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习题练习:Physics Unit10: Fluids Related Topics



 作者: admin   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 7 p4kjz*4lr( nxw6 oyqof matter are

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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 denryck1oxl,8e f e*k j;7sity of $3.0 \; g/cm^{3}$ 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 aosyndm2a nx2( k-q 9q oz86)du unit of pressure?

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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 saxpptmvbm9hhh408z8 72a, hn) zqk./zc3ao c ome area base, and all three are filled to the same depth with water. Glass A is cylin .aov8aocmk hhcztbz0qx2 9h/ 4n8phzm, 3)7pdrical. 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 pressures inside and outside a tire callewtm5,j+k,b ulkw/lm /d?

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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 to the absolute pfrt:l *h4lu r*ressure at the rr *lfl*u:th4bottom 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 of a pool. If you dive to 2.//8e8-tvyftq n7r7y tv8 khkb0 m beneath the surface, what happen tv-8yr7tny hv/ k8ft78b/kqes 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 princi0, 1vz8. c0gq lq-sjnrye+p vpple.
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11#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Archimedes' principo2ta),ib)17/dz hjub;j9 wkw2d kc fnle.
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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 a;rd -kbsdbd* h 5t;fdmj3*d 6wnd deeper into water of constant density, what happens to the buoyant b*js5f m-* 6ddk3r;w;bddh tdforce 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 ;ei/zao )::f yh:g23ctmwwt cy24a qvboat floats in both fresh water and in saz ge:tmwv:co ; 2ciwa4/ 2qt3:ah yf)ylt 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 than fresh water. A ship floats;ig pz9ugx(3 b in both fresh water and salt water. Compared to the fresgu 3gbpxiz(; 9h water, the 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 pool of mercury. Where is the buoa+46-nye 3 po2irxnyl 21xfboyant 1afn- r eol24b2 x y+oyi3pn6xforce 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 szh o2a,nn qy -. p22t lpwdsdx6nq3.+bottom of a lake, right next to a 10-kg piece of lead. Which has the greater bunoxz2n3+2 ps6ywdq2, a.t. lp- dshq noyant 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 it ec+; he2za;slfe+7 top of a piece of wood floating in a bathtub. If the iron is removed from the wood, whi72;ft + ecle ;azh+esat happens to the water level in 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 floatin,/d9suv0c zz1j7uz5o y8nxuwg in a bathtub. A second piece of wood sits on top of the first piece, and does not touch the water. If the top piece is yzjc0z8zon u/xu9 1 7w d,uvs5taken off and placed in the water, what happens to the water level in the 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 rz)q is w. ng(bi865rka pipe. The diameter of the pipe at point B is larger than at point A. Where is the speed of the water greatz rin)kg5s8 i.w6br( qer?

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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 horizontalc+8o4 2ninyny pipe. If the pipe widens to twice its origi 8co42yyinnn+nal radius, what is the flow speed in the wider section?

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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. If the pipe narrows to hal )wo06+t,jqa, pz4xqcd2 aftzf its,zwa,p6toq cd4qz fx2+ at)j0 original 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 principlj w0n .x m7spo5)o1zjfe.
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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 conserbg3 2nld2 okie:v/o3 bdw91uh vation of energy in 3go2:u3nobk 1 edv 2d wi9h/blfluids?

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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 fluid increases, the *, xozrssy 2o2pressure 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 e/yku,-,uhtf h0 3*fpims f+fat point A. Where is the water prhp ,*mkuitff03u,-y+ f/ehfsessure 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 stripcll ecg 7ok2+ s*i9mp6, the paper 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)wl, u;nss3ep force of air resistance on him ispws ns,;3u)el

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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 si8m:69kiu jk p* 7pj;kth sh/srxa 9-dcmultaneously from a tall tower. Which will re8t -i 7hda6/spk9pcu9 hk jsxkjr*;: mach 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 rockmt9ubdi**6(w6 g ds b ;mmkb0z of radius r falls through water, it experiences a drag foims9m *d *6 bk;wt06zum(bdbgrce $F=arv$, 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 effect on /6 kofj2i4lg lip:go9 the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in the flow rgf: liio j46 lk2/og9pate?

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32#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two horizontal pipes are the same length, but pipe B has twice the ton iedrtt8(yk,) vp9rv z-0)diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow rate in v d)t tr,r(eto 0p-9i8vyk)z npipe 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 a.6c g b6on*zohave the same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow rate in pipe B *agn 6oboc6.zis 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 oftea )c w 6ckht3d5 tlp.p.ifv.b-n tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physike-b.6kc)c.vt3 wd.fla5ihtp p rs", 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 :eeqc7g8- epwwater, the water rises to a height h. If the diameter were half as great, how high would thpe wc8e7:qe- ge water 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 bugiqn dr -vld2j kcfh021 7y/1op, are sufficiently lightweight that they can run on top of water without breaking the surface tension. Wat2/2h klfdi0cd17 j- yqn1 ropver 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, 2(:zy k /hmhguare sufficiently lightweight that 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 possible upward force on the feet of water zmhg yhu (/k2: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 dimensiousz 5,*e5(wpx7sl /rrei7. qzsy )w whns 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What ises 7.uz, s7w(h5i)/lzr sex q rpw5y*w 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 0p6qx.ui 8)25xor sywv5+w hqx.357. What is its density?

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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.gof ;2qmz 5ai10 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can eimqzf1 go5 ;2axert 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 snowshoes.prjp.+9-bx u f 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 witq+ncz6f-5c ixyy3z 6thstand at a depth of 120.0 m in the ocean 6- iyyfxcq6+znct3 z5?

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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 pi;6wz;g cg;ksubmarine can withstand a maximum forceg iw;6 ;czpgk; 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 3u* h .m8mrg:qu00 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 /d0 3gwh/ u ixix2pie0the surface of sea? (The density of seawadh3iixw/0/ix2 0 gep uter is $1.03 \times 10^3 \; kg/m^{3}$.)

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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 15.0 m belt. z0c9nan (x ydil-l(ow the surface of sea? (The density of sea a9ndz l(l0t-.n(cixy water 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 hydraulic machine. The small piz *w0xyl44z k8v p5xge0uje+mstonx0kg 8ezve54yp +l* jxu04m wz 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, thek*y;e l8s wqum01 9*8qjbn;v3yvcr y p small piston has a radius of 5.0 cm and the large piston v1sce; b;9pk*r8yyjqyvqn0m* w 8lu3 has 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 diameter hydraulic piston. Whatnj5 6vrh9qu p: force needs to be applied to a 5.0 cm diameter piston to accomplish jn9p5h:uv r6qthis?

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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 8icc/e(8d7 9:n-hq+vjv-casj zzly x8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a loa-qyz789l xhajcesni (z8/d cv:c v-j+d 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 water. What is the buo 1y(9 qqsm 86hqxf-luayant force q1x8ha6quf-qy 9 s( mlof 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 volumkdc eemqb r6:5i i24d7e 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 solid iron is supported by a string whr wv05qjjr y4)ile submerged in water. What is the te vj)jrwy 50rq4nsion in the string? (The specific gravity 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 gol o ;b(nb: 2-hx 9z:xwf mc.reem.-nafvd 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 submarine (density = e;d: +vdp k sxi10v/7gox) utc$7.8 \times 10^3 \; kg/m^{3}$) 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 h:1 f8njd8 1pmuha,z gN when it is in air and 6.86 N when it is immersed in water. What is udp:a8 1h8fj g,1 hznmthe 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 rh m)s pc6 1;w1zvg(;uwv9/xwjxwdq9-e z,fsieads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspendemw 16cdzpesv)h,;9jigwx(w-u;f9x z1sq wv/ d 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 1.0 kg and d :m/ -tx(vsaoc/,inxyu/z r-m)p vh,jensity 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 diameter 2.0 cm will just barely floa8ow5g:8b yo- jqakf/tt in water.k58f oj gawoq-t 8by:/ 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 negligibh)bcxvy.e ;x 4xp7o p)le mass measures 5.0 m long, 1.0 m wide, and 0.50 m hig o. xhp4;bv)xxecp)7y h. How many kilograms of mass can be loaded onto the box before it sinks in a 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 beneath the surface of the water h)dn* ixjx5b2. The weight of the displaced water is 2000 N.ixdhxb*2 5nj) What is the weight of the object?

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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 with three-fourths of its volume benyl79u*g-yk gfw*p3 lixw x 5(/ofjd*zeath the surface. What is the object's densityx djwo gw5zlx -u*/ykpig (f f*93*l7y?

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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 ia bn/,u*4 xemmts volume beneath the surface of the water. What is the buoy4mx*/ ,bmeanuant force 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 floeshzu2)v; km ;:zeyoa- 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 specific gravity h);;oeuz 2 zsmkav-y: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 2.0 m/s. xjg c)86zm y 05f7eqqy 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 4.0 c-9jc k(u/x8oih.rkh+j m: bw pm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this -khjb +c h ukw.roim9:x(/p8jrestriction?

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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 horizontal pipe with a pressc1*org (o e(byure 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 dol+9o/mijso9+)iy2g:aio. f f+gtaz b es it take for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30..j ot m)s+oil:+y+ 9zfgo f/9aigiab20 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 occupe/:km;r v4kurs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate wivk4r: ;umek p/ll 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 horiwisy6n -e 5x(yzontal pipe of cross-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 wous0g /zj :*mbvfld it take to pour 4.0 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 d:b/fz 0gm*s jvue to the upper part 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 tissue o 9t 4k,6cczpgun the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant bloodkpcg z4c6,t9u 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 of water. Tube A has t9h )g9zzs:kt n+ dgn6cwice the diameter of tube B. If water rises 24 cm h9g 6:9zstgkn zdc+) nin 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 w.rp(qvs5y ;lx ater is 0.073 N/m. How high will water rise in a capillary tube of.qyl vs;p x(r5 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 at 0 degrkij+o 3ea,q.jee Celsius rise in a glass capillary tube with a di.,ij+ jkao3qeameter 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 d3dof i(;hgzpv/ nv62:x* vqqyzk(e: vertically in a pan of water, and 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 the addition of som zqfx n6gedv* :2(ko:d zq3ivv/ph;(y e 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 rectangular frame of length 0.120 m and width 0.6)jvz8r2s:j u7ds..r kkhj+ y4u t9 pnc00 m with a soap film formed within kz2n9jc)j7:spsrdkv4tu.. jy+h8 r u 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 side?

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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 length 12 cm and width 5 cm, and is but9cx.c. mti gqxa- t.-ilt in such a way that one of the longer sides can be moved without bursting the soap film contained in the frame. Soapy water has si9 .xqtcgmt-.ac.t x- urface 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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