the Erth, which is the sme for both blocks. 2 They both experience downwrd norml force, pplied by the block bove it. The downwrd norml force pplied by block 2 on block 3 is lrer thn tht pplied by block 1 on block 2, however, becuse this norml force is equl to the weiht of the blocks sittin on top of the block feelin the norml force. 3 They both experience n upwrd norml force, pplied by the object immeditely below them. The norml force pplied by the floor on block 3, however, hs mnitude equl to the weiht of three blocks, while the upwrd norml force pplied by block 3 on block 2 hs mnitude equl to the weiht of two blocks. 9. () Any constnt-velocity motion, such s trvelin t constnt velocity lon striht hihwy in cr, hockey puck slidin cross frictionless ice surfce, or spce probe driftin throuh spce, trillions of kilometers from nythin else. (b) Not possible. (c) This is possible s lon s there re 2 or more forces ctin on the object, nd ll the forces cncel. An exmple could be you sittin on chir. 11. Yuri could throw the wrench directly wy from the spce sttion. To do this, he would exert force on the wrench in the direction he throws the wrench. By Newton s third lw, the wrench would exert n equl-nd-opposite force bck on Yuri. Once Yuri let o of the wrench, he would drift t constnt velocity bck towrd the spce sttion Essentil Physics, Answers to selected Chpter 3 Problems Pe 1

2 17. (f) We just need two different free-body dirms. In both () nd (e), the bll s ccelertion is directed up, so the upwrd norml force pplied by your hnd is lrer thn the downwrd force of rvity. In (b), the only thin ctin on the bll is the force of rvity, nd whether the bll is movin up, down, t instntneously t rest is irrelevnt Σ F = m x N = m (3.0 m/s ) 2 (e) 2.0 k 23. Σ F = ( M + m) = 0 + F F = 0 N,from tble G,totl Σ F = ( M) = 0 + F F F = 0 N,from tble G2 N1 (e) 10 N, directed down (f) 50 N, directed up Essentil Physics, Answers to selected Chpter 3 Problems Pe 2

3 25. Σ F = ( M + m) = 0 + F F 10 N = 0 N,from tble G,totl Σ F = ( M) = 0 + F F F = 0 N,from tble G2 N1 (e) 20 N, directed down (f) 60 N, directed up 27. Σ F = ( M + m) + F F = ( M + m) + FT1 ( M + m) = ( M + m) T1 G,totl 5 FT1 = ( M + m ) Σ F = ( M) + FT2 FG 2 = M + FT2 M = M 5 FT2 = M (e) 15 N (f) 10 N 29. Essentil Physics, Answers to selected Chpter 3 Problems Pe 3

4 Σ F = (2 m+ m) + 30 N = 3m 10 N = m Σ F = ( m) 10 N + FT 2 = m m F = 10 N T 2 (e) () 20 m/s est (b) 30 m/s est (c) () N (b) 3800 N N 37. Up until t = 5 s, there is no net force pplied to the object. For 1 s, between t = 5 s nd t = 6 s, constnt force directed to the riht is pplied. After t = 6 s, no net force is pplied N 1. () The fifth floor. (b) 20% of ( little under 2.0 m/s 2 ) 3. () 0.00 m/s 2 (b) 350 m/s (c) 200 m/s 5. The mximum ccelertion, of 3.6 m/s 2, is when ll three forces re in the sme direction. The minimum ccelertion is zero, becuse the forces cn be rrned so tht they cncel out N 9. () 8T/5 (b) 2T 51. () equl in the two cses (b) F/5 in both cses (c) in cse 2 (i) F/2 (ii) F/5 53. () 1.0 N (b) 2.0 N (c) 5.0 N 55. () No, it s the sme free-body dirm. (b) No, it s lso the sme. In ech cse, the bll is bein cted upon only by rvity. 57. () (100 m/s 2 ) m (b) 2 m/s, in the direction the puck ws trvelin initilly m 59. () FMm = F M + m M (b) FMm = F M + m (c) M m = Essentil Physics, Answers to selected Chpter 3 Problems Pe

5 61. () The elevtor is t rest for the first 2 seconds, nd then ccelertes down for 2 seconds. This is followed by -second period of constnt velocity, directed down, followed by 2-second period of upwrd ccelertion, while the elevtor is movin down but in the process of comin to rest. The elevtor remins t rest fter tht. (b) 2.0 m/s 2 (c) The elevtor moved down totl distnce of 2 m. Essentil Physics, Answers to selected Chpter 3 Problems Pe 5

Types of forces. Types of Forces

Types of forces. Types of Forces pes of orces pes of forces. orce of Grvit: his is often referred to s the weiht of n object. It is the ttrctive force of the erth. And is lws directed towrd the center of the erth. It hs nitude equl to

More information

Chapter E - Problems

Chapter E - Problems Chpter E - Problems Blinn Collee - Physic425 - Terry Honn Problem E.1 () Wht is the centripetl (rdil) ccelertion of point on the erth's equtor? (b) Give n expression for the centripetl ccelertion s function

More information

Dynamics: Newton s Laws of Motion

Dynamics: Newton s Laws of Motion Lecture 7 Chpter 4 Physics I 09.25.2013 Dynmics: Newton s Lws of Motion Solving Problems using Newton s lws Course website: http://fculty.uml.edu/andriy_dnylov/teching/physicsi Lecture Cpture: http://echo360.uml.edu/dnylov2013/physics1fll.html

More information

Answers to the Conceptual Questions

Answers to the Conceptual Questions Chpter 3 Explining Motion 41 Physics on Your Own If the clss is not too lrge, tke them into freight elevtor to perform this exercise. This simple exercise is importnt if you re going to cover inertil forces

More information

PHYSICS 211 MIDTERM I 21 April 2004

PHYSICS 211 MIDTERM I 21 April 2004 PHYSICS MIDERM I April 004 Exm is closed book, closed notes. Use only your formul sheet. Write ll work nd nswers in exm booklets. he bcks of pges will not be grded unless you so request on the front of

More information

13.4 Work done by Constant Forces

13.4 Work done by Constant Forces 13.4 Work done by Constnt Forces We will begin our discussion of the concept of work by nlyzing the motion of n object in one dimension cted on by constnt forces. Let s consider the following exmple: push

More information

PHYS Summer Professor Caillault Homework Solutions. Chapter 2

PHYS Summer Professor Caillault Homework Solutions. Chapter 2 PHYS 1111 - Summer 2007 - Professor Cillult Homework Solutions Chpter 2 5. Picture the Problem: The runner moves long the ovl trck. Strtegy: The distnce is the totl length of trvel, nd the displcement

More information

The momentum of a body of constant mass m moving with velocity u is, by definition, equal to the product of mass and velocity, that is

The momentum of a body of constant mass m moving with velocity u is, by definition, equal to the product of mass and velocity, that is Newtons Lws 1 Newton s Lws There re three lws which ber Newton s nme nd they re the fundmentls lws upon which the study of dynmics is bsed. The lws re set of sttements tht we believe to be true in most

More information

= 40 N. Q = 60 O m s,k

= 40 N. Q = 60 O m s,k Multiple Choice ( 6 Points Ech ): F pp = 40 N 20 kg Q = 60 O m s,k = 0 1. A 20 kg box is pulled long frictionless floor with n pplied force of 40 N. The pplied force mkes n ngle of 60 degrees with the

More information

In-Class Problems 2 and 3: Projectile Motion Solutions. In-Class Problem 2: Throwing a Stone Down a Hill

In-Class Problems 2 and 3: Projectile Motion Solutions. In-Class Problem 2: Throwing a Stone Down a Hill MASSACHUSETTS INSTITUTE OF TECHNOLOGY Deprtment of Physics Physics 8T Fll Term 4 In-Clss Problems nd 3: Projectile Motion Solutions We would like ech group to pply the problem solving strtegy with the

More information

SECTION B Circular Motion

SECTION B Circular Motion SECTION B Circulr Motion 1. When person stnds on rotting merry-go-round, the frictionl force exerted on the person by the merry-go-round is (A) greter in mgnitude thn the frictionl force exerted on the

More information

Page 1. Motion in a Circle... Dynamics of Circular Motion. Motion in a Circle... Motion in a Circle... Discussion Problem 21: Motion in a Circle

Page 1. Motion in a Circle... Dynamics of Circular Motion. Motion in a Circle... Motion in a Circle... Discussion Problem 21: Motion in a Circle Dynics of Circulr Motion A boy ties rock of ss to the end of strin nd twirls it in the erticl plne. he distnce fro his hnd to the rock is. he speed of the rock t the top of its trectory is. Wht is the

More information

4-6 ROTATIONAL MOTION

4-6 ROTATIONAL MOTION Chpter 4 Motions in Spce 51 Reinforce the ide tht net force is needed for orbitl motion Content We discuss the trnsition from projectile motion to orbitl motion when bll is thrown horizontlly with eer

More information

8A Review Solutions. Roger Mong. February 24, 2007

8A Review Solutions. Roger Mong. February 24, 2007 8A Review Solutions Roer Mon Ferury 24, 2007 Question We ein y doin Free Body Dirm on the mss m. Since the rope runs throuh the lock 3 times, the upwrd force on the lock is 3T. (Not ecuse there re 3 pulleys!)

More information

Lecture 5. Today: Motion in many dimensions: Circular motion. Uniform Circular Motion

Lecture 5. Today: Motion in many dimensions: Circular motion. Uniform Circular Motion Lecture 5 Physics 2A Olg Dudko UCSD Physics Tody: Motion in mny dimensions: Circulr motion. Newton s Lws of Motion. Lws tht nswer why questions bout motion. Forces. Inerti. Momentum. Uniform Circulr Motion

More information

Mathematics of Motion II Projectiles

Mathematics of Motion II Projectiles Chmp+ Fll 2001 Dn Stump 1 Mthemtics of Motion II Projectiles Tble of vribles t time v velocity, v 0 initil velocity ccelertion D distnce x position coordinte, x 0 initil position x horizontl coordinte

More information

Section 4.8. D v(t j 1 ) t. (4.8.1) j=1

Section 4.8. D v(t j 1 ) t. (4.8.1) j=1 Difference Equtions to Differentil Equtions Section.8 Distnce, Position, nd the Length of Curves Although we motivted the definition of the definite integrl with the notion of re, there re mny pplictions

More information

Physics Honors. Final Exam Review Free Response Problems

Physics Honors. Final Exam Review Free Response Problems Physics Honors inl Exm Review ree Response Problems m t m h 1. A 40 kg mss is pulled cross frictionless tble by string which goes over the pulley nd is connected to 20 kg mss.. Drw free body digrm, indicting

More information

Physics 105 Exam 2 10/31/2008 Name A

Physics 105 Exam 2 10/31/2008 Name A Physics 105 Exm 2 10/31/2008 Nme_ A As student t NJIT I will conduct myself in professionl mnner nd will comply with the proisions of the NJIT Acdemic Honor Code. I lso understnd tht I must subscribe to

More information

JURONG JUNIOR COLLEGE

JURONG JUNIOR COLLEGE JURONG JUNIOR COLLEGE 2010 JC1 H1 8866 hysics utoril : Dynmics Lerning Outcomes Sub-topic utoril Questions Newton's lws of motion 1 1 st Lw, b, e f 2 nd Lw, including drwing FBDs nd solving problems by

More information

Dynamics Applying Newton s Laws Accelerated Frames

Dynamics Applying Newton s Laws Accelerated Frames Dynmics Applying Newton s Lws Accelerted Frmes Ln heridn De Anz College Oct 18, 2017 Lst time Circulr motion nd force Centripetl force Exmples Non-uniform circulr motion Overview one lst circulr motion

More information

_3-----"/- ~StudI_G u_id_e_-..,...-~~_~

_3-----/- ~StudI_G u_id_e_-..,...-~~_~ e- / Dte Period Nme CHAPTR 3-----"/- StudIG uide-..,...- [-------------------- Accelerted Motion Vocbulry Review Write the term tht correctly completes the sttement. Use ech term once. ccelertion verge

More information

DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION

DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION Responses to Questions. A cr speedometer mesures only speed. It does not give ny informtion bout the direction, so it does not mesure velocity.. If the velocity

More information

2/20/ :21 AM. Chapter 11. Kinematics of Particles. Mohammad Suliman Abuhaiba,Ph.D., P.E.

2/20/ :21 AM. Chapter 11. Kinematics of Particles. Mohammad Suliman Abuhaiba,Ph.D., P.E. //15 11:1 M Chpter 11 Kinemtics of Prticles 1 //15 11:1 M Introduction Mechnics Mechnics = science which describes nd predicts the conditions of rest or motion of bodies under the ction of forces It is

More information

Exam 1 Solutions (1) C, D, A, B (2) C, A, D, B (3) C, B, D, A (4) A, C, D, B (5) D, C, A, B

Exam 1 Solutions (1) C, D, A, B (2) C, A, D, B (3) C, B, D, A (4) A, C, D, B (5) D, C, A, B PHY 249, Fll 216 Exm 1 Solutions nswer 1 is correct for ll problems. 1. Two uniformly chrged spheres, nd B, re plced t lrge distnce from ech other, with their centers on the x xis. The chrge on sphere

More information

SOLUTIONS TO CONCEPTS CHAPTER 6

SOLUTIONS TO CONCEPTS CHAPTER 6 SOLUIONS O CONCEPS CHAPE 6 1. Let ss of the block ro the freebody digr, 0...(1) velocity Agin 0 (fro (1)) g 4 g 4/g 4/10 0.4 he co-efficient of kinetic friction between the block nd the plne is 0.4. Due

More information

Infinite Geometric Series

Infinite Geometric Series Infinite Geometric Series Finite Geometric Series ( finite SUM) Let 0 < r < 1, nd let n be positive integer. Consider the finite sum It turns out there is simple lgebric expression tht is equivlent to

More information

Model Solutions to Assignment 4

Model Solutions to Assignment 4 Oberlin College Physics 110, Fll 2011 Model Solutions to Assignment 4 Additionl problem 56: A girl, sled, nd n ice-covered lke geometry digrm: girl shore rope sled ice free body digrms: force on girl by

More information

(3.2.3) r x x x y y y. 2. Average Velocity and Instantaneous Velocity 2 1, (3.2.2)

(3.2.3) r x x x y y y. 2. Average Velocity and Instantaneous Velocity 2 1, (3.2.2) Lecture 3- Kinemtics in Two Dimensions Durin our preious discussions we he been tlkin bout objects moin lon the striht line. In relity, howeer, it rrely hppens when somethin moes lon the striht pth. For

More information

NEWTON S LAWS OF MOTION

NEWTON S LAWS OF MOTION NEWON S LAWS O MOION 3.1 Inerti (1) Inherent property of ll the bodies by virtue of which they cnnot chne their stte of rest or uniform motion lon striht line by their own is clled inerti. () wo bodies

More information

Motion. Acceleration. Part 2: Constant Acceleration. October Lab Phyiscs. Ms. Levine 1. Acceleration. Acceleration. Units for Acceleration.

Motion. Acceleration. Part 2: Constant Acceleration. October Lab Phyiscs. Ms. Levine 1. Acceleration. Acceleration. Units for Acceleration. Motion ccelertion Prt : Constnt ccelertion ccelertion ccelertion ccelertion is the rte of chnge of elocity. = - o t = Δ Δt ccelertion = = - o t chnge of elocity elpsed time ccelertion is ector, lthough

More information

16 Newton s Laws #3: Components, Friction, Ramps, Pulleys, and Strings

16 Newton s Laws #3: Components, Friction, Ramps, Pulleys, and Strings Chpter 16 Newton s Lws #3: Components, riction, Rmps, Pulleys, nd Strings 16 Newton s Lws #3: Components, riction, Rmps, Pulleys, nd Strings When, in the cse of tilted coordinte system, you brek up the

More information

PRACTICE EXAM 2 SOLUTIONS

PRACTICE EXAM 2 SOLUTIONS MASSACHUSETTS INSTITUTE OF TECHNOLOGY Deprtment of Phyic Phyic 8.01x Fll Term 00 PRACTICE EXAM SOLUTIONS Proble: Thi i reltively trihtforwrd Newton Second Lw problem. We et up coordinte ytem which i poitive

More information

SOLUTIONS TO CONCEPTS CHAPTER

SOLUTIONS TO CONCEPTS CHAPTER 1. m = kg S = 10m Let, ccelertion =, Initil velocity u = 0. S= ut + 1/ t 10 = ½ ( ) 10 = = 5 m/s orce: = = 5 = 10N (ns) SOLUIONS O CONCEPS CHPE 5 40000. u = 40 km/hr = = 11.11 m/s. 3600 m = 000 kg ; v

More information

Indefinite Integral. Chapter Integration - reverse of differentiation

Indefinite Integral. Chapter Integration - reverse of differentiation Chpter Indefinite Integrl Most of the mthemticl opertions hve inverse opertions. The inverse opertion of differentition is clled integrtion. For exmple, describing process t the given moment knowing the

More information

UCSD Phys 4A Intro Mechanics Winter 2016 Ch 4 Solutions

UCSD Phys 4A Intro Mechanics Winter 2016 Ch 4 Solutions USD Phys 4 Intro Mechnics Winter 06 h 4 Solutions 0. () he 0.0 k box restin on the tble hs the free-body dir shown. Its weiht 0.0 k 9.80 s 96 N. Since the box is t rest, the net force on is the box ust

More information

Math 426: Probability Final Exam Practice

Math 426: Probability Final Exam Practice Mth 46: Probbility Finl Exm Prctice. Computtionl problems 4. Let T k (n) denote the number of prtitions of the set {,..., n} into k nonempty subsets, where k n. Argue tht T k (n) kt k (n ) + T k (n ) by

More information

2/2/ :36 AM. Chapter 11. Kinematics of Particles. Mohammad Suliman Abuhaiba,Ph.D., P.E.

2/2/ :36 AM. Chapter 11. Kinematics of Particles. Mohammad Suliman Abuhaiba,Ph.D., P.E. //16 1:36 AM Chpter 11 Kinemtics of Prticles 1 //16 1:36 AM First Em Wednesdy 4//16 3 //16 1:36 AM Introduction Mechnics Mechnics = science which describes nd predicts the conditions of rest or motion

More information

Applications of Bernoulli s theorem. Lecture - 7

Applications of Bernoulli s theorem. Lecture - 7 Applictions of Bernoulli s theorem Lecture - 7 Prcticl Applictions of Bernoulli s Theorem The Bernoulli eqution cn be pplied to gret mny situtions not just the pipe flow we hve been considering up to now.

More information

Math 8 Winter 2015 Applications of Integration

Math 8 Winter 2015 Applications of Integration Mth 8 Winter 205 Applictions of Integrtion Here re few importnt pplictions of integrtion. The pplictions you my see on n exm in this course include only the Net Chnge Theorem (which is relly just the Fundmentl

More information

1/31/ :33 PM. Chapter 11. Kinematics of Particles. Mohammad Suliman Abuhaiba,Ph.D., P.E.

1/31/ :33 PM. Chapter 11. Kinematics of Particles. Mohammad Suliman Abuhaiba,Ph.D., P.E. 1/31/18 1:33 PM Chpter 11 Kinemtics of Prticles 1 1/31/18 1:33 PM First Em Sturdy 1//18 3 1/31/18 1:33 PM Introduction Mechnics Mechnics = science which describes nd predicts conditions of rest or motion

More information

Chapter 4. (a) (b) (c) rocket engine, n r is a normal force, r f is a friction force, and the forces labeled mg

Chapter 4. (a) (b) (c) rocket engine, n r is a normal force, r f is a friction force, and the forces labeled mg Chpter 4 0. While the engines operte, their totl upwrd thrust eceeds the weight of the rocket, nd the rocket eperiences net upwrd fce. his net fce cuses the upwrd velocit of the rocket to increse in mgnitude

More information

On the diagram below the displacement is represented by the directed line segment OA.

On the diagram below the displacement is represented by the directed line segment OA. Vectors Sclrs nd Vectors A vector is quntity tht hs mgnitude nd direction. One exmple of vector is velocity. The velocity of n oject is determined y the mgnitude(speed) nd direction of trvel. Other exmples

More information

FULL MECHANICS SOLUTION

FULL MECHANICS SOLUTION FULL MECHANICS SOLUION. m 3 3 3 f For long the tngentil direction m 3g cos 3 sin 3 f N m 3g sin 3 cos3 from soling 3. ( N 4) ( N 8) N gsin 3. = ut + t = ut g sin cos t u t = gsin cos = 4 5 5 = s] 3 4 o

More information

DO NOT OPEN THIS EXAM BOOKLET UNTIL INSTRUCTED TO DO SO.

DO NOT OPEN THIS EXAM BOOKLET UNTIL INSTRUCTED TO DO SO. PHYSICS 1 Fll 017 EXAM 1: October 3rd, 017 8:15pm 10:15pm Nme (printed): Recittion Instructor: Section #: DO NOT OPEN THIS EXAM BOOKLET UNTIL INSTRUCTED TO DO SO. This exm contins 5 multiple-choice questions,

More information

200 points 5 Problems on 4 Pages and 20 Multiple Choice/Short Answer Questions on 5 pages 1 hour, 48 minutes

200 points 5 Problems on 4 Pages and 20 Multiple Choice/Short Answer Questions on 5 pages 1 hour, 48 minutes PHYSICS 132 Smple Finl 200 points 5 Problems on 4 Pges nd 20 Multiple Choice/Short Answer Questions on 5 pges 1 hour, 48 minutes Student Nme: Recittion Instructor (circle one): nme1 nme2 nme3 nme4 Write

More information

NEWTON'S LAWS OF MOTION

NEWTON'S LAWS OF MOTION 5 EWO'S LAWS O MOIO EWO S IS LAW O MOIO (O GALLEO S LAW O IEIA) Every body continues its stte of rest or uniform motion in striht line unless compelled by n externl force to chne its stte. his fundmentl

More information

Physics 9 Fall 2011 Homework 2 - Solutions Friday September 2, 2011

Physics 9 Fall 2011 Homework 2 - Solutions Friday September 2, 2011 Physics 9 Fll 0 Homework - s Fridy September, 0 Mke sure your nme is on your homework, nd plese box your finl nswer. Becuse we will be giving prtil credit, be sure to ttempt ll the problems, even if you

More information

The Fundamental Theorem of Calculus. The Total Change Theorem and the Area Under a Curve.

The Fundamental Theorem of Calculus. The Total Change Theorem and the Area Under a Curve. Clculus Li Vs The Fundmentl Theorem of Clculus. The Totl Chnge Theorem nd the Are Under Curve. Recll the following fct from Clculus course. If continuous function f(x) represents the rte of chnge of F

More information

Phys101 Lecture 4,5 Dynamics: Newton s Laws of Motion

Phys101 Lecture 4,5 Dynamics: Newton s Laws of Motion Phys101 Lecture 4,5 Dynics: ewton s Lws of Motion Key points: ewton s second lw is vector eqution ction nd rection re cting on different objects ree-ody Digrs riction Inclines Ref: 4-1,2,3,4,5,6,7,8,9.

More information

a) mass inversely proportional b) force directly proportional

a) mass inversely proportional b) force directly proportional 1. Wht produces ccelertion? A orce 2. Wht is the reltionship between ccelertion nd ) mss inersely proportionl b) orce directly proportionl 3. I you he orce o riction, 30N, on n object, how much orce is

More information

COMPUTER BASED TEST (CBT) Concept Based Questions & Solutions

COMPUTER BASED TEST (CBT) Concept Based Questions & Solutions PAPER- (B.E./B. TECH.) JEE (Min) 9 COMPUTER BASED TEST (CBT) Concept Bsed Questions & Solutions Dte: 9, 9 (SHIT-) TIME : (9.3.m. to.3 p.m) Durtion: 3 Hours Mx. Mrks: 36 SUBJECT :PHYSICS JEE MAIN-9 DATE

More information

pivot F 2 F 3 F 1 AP Physics 1 Practice Exam #3 (2/11/16)

pivot F 2 F 3 F 1 AP Physics 1 Practice Exam #3 (2/11/16) AP Physics 1 Prctice Exm #3 (/11/16) Directions: Ech questions or incomplete sttements below is followed by four suggested nswers or completions. Select one tht is best in ech cse nd n enter pproprite

More information

Version 001 HW#6 - Electromagnetism arts (00224) 1

Version 001 HW#6 - Electromagnetism arts (00224) 1 Version 001 HW#6 - Electromgnetism rts (00224) 1 This print-out should hve 11 questions. Multiple-choice questions my continue on the next column or pge find ll choices efore nswering. rightest Light ul

More information

Introduction to Mechanics Practice using the Kinematics Equations

Introduction to Mechanics Practice using the Kinematics Equations Introduction to Mechnics Prctice using the Kinemtics Equtions Ln Sheridn De Anz College Jn 24, 2018 Lst time finished deriing the kinemtics equtions some problem soling prctice Oeriew using kinemtics equtions

More information

THREE-DIMENSIONAL KINEMATICS OF RIGID BODIES

THREE-DIMENSIONAL KINEMATICS OF RIGID BODIES THREE-DIMENSIONAL KINEMATICS OF RIGID BODIES 1. TRANSLATION Figure shows rigid body trnslting in three-dimensionl spce. Any two points in the body, such s A nd B, will move long prllel stright lines if

More information

4.4 Areas, Integrals and Antiderivatives

4.4 Areas, Integrals and Antiderivatives . res, integrls nd ntiderivtives 333. Ares, Integrls nd Antiderivtives This section explores properties of functions defined s res nd exmines some connections mong res, integrls nd ntiderivtives. In order

More information

Lecture 13 - Linking E, ϕ, and ρ

Lecture 13 - Linking E, ϕ, and ρ Lecture 13 - Linking E, ϕ, nd ρ A Puzzle... Inner-Surfce Chrge Density A positive point chrge q is locted off-center inside neutrl conducting sphericl shell. We know from Guss s lw tht the totl chrge on

More information

DIRECT CURRENT CIRCUITS

DIRECT CURRENT CIRCUITS DRECT CURRENT CUTS ELECTRC POWER Consider the circuit shown in the Figure where bttery is connected to resistor R. A positive chrge dq will gin potentil energy s it moves from point to point b through

More information

Solutions to Physics: Principles with Applications, 5/E, Giancoli Chapter 16 CHAPTER 16

Solutions to Physics: Principles with Applications, 5/E, Giancoli Chapter 16 CHAPTER 16 CHAPTER 16 1. The number of electrons is N = Q/e = ( 30.0 10 6 C)/( 1.60 10 19 C/electrons) = 1.88 10 14 electrons.. The mgnitude of the Coulomb force is Q /r. If we divide the epressions for the two forces,

More information

Summary of equations chapters 7. To make current flow you have to push on the charges. For most materials:

Summary of equations chapters 7. To make current flow you have to push on the charges. For most materials: Summry of equtions chpters 7. To mke current flow you hve to push on the chrges. For most mterils: J E E [] The resistivity is prmeter tht vries more thn 4 orders of mgnitude between silver (.6E-8 Ohm.m)

More information

Improper Integrals, and Differential Equations

Improper Integrals, and Differential Equations Improper Integrls, nd Differentil Equtions October 22, 204 5.3 Improper Integrls Previously, we discussed how integrls correspond to res. More specificlly, we sid tht for function f(x), the region creted

More information

Operations with Polynomials

Operations with Polynomials 38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: How to identify the leding coefficients nd degrees of polynomils How to dd nd subtrct polynomils How to multiply polynomils

More information

PART 1 MULTIPLE CHOICE Circle the appropriate response to each of the questions below. Each question has a value of 1 point.

PART 1 MULTIPLE CHOICE Circle the appropriate response to each of the questions below. Each question has a value of 1 point. PART MULTIPLE CHOICE Circle the pproprite response to ech of the questions below. Ech question hs vlue of point.. If in sequence the second level difference is constnt, thn the sequence is:. rithmetic

More information

Physics 2135 Exam 1 February 14, 2017

Physics 2135 Exam 1 February 14, 2017 Exm Totl / 200 Physics 215 Exm 1 Ferury 14, 2017 Printed Nme: Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the est or most nerly correct nswer. 1. Two chrges 1 nd 2 re seprted

More information

COURSE TARGETS AP PHYSICS TEST SCORES World SHS

COURSE TARGETS AP PHYSICS TEST SCORES World SHS 2011 AP PHYSICS TEST SCORES World SHS 2011 AP PHYSICS TEST SCORES World SHS COURSE TARGETS be ble to stte, nd understnd the mening of, Newton's 3 lws of motion. be ble to pply Newton's lws to simple situtions

More information

HW Solutions # MIT - Prof. Kowalski. Friction, circular dynamics, and Work-Kinetic Energy.

HW Solutions # MIT - Prof. Kowalski. Friction, circular dynamics, and Work-Kinetic Energy. HW Solutions # 5-8.01 MIT - Prof. Kowlski Friction, circulr dynmics, nd Work-Kinetic Energy. 1) 5.80 If the block were to remin t rest reltive to the truck, the friction force would need to cuse n ccelertion

More information

Linear Approximation and the Fundamental Theorem of Calculus

Linear Approximation and the Fundamental Theorem of Calculus Mth 3A Discussion Session Week 9 Notes Mrch nd 3, 26 Liner Approimtion nd the Fundmentl Theorem of Clculus We hve three primry ols in tody s discussion of the fundmentl theorem of clculus. By the end of

More information

General Relativity 05/12/2008. Lecture 15 1

General Relativity 05/12/2008. Lecture 15 1 So Fr, We Hve Generl Reltivity Einstein Upsets the Applecrt Decided tht constnt velocity is the nturl stte of things Devised nturl philosophy in which ccelertion is the result of forces Unified terrestril

More information

Chapter 1: Fundamentals

Chapter 1: Fundamentals Chpter 1: Fundmentls 1.1 Rel Numbers Types of Rel Numbers: Nturl Numbers: {1, 2, 3,...}; These re the counting numbers. Integers: {... 3, 2, 1, 0, 1, 2, 3,...}; These re ll the nturl numbers, their negtives,

More information

Homework Assignment 6 Solution Set

Homework Assignment 6 Solution Set Homework Assignment 6 Solution Set PHYCS 440 Mrch, 004 Prolem (Griffiths 4.6 One wy to find the energy is to find the E nd D fields everywhere nd then integrte the energy density for those fields. We know

More information

Correct answer: 0 m/s 2. Explanation: 8 N

Correct answer: 0 m/s 2. Explanation: 8 N Version 001 HW#3 - orces rts (00223) 1 his print-out should hve 15 questions. Multiple-choice questions my continue on the next column or pge find ll choices before nswering. Angled orce on Block 01 001

More information

Adding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions 6.4 Adding nd Subtrcting Rtionl Epressions Essentil Question How cn you determine the domin of the sum or difference of two rtionl epressions? You cn dd nd subtrct rtionl epressions in much the sme wy

More information

Summary: Method of Separation of Variables

Summary: Method of Separation of Variables Physics 246 Electricity nd Mgnetism I, Fll 26, Lecture 22 1 Summry: Method of Seprtion of Vribles 1. Seprtion of Vribles in Crtesin Coordintes 2. Fourier Series Suggested Reding: Griffiths: Chpter 3, Section

More information

Week 10: Line Integrals

Week 10: Line Integrals Week 10: Line Integrls Introduction In this finl week we return to prmetrised curves nd consider integrtion long such curves. We lredy sw this in Week 2 when we integrted long curve to find its length.

More information

Physics 121 Sample Common Exam 1 NOTE: ANSWERS ARE ON PAGE 8. Instructions:

Physics 121 Sample Common Exam 1 NOTE: ANSWERS ARE ON PAGE 8. Instructions: Physics 121 Smple Common Exm 1 NOTE: ANSWERS ARE ON PAGE 8 Nme (Print): 4 Digit ID: Section: Instructions: Answer ll questions. uestions 1 through 16 re multiple choice questions worth 5 points ech. You

More information

Conducting Ellipsoid and Circular Disk

Conducting Ellipsoid and Circular Disk 1 Problem Conducting Ellipsoid nd Circulr Disk Kirk T. McDonld Joseph Henry Lbortories, Princeton University, Princeton, NJ 08544 (September 1, 00) Show tht the surfce chrge density σ on conducting ellipsoid,

More information

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3 2 The Prllel Circuit Electric Circuits: Figure 2- elow show ttery nd multiple resistors rrnged in prllel. Ech resistor receives portion of the current from the ttery sed on its resistnce. The split is

More information

WELCOME TO THE LECTURE

WELCOME TO THE LECTURE WELCOME TO THE LECTURE ON DC MOTOR Force on conductor If conductor is plced in mgnetic field nd current is llowed to flow through the conductor, the conductor will experience mechnicl force. N S Electric

More information

Chapters 4 & 5 Integrals & Applications

Chapters 4 & 5 Integrals & Applications Contents Chpters 4 & 5 Integrls & Applictions Motivtion to Chpters 4 & 5 2 Chpter 4 3 Ares nd Distnces 3. VIDEO - Ares Under Functions............................................ 3.2 VIDEO - Applictions

More information

Physics 212. Faraday s Law

Physics 212. Faraday s Law Phsics 1 Lecture 17 Frd s Lw Phsics 1 Lecture 17, Slide 1 Motionl EMF Chnge Are of loop Chnge mgnetic field through loop Chnge orienttion of loop reltive to In ech cse the flu of the mgnetic field through

More information

Physics 319 Classical Mechanics. G. A. Krafft Old Dominion University Jefferson Lab Lecture 2

Physics 319 Classical Mechanics. G. A. Krafft Old Dominion University Jefferson Lab Lecture 2 Physics 319 Clssicl Mechnics G. A. Krfft Old Dominion University Jefferson Lb Lecture Undergrdute Clssicl Mechnics Spring 017 Sclr Vector or Dot Product Tkes two vectors s inputs nd yields number (sclr)

More information

GRADE 4. Division WORKSHEETS

GRADE 4. Division WORKSHEETS GRADE Division WORKSHEETS Division division is shring nd grouping Division cn men shring or grouping. There re cndies shred mong kids. How mny re in ech shre? = 3 There re 6 pples nd go into ech bsket.

More information

Student Session Topic: Particle Motion

Student Session Topic: Particle Motion Student Session Topic: Prticle Motion Prticle motion nd similr problems re on the AP Clculus exms lmost every yer. The prticle my be prticle, person, cr, etc. The position, velocity or ccelertion my be

More information

Prep Session Topic: Particle Motion

Prep Session Topic: Particle Motion Student Notes Prep Session Topic: Prticle Motion Number Line for AB Prticle motion nd similr problems re on the AP Clculus exms lmost every yer. The prticle my be prticle, person, cr, etc. The position,

More information

Physics Dynamics: Atwood Machine

Physics Dynamics: Atwood Machine plce of ind F A C U L Y O F E D U C A I O N Deprtent of Curriculu nd Pedoy Physics Dynics: Atwood Mchine Science nd Mthetics Eduction Reserch Group Supported by UBC echin nd Lernin Enhnceent Fund 0-04

More information

MASTER CLASS PROGRAM UNIT 4 SPECIALIST MATHEMATICS WEEK 11 WRITTEN EXAMINATION 2 SOLUTIONS SECTION 1 MULTIPLE CHOICE QUESTIONS

MASTER CLASS PROGRAM UNIT 4 SPECIALIST MATHEMATICS WEEK 11 WRITTEN EXAMINATION 2 SOLUTIONS SECTION 1 MULTIPLE CHOICE QUESTIONS MASTER CLASS PROGRAM UNIT 4 SPECIALIST MATHEMATICS WEEK WRITTEN EXAMINATION SOLUTIONS FOR ERRORS AND UPDATES, PLEASE VISIT WWW.TSFX.COM.AU/MC-UPDATES SECTION MULTIPLE CHOICE QUESTIONS QUESTION QUESTION

More information

1.2. Linear Variable Coefficient Equations. y + b "! = a y + b " Remark: The case b = 0 and a non-constant can be solved with the same idea as above.

1.2. Linear Variable Coefficient Equations. y + b ! = a y + b  Remark: The case b = 0 and a non-constant can be solved with the same idea as above. 1 12 Liner Vrible Coefficient Equtions Section Objective(s): Review: Constnt Coefficient Equtions Solving Vrible Coefficient Equtions The Integrting Fctor Method The Bernoulli Eqution 121 Review: Constnt

More information

INTRODUCTION. The three general approaches to the solution of kinetics problems are:

INTRODUCTION. The three general approaches to the solution of kinetics problems are: INTRODUCTION According to Newton s lw, prticle will ccelerte when it is subjected to unblnced forces. Kinetics is the study of the reltions between unblnced forces nd the resulting chnges in motion. The

More information

A little harder example. A block sits at rest on a flat surface. The block is held down by its weight. What is the interaction pair for the weight?

A little harder example. A block sits at rest on a flat surface. The block is held down by its weight. What is the interaction pair for the weight? Neton s Ls of Motion (ges 9-99) 1. An object s velocit vector v remins constnt if nd onl if the net force cting on the object is zero.. hen nonzero net force cts on n object, the object s velocit chnges.

More information

The Regulated and Riemann Integrals

The Regulated and Riemann Integrals Chpter 1 The Regulted nd Riemnn Integrls 1.1 Introduction We will consider severl different pproches to defining the definite integrl f(x) dx of function f(x). These definitions will ll ssign the sme vlue

More information

The Wave Equation I. MA 436 Kurt Bryan

The Wave Equation I. MA 436 Kurt Bryan 1 Introduction The Wve Eqution I MA 436 Kurt Bryn Consider string stretching long the x xis, of indeterminte (or even infinite!) length. We wnt to derive n eqution which models the motion of the string

More information

Heat flux and total heat

Heat flux and total heat Het flux nd totl het John McCun Mrch 14, 2017 1 Introduction Yesterdy (if I remember correctly) Ms. Prsd sked me question bout the condition of insulted boundry for the 1D het eqution, nd (bsed on glnce

More information

AP Physics 1. Slide 1 / 71. Slide 2 / 71. Slide 3 / 71. Circular Motion. Topics of Uniform Circular Motion (UCM)

AP Physics 1. Slide 1 / 71. Slide 2 / 71. Slide 3 / 71. Circular Motion. Topics of Uniform Circular Motion (UCM) Slide 1 / 71 Slide 2 / 71 P Physics 1 irculr Motion 2015-12-02 www.njctl.org Topics of Uniform irculr Motion (UM) Slide 3 / 71 Kinemtics of UM lick on the topic to go to tht section Period, Frequency,

More information

CHAPTER 5 Newton s Laws of Motion

CHAPTER 5 Newton s Laws of Motion CHAPTER 5 Newton s Lws of Motion We ve been lerning kinetics; describing otion without understnding wht the cuse of the otion ws. Now we re going to lern dynics!! Nno otor 103 PHYS - 1 Isc Newton (1642-1727)

More information

1.1. Linear Constant Coefficient Equations. Remark: A differential equation is an equation

1.1. Linear Constant Coefficient Equations. Remark: A differential equation is an equation 1 1.1. Liner Constnt Coefficient Equtions Section Objective(s): Overview of Differentil Equtions. Liner Differentil Equtions. Solving Liner Differentil Equtions. The Initil Vlue Problem. 1.1.1. Overview

More information

Sample Problems for the Final of Math 121, Fall, 2005

Sample Problems for the Final of Math 121, Fall, 2005 Smple Problems for the Finl of Mth, Fll, 5 The following is collection of vrious types of smple problems covering sections.8,.,.5, nd.8 6.5 of the text which constitute only prt of the common Mth Finl.

More information

Kepler's Three LAWS. Universal Gravitation Chapter 12. Heliocentric Model. Geocentric Model. Other Models. Johannes Kepler

Kepler's Three LAWS. Universal Gravitation Chapter 12. Heliocentric Model. Geocentric Model. Other Models. Johannes Kepler Universl Grvittion Chpter 1 Johnnes Kepler Johnnes Kepler ws Germn mthemticin, stronomer nd strologer, nd key figure in the 17th century Scientific revolution. He is best known for his lws of plnetry motion,

More information

Version 001 Review 1: Mechanics tubman (IBII ) During each of the three intervals correct

Version 001 Review 1: Mechanics tubman (IBII ) During each of the three intervals correct Version 001 Review 1: Mechnics tubmn (IBII20142015) 1 This print-out should hve 72 questions. Multiple-choice questions my continue on the next column or pge find ll choices before nswering. Displcement

More information

The heat budget of the atmosphere and the greenhouse effect

The heat budget of the atmosphere and the greenhouse effect The het budget of the tmosphere nd the greenhouse effect 1. Solr rdition 1.1 Solr constnt The rdition coming from the sun is clled solr rdition (shortwve rdition). Most of the solr rdition is visible light

More information