Quiz3_Solution

Quiz3_Solution - Quiz 3 Monday February 11m 2008 PHY 252 So...

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Unformatted text preview: Quiz 3. Monday, February 11m, 2008 PHY 252 So 1. U'TIOIU Name: 1. Identical-size lead and aluminum cubes are suspended at different depths by two thin wires in a large container of water. a. Which cube experiences a greater buoyant force? (1 point) The. buodan‘t force depevals. on like Volume o-S- displaced waiter, Lolath is the same for both. Cubes, The. buogaut jar-:95. are l‘deu‘bl'c.¢(, . 7“ = b. For which cube is the tension in the wire greater? “Tension == wequa't of; Mass -— lanai-14nd: force "The heavier Mass] lead.) glues the greater tens/om it" since the ioWan't'fOr‘Ceé are £119 same 0. Which cube experiences a greater force on its lower face? (1 point) *4 The. lower cube has the greafef-force. Fate " PXA = (P.+ng)fi. The. M Chaise L04 iLe .Lo-fiei-L. h— 63515th d. For which cube is the ifference in pressure between the upper and lower faces greater? PW :- pfl ALL wt.“ Ar = %@4filaaq(lpoint) beanie-m, war MJ. ,(ecoer Surf-:1 ofwcdg Sum-(.2 :Hq, auLeAMtLaSWJ LotLasm, F0 2. A cable, of density pc and cross-sectional area A, is suspended vertically in the ocean (density p0) to a depth 11. Derive an expression for the tension in the cable as a function of depth z, where O S z 5 h. Tension = wéGL-t gig cable Below 2 -- bubdau'tjforce an allele lac-glow 2 2:}: :: mass of Cable belowz x5 — displace»! Mass ofwd‘erloelowz. 23 :: flaw-2h “PORCH-1):? T62) = AflCk-2)(Pc-pa) fir. -‘- Ulla»; 11.21) tCMLLM ::=O/ $14,144 Um P¢=Pa / FEWJ»: :0 Si—Ma :é-Le (.4194: ami-jloa‘éi'uj Quiz 3. Monday, February 11‘“, 2008 PHY 252 3. The diagram is of a horizontal tube with a circular cross section everywhere and a radius of 10.0 mm at the left and right ends, A and C. The tube narrows in the middle, at B, where the cross sectional area is reduced to one-quarter of that at the ends. Water (incompressible) flows out at C at a steady horizontal velocity of 5.00 m/sec. You can assume that there is steady, non-viscous, laminar (streamline) flow everywhere. The diagram shows the tube and the streamlines. 5‘00 W560 1 Continuity: -d—V = Av Bernouilli: P + pgy + E pv2 = constant dt a. What is the velocity of water at the input end A? (1 point) no t amid-Ki _: afiuz :: AC1”; : AAA}:z Az=HA) cit AL \ “ u}:u-;_= Sioomise¢ b. What is the velocity of water at B? (1 point) At 3/ :Hm. Wto i6“ fl—am=eae=r4m =2 Ua=Aevz = aria—9+ Ji- - +715 c. If the pressure at A is 3,800 torn, what is the pressure at C in pascal? (1 point) (A merciful hint: latm = 760 torr — you should know this!) ram EMM'S SIM-u. {-36:39 thfiu)motvhzvc t‘. 9c: pA- ' p4 = aaootc-er (div-4 x ins-P4 : KXIDSIPa. % ?60fafl in. 54:044. (1. What is the pressure at B? _ (1 point) Use gamma 5,, = 3,, _ pp, + 35pm? = F‘s-tip”: 2 pvipczwc)‘ 1 pfi-ri-pv: : P3 +8911: (51m. 7),, =14) P5 = PA - $2597): '. pg =5‘lDEPa "‘ 15x Ciaookjlmflx (Suds)!- = 312:500 Pa. 3 3424b“ _* e. For a bonus point, can you w briefly how the water flow relates to the pressure difference between A and C? (1 point) From Cc) we. W PHMJL paw”; TM 1A “0 PM“ loa‘irweui 44-an C, W twice M—o—j-m CMIELL “WW-"km are“)? Sim filmy: m ahead-j, 76W 4W— uo fflwfmea. “my; La Maureen‘s fme feral-AHA. Tim 5M Made-.0 at 0L fluid rah 34 13M absent; erg aim (loafl wrwoiddéd) Heart, dies-rm. M ION/mm C’J-loafelmm—lfiino:t ...
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Quiz3_Solution - Quiz 3 Monday February 11m 2008 PHY 252 So...

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