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WB_Solution_Ch05 - 5 Dynamics 1 Motion Along a Line 5.1...

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Unformatted text preview: 5 Dynamics 1: Motion Along a Line 5.1 Equilibrium 1. The vectors below Show five forces that can be applied individually or in combinations to an object. Which forces or combinations of forces will cause the object to be in equilibrium? «I— .3.) all. A J 3* r9 0" Feel-:6 l' "115 '2. Are the objects described here in static equilibrium, dynamic equilibrium, or not in equilibrium at all? Answer Static, Dynamic, or Not. a. A girder is iif ted at constant speed by a crane. Mm b. A girder is lowered into place by a crane. It is slowing down. L c. You’re straining to hold a 200 pound barbell over your head. L d. A jet plane has reached iLs cruising speed and altitude. Am. e. A rock is falling into the Grand Canyon. L If. A box in the back of a truck doesn’t slide as the truck stops. m..__N°r— 5-1 5-2 CHAPTER 5 ‘ Dynamim I:MuionAlongaLinc 3. The free—body diagrams show a force or forces acting on an object. Draw and label one more force ( one that is appropriate to the situation) that will cause the object to be in equilibrium. ." ‘1- l ‘5 $1 4. The free-lmdy diagrams show a force or forces acting on an object. Draw and label one more force (one that is appropriate to the situation} that will cause the object to be in equilibrium. 5. Write two or three sentences explaining why you agree or disagree with the statement: “Forces cause an object to move.” . 0-- abju'l' 4-9 MOW‘GI bud" An clued" A lore... mew-fil- a shin“; 1m. “to-n “ulna? km?! an? "as ac‘l‘na on rt. Fonts cams!- clruuaaci in Ilse-“Oh 3 imludu‘a, flat. chem); Win b‘\:‘? 00* :{:+: ‘90-“ In “fin.fir {pen-trig. "12-1-15 our!" 14‘... Mo 04‘ c"""""‘.}'- l‘“ vii-9'53.“ Hat-“l" IMO-“’6'". 6. If you know all of the forces acting on a moving objecL can you tell in which direction the object is moving? If the answer is Yes, explain how. If the answer is No, give an example. l‘lO. I}: You ill-now a“ ghlfim 'H-IA You “"0 'Hme d{n¢.di0n or? flu— nccduflien , m‘l‘ 1'an “WM. For- etc-“Kr“, ans-r a. “ct“ {gr-w guru-Pug If? SPJ Forum-«9 must by M- 9» km, at “u '7? :2"th mouths) _ 1. “-9 (9" bofiuufl‘i? Shaina fies-in or no‘ If“. 0* mush—A— 99452. Dynamics It Motion Along a Line . {f HA PTE R 5 5-3 5.2 Using Newton's Second Law 7. a. An elevator travels upward at a constant speed. The elevator hangs by a single cable. Friction and air resistance are negligible. [s the tension in the cable greater than, less than, or equal to the weight ot‘ihe elevator? Explain. Your explanation should include both a free- body diagram and reference to appropriate physical principles. Bee who. 'Hn-L {ieh'h’f‘ u Ao‘i‘ Mutter-adios), fl“, “‘1' For-1: & ' I ‘1— yum-9+ ‘0‘- ur—o‘ Turn-"we. Ha. haven 6mg ‘4‘“ t: 04: ' ' dinehvfl- . \ “‘Q a 9:112. W“ M.~T‘ loc L‘w-\\n (haunt—ink “‘ PP ”f' if: h. The elevator travels downward and is slowing down. Is the tension in the cable greater than, less than. or equal to the weight of the elevator? Explain. BECam'l'lv-V- filQW‘i‘Dr- C5 skewing JON-Int!“ acc£l£QETvL {a He- OHOs'fic. ands“ ‘Yrom ri-s Me‘hon . 119:: 519A, Act {zone OA'H—l- 4.14mi»:- Ls “Farm-J moi its as . ‘ L. . T L: ‘3'- ed-u— ‘Hno-n ‘Hfl- V‘M‘S + q. (a) Exercises 8—9: The figures show free—body diagrams for an object of mass m. Write the x— and v-Components ol‘ Newton’s second law. Write your equations in terms of the. magnitudes of the threes F1, F 3. . . . and any angies defined in the diagram. One equation is shown to i]lustrate the procedure. .‘I I i Fr mar : F} max 1 F3 (0563 " E CO56I mm. : Fl — F3 mo‘. : Ft fitne' +173 Stu-95— Fa. 5-4 CHAPTER 5 - Dynamiw 1: Motion AlongaLine 9. max 2 F3 cos 6‘3 — F4 may 2 Fl *FS 5'“ 9'3 ‘ F2. Exercises 10-12: Two or more forces, shown on a free-body diagram, are exerted on a 2 kg object. The units of the grid are newtons. For each: ° Draw a vector arrow on the grid, starting at the origin, to Show the net force 126:. - In the space to the right, determine the numerical values of the components ax and 0).. 11. _| -osfl ‘- gr"- -- fl-t N a ‘ " a 2"th l l ) “5 at‘ “L (3“ 4:0 " 0'5 ’5‘ 23-3 12. a = ’L (afl-lfi‘g’h: [S 55" “y: J- Llfl+2M-‘3N): O 95.1. 1“: DynamicsI:MotionAlongaLim - CHAPTER 5 5-5 Exercises 13—15: Three forces Fl, {32, and F} cause a 1 kg object to accelerate with the acceleration given. Two of the forces are shown on the free-body diagrams below, but the third is missing. For each. draw and label on the grid the missing third force vector. 13. a = Zimfsz 14. ii = —3jml's2 UN) 15. The object moves with constant velocity. . . -:- ’ ”PM .31: 5 16. Three arrows are shot horizontally. They have left the bow and are traveling parallel to the ground. Air resistance is negligible. Rank in order, from largest to smallest, the magnitudes of the horizontal forces F1. F3. and F3 acting on the arrows- Some may be equal. Give your answerin theform A>B =C>D. '31—;- 10 mfs W 9 m 9 m 303 30g 9—H Order: l: 2: 3 Emlanation: AF‘i‘C-r luulwu‘) '“u. how, Wt. etc-c. no in. rand-hi i‘onu "It dc. wows Lntfilu-‘hasa Only -Por'u. on fiv- mods U414. cit-0H“ Hull. 0'? «arr-J31 . 5-6 CHAPTER 5 - DynmnicsltMocionAlongaIAne Dynamics l: Motion Alongaline - CHAPTER 5 5-7 5.3 Mass and Weight 1?. Decide whether each of the following is True or False. Give a reason! a. The mass of an object depends on its location. Riki- M065» as Jllungflmm‘l‘hl ”first-47 ‘Hwt‘l Ska-'5 k0“, an channel" (45 Panels 1'0 a. 99:16. 0. Mass and weight describe the same thing in different units. False - Noah? 15 0; F99“; mass am, 50 Nina Juanita-gall, &t$¢¢"fl‘t. “can“? Mc; “'Jfi‘3 4‘ M 5"“. .-P ail-u"; .17. '18. An astronaut takes his bathroom scales to the moon and then stands on them. Is the reading of the scales his true weight? Explain. - ~ ‘ The Scalfis tar-Ill m9. I'M-S Mtg-f? 9" “‘- MGO" . TLC-f a.” sac-t null. 4d»- m45k+ +k-rt- he to,“ M £...-+|-\ . 19. Four balls are thrown straight up. They have the same size. but different mass. Air resistance is negligible. Rank in order, from largest to smallest, the magnitude of the net force acting on each ball. Some may be equal. Give your answer in the form A > B 2 C > D. 2033 Order: 4 > 3:. 27 l Explanation: 1. ' aim \ M... w:- ‘l'oW- ‘5 P ‘ {Wines “ ‘7 TLM‘e'“; “ m“b“3 l5 da- M‘Kss 3PM2;“) .4: “.- Maud. law-c1. 15 i“- SW’“ “'5 9” 5-8 (HA PTE R 5 . lb’namics 1: Motion Along a Line 20. The terms “vertical" and “horizontal” are frequently used in physics. Give operariona! definitions for these two terms. An operational definition defines a term by how it is measured or determined. Your definition should apply equally well in a laboratory or on a steep mountainside. Vet-«ml chunk deg-mull by ‘l'La. UM Os Plumb Ion-b Make; Mun-“inc; clown elm-I. h 04mm”. cfltfihGol '97 ”Fin-l. 5%,“ch 9+ 0‘ Ii'quig! ' lac. H'Dr'l‘flnhk Cm babble l-cw-l. 4P1”- J3“... ha. “Lag: o‘l'ui'l': filmmaker or by Ming, 9-. 2 l. Suppose you have a jet-powered flying platform that can move straight up and down. For each of the following cases, is your apparent weight equal to, greater than, or less than your true weight? Explain. ID : “Rm-1- Musk" a. You are ascending and speeding up. w 1-. h“; ”flaun- J WAN“ V I») mm*?orr-¢- MH'H" WM' n ‘ .. "' 0&70 b. You are descending and speeding up. . h (a) >WfifP TLI- nfl'firm 5.1::an- , Ox, 4 0 "° c. You are ascending at a constant speed. 3 I») 7 '13qu 'To slow (ls-own ‘Mne'l‘ for“. Mad? H localifosfi-L 1"»: when . is e. You are descending and slowing down. we" 5% ‘i w Wad ‘l’oru— '“ Joe-Jo Mina-£5 +0 $10“ l . .. wktkmooivgobw“ 0.3430 “we Dynamics 1: Motion Along a Line - C HA PTER 5 5-9 22. Suppose you attempt to pour out 100 g of salt, using a pan balance for measurement, while in an elevator that is accelerating upward. Will the quantity of salt be too much, too little, or the correct amount? Explain. You. will 91"“ ?our Hm. correct amoun’l‘. (Una-ask ‘HNL Augean-«*- minkfi' is (“Cd-Caste! Tu 'H-a. dew-do! (“3th medial Leno-h: pour-3 i190 li‘i‘i‘ie. (in m 9Pf'iv13 Static)! Han. Pawn, bio-lance. camper-cs “-0. mass 0-? #14. SnH' finwr—«efi W'i‘l‘k (“LL MAI: 0&5. lane-Jim 1003 95”. (Bark wastes area-Hes at 57 (”LL acc-el-e adieu. Jud-La. sane-.517 23. A box with a 75 kg passenger inside is launched straight up into the air by a giant rubber band. After the box has left the rubber band but is still moving upward: a. What is the passenger's true weight? 0.); W3 = 19.3 (ms—“go =- 135?! b. What is the passengers apparent weight? .2 e {-0 0*?!) . = (J (I‘LL passe-m5.” CS aecdem‘hn5 H's-3% &y = “Q . Wino 9. , :- l“ "3. : L) 1" I) F O - 24. An astronaut orbiting the earth is handed two balls that are identical in outward appearance. However, one is hollow while the other is filled with lead. How might the astronaut determine which is which? Cutting them open is not allowed. 11.ng MQHJL +0 act-2.1m“: OWN-Obj”!- t's ffofor’i'law~l shoal-J" Mods. (15.: max). flus’m Qffi'ofloun‘i- “mob, M,“ lA‘QJ-w ‘0 u '5 in Um AND wh'tcfix L3 -%IL¢& tara'Ls L-ea-Ca in), {N ‘ a. t o ' cc-Qden‘i‘f. “fil‘ A. Skull-“AS ZarJfi or“ Canaan-‘5 excl-x +0 0- ‘ C sl'Ln- afoc.‘ {liar-cg. (TLL $.ch retina-0A ha a telm‘i'L deluge...“ is its; ch44. +D'i‘i3 [0‘3" ”as: 5-10 CHAPTERS . Dynamicsl:MaionAlongaLine '25. Suppose you stand on a spring scale in six identicai elevators- Each elevator moves as; shown below. Let the reading of the scaie in elevamr n be S”. Rank in order, from largest to smallest, the six scaie readings St to S6. Some may be equal. Give your answer in the form A > B = C > D- :j: Steady 5pc er] Falling _ '_ at‘Jfim‘s" Order: 5| 3%: 5.. >S3)ss.? $6 Explanation: PM Sc-Je ranging reach Your gaping .- ' . n1" Okefuufls “1‘9" ‘HM. maam'i'web 0.4.82 dung-hoax 9?- yo "4:: mtg-or, .414th Cases l, 21 «J “( muclm‘hon HAY) m'i‘ your SP-U-fi- 3 “a“ 1"}: . Case. RU Mich”. calms-k “Paar-Q «£44404. «5 . 5- ‘!qu less ‘u‘w‘ to“ 17: M; e E ~HM. Sue-(e resea‘fi um . PC“ I Dynamics 1: Motion Alongaline - CHAPTER 5 5-11 5.4 Friction 26. A block pushed along the floor with velocity in slides a distance d after the pushing force is removed. a. if the mass of the block is doubled but the initial velocity is not changed, what is the distance the block slides before stopping? Explain. Whlmkufll wot... Hat sanctum“. A. TIM—M1130 4291'“. ’15 Profornbml "1'0 Ha.- mass, but block's response. i" M‘h-goru is also ?Fofor'hhvs~l h it; mat”; So 1-]... acceleration 1.5 H» Swat. b. If the initial velocity of the block is doubled to 217‘, but the mass is not changed, what is the distance the block slides before stopping? Explain. ”TL... him-Jo mu shat “Atom“, q, ‘4 d. “gem“; flame “i5 MWaflcgfl‘l- will +£11- fury)... die-11"“ +5 lose. fut“). {L1 uekaefiu’, 3mm ”flu. aver-cage \KloethY is 0450 doubled)? 2?. Suppose you press a book against the wall with your hand. The book is not moving. a. Identify the forces on the book and draw a free~body diagram. *7- i Thl’m“, “the: 0 1-K F; Fpnsh.” n a a 9&5“! _ o W El = $5 " "° " b. Now suppose you decrease your push, but not enough for the book to slip. What happens to each of the following forces? Do they increase in magnitude, decrease, or not change? fimh Atcnases .3) flame ,3 decreases J: Same. cl ecreasas film 5-12 CHAPTER 5 - Dynamics [: Motion Along aLine 28. Consider a box in the back ot'a pickup truck. a. If the truck accelerates slowly, the box moves with the truck without slipping. What force or forces act on the box to accelerate it? In what direction do those forces point? +r “(J‘— c h. Draw a free-body diagram of the box. Y .. fl 0. What happens to the box if the truck accelerates too rapidly? Explain why this happens. basing your explanation on physical models and the principles described in this chapter. $1“; +ke. gender-Moo 15 W1 lac-31 ‘hum'd' Mr requn. O~ Ii'uoze. «M‘Hhe. box. («flan saw-e ofliMc‘hbn 'i'imti' QKC£¢4Q$ +1“— vua-gimm Force "Ha-1’ Cam in. proud-not b7 rh'hc. ‘P'rt.c.-l'lbn’ :5 : M5, ha: I“ Hi“; Case, +1.1:— ‘vlo all. will MW“ ‘kha +0 rgmgin tiq Platte. win-Ll.- Owl- Q‘NW‘ unJAFKe-rflvx'alr Uta hackuorols ) mix-wk mall acctlmm “in; 7+ +0 “Hg".‘l-u Sll‘Je Dynamics l:MotionAlongaLine ‘ CHAPTER 5 5-13 5.5 Drag 29. Three objects move through the air as shown. Rank in order, from largest to smallest, the three drag forces DI, D2, and D3. Some may be equal. Give your answer in the form A > B = C > D. Order: D171); : '93 . 1 , '1 Explanation: “5M3 PD: 11!. R U1, +Len Pr; : 0'06"}! A1. = 0,0491 , fig—0.0"!“ gm— ‘4’“: Ufggelcg—l: we vg‘eterg So v,:.s‘v~,’o.:.%nt b3 =I$6N' 30. Five balls move through the air as shown. All five have the same size and shape. Rank in order, from largest to smallest, the size of their accelerations al to as. Some may be equal. Give your answer in the form A > B = C > D. 503 ”mg 50g 100g lvlflmfls Just released Just released v=-20 THIS i v = —20 11118 50 g 1!:0 v=0 Order: as) (31.:(,‘;‘1_>(1,f 7Q; . Explanation: 0‘5 is care-Heed" Mac-me; loo‘i'l-x “Hate .alrua guru. awg Quart]: 0Qothv-FOJ'J-a 11,-:otz: -3 beam +M'ts no dmg‘i—‘vrefh :1 . “Thelmaeara. is m+ proporhaml 41H»; “4““ 5" Macae—[m M :5“; loan ct is %WAW Hum was? lead a seam “an. expm 1‘an Sou-hul- olrota for-u. «~52 balk ‘4 EXPO—ruewm 9!. care-Hf ca mdfii‘llmi £01112. 31. A 1 kg wood ball and a 10 kg lead ball have identical shapes and sizes. They are dropped simultaneously from a tall tower. a. To begin, assume that air resistance is negligible. As the balls fall, are the forces on them equal in magnitude or different? If different, which has the larger force? Explain. 5-14 CHAPTER 5 - Dynamics 1: Motion Along a Line b. Are their accelerations equal or different? If different, which has the larger acceleration? E1321 Explain. (“mums-N «LL {torus all firth-J5“? is 10 *{MQ’ larfi-nu— on‘fi‘LI. [014$ [Causal kin-ll, H‘s r-csns'llnuu d‘b acfielm—fi‘“ Clnefh“3 {S also to 41m fiMaW.C—MQ:-Mat or" cur-*3 'FDr- Lao-HQ c. Which ball hits the ground first? Or do they hit simultaneously? Explain. 3mm . ' AM he: bf" Th. loos“: ctr—c Ampp-eJL 03"“st 711w. '9'va s e 5 wi‘Hm ‘l’Ln. {AM—0. nccelm'hbon _'1_LQJ‘£+ur-0_’ ‘H-JLYIQMQ afil' VH—LS'ar-tc'hH, d. If air resistance is present, each ball will experience the same drag force because both have the same shape. Draw free-body diagrams for the two balls as they fall in the presence of air Igsistance. Make sure that your vectors all have the correct relative lengths. [a ,3 b ‘l (EL-OHS ‘ 3m par-"T a. below) .3 to e. When air resistance is included, are the accelerations of the balls equal or different? If not, which has the larger acceleration? Explain, using your free-body diagrams and Newton’slaws. mum; but has or arcd-er «cedar-Khan. (BCCmm Hun. 6.133 force. is TnMaQ-EA? a? H... wassf'i‘i-wlll ‘ ‘ an a-p have, less filled- I'n Maine‘s-t3 'Hr-o. owe-film'ho‘n Aue‘l-u «hour I ‘I " IF 0-- lLJ'Dl m \{atolx ball. My.“ mum,“ Scams! L...) Ian. “J - M .. aha}? : 3,%. Tiny”. MimraJI-l‘ Masra-Q'*LLLea& ball v1 m “balm 0'? *‘Lac-cc-e (”I—ltkr lama (.1 l-Lataes ”n: A Smaller c ‘0 (902893: ‘:r-r'¢SlSW). f. Which ball now hits the ground first? Or do they hit simultaneously? Explain. ml‘CA-DS ‘9...“ at“ [113+ 1H,.“ am“..&_%r3+ began-6'8 "‘4: has 0.. (a pea-Rf— Mafia-them. accelem‘h'bu _ 5.6 More Examples of the Second Law No exercises. ...
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