GENERAL PHYSICS PH 221-1D (Dr. S. Mirov) Test 4 (Sample) ALL QUESTIONS ARE WORTH 20 POINTS. WORK OUT FIVE PROBLEMS.
|
|
- Kenneth Daniel
- 5 years ago
- Views:
Transcription
1 GENERAL PHYSICS PH -D (Dr. S. Mirv) Test 4 (Sple) STUDENT NAME: Ke STUDENT id #: ALL QUESTIONS ARE WORTH 0 POINTS. WORK OUT FIVE PROBLEMS. NOTE: Clerl write ut slutins nd nswers (circle the nswers) b sectin r ech prt (., b., c., etc.) Iprtnt Fruls:. Mtin lng stright line with cnstnt ccelertin v ver. speed = [dist. tken]/[tie trv.]=s/t; v ver.vel. = /t; v ins =d/t; ver. = v ver. vel. /t; = dv/t; v = v + t; = /(v +v)t; = v t + / t ; v = v + (i =0 t t =0). Free ll tin (with psitive directin ) g = 9.80 /s ; = v ver. t v ver. = (v+v )/; v = v - gt; = v t - / g t ; v = v g (i =0 t t =0) 3. Mtin in plne v = v cs; v = v sin; = v t+ / t ; = v t + / t ; v = v + t; v = v + t; 4. Prjectile tin (with psitive directin ) v = v = v cs; = v t; = ( v sin cs)/g = (v sin)/g r in = in ; v = v - gt = v sin - gt; = v t - / gt ; 5. Unir circulr Mtin =v /r, T=r/v 6. Reltive tin v P A v P B v B A PA PB 7. Cpnent ethd vectr dditin
2 A = A + A ; A = A + A nd A = A + A ; A A A ; = tn - A /A ; The sclr prduct A b = b c s b ( ˆ ˆ ˆ) ( ˆ ˆ ˆ i j zk b i b j b zk ) b = b b zb z The vectr prduct b ( ˆ ˆ ˆ) ( ˆ ˆ ˆ i j zk b i b j b zk ) iˆ ˆj kˆ z ˆ ˆ z ˆ b b z i j k b b z b b b z b b b b z ( b b ) iˆ ( b b ) ˆj ( b b ) kˆ z z z z. Secnd Newtn s Lw =F net ;. Kinetic rictin k = k N; 3. Sttic rictin s = s N; 4. Universl Lw Grvittin: F=GM/r ; G= N /kg ; 5. Drg ceicient D C A v 6. Terinl speed v t g C A 7. Centripetl rce: F c =v /r 8. Speed the stellite in circulr rbit: v =GM E /r 9. The wrk dne b cnstnt rce cting n n bject: W F d cs F d 0. Kinetic energ: K v. Ttl echnicl energ: E=K+U. The wrk-energ there: W=K -K ; W nc =K+U=E -E 3. The principle cnservtin echnicl energ: when W nc =0, E =E 4. Wrk dne b the grvittinl rce: W g d cs g
3 . Wrk dne in Liting nd Lwering the bject: K K K W W ; i K K ; W W i g i g. Spring Frce: F k (H k's lw ) 3. Wrk dne b spring rce: W k k ; i 0 nd ; W k s i i s 4. Wrk dne b vrible rce: W F ( ) d W d W 5. Pwer: P vg ; P ; P F v cs F v t d t 6. Ptentil energ: U W ; U F ( ) d 7. Grvittinl Ptentil Energ: U g ( ) g ; i 0 n d U 0 ; U ( ) g i i i i i 8. Elstic ptentil Energ: U ( ) k 9. Ptentil energ curves: du ( ) F ( ) ; K ( ) E e c U ( ) d 0. Wrk dne n sste b n eternl rce: F ric ti n is n t in v lv e d W h e n k in e tic ric ti n rc e c ts w ith in th e s ste E d th k W E K U e c W E E e c th. Cnservtin energ: W E E E E e c th r islted sste (W =0) E E E 0 in t e c th in t E. Pwer: P vg ; t P de d t ; 3. Center ss: r r n c i i M i 4. Newtns Secnd Lw r sste prticles: F net M c 3
4 . Liner Mentu nd Newtn s Secnd lw r sste prticles: P M v nd F c net dp dt t. Cllisin nd ipulse: J F ( t ) d t; J F t; t i vg when stre bdies with ss nd n n speed v, cllides with bd whse psitin is ied F vg p v v t t t Ipulse-Liner Mentu There: p p i J 3. Lw Cnservtin Liner entu: P P r clsed, islted sste 4. Inelstic cllisin in ne diensin: p p p p i i i 5. Mtin the Center Mss: The center ss clsed, islted sste tw clliding bdies is nt ected b cllisin. 6. Elstic Cllisin in One Diensin: v v ; v v i i 7. Cllisin in Tw Diensins: p p p p ; p p p p i i i i 8. Vrible-ss sste: Rv rel v v v M (irst rcket equtin) i r e l M i ln (secnd rcket equtin) M S 9. Angulr Psitin: (rdin esure) r 0. Angulr Displceent: (p sitiv e r c u n terclc k w ise r ttin ) d. Angulr velcit nd speed: vg ; (p sitive r c u n tercl ck w ise rtti n ) t d t. Angulr ccelertin: vg ; t d d t 4
5 t ( ) t. ngulr ccelertin: t t ( ) t t. Liner nd ngulr vribles relted: I r d v r s r ; v r ; t r ; r r ; T r v 3. Rttinl Kinetic Energ nd Rttinl Inerti: K I ; I iri r bd s sste discrete prticles; r b d w ith c n tin u u sl d istrib u te d ss. 4. The prllel es there: I I c M h 5. Trque: rf r F rf sin t 6. Newtn s secnd lw in ngulr r: net I 7. Wrk nd Rttinl Kinetic Energ: W d ; W ( ) r cnst; i i dw P K K K I I W dt ; i i w rk e n e rg th e re r r t tin g b d ie s v c R K I c v 8. Rlling bdies: c R g sin c I / M R c c r r llin g s th l d w n th e r p 9. Trque s vectr: r F ; rf sin rf r F 5
6 l r p ( r v ) ;. Angulr Mentu prticle: l r v sin r p r v r p r v dl. Newtn s Secnd lw in Angulr Fr: net dt n L l i i 3. Angulr entu sste prticles: dl net et dt 4. Angulr Mentu Rigid Bd: L I 5. Cnservtin Angulr Mentu: L L (is l te d s ste ) 6. Sttic equilibriu: 7. Elstic Mduli: stress= dulus strin i F net 0; net 0 i ll the rces lie in plne F 0; F 0; 0 F L 8. Tensin nd Cpressin: E, E is the Y ung's dulus A L F L 9. Shering: G, G is the sher dulus A L V 0. Hdrulic Stress: p B, B is th e b u lk d u lu s V net, net, net, z. Siple hrnic tin: t v t t cs( ); sin( ); cs( ) k. The Liner Oscilltr:, T k 3. Pendulus: T T I k, trsin pendulu L g, si ple pendulu T I, phsicl pendulu g h 6
7 . Dped Hrnic Mtin: bt k b ( t ) e c s ( ' t ), ', E ( t ) k e 4 bt. Sinusidl wves: (, t ) sin( k t ), k,, v T k T 3. Wve speed n stretched string: v 4. Averge pwer trnsitted b sinusidl wve n stretched string: P vg v 5. Intererence wves: '(, t ) [ c s ] s in ( k t ) 6. Stnding wves: '(, t ) [ s in k ] c s t v v 7. Resnnce: n, r n,,3,... L B 8. Sund wves: v, L ( ) r 0,,,3..., cnstructive intererence 9. Intererence: L ( ) r 0,,,3..., destructive intererence 0. Sund Intensit: P P s I, I v s, I A 4 r. Sund level in decibels: I ( 0 db ) l g, I 0 W / I. Stnding wve ptterns in pipes: v n v L, n,,3,..., r pipe pened r bth ends v n v 4 L, n,3,5,..., r pipe clsed t ne end nd pened t the ther 3. Bets: bet 7
8 vr. The Dppler eect: ' ( ) v sund;(v s =33/s); ' v E v s vs vr ' generl Dppler Eect v v s E, v R the speed the receiver; v s the speed the s + r receiver pprching sttinr eitter, - r receiver ving w r the sttinr eitter;, v E the speed the eitter, v s the speed the sund, - r eitter pprching sttinr receiver, + r eitter ving w r the sttinr receiver; 8
9 9
10 . Yur grndther clck s pendulu hs length i the clck lses hl inute per d, hw shuld u djust the length the pendulu? L Fr siple pendulu T g Suppse clck's pendulu scilltes "n" ties in d. nt ( ) 86370s ter the djustent the pendulu's length nt (4 3600) 86400s Tke rti T T L g L L L g L L L
11
12 4.
13 5. 3
14 6. 4
Sample Test 3. STUDENT NAME: STUDENT id #:
GENERAL PHYSICS PH -3A (Dr. S. Mirv) Test 3 (/7/07) ke Smple Test 3 STUDENT NAME: STUDENT id #: -------------------------------------------------------------------------------------------------------------------------------------------
More informationSample Test 3. STUDENT NAME: STUDENT id #:
GENERAL PHYSICS PH -3A (Dr. S. Mirv) Test 3 (/7/07) ke Sample Test 3 STUDENT NAME: STUDENT id #: -------------------------------------------------------------------------------------------------------------------------------------------
More information12/01/10. STUDENT NAME: STUDENT id #: NOTE: Clearly write out solutions and answers (circle the answers) by section for each part (a., b., c., etc.
GENERAL PHYSICS PH -3A (Dr. S. Mirv) Tet 4 (/03/07) Key /0/0 STUDENT NAME: STUDENT id #: -------------------------------------------------------------------------------------------------------------------------------------------
More informationAnnouncements. 30 o. The pumpkin is on the left and the watermelon is on the right. The picture on page 138 is better.
Annuncements Em 1 is ne eek. Ems frm revius semesters hve been sted n the ebsite. HITT quiz slutins re sted n ebsite. Td e ill finish Chter 4 nd begin Chter 5. ill st Em 1 brekdn nd revie mteril. Lk fr
More informationWYSE Academic Challenge Regional Physics 2008 SOLUTION SET
WYSE cdemic Chllenge eginl 008 SOLUTION SET. Crrect nswer: E. Since the blck is mving lng circulr rc when it is t pint Y, it hs centripetl ccelertin which is in the directin lbeled c. Hwever, the blck
More informationPhys101 Final Code: 1 Term: 132 Wednesday, May 21, 2014 Page: 1
Phys101 Final Cde: 1 Term: 1 Wednesday, May 1, 014 Page: 1 Q1. A car accelerates at.0 m/s alng a straight rad. It passes tw marks that are 0 m apart at times t = 4.0 s and t = 5.0 s. Find the car s velcity
More informationGENERAL PHYSICS PH 221-1D (Dr. S. Mirov) Test 4 (04/29/13) ALL QUESTIONS ARE WORTH 20 POINTS. WORK OUT FIVE PROBLEMS.
GENERAL PHYSICS PH -D (Dr. S. Mirov) Test 4 (04/9/3) STUDENT NAME: key STUDENT id #: -------------------------------------------------------------------------------------------------------------------------------------------
More informationWork, Energy, and Power
rk, Energy, and Pwer Physics 1 There are many different TYPES f Energy. Energy is expressed in JOULES (J 419J 4.19 1 calrie Energy can be expressed mre specifically by using the term ORK( rk The Scalar
More informationME 236 Engineering Mechanics I Test #4 Solution
ME 36 Enineein Mechnics I est #4 Slutin Dte: id, M 14, 4 ie: 8:-1: inutes Instuctins: vein hptes 1-13 f the tetbk, clsed-bk test, clcults llwed. 1 (4% blck ves utwd ln the slt in the pltf with speed f
More informationPhysics 102. Final Examination. Spring Semester ( ) P M. Fundamental constants. n = 10P
ε µ0 N mp M G T Kuwit University hysics Deprtment hysics 0 Finl Exmintin Spring Semester (0-0) My, 0 Time: 5:00 M :00 M Nme.Student N Sectin N nstructrs: Drs. bdelkrim, frsheh, Dvis, Kkj, Ljk, Mrfi, ichler,
More informationQ x = cos 1 30 = 53.1 South
Crdinatr: Dr. G. Khattak Thursday, August 0, 01 Page 1 Q1. A particle mves in ne dimensin such that its psitin x(t) as a functin f time t is given by x(t) =.0 + 7 t t, where t is in secnds and x(t) is
More informationKinetics of Particles. Chapter 3
Kinetics f Particles Chapter 3 1 Kinetics f Particles It is the study f the relatins existing between the frces acting n bdy, the mass f the bdy, and the mtin f the bdy. It is the study f the relatin between
More informationPH2200 Practice Exam I Summer 2003
PH00 Prctice Exm I Summer 003 INSTRUCTIONS. Write yur nme nd student identifictin number n the nswer sheet.. Plese cver yur nswer sheet t ll times. 3. This is clsed bk exm. Yu my use the PH00 frmul sheet
More informationChapter 5: Force and Motion I-a
Chapter 5: rce and Mtin I-a rce is the interactin between bjects is a vectr causes acceleratin Net frce: vectr sum f all the frces n an bject. v v N v v v v v ttal net = i = + + 3 + 4 i= Envirnment respnse
More informationSolution to HW14 Fall-2002
Slutin t HW14 Fall-2002 CJ5 10.CQ.003. REASONING AND SOLUTION Figures 10.11 and 10.14 shw the velcity and the acceleratin, respectively, the shadw a ball that underges unirm circular mtin. The shadw underges
More informationLecture 2: Single-particle Motion
Lecture : Single-particle Mtin Befre we start, let s l at Newtn s 3 rd Law Iagine a situatin where frces are nt transitted instantly between tw bdies, but rather prpagate at se velcity c This is true fr
More informationPhys101 Second Major-061 Zero Version Coordinator: AbdelMonem Saturday, December 09, 2006 Page: 1
Crdinatr: AbdelMnem Saturday, December 09, 006 Page: Q. A 6 kg crate falls frm rest frm a height f.0 m nt a spring scale with a spring cnstant f.74 0 3 N/m. Find the maximum distance the spring is cmpressed.
More informationPhy 213: General Physics III 6/14/2007 Chapter 28 Worksheet 1
Ph 13: General Phsics III 6/14/007 Chapter 8 Wrksheet 1 Magnetic Fields & Frce 1. A pint charge, q= 510 C and m=110-3 m kg, travels with a velcit f: v = 30 ˆ s i then enters a magnetic field: = 110 T ˆj.
More informationHarmonic Motion (HM) Oscillation with Laminar Damping
Harnic Mtin (HM) Oscillatin with Lainar Daping If yu dn t knw the units f a quantity yu prbably dn t understand its physical significance. Siple HM r r Hke' s Law: F k x definitins: f T / T / Bf x A sin
More information2015 Regional Physics Exam Solution Set
05 Reginal hysics Exa Slutin Set. Crrect answer: D Nte: [quantity] dentes: units f quantity WYSE Acadeic Challenge 05 Reginal hysics Exa SOLUTION SET r F r a lengthass length / tie ass length / tie. Crrect
More informationStudy Guide Physics Pre-Comp 2013
I. Scientific Measurement Metric Units S.I. English Length Meter (m) Feet (ft.) Mass Kilgram (kg) Pund (lb.) Weight Newtn (N) Ounce (z.) r pund (lb.) Time Secnds (s) Secnds (s) Vlume Liter (L) Galln (gal)
More informationALGEBRA 2/TRIGONMETRY TOPIC REVIEW QUARTER 3 LOGS
ALGEBRA /TRIGONMETRY TOPIC REVIEW QUARTER LOGS Cnverting frm Epnentil frm t Lgrithmic frm: E B N Lg BN E Americn Ben t French Lg Ben-n Lg Prperties: Lg Prperties lg (y) lg + lg y lg y lg lg y lg () lg
More informationPhys102 Second Major-102 Zero Version Coordinator: Al-Shukri Thursday, May 05, 2011 Page: 1
Crdinatr: Al-Shukri Thursday, May 05, 2011 Page: 1 1. Particles A and B are electrically neutral and are separated by 5.0 μm. If 5.0 x 10 6 electrns are transferred frm particle A t particle B, the magnitude
More informationf = µ mg = kg 9.8m/s = 15.7N. Since this is more than the applied
Phsics 141H lutins r Hmewrk et #5 Chapter 5: Multiple chice: 8) (a) he maimum rce eerted b static rictin is µ N. ince the blck is resting n a level surace, N = mg. the maimum rictinal rce is ( ) ( ) (
More informationPhys101 First Major-131 Zero Version Coordinator: Dr. A. A. Naqvi Wednesday, September 25, 2013 Page: 1
Phys11 First Majr-11 Zer Versin Crdinatr: Dr. A. A. Naqvi Wednesday, September 5, 1 Page: 1 Q1. Cnsider tw unifrm slid spheres A and B made f the same material and having radii r A and r B, respectively.
More informationSample Test 2. GENERAL PHYSICS PH 221-3A (Dr. S. Mirov) Test 2 (10/10/07) ALL QUESTIONS ARE WORTH 20 POINTS. WORK OUT FIVE PROBLEMS.
GENERAL PHYSICS PH -3A (Dr. S. Mirov) Test (0/0/07) Sample Test STUDENT NAME: _Key STUDENT id #: -------------------------------------------------------------------------------------------------------------------------------------------
More informationAP Physics Kinematic Wrap Up
AP Physics Kinematic Wrap Up S what d yu need t knw abut this mtin in tw-dimensin stuff t get a gd scre n the ld AP Physics Test? First ff, here are the equatins that yu ll have t wrk with: v v at x x
More informationSolutions to Problems. Then, using the formula for the speed in a parabolic orbit (equation ), we have
Slutins t Prblems. Nttin: V speed f cmet immeditely befre cllisin. V speed f cmbined bject immeditely fter cllisin, mmentum is cnserved. V, becuse liner + k q perihelin distnce f riginl prblic rbit, s
More informationHonors Physics Final Review Summary
Hnrs Physics Final Review Summary Wrk Dne By A Cnstant Frce: Wrk describes a frce s tendency t change the speed f an bject. Wrk is dne nly when an bject mves in respnse t a frce, and a cmpnent f the frce
More informationi-clicker i-clicker Newton s Laws of Motion First Exam Coming Up! Components of Equation of Motion
First Eam Cming Up! Sunda, 1 Octber 6:10 7:30 PM. Lcatins t be psted nline. Yes this is a Sunda! There will be 17 questins n eam. If u have a legitimate cnflict, u must ask Prf. Shapir b Oct. 8 fr permissin
More informationg r mg sin HKPhO 香港物理奧林匹克 2014 Multiple Choices:
Multiple Chices: HKPhO 香港物理奧林匹克 04. Answer: A r D. The phne is min t cnstnt elcity. The nly frce ctin n the phne is the erth rity. Remrk: The nswer is D. Hweer, since the questin sks fr "instntneus sclr
More informationCHAPTER 6 WORK AND ENERGY
CHAPTER 6 WORK AND ENERGY CONCEPTUAL QUESTIONS 16. REASONING AND SOLUTION A trapeze artist, starting rm rest, swings dwnward n the bar, lets g at the bttm the swing, and alls reely t the net. An assistant,
More informationQ1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string?
Term: 111 Thursday, January 05, 2012 Page: 1 Q1. A string f length L is fixed at bth ends. Which ne f the fllwing is NOT a pssible wavelength fr standing waves n this string? Q2. λ n = 2L n = A) 4L B)
More informationPhys102 Final-061 Zero Version Coordinator: Nasser Wednesday, January 24, 2007 Page: 1
Crdinatr: Nasser Wednesday, January 4, 007 Page: 1 Q1. Tw transmitters, S 1 and S shwn in the figure, emit identical sund waves f wavelength λ. The transmitters are separated by a distance λ /. Cnsider
More informationPHYSICS LAB Experiment 10 Fall 2004 ROTATIONAL DYNAMICS VARIABLE I, FIXED
ROTATIONAL DYNAMICS VARIABLE I, FIXED In this experiment we will test Newtn s Secnd Law r rtatinal mtin and examine hw the mment inertia depends n the prperties a rtating bject. THE THEORY There is a crrespndence
More informationSprings in parallel. Two springs in parallel. Springs in series. Springs in series. Resonance. Forced vibrations and resonance. 2 C. 2 1/2 m.
Springs in parallel w springs in parallel Suppse yu had tw identical springs each with frce cnstant frm which an bject f mass m was suspended. he scillatin perid fr ne spring is. What wuld the scillatin
More informationCHAPTER 8b Static Equilibrium Units
CHAPTER 8b Static Equilibrium Units The Cnditins fr Equilibrium Slving Statics Prblems Stability and Balance Elasticity; Stress and Strain The Cnditins fr Equilibrium An bject with frces acting n it, but
More information= m. Suppose the speed of a wave on a string is given by v = Κ τμ
Phys101 First Majr-11 Zer Versin Sunday, Octber 07, 01 Page: 1 Q1. Find the mass f a slid cylinder f cpper with a radius f 5.00 cm and a height f 10.0 inches if the density f cpper is 8.90 g/cm 3 (1 inch
More informationSIMPLE NUMERICAL METHOD FOR KINETICAL INVESTIGATION OF PLANAR MECHANICAL SYSTEMS WITH TWO DEGREES OF FREEDOM
Interdisciplinar Descriptin f Cple Sstes 4(), 6-69, 06 SIMPLE NUMERICAL METHOD FOR KINETICAL INVESTIGATION OF PLANAR MECHANICAL SYSTEMS WITH TWO DEGREES OF FREEDOM István Bíró* Facult f Engineering Universit
More informationYeu-Sheng Paul Shiue, Ph.D 薛宇盛 Professor and Chair Mechanical Engineering Department Christian Brothers University 650 East Parkway South Memphis, TN
Yeu-Sheng Paul Shiue, Ph.D 薛宇盛 Prfessr and Chair Mechanical Engineering Department Christian Brthers University 650 East Parkway Suth Memphis, TN 38104 Office: (901) 321-3424 Rm: N-110 Fax : (901) 321-3402
More informationChapter 4 Motion in Two and Three Dimensions
Chpte 4 Mtin in Tw nd Thee Dimensins In this chpte we will cntinue t stud the mtin f bjects withut the estictin we put in chpte t me ln stiht line. Insted we will cnside mtin in plne (tw dimensinl mtin)
More informationi-clicker!! x 2 lim Lecture 3 Motion in 2- and 3-Dimensions lim REVIEW OF 1-D MOTION
Lecture 3 Mtin in - and 3-Dimensins REVIEW OF -D MOTION TODY: LSTCHNCETOMKEUPTHEPHYSICS PRETEST(u get pints fr cmpleting the pre and pst tests) Where: SERC 6 (SEC 6) When: Yucanarrieantime3:0pm 6:30 pm
More informationFall 2013 Physics 172 Recitation 3 Momentum and Springs
Fall 03 Physics 7 Recitatin 3 Mmentum and Springs Purpse: The purpse f this recitatin is t give yu experience wrking with mmentum and the mmentum update frmula. Readings: Chapter.3-.5 Learning Objectives:.3.
More informationQ1. A) 48 m/s B) 17 m/s C) 22 m/s D) 66 m/s E) 53 m/s. Ans: = 84.0 Q2.
Phys10 Final-133 Zer Versin Crdinatr: A.A.Naqvi Wednesday, August 13, 014 Page: 1 Q1. A string, f length 0.75 m and fixed at bth ends, is vibrating in its fundamental mde. The maximum transverse speed
More informationExample 1. A robot has a mass of 60 kg. How much does that robot weigh sitting on the earth at sea level? Given: m. Find: Relationships: W
Eample 1 rbt has a mass f 60 kg. Hw much des that rbt weigh sitting n the earth at sea level? Given: m Rbt = 60 kg ind: Rbt Relatinships: Slutin: Rbt =589 N = mg, g = 9.81 m/s Rbt = mrbt g = 60 9. 81 =
More informationAs we have already discussed, all the objects have the same absolute value of
Lecture 3 Prjectile Mtin Lst time we were tlkin but tw-dimensinl mtin nd intrduced ll imprtnt chrcteristics f this mtin, such s psitin, displcement, elcit nd ccelertin Nw let us see hw ll these thins re
More informationQ1. In figure 1, Q = 60 µc, q = 20 µc, a = 3.0 m, and b = 4.0 m. Calculate the total electric force on q due to the other 2 charges.
Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: 1 Q1. In figure 1, Q = 60 µc, q = 0 µc, a = 3.0 m, and b = 4.0 m. Calculate the ttal electric frce n q due t the ther
More informationPHYS 314 HOMEWORK #3
PHYS 34 HOMEWORK #3 Due : 8 Feb. 07. A unifrm chain f mass M, lenth L and density λ (measured in k/m) hans s that its bttm link is just tuchin a scale. The chain is drpped frm rest nt the scale. What des
More information5.1 Properties of Inverse Trigonometric Functions.
Inverse Trignmetricl Functins The inverse f functin f( ) f ( ) f : A B eists if f is ne-ne nt ie, ijectin nd is given Cnsider the e functin with dmin R nd rnge [, ] Clerl this functin is nt ijectin nd
More informationPHYS 219 Spring semester Lecture 02: Coulomb s Law how point charges interact. Ron Reifenberger Birck Nanotechnology Center Purdue University
PHYS 19 Spring semester 016 Lecture 0: Culmb s Law hw pint charges interact Rn Reifenberger Birck Nantechnlg Center Purdue Universit Lecture 0 1 Earl Develpments in Electrstatics Tw f the ur rces in Nature:
More informationENGI 4430 Parametric Vector Functions Page 2-01
ENGI 4430 Parametric Vectr Functins Page -01. Parametric Vectr Functins (cntinued) Any nn-zer vectr r can be decmpsed int its magnitude r and its directin: r rrˆ, where r r 0 Tangent Vectr: dx dy dz dr
More informationPhysics 321 Solutions for Final Exam
Page f 8 Physics 3 Slutins fr inal Exa ) A sall blb f clay with ass is drpped fr a height h abve a thin rd f length L and ass M which can pivt frictinlessly abut its center. The initial situatin is shwn
More informationTorque and Angular Momentum
CHAPTER 10 (TRQUE, 2 ND LAW FR RTATIN) CHAPTER 11 (TRQUE, ANGULAR MMENTUM) Torque and Angular Momentum 1. Torque a. Definition b. Work, Power, W-K Theorem 2. Angular Momentum a. Newton s 2 nd Law in angular
More informationChapter 9 Vector Differential Calculus, Grad, Div, Curl
Chapter 9 Vectr Differential Calculus, Grad, Div, Curl 9.1 Vectrs in 2-Space and 3-Space 9.2 Inner Prduct (Dt Prduct) 9.3 Vectr Prduct (Crss Prduct, Outer Prduct) 9.4 Vectr and Scalar Functins and Fields
More information( ) WYSE ACADEMIC CHALLENGE Regional Physics Exam 2009 Solution Set. 1. Correct answer: D. m t s. 2. Correct answer: A. 3.
YSE CDEMIC CHLLENGE Regnl hyscs E 009 Slutn Set. Crrect nswer: D d hrzntl v hrzntl 3 345 t s t 0.3565s t d d d ll ll ll gt 9.80 s 0.63 ( 0.3565s). Crrect nswer: (-70. 0 ) ( 3 /s) t ( 4. 0 /s ) ( 4. 0 /s
More informationStudy Guide: PS. 10 Motion, Forces, Work & Simple Machines DESCRIBING MOTION SPEED
DESCRIBING MOTION Distance: hw far smething has mved; SI unit meters (m) Reference pint: nn-mving bject used as a cmparisn pint t detect an bject s mtin. Displacement: the distance between the starting
More informationThe Spring. Consider a spring, which we apply a force F A to either stretch it or compress it
The Spring Consider spring, which we pply force F A to either stretch it or copress it F A - unstretched -F A 0 F A k k is the spring constnt, units of N/, different for different terils, nuber of coils
More informationQuestion 2-1. Solution 2-1 CHAPTER 2 HYDROSTATICS
CHAPTER HYDROSTATICS. INTRODUCTION Hydraulic engineers have any engineering applicatins in hich they have t cpute the frce being exerted n suberged surfaces. The hydrstatic frce n any suberged plane surface
More information1. Show that if the angular momentum of a boby is determined with respect to an arbitrary point A, then. r r r. H r A can be expressed by H r r r r
1. Shw that if the angula entu f a bb is deteined with espect t an abita pint, then H can be epessed b H = ρ / v + H. This equies substituting ρ = ρ + ρ / int H = ρ d v + ρ ( ω ρ ) d and epanding, nte
More informationChapter II Newtonian Mechanics Single Particle
Chapter II Newtnian Mechanics Sinle Particle Recended prbles: -, -5, -6, -8, -9, -, -, -, -6, -, -, -, -5, -6, -7, -9, -30, -3, -3, -37, -38, -39, -, -, -3, -, -7, -5, -5, -53, -5.. . Newtn s Laws The
More informationThree charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter).
Three charges, all with a charge f 0 are situated as shwn (each grid line is separated by meter). ) What is the net wrk needed t assemble this charge distributin? a) +0.5 J b) +0.8 J c) 0 J d) -0.8 J e)
More informationNGSS High School Physics Domain Model
NGSS High Schl Physics Dmain Mdel Mtin and Stability: Frces and Interactins HS-PS2-1: Students will be able t analyze data t supprt the claim that Newtn s secnd law f mtin describes the mathematical relatinship
More informationForces from Strings Under Tension A string under tension medites force: the mgnitude of the force from section of string is the tension T nd the direc
Physics 170 Summry of Results from Lecture Kinemticl Vribles The position vector ~r(t) cn be resolved into its Crtesin components: ~r(t) =x(t)^i + y(t)^j + z(t)^k. Rtes of Chnge Velocity ~v(t) = d~r(t)=
More informationPhys102 First Major-122 Zero Version Coordinator: Sunaidi Wednesday, March 06, 2013 Page: 1
Crdinatr: Sunaidi Wednesday, March 06, 2013 Page: 1 Q1. An 8.00 m lng wire with a mass f 10.0 g is under a tensin f 25.0 N. A transverse wave fr which the wavelength is 0.100 m, and the amplitude is 3.70
More informationChapter 3 Kinematics in Two Dimensions; Vectors
Chapter 3 Kinematics in Tw Dimensins; Vectrs Vectrs and Scalars Additin f Vectrs Graphical Methds (One and Tw- Dimensin) Multiplicatin f a Vectr b a Scalar Subtractin f Vectrs Graphical Methds Adding Vectrs
More informationConceptual Dynamics SDC. An Interactive Text and Workbook. Kirstie Plantenberg Richard Hill. Better Textbooks. Lower Prices.
Cnceptual Dynamics An Interactive Text and Wrkbk Kirstie Plantenberg Richard Hill SDC P U B L I C AT I O N S Better Textbks. Lwer Prices. www.sdcpublicatins.cm Pwered by TCPDF (www.tcpdf.rg) Visit the
More informationMAT 1275: Introduction to Mathematical Analysis
1 MT 1275: Intrdutin t Mtemtil nlysis Dr Rzenlyum Slving Olique Tringles Lw f Sines Olique tringles tringles tt re nt neessry rigt tringles We re ging t slve tem It mens t find its si elements sides nd
More informationWYSE Academic Challenge 2004 Sectional Physics Solution Set
WYSE Acadec Challenge 004 Sectnal Physcs Slutn Set. Answer: e. The axu pssble statc rctn r ths stuatn wuld be: ax µ sn µ sg (0.600)(40.0N) 4.0N. Snce yur pushng rce s less than the axu pssble rctnal rce,
More informationTrigonometry, 8th ed; Lial, Hornsby, Schneider
Trignmetry, 8th ed; Lial, Hrnsby, Schneider Trignmetry Final Exam Review: Chapters 7, 8, 9 Nte: A prtin f Exam will cver Chapters 1 6, s be sure yu rewrk prblems frm the first and secnd exams and frm the
More informationPhysic 231 Lecture 12
Physic 3 Lecture Main pints last lecture: Cnservative rces and the Cnservatin energy: + P + P Varying rces ptential energy a spring P x Main pints tday s lecture: Wr, energy and nncnservative rces: W Pwer
More informationFlipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System
Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed
More informationA) 0.77 N B) 0.24 N C) 0.63 N D) 0.31 N E) 0.86 N. v = ω k = 80 = 32 m/s. Ans: (32) 2 = 0.77 N
Q1. A transverse sinusidal wave travelling n a string is given by: y (x,t) = 0.20 sin (2.5 x 80 t) (SI units). The length f the string is 2.0 m and its mass is 1.5 g. What is the magnitude f the tensin
More informationCorrect 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 informationChapter 2 GAUSS LAW Recommended Problems:
Chapter GAUSS LAW Recmmended Prblems: 1,4,5,6,7,9,11,13,15,18,19,1,7,9,31,35,37,39,41,43,45,47,49,51,55,57,61,6,69. LCTRIC FLUX lectric flux is a measure f the number f electric filed lines penetrating
More informationNWACC Dept of Mathematics Dept Final Exam Review for Trig - Part 3 Trigonometry, 9th Edition; Lial, Hornsby, Schneider Fall 2008
NWACC Dept f Mathematics Dept Final Exam Review fr Trig - Part Trignmetry, 9th Editin; Lial, Hrnsby, Schneider Fall 008 Departmental Objectives: Departmental Final Exam Review fr Trignmetry Part : Chapters
More informationL a) Calculate the maximum allowable midspan deflection (w o ) critical under which the beam will slide off its support.
ecture 6 Mderately arge Deflectin Thery f Beams Prblem 6-1: Part A: The department f Highways and Public Wrks f the state f Califrnia is in the prcess f imprving the design f bridge verpasses t meet earthquake
More information1 Course Notes in Introductory Physics Jeffrey Seguritan
Intrductin & Kinematics I Intrductin Quickie Cncepts Units SI is standard system f units used t measure physical quantities. Base units that we use: meter (m) is standard unit f length kilgram (kg) is
More informationLecture 5: Equilibrium and Oscillations
Lecture 5: Equilibrium and Oscillatins Energy and Mtin Last time, we fund that fr a system with energy cnserved, v = ± E U m ( ) ( ) One result we see immediately is that there is n slutin fr velcity if
More informationWYSE Academic Challenge Sectional Physics 2007 Solution Set
WYSE caemic Challenge Sectinal Physics 7 Slutin Set. Crrect answer: E. Energy has imensins f frce times istance. Since respnse e. has imensins f frce ivie by istance, it clearly es nt represent energy.
More information( ) ( ) Pre-Calculus Team Florida Regional Competition March Pre-Calculus Team Florida Regional Competition March α = for 0 < α <, and
Flrida Reginal Cmpetitin March 08 Given: sin ( ) sin π α = fr 0 < α
More informationE S dition event Vector Mechanics for Engineers: Dynamics h Due, next Wednesday, 07/19/2006! 1-30
Vector Mechnics for Engineers: Dynmics nnouncement Reminders Wednesdy s clss will strt t 1:00PM. Summry of the chpter 11 ws posted on website nd ws sent you by emil. For the students, who needs hrdcopy,
More informationEquilibrium of Stress
Equilibrium f Stress Cnsider tw perpendicular planes passing thrugh a pint p. The stress cmpnents acting n these planes are as shwn in ig. 3.4.1a. These stresses are usuall shwn tgether acting n a small
More informationCHAPTER 1 -- MATH REVIEW
Slutins--Ch. 1 (Math Review) CHAPTER 1 -- MATH REVIEW 1.1) Bth Parts a and b are straight vectr additin, graphical stle. Yu need a centimeter stick and prtractr t d them. a.) In this case, the velcit cmpnent
More informationLecture 11 DAMPED AND DRIVEN HARMONIC OSCILLATIONS. Composition of harmonic oscillations (1) Harmonic motion diff. equation is: -linear -uniform
Lecture DMPED ND DRIVEN HRMONIC OSCILLTIONS Ntes: Lecture - Cpsitin f harnic scillatins () Learn re: Linear differential equatin Harnic tin diff. equatin is: -linear -unifr d + http://en.wikipedia.rg/wiki/linear_differential_eq
More informationVersion 001 HW#6 - Circular & Rotational Motion arts (00223) 1
Version 001 HW#6 - Circulr & ottionl Motion rts (00223) 1 This print-out should hve 14 questions. Multiple-choice questions my continue on the next column or pge find ll choices before nswering. Circling
More informationFundamental Concepts in Structural Plasticity
Lecture Fundamental Cncepts in Structural Plasticit Prblem -: Stress ield cnditin Cnsider the plane stress ield cnditin in the principal crdinate sstem, a) Calculate the maximum difference between the
More informationFlipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System
Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed
More informationProfessional Development. Implementing the NGSS: High School Physics
Prfessinal Develpment Implementing the NGSS: High Schl Physics This is a dem. The 30-min vide webinar is available in the full PD. Get it here. Tday s Learning Objectives NGSS key cncepts why this is different
More informationASTRODYNAMICS. o o o. Early Space Exploration. Kepler's Laws. Nicolaus Copernicus ( ) Placed Sun at center of solar system
ASTRODYNAMICS Early Space Explratin Niclaus Cpernicus (1473-1543) Placed Sun at center f slar system Shwed Earth rtates n its axis nce a day Thught planets rbit in unifrm circles (wrng!) Jhannes Kepler
More informationWork, Energy, and Power. AP Physics C
k, Eneg, and Pwe AP Phsics C Thee ae man diffeent TYPES f Eneg. Eneg is expessed in JOULES (J) 4.19 J = 1 calie Eneg can be expessed me specificall b using the tem ORK() k = The Scala Dt Pduct between
More informationChapter 32. Maxwell s Equations and Electromagnetic Waves
Chapter 32 Maxwell s Equatins and Electrmagnetic Waves Maxwell s Equatins and EM Waves Maxwell s Displacement Current Maxwell s Equatins The EM Wave Equatin Electrmagnetic Radiatin MFMcGraw-PHY 2426 Chap32-Maxwell's
More informationPRE-BOARD MATHEMATICS-1st (Held on 26 December 2017)
P-B M 7-8 PRE-BOARD MATHEMATICS-st (Held n 6 Decemer 07) ANSWER KEY (FULL SYLLABUS) M.M : 80 Generl Instructins:. The questin pper cmprises f fur sectins, A, B, C & D.. All questins re cmpulsry.. Sectin
More informationMODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b
. REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but
More informationCHAPTER 6 -- ENERGY. Approach #2: Using the component of mg along the line of d:
Slutins--Ch. 6 (Energy) CHAPTER 6 -- ENERGY 6.) The f.b.d. shwn t the right has been prvided t identify all the frces acting n the bdy as it mves up the incline. a.) T determine the wrk dne by gravity
More informationPHYS 601 HW3 Solution
3.1 Norl force using Lgrnge ultiplier Using the center of the hoop s origin, we will describe the position of the prticle with conventionl polr coordintes. The Lgrngin is therefore L = 1 2 ṙ2 + 1 2 r2
More informationSPH3U1 Lesson 06 Kinematics
PROJECTILE MOTION LEARNING GOALS Students will: Describe the mtin f an bject thrwn at arbitrary angles thrugh the air. Describe the hrizntal and vertical mtins f a prjectile. Slve prjectile mtin prblems.
More informationME 141. Lecture 10: Kinetics of particles: Newton s 2 nd Law
ME 141 Engineering Mechnics Lecture 10: Kinetics of prticles: Newton s nd Lw Ahmd Shhedi Shkil Lecturer, Dept. of Mechnicl Engg, BUET E-mil: sshkil@me.buet.c.bd, shkil6791@gmil.com Website: techer.buet.c.bd/sshkil
More informationPHYSICS Unit 3 Trial Examination
STAV Publishing Pty Ltd 005 PHYSICS Unit 3 Trial Examinatin SOLUTIONS BOOK Published by STAV Publishing Pty Ltd. STAV Huse, 5 Munr Street, Cburg VIC 3058 Australia. Phne: 6 + 3 9385 3999 Fax: 6 + 3 9386
More information14. Which shows the direction of the centripetal force acting on a mass spun in a vertical circle?
Physics 0 Public Exam Questins Unit 1: Circular Mtin NAME: August 009---------------------------------------------------------------------------------------------------------------------- 1. Which describes
More informationThermochemistry. Thermochemistry
Thermchemistry Petrucci, Harwd and Herring: Chapter 7 CHEM 1000A 3.0 Thermchemistry 1 Thermchemistry The study energy in chemical reactins A sub-discipline thermdynamics Thermdynamics studies the bulk
More information