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HW 12

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School
University of Illinois, Chicago**We aren't endorsed by this school
Course
PHYS 131
Subject
Physics
Date
Dec 22, 2024
Pages
4
Uploaded by BaronGoose4785
Physics 131 Written Homework Problem: Week 12 Problem 1: Liquids in a U-shaped tube ‘ A U-shaped tube is partially filled with water. A volume V of a liquid with an unknown density is then poured into the left side, and the h, surface of the unknown liquid ends up higher than the surface of the h water on the right side. A. Ts the density of the fluid larger, smaller, or equal to that of water? Explain your reasoning. ) " /s & ' ‘{ SOUwW o @f\ux hy = ?\"M;(\ b : P’(““‘{'C | }\\‘ ¢ Yhea (\U\(“\D of wator wmuh \e Qrm\(r ‘le\ P{\Lkh\ B. Determine the density of this unknown liquid, if hg = 11 cm and hy, = 16 cm. [\ o o ~ w \” _/ C. If the liquid was replaced by the same volume of a liquid with even less density, what : would happen to h; and hg? Explain your reasoning. ) ) N \ ! ‘/» YW ey ol C \ . = | © \ O ;) \ | =19 vhAY ( { ! v w—— NP ekl 1, 8 1|> ) Y ey 0 1 / (vrote | ;’,/ /I\~~- 4 & Vo o \;\l\/. > ( V¢ { ¢ g g L] 4 L { o’ ¢ . ' ———————————————————— S S N YRR
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) D. The density of the unknown liquid is decreased to half of what it originally was. Find hpand hy in this case. | 'Hz =0.055m= 50 ¢ N Problem 2: Blood flow The carotid arteries carry blood up through the neck to the brain. In one patient they are 11.2 cm long and havc an inside diameter of 5.2 mm. Assume the speed of the blood at the bottom of the artery is 0.5 =, and the density of blood is 1050 — kg . Treat blood as an ideal fluid for this problem. Treat blood as an ideal fluid for this problcm By what amount does the pressure drop in one of these arteries from bottom to top, i.e. what is the pressure difference Pop — Ppottom? [H Ip S N \ \\v J-‘Jr- ) ik \ A D\ L + ) /1 L,“‘ ) | DA ARCANE it e ) ‘ b Mm ‘ N \ 0 \’L ) (. e P ¥ 1 fa =f ) ) ) \ 4 ) - - o
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TR AR AT R R MRS SRS (o e 2 2 Ry VELRAR KD A LS N Problem 3: Water flow Consider water (density of 1000 kg/m?) flowing through a pipe as shown in the figure. The pipe continues beyond what is shown — it is not open to the atmosphere. The gauge pressure at point 1 (where the pipe S @ J ns diameter is 6 cm) is 75 kPa, and the water speed here is 5 m/s. At point 2, which is 2 m higher than point 1, the 75 kPa 6.0 cm pipe diameter is only 4 cm. Treat water as an ideal fluid for this problem. A. What is the absolute pressure at point 1, in units of kPa? D ) v P \ als = Voug 1 Vo \ V2 30k F5Hfa ¥ Nadonli0V 3 fa) B. What is the speed of the water at point 27 QQ\\ = l,L A\W = A9V ) / o ~1 f N & - |- 2 o N, = R R i"\ [0 .B)m b.h/Z) w\ H/l L i i et A A Wi ] \ - 1 by Y T T ot C. What is the gauge pressure at point 2, in units of kPa? N I, ol MR T : ’} FL\M‘ 1 /‘r \l’\ - Vi’)«/ 1 jh/,h,[! /(, p\’( ' . ¢ V4 / ) 2 126306 H 100055 o) fy o0 55)= \ L= s C C /k ~ 11 ‘L’ )L'('(( ;éj/({/// 70 C 5 o000 P L3281 .10 251428 ) I } ! | o) 1; : . - ‘ ) N\ ‘l ‘l([ [,,i\’ I j v EEEEEEE—— T e e e
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IR YEVIAL L ——————— Problem 4: Liquid out a hole ) [\ M Consider a container filled with a liquid with a density of 1200 kg/m?3. This container is open to the atmosphere at the top (point A), and there is a hole at the bottom of the container (point B) where the liquid /l flows out into the air at a steady speed v. Point Ais a height h = 1.2 m above point B. v v The jar is large enough that while the liquid flows out - of B the height of the liquid drops negligibly, so the B liquid speed at A is effectively 0. S A. What is the pressure of the liquid at A? pa | \l'\/ | \ '4 ¢ \ Froong r' ) Ny / Fa. + 120003 )3 (10 my, )(\,z.x\»\\‘\ Pk 4 0 A Pm ;um.ffl(5@ffi ) B. What is the pressure of the liquid at B? L1050 | LY DORY '/{;»g\\)[( \)L O + /V 4 ESKE 41, 0V ;/ ey pole 10 @ P, = A \OSPO\ C. A{ what speed v does the liquid flow out of the container at point B? > lLneck ~1Pa¥40'%fi(fl LT oot 00K - (HEWE \b pOOMIW A \\ \Lo \"q\\/[) ) N
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