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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 cLens'r‘cT gill no? Ckeﬂﬁe. TLHDMA‘A 'H’H’r “‘55
and uoluwue, ioo‘HIx tactease, 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 43ch 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? «DOMHt; (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_ recL}.th I: halveng H/u. Velaw 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 Jame5 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 Sealerf (ACethyl} 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 (LapHa £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'moslohuEL pressmire} 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 15 153 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. abatede {are ssures 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, copVA, 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'? ’Hﬂe. $‘\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, AsapHI} 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‘ESSLar'ﬁ is disﬁi‘ahlfal 154 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. iilleal qui‘Lx an o'il ' wetter mix'UL/Lre, 0n ca ‘i‘he. oil (“$65,
'H’le. {flex5( {OCCOMES Hliéol Onir wH'lq o—IL  71W. S‘lAaPe, 01D“ +Iﬂﬂ— iA‘i'lAisCoLSL lecith +0 +lI\L again1A [O'HAMA MKJ‘LMS
01‘ Seﬂm—ﬁﬂs ‘H—m be'iufc, (emita.) Geminimer 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 {Eltan '1‘? ‘HAL SPacc. abWe Were compleielr emerald. (Tl/ms, he, gPace is ukderox PNSSMN. 0‘? 0.3'oci'm,
Cl octm : 760mm H3) Fluids and Elasticity  CHAPTER 15 155 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. "Pleads Wi‘l‘lrx Weimrcaes'l' Rad1;,“ 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: (Baconnae. Mae—The, Same \fﬂtmmﬂ/
WT Gadx ACsplacL “HIM. Same. Volume, oi" “Fiatu; Quad expenseacc. We Sauna. busyom”? 4Day?”
gala. l.'br}um urbanreﬂux forch no?L sham, (No?— ﬁvﬁ M Sill94mm ’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 (Lanaihes 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 “gasca flows?) . 156 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 newtcl +0 QquOr‘l' your SC la ‘
A bd‘ I; Wﬂtcbl/d’l loud" in 'H’\£ swimm‘wm Poo\, yomr was
P“ “Y Support9i \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. {eécamseﬂ 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 Gkslee (A we 5 a WNQCSLA‘ OQ‘HAQ— SLH‘D. Fluids and Eiasricity  CHAPTER 15 157 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. (arenare. 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: waspCam‘k—Speegl, OCeurs
LIOLL‘QPQWL crossLeghorn“! arena [5
QMHuT So 1‘Lm‘r HM. 56.an volwwe $1,“, PlyT 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 » sum9 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 aTrHoe), Thus‘ 'Hae 911:“ Win. ﬁat—U [K
owl +he elamoMY, Q’Mg u} 0“6Q 158 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 witz. w?“ 109.. s’l‘ra‘i'tlnetK ‘97 E? ”‘E. {Gagagag 'l’ke, amok«'1’
O‘P S‘h‘z'i'cin‘tnﬁ is ?00Porﬁ0nm\ +9 ‘th.¢_ iﬂnﬁ'ﬂﬁ 0'5" “the; Fwtr:_
? Y ALzﬁE— 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“ {VIAsinf‘? , 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/LL Cf‘vSS‘r Sechona{ area Increase: 57 975mg? {35% ﬁle. . 5
{is only footyMl, a. ‘Force oP 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. arearef Pre sswa (greather 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.
 Fall '08
 Graff
 Physics

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