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习题练习:Physics Unit10: Fluids Related Topics



 作者: physics   总分: 80分  得分: _____________

答题人: 匿名未登录  开始时间: 22年07月29日 13:02  切换到: 整卷模式

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1#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The three common phases of matter a1ih8yy tn3ag1 zvag,6re

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2#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Density is

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3#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Substance A has a density o2 7pt uis ,1nmr3;y1q62ptcyatc8s al-.b twaf $3.0 \; g/cm^{3}$ and substance B has a density of $4.0 \; g/cm^{3}$. In order to obtain equal masses of these two substances, the ratio of the volume of A to the volume of B will be equal to

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4#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Pressure is

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5#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which of the following is not a unit of pressu sq)o zmrdn/ 8s3v8b7ore?

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6#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Consider three drinking glasses. All three have the syf0 r 6l6x faakc z.h*lr10nb9ame area base, and all three are filled to the same depth yral190f k 6z0 xrbfc.6aln* hwith water. Glass A is cylindrical. Glass B is wider at the top than at the bottom, and so holds more water than A. Glass C is narrower at the top than at the bottom, and so holds less water than A. Which glass has the greatest liquid pressure at the bottom?

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7#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What is the difference between the pressuresx;yy9i 4n 5c9hqyvqh 1 inside and outside a tire called?

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8#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  When atmospheric pressure changes, what happens t5mu eobavw 78n9 91auqo the absolute pressure at the bottom 9nqovu 1w7m 9abe5a8u of a pool?

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9#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  You are originally 1.0 m beneath the surface ojhefg58uq, rbo; s :f8sewh5+f a pool. If you dive to 2.0 m beneath the surface, whate;+fh85s o,q wjs5 bhr e8ug:f happens to the absolute pressure on you?

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10#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Pascal's principle.dxov /7j ww+xb 0x1k doft5c3)
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11#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Archimedes' princizu;; muu thkv+ ki059fple.
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12#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  $50 \; cm^{3}$ of wood is floating on water, and $50 \; cm^{3}$ of iron is totally submerged. Which has the greater buoyant force on it?

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13#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  As a rock sinks deeper and deeper into water of 2uh7hb b p,..gpno3h yconstant density, what happens to the buoygophb.b y3 7hhp2n.u, ant force on it?

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14#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Salt water has greater density than fresh water. A bori+ m j;*f(gduat floats in both fresh wategjfdi*+ ;r( umr and in salt water. Where is the buoyant force greater on the boat?

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15#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Salt water is more dense thfm ,+:lku)zg-dmwi c- an fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, thf:cmm g-il)+-wkuz,de volume of water displaced in the salt water is

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16#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A steel ball sinks in water but floats in a poo 8h 7;o8hsu0upt d5fxpwa3m9u l of mercury. Where is the buoyant forceusp m w7d 8f9ouxap;3h85h0t u on the ball greater?

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17#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 10-kg piece of aluminum sits at the bottom of a lakedq 0-ou uo9h5 ilg2: 6vj9rwfc, right next to a 10-kg piece of lead. Which has the oud g5j:2hc69ro-qwifl9 u0 vgreater buoyant force on it?

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18#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A piece of iron rests on top of a piece of wood floating in a batyf( .x-g be8)nm/pjl jhtub. If the iron is removed from the wood, what happens to the water level il)f pb gnm.y( j-8e/xjn the tub?

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19#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A piece of wood is floating in a bathtub. A second piece of o q06ozxvpn9j1hu (fw 6 d5x zh1xwc:(wood sits on top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, what happens to the water level in xzvzo01n1h( w9 65udqxfx6( pjh : ocwthe tub?

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20#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Water flows through avaj/ ) +sx) 0draet.+dqzs.ug pipe. The diameter of the pipe at point B is larger than at point A. Where is the speed of the water dsue/aa+)sx.r)gtvq +z0d.jgreater?

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21#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An ideal fluid flows at 12 m/s in a horizontal pipe. If the piprz,n+ign( -4ps1yg j ke widens to twice its original radius, what is the flow speed in the wider section? r,1iyj np-k ng(sg4+z

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22#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An ideal fluid flows at 12 m/s in a horizontal pipe. I sz21c8xy evm ewmlww)n)ei7-5( -lwd f the pipe narrows to half its s(-)1 lvezn)ex7yiww -mm28l5wc de woriginal radius, what is the flow speed in the narrower section?

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23#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Bernoulli's principle h+doc uz*7-bl.
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24#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which one of the following is associated with the law of conservation of,(w0 o4d zjom(uyj f+y33mvqf energy in fluidsyo,yf0 qjf( u43z3mm d ov(wj+?

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25#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  As the speed of a moving a f*2ingzrj -f9bdug7zuic+u m( :+/n fluid increases, the pressure in the fluid

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26#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Water flows through a pipe. The diameter of the pipe at point B is larger than zixjr ,pt2,lpt 54c.aat point A. Where is the water przrjpcx245i.tpl,t a, essure greatest?

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27#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  When you blow some air above a paper strip, the pape 1o/2jl,bmzper rises. This is because

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28#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A sky diver falls through the air at terminal velocity. The force oum3z d wybnj/za92 p*6f air resistance on hi3wubnjzap m/ z2d9 y*6m is

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29#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a tall uy g7cztux5h 2n828qftower. Which will reacqx5 2 8 7tgzhufyun28ch the ground first?

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30#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  When a small spherical rock of radius r falls through water, it experienc:y7dq e n:u8p2eeo)rbes a dru:rdnpey 2:)ee8 qo7 bag force $F=arv$, where $v$ is its velocity and $a$ is a constant proportional to the viscosity of water. From this, one can deduce that if a rock of diameter 2.0 mm falls with terminal velocity, $v$, then a rock of diameter 4.0 mm will fall with terminal velocity .

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31#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which has the greatest effqj8 o,pv+ 7zefect on the flow of fluid through a narrow pipe? That is, if you made a 10% f ze7q, 8ov+pjchange in each of the quantities below, which would cause the greatest change in the flow rate?

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32#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two horizontal pipes ar o*.wfy lwdvm9lrabz086g*2 se the same length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subj.lg ywa9*rms d* 8vf6lz0w 2boect to the same pressure difference across the lengths of the pipes. If the flow rate in pipe A is Q, what is the flow rate in pipe B?

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33#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two horizontal pipes have the same diameter, but pipe B is twice as long qa/)uga ft:)a as pipe A. Water undergoes viscous flow in)/ga)aq ufta: both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow rate in pipe B is Q, what is the flow rate in pipe A?

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34#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  When soup gets cold, it often tastes.,6vxf j fe6 p6os-muw greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little glob fuj,sf 6e6. wo-p6xmvules. To us "physikers", this is readily explained in terms of

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35#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  When a tube of diameter d is placed in water, the m8a t 4sef,0k ql6eyq/water rises to a height h. If the diameter were half as great, how high would the ft,a46y ek8qq/0 el mswater rise?

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36#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Certain insects, such as the water bug, are sufficiently lightweight t- cpef1g*i .aphat they can run on top pg.a*f-ec1 ip of water without breaking the surface tension. Water bug A has weight W. Water bug B is twice as big as bug A, in all dimensions. That is, bug B is twice as long, twice as wide, etc. What is the weight of bug B?

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37#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Certain insects, such as the water bug, are sufficiently lightweight thatc n6* 3tldgs6,v (sram they can run on top of water without breaking the surface tension. This is possible because the water, due to surface tension, exerts an upward force on the bottom of the bug's feet. Suppose that the maximum *l6scnsard(6mv3,t gpossible upward force on the feet of water bug A is F. Now suppose that water bug B is twice as big as bug A in every dimension. That is, bug B is twice as long, twice as wide, etc. What is the maximum upward force on the feet of bug B?

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38#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A plastic block of dimensions 2.00b.8jkhu7pt /:trp7z r cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What it h8ruppb7:tjkz/. r 7s its density?

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39#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A liquid has a specific gravity of 0.357. What is its densq08cst 7ya.: 8bj- impetkh o*ity?

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40#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A brick weighs 50.0 N, and measures 30.0 cm x 10b f2qacn)c*7z.0 cm x 4.00 cm. What is the maximum pressfq b2c*z)na 7cure it can exert on a horizontal surface?

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41#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A person weighing 900 N is standing on snowshoesb-h9 qa ;kw0ljmj+;qn . Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

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42#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How much pressure (absolute) must a submarine with7 zn6j(f-*hv fwezds7stand at a depth of 120.0 m in thef7 zvd* -sfwh(n 6jz7e ocean?

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43#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A circular window of 30 cm diameter in a submarine can withnte.+m+*6jpb1t7csn tg5 kao o zx :c8stand a maximum force tn+osx +mktp c7a: 86 15ocgn*jzbet.of $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

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44#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What is the gauge pressure if the absolute pressure is 3(pk sqtj-8n,g 00 kPa?

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45#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What is the gauge pressure at a location 15.0 m below the surface of sea? z xck):zugu ( hvr)3br6g92mh),n son (The density of seawater m:n (c6u3,zubk 9)ovr nsrg z2)x)ghhis $1.03 \times 10^3 \; kg/m^{3}$.)

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46#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What is the absolute pressure at a location s6lu4omp 80rv q* v2.lh/igc01 xlpaa15.0 m below the surface of sea? (The densitya* o4h.l pm02xq0r u c/1 lil6pasg8vv of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

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47#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 500-N weight sits on the small piston of a hydrauliczllz d-oeysvf/*s42n)br aw 0gr9:t: machine. The small pisto *ogv z-b) s9/nrredzwltf02:syl 4a:n has area $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

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48#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  In a hydraulic garage lift, the small piston has a mnl+y -gn4d- aradius of 5.0 cm and the large piston h - ga-nn+d4ymlas a radius of 15 cm. What force must be applied on the small piston in order to lift a car weighing 20,000 N on the large piston?

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49#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 13,000 N vehicle is to be lifted by a 25 cm dia;w 8yrr0obo :dmeter hydraulic piston. What force needs to be applied tor br80d:yoo; w a 5.0 cm diameter piston to accomplish this?

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50#
 
填空题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The small piston of a hydraulic lift has a diameter of 8.0 c s:iklc3*w+3procukq lm 1d08m, and its large piston has a dm8r1*clw ik+duq3p :csl0o 3kiameter of 40 cm. The lift raises a load of 15,000 N.
(a) Determine the force that must be applied to the small piston    $N$ (fill in numerical value only)
(b) Determine the pressure applied to the fluid in the lift    $\times 10^5 \; Pa$ (fill in numerical value only)

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51#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A block of metal weighs 40 N in air and 30 N in wob4id-jtjl s50* 4ut*z3 dp kobyi4l)ater. What is the buoyant force ztp4d0o* ybd jbs 4 )i3 45t*ojill-kuof the water?

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52#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An object has a voluyo;x 8d:xf.fb me of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

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53#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 4.00-kg cylinder of skfl6q-9av(;ibwpx b4krxk2 6olid iron is supported by a string while submerged in water. What is the tension in the string? (The specific gravityr9ai; w66bkvxklkp2f 4- x q(b of iron is 7.86.)

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54#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If the density of gojo/fyxob5w.a io b /-:ld is $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

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55#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A crane lifts a steel submariboe;u k ny4(h88o6ju* ki6 zjlne (density = $7.8 \times 10^3 \; kg/m^{3}$) of mass 20,000 kg. What is the tension in the lifting cable (1) when the submarine is submerged, and (2) when it is entirely out of the water?

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56#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An object weighs 7.84 N when it is in air and 6.864 ojd2wx o++w: o asgko6:mew0 N when it is immersed in water. What is t+w mjx4godok6: aowe +:2 0owshe specific gravity of the object?

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57#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A container of water is placed on a scale, and the scale reads 120 g. Now a 28 y idpa,w;nf/syvr,4 0-g piece of copper (specific gravity = f,wyy dsan8i4 , /pr;v8.9) is suspended from a thread and lowered into the water, not touching
the bottom of the container. What will the scale now read?

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58#
 
填空题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A piece of aluminum with a mass of 7 etk(2)x g qcsxdrs0o/+7b6 p djrr9a1.0 kg and density of $2700 \; kg/m^{3}$ is suspended from a string and then completely immersed in a container of water. The density of water is $1000 \; kg/m^{3}$.
(a) Determine the volume of the piece of aluminum    $\times 10^{-4} \; m^3$ (fill in numerical value only)
(b) Determine the tension in the string after the metal is immersed in the container of water $N$ (fill in numerical value only)

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59#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A cylindrical rod of length 12 cm and dh,vkm/ d5;y ((jfop1qm xcx1tiameter 2.0 cm will just barely float in water. (x1f(5/cm1dtj;, m vqypkhxo What is its mass?

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60#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A rectangular box of negligible ma74ukoy*hb/ n, n:swh ass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks in a nknubh7*h/w,:o4 s ya lake?

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61#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A $1.0 m^{3}$ object floats in water with 20% of it above the waterline. What does the object weigh out of the water?

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62#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An object floats with half its volume bw.7b;;n8g u os vx;lpweneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight of the onlog8xb;u;;wv w7sp .bject?

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63#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A solid object floats in water bjzlq p30(-iy with three-fourths of its volume beneath the surface. What is the object's de-3zp iy0 ljbq(nsity?

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64#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 200-N object floats with three-fourths of its volume benejpahsdb1z (d1 hiu,94 ,6q(loccxz p+ ath the surface of the water. What is the buoyant forc4qahp9z,l1p z1o x +cdhj6icb( ,s(du e on the object?

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65#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A polar bear of mass 200 kg stands on an ice flzj8 9avco5a- f4r*laooe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specifiv8rjfl9*4c ooaaz -a5 c gravity of ice is 0.98.

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66#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Liquid flows through a pipe of diameter 3.0 cm at;gg-ol 7lj8 dm/+)njnafm 2to 2.0 m/s. Find the flow rate.

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67#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Liquid flows through a 4.izmk2pgtl; z */7)nnu0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter rest*z; ng2p /7nmiktuzl) riction in the line. What is the velocity in this restriction?

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68#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Water flows at 12 m/s in a horigp8 fvqd2oi 0we;a,*zzontal pipe with a pressure of $3.0 \times 10^4 \; N/m^2$. If the pipe widens to twice its original radius, what is the pressure in the wider section?

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69#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How much pressure does it take for a pump to supply a drinking founthrj3* s017pb/ pse+ mtpoovog1 h67 fnain with 300 kPa, if the f tr+ogemo 6j* o7fs3bh/7p1pns1h0vpountain is 30.0 m above the pump?

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70#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A hole of radius 1.0 mm occurs in the bottom oft1wqnxx -e ;4eilv7r 996 r cg .y4iousftr/9q a water storage tank that holds water at a dep1s9t wx4n qv7gfri9 e/eri49c6qtlu;r.oy-xth of 15 m. At what rate will water flow out of the hole?

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71#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Water flows through a horizontal pipe of croe1a0 hn/dd lv+j7(ll oss-sectional area $10.0 \; cm^{2}$ at a pressure of 0.250 atm. The flow rate is $1.00 \times 10^{-3} \; m^{3}/s$. At a valve, the effective cross-sectional area of the pipe is reduced to $5.00 \; cm^{2}$. What is the pressure at the valve?

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72#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  SAE No. 10 oil has a viscosity of 0.20 Pa-s. How long would it take to pour 4.m1 kqot u57(xv0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assume the surface of the oil is kept 6 cm above the top of the neck, and neglect any drag effects due to the upper p1tkvu o5x q7(mart of the funnel.

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73#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Suppose that the build-up of fatty tiss.kl vu/aip:u5ue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the h uli/ :5kuav.peart have to be increased to maintain a constant blood flow?

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74#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two narrow tubes are placed in a pan xog e/r2,x84redp(slof water. Tube A has twice the diameter of tube x(x8 pr/2lesdergo,4 B. If water rises 24 cm in tube A, how high will it rise in tube B?

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75#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The surface tension of water is 0.073 N/m. How high wig:j+k4hx+vkc9g *h dn ll water rise in a capillaryndg 4kxj*k+hgh9+vc: tube of diameter 1.2 mm?

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76#
 
  232

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77#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  To what height would water qe/lbgleo 273at 0 degree Celsius rise in a glass capillary tube with a 3b/g l2oele7q diameter of
0.50 mm?

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78#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A narrow tube is placed vertically in a pan of water, and9/bvk is9 )hlg8 aq7p0a3haic the water rises in the tube to 4.0 cm above the level of the pan. The surface tension in the liquid is lowered to one-half its original value by t8/bh 0p 9 qi9vhgs7k) iaclaa3he addition of some soap. What happens to the height of the liquid column in the tube?

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79#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Consider a rectangularnnne1hhuz nn8*41s qo 4oxzr:q5ps :8 frame of length 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force does the soap film exert on the 0.600 m shn1h4 8 zx:nq8znno51* 4o:s nseurp qide?

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80#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An adjustable rectangular frame has lengt: 7wtb qxw2ed 62wz)vdh 12 cm and width 5 cm, and is built in such a way 27dw wxbe:6v2qz wd t)that one of the longer sides can be moved without bursting the soap film contained in the frame. Soapy water has surface tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?

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