WB_Solution_Ch15

WB_Solution_Ch15 - ‘lSSi Fluids 1. An object has density...

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Unformatted text preview: ‘lSSi Fluids 1. An object has density p. a. Suppose each of the object’s three dimensions is increased by a factor of 2 without changing the material of which the object is made. Will the density change? If so, by what factor? Explain. The cL-ens'r‘cT gill no? Ckeflfie. TLHDMA‘A 'H’H’r “‘55 and uoluwue, ioo‘HIx tact-ease, by 23:. S'hmea, ’H’Ve'r Pox‘hb is unckannecl. b. Suppose each of the object’s three dimensions is increased by a factor of 2 without changing the object’s mass. Will the density change? If so, by what factor? Explain. ’17“ AemséLI w?“ olecrtasz, bya 43-ch 0-? B7, The, John: has t‘vxcreaseol’ ‘9; 9—328 "5"“: 9*- 1‘ ’4” m m A“ I” I m p F a W —- /8 - a 2. Air enclosed in a cylinder has density p = 1.4 kglrn’. a. What will be the density of the air if the length of the cylinder is doubled while the radius is unchanged? «DOM-Ht; (HAL baby“ ' (“hues 4—an Va (amt. The. mass 36, LA“ (is. 1,331,}? =h‘7’"%-3 enclose IS purse. 3?. o f -— 2V , .2 _._——-— 2. F I: 0.7 k—q/M’B b. What will be the density of the air if the radius of the cylinder is halved While the length is unChaflged‘? 'I—F +ke_ rec-L}.th I: halveng -H/u. Vela-w e qls de 6 #2615430f [or a -?Ac+or 9-?- L{. (The CW$S‘$¢C"1‘OJ\A{ Ore 5‘ 33 (“mks Fl: :- Stékfl/ms 3. Air enclosed in a sphere has density p = 1.4 kg/m3. What will the density be if the radius of the sphere is halved? The. uomee, oLecl'eases by ‘3 Jam-e5 50 ‘ f— If: : w //. k 3 )0 , V/s ' 8f _ 3 W 15—1 15—2 CHAPTER 15 - Fluids and Elasticity 15.2 Pressure 15.3 Measuring and Using Pressure 4. When you stand on a bathroom scale, it reads 700 N. Suppose a giant vacuum cleaner sucks half the air out of the room, reducing the pressure to 0.5 atm. Would the scale reading increase, decrease, or stay the same? Explain. The, SCALQ reacting would be. omelan 92d. fitsstaeb is a Sealer-f (AC-ethyl} he V‘LQj or.de gone, 5. Rank in order, from largest to smallest, the pressures at A, B, and C. E Order: _A;B:C F Explanatiomrflflt C[QP+L1 £90m ‘Hne. OPQJHASGJT E D is the game, -Por RJB andC, (like peesSMre Aepencis up on “H41 (Lap-Ha £90m "this opentflfl . A B C 6. Refer to the figure in Exercise 5 . Rank in order, from largest to smallest, the pressures at D, E, and F. Order: b > F7 E Explanation: ' D L‘s a++|fie betOQ—a W o‘ueniqéz : as “(ch E is aci‘ ad'moslohu-EL press-mire} w‘i‘k h Venture at“; ~11: the head. 7. The gauge pressure at the bottom of a cylinder of liquid is pg = 0.4 atm. The liquid is poured into another cylinder with twice the radius of the first cylinder. What is the gauge pressure at the bottom of the second cylinder? gecmuee flea Cmssvsegh'bflnk atron 04' “E, 5¢Cod Cylikci¢r 3.5 (fired’mr by mgkcfrbr oil (4) +14: “flu (0L gmfillér by ‘Haa Same. fic’rur_ 5?: 63k. There—Pom) {Ma AeeNaSi. in defile reducer «line, gaugc Pm; me. by 'H’LQ. same induct Fluids and Elasticity - CHAPTER 15 15-3 8. Cylinders A and B contain liquids. The pressure pA at the bottom of A is higher than the pressure pB at the bottom of B. Is the ratio pA/pB of the absolute pressures larger than, smaller than, or equal to the ratio of the gauge pressures? Explain. The, radio 05? We. abated-e {are ssur-es is Snatler.“fl.¢ absolute— ‘- C Sul‘t. @t‘esgmm 1‘3 “HM!- Qowuye fumes; are. Plus films Pherig PF 5 9. A and B are rectangular tanks full of water. They have equal depths, equal thicknesses (the dimension into the page), but different widths. a. Compare the forces the water exerts on the bottoms of the tanks. Is FA larger than, smaller than, or equal to F3? A “ " Sides B Explain. FA 7’ Ft; loacam 9a "ll/ta. batten 6-? .41.: Uta 11*. '3 A We, fpess“ re; are, cop-VA, bud“ F = b. Compare the forces the water exerts on the sides of the tanks. Is FA larger than, smaller than, or equal to F3? Explain. FR =1 . (mgr are“: 0'? ’Hfl-e. $‘\J\€.S are eqmqk O‘KGL The pressure 0% any SQEA (32le (5 ‘Hna Same {Zoo ’06ch 55‘ wt ’12:. 10. Water expands when heated. Suppose a beaker of water is heated from 10°C to 90°C. Does the pressure at the bottom of the beaker increase, decrease, or stay the same? Explain. 'Tlrxe. (pressure. sfiys “We, Same, AH’Haosk 'qu, Asap-HI} Incmases/ 'H’KQ. (£ZIASH‘7 W\m.§"\' also decrease— , (“at +o+a\ Mm;s ‘5 canshn+ as 1: Jam enema1 at“! «to up, waxslqs— oi?— ‘H/Lex'k' mass. 11. Is pA larger than, Smaller than, or equal to p3? ‘55 (PP: 5' (‘28. The, P‘f‘E-SSLar'fi is disfii-‘ahlfal 15-4 CHAPTER 15 - Fluids and Elasticity 12. The container shown holds a mixture of oil and water. To begin, the container is shaken vigorously to mix the oil into the water by breaking it into very tiny droplets. This is What happens when you shake a jar of salad dressing. Eventually, the oil separates and rises to the t0p. Oil and water are immiscible, meaning that the total volume is the same Whether they are mixed or separated. The pressure at the bottom of the container after the oil has separated is not the same as the initial pressure when the oil and water are mixed, although it may take some careful thought to understand why. Is the final pressure at the bottom higher or lower than the initial pressure? Explain. The. 7%?14l frasswu: is less. Tine. nacho“? +ke. cauthi‘mzr will I‘M—Hail? '92. i-illeal qui‘Lx an o'il ' wetter mix'UL/Lre, 0n ca ‘i‘he. oil (“$65, 'H’le. {flex-5(- {OCCOMES Hliéol Onir wH'lq o—IL - 71W. S‘lAaPe, 01D“ +Iflfl— iA‘i'lAisCoLSL lecith +0 +lI\L again-1A [O'HAMA MKJ‘LMS 01‘ Seflm—fifls ‘H—m be'iufc, (emit-a.) Gemini-mer- 0‘. Sheath? ?Mcer\'lh82. 0'? «(—0 h Louie;- PMSSure, 13. At sea level, the height of the mercury column in a sealed glass tube is 380 mm. What can you say about the contents of the space above the mercury? Be as specific as you can. m Marathi—oi? Vngd mg,er Column '13 \Aosl'l‘ Womick l/tadt {El-tan '1‘? ‘HAL SPacc. abWe Were complei-elr emerald. (Tl/ms, he, gPace is ukderox PNSSMN. 0‘? 0.3'oci'm, Cl octm : 760mm H3) Fluids and Elasticity - CHAPTER 15 15-5 15.4 Buoyancy 14. Rank in order, from largest to smallest, the densities of A, B, and C. os— ;+.s «clam as,” fine Hack lead. I The. least Aensz. "Plead-s Wi‘l‘lrx Weimrcaes'l' Rad-1;,“ ohd—S‘Johme 039009, We ‘Huxfot lédel- 15. A, B, and C have the same volume. Rank in order, from largest to smallest, the sizes of the buoyant forces FA, F3, and PC on A, B, and C. Order: FA : FB = Fe Explanation: (Bacon-nae. Mae—The, Same \ffltmm-fl/ WT Gad-x ACsplacL “HIM. Same. Volume, oi" “Fiat-u; Quad expenseacc. We Sauna. busy-om”? 4-Day?” gala. l.'br}um urban-reflux forch no?L sham, (No?— fivfi M Sill-94mm ’u. not a, 16. Refer to the figure of Exercise 15. Now A, B, and C have the same density. Rank in order, from largest to smallest, the sizes of the buoyant forces on A, B, and C. Order: F fl : PC > F3 E 1 ti : ‘ KP am on I 1} Haga- (Lanai-hes are “We some; ashr- moxss' Omicu MKS+M\SO OCClltpy O; A card. C out“ exfen‘encc, 0g, lunar- ‘ 'H/‘Lr/L +1"; wgflfi \r-{t'Hfi Gare \arraec volume, Thus, ‘9ka amt “gas-ca flows?) . 15-6 CHAPTER 15 - Fluids andElasticity 17. Suppose you stand on a bathroom scale that is on the bottom of a swimming pool. The water comes up to your waist. Does the scale read more than, less than, or the same as your true weight? Explain. “z, Sade Hamil 1355‘ Won You; hug, “We. Feeds The Vtor'wml {lone newt-cl +0 QquOr‘l' your SC la ‘ A bd‘ I; Wfltcbl/d’l loud" in 'H’\£ swimm‘wm Poo\, yomr was P“ “Y Support-9i \oY 'H/Ue. bum/Arvi— %ar\¢gt 11m. “ormhthgbrca Regime! —Fr‘om+hs. SmLe (3 re dkceol. 18. Ships A and B have the same height and the same mass. Their cross section profiles are shown in the figure. Does one ship ride higher in the water (more height above the water line) than the other? If so, which one? Explain. A B Refill Flake. {eécams-efl flee ‘ Mflw ‘0 “‘0 0'9 Mgr ‘ h eeAs 0‘ H: at low“ Mews. Lxess 949 As eel mgwr n 90 M +0 04 +0 ‘ C ht 4pm” efiUL ‘06. Submarfiii +0 Gksle-e (A we 5 a WNQCSLA‘ OQ‘HAQ— SLH‘D. Fluids and Eiasricity - CHAPTER 15 15-7 15.5 Fluid Memories 19. Gas flows through a pipe. You can’t see into the pipe to know how the inner diameter changes- Rank in order, from largest to smallest, the gas speeds v; to 123 at points 1, 2, and 3. Order: 1/2 3 y, > 1/3 Explanation! 93:5 ’HaL SPleo‘Q increases, +Lxe Pressun I.5J\ea(uced( Hm FUR/K to rise, Mng atrium sprees“; Pais‘fist a 20. Liquid flows through a pipe. You can’t see into the pipe to know how the inner diameter changes. Rank in order, from largest to smallest, the flow speeds v1 to V3 at points 1, 2. and 3. Order: 1/3 > y, > Va I ‘ Explanation: AS .14“; SPicJ all—fig ¥Mid increases, 'l‘Lze. (arena-re. t5 reduced: _ 21. Liquid flows through this pipe. This is an overhead View. 3. Rank in order, from largest to smallest, the flow speeds vi to 124 at poinm l to 4. Order: L}‘ ‘> \]Z : Us > U‘ Explanation: wasp-Cam‘k—Speegl, OCeur-s LIOLL‘QPQWL cross-Leghorn“! arena [5 QMHuT So 1‘Lm‘r HM. 56.an volwwe $1,“, Ply-T b. Rank in order, from largest to smallest, the pressures p1 £0174 at points 1 to 4. Order: (PH 7 P2 -_~_ F3 5 'l?‘ Explanation: We, 3 P e A Rg+ Pm: l 3 1. East » sum-9- OKPPLw—s Wk“ a" ‘HAL Hob) Stud 22. Wind blows over a house. A window on the ground floor is operz. Is there an air flow through the house? If so, does the air flow in the window and out the chimney, or in the chimney and out the window? Explain. (fl'w— ?N$5ur—115 “cancel OS} W C(Attzflk‘fivl clue, ‘70 “HAIL aTr-Hoe), Thus‘ 'Hae 911:“ Win. fiat—U [K owl +he elamoMY, Q’Mg u} 0-“6Q 15-8 CHAPTER 15 - Fluids and Elasticity 15.6 Elasticity 23. A force stretches a wire by 1 mm. a. A second wire of the same material has the same cross section and twice the length. How far will it be stretched by the same force? Explain. The. S QCONi wit-z. w?“ 109.. s’l‘ra‘i'tlnetK ‘97 E?- ”‘E. {Gaga-gag 'l’ke, amok-«'1’ O‘P- S‘h‘z'i'cin‘tnfi is ?00Porfi0nm\ +9 ‘th.¢_ iflnfi'flfi 0'5" “the; Fwtr:_ ? -Y ALzfi-E— sobdzflg‘qsgfél‘: %>L " A 'r b. A third wire of the same material has the same length and twice the diameter as the first. How far will it be stretched by the same force? Explain. if! fime: N 112’} gamut” “We, msr—secfiena/Mq 1‘; m‘creamx by A Hm, dimme—[Qr- is elm/Joled, HM. strafdninfi w‘Tll ‘92.. \/¢( as raw: wef— L - M « 13:21 or“ {VIA-sinf‘? , tifm 24. A 2000 N force stretches a wire by 1 mm. a. A second wire of the same material is twice as long and has twice the diameter. How much force is needed to stretch it by 1 mm? Explain. ‘ - ' {en 1% (gettaus; ’H/L-L Cf‘vSS‘r Sechona{ area Increase: 57 975mg? {35% file. . 5 {is only footy-Ml, a. ‘Force o-P 2 XstoooM : ,5 f‘éthi‘96‘(, - AL .- FsA‘IAE F’r’fflfaa 2F b. A third wire is twice as long as the first and has the same diameter. How far is it stretched by a 4000 N force? 1: + E 3 This;ch by (Ml ,, F L 511’?“ 2:?“ :fi'AL 25. A wire is stretched right to the breaking point by a 5000 N force. A longer wire made of the same material has the same diameter. Is the force that will stretch it right to the breaking point larger than, smaller than, or equal to 5000 N? Explain. The longer wine “fill misc (oped: 061‘ 5000 M. We iflar‘cg Pef‘ owes» is “the. Sam/U2. in loo—HA cases. ‘ 26. Sphere A is compressed by 1% at an ocean depth of 4000 m. Sphere B is compressed by 1% at an ocean depth of 5000 m. Which has the larger bulk modulus? Explain. gpl’xere (Q: has or Kocrcapr bulk. MOCLV‘LWS becfiuse 3—1- «lrmvces o. area-ref Pre sswa (great-her- oleP—Hq) +0 compress i‘i‘ by "(line Same; 494%“:th . ...
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This note was uploaded on 02/02/2009 for the course PHY 243 taught by Professor Graff during the Fall '08 term at Michigan Flint.

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WB_Solution_Ch15 - ‘lSSi Fluids 1. An object has density...

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