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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 phased45u; mb9tong s of 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 density rwq ;1pj8n75no1tojg 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 followin85.bjljw qv :ryq vw)8+v /vgzwv.fw1g is not a 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 same area base, and all p+i6wqn7k: hb 2qi/kqt u4o-uthree are filled to the same depth with 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 th i42koq7q knt/+ p:-qbiu 6huwan 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 out vt65x(tr /gk wxyk72mside 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 to the absolute pressure at the w*cq/ kpmuz*icq.5 h vy96/ew bottom of a p /y5eq*/hq*z wvciwc6mp9 .k uool?

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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 akw0m; gqt (vaw yj6i8* pool. If you dive to 2.0 m beneathjt *y;aim k086v wwgq( the surface, what 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.o u2owz co1v2e8mh8 5h
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11#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Archimedes' prinpwgc4,w 0; yq02gfm ksciple.
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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 d ng usi( loog7o 1fzq8c3q(2v2eeper into water of constant density, what happens to the bufs2 ng2 qo8o(qc7u3 li1z (gvooyant 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 07d1 ifsnvjtilf v9c2ihb) 1 2k6a l7ifresh water. A boat floats in both fresh wat)2i9i dv2 cla0knivfji1l67sb7t fh1er 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 than frg)e8.t69p x fk)1qk0oxb plvhesh water. A ship floats in both fresh water and salt t6x0 bphk1vf8ko)ex)l.q9 gp water. Compared to the fresh 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 ed/di-l6nzxm// y6qnthe buoyant fory6d x-d/lzeim qn6/n/ ce 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 smjf (t4y 5-q:or; c0.pwp bvmat the bottom of a lake, right next to a 10-kg piece of lead. Which has thsv 5 ;yp m(.mw4t:p0o- rbjfcqe greater 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 3) x6zevddc*b3 df(9i s:/ghxfy hpi/ of a piece of wood floating in a bathtub. If the iron is remove/c3 pefd)i:6(s fb3vghi 9 xh*zxdyd/d from the wood, what 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 floating in a b*zpi5k, yvb*jathtub. A second piece of 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 jpkyb * 5i,vz*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 a pipe. The diamego2r;7m go6 ur p++lowter of the pipe at point B is larger than at point A. Where is the speerg2op 6o+;lg+o m7 uwrd of the water greater?

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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+ontv3j sp8t 17k3mng2a3 s9s0m mrgh in a horizontal pipe. If the pipe widens to twice its original radius, what is the k33 1gs mhttss2r mn8 +gm930j7navopflow 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 *y6r(2ir oapim/s in a horizontal pipe. If the pipe narrows to half its oriri(6poyr2 i a*ginal 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 princigap ea;zr 3:,wz +qy8yple.
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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 el2m by1-3pwo4rn p kb,nergy inb, rpnlko42y-1 3bw pm fluids?

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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 pressure in the flu9ea:y jzp zk2f97hzi 4id

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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 lauvlcmf *h5/ n9 5nhyw 9qh26werger than at point A. Where is the water pressure ev /2nc55 96hwqn*y m lhwuh9fgreatest?

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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 a;cip9tfjeezn :8b1,vl v r4 zw4pm;h 0ir above a paper strip, 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 force of air ;83w1m-sgey.e zdks p resistance.m1w;k8 epdze ss y3-g on him 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 simult mwvn2 ml: mg.,gj(cc7aneously from a tall tower. Which will reach the grojcvnmgc2 gml 7.,w(: mund 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 radiu2.k o;qh2lwc qg8bvt:s r falls through water, it experiences a drag force o :c ;8.hwqkbq tl2gv2$F=arv$, 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 the flow of fluid through a ou0 z4b5ikbxt6z7g (e*hy m*snarrow pipe? That is, if you made a 10% change in each of h z*t0 4osku7z( bbx*y e6mgi5the 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 are the same lengt5 926h aue+*c9gsnshwewm s(gh, but pipe B has twice the diameter of pipe A. Water undergoeeg (w w*9as6euhm2g9nshc s+5 s viscous flow in both pipes, subject 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; rcx 5vnt;vk( have the same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pt(v;cr5x ;vknipes, 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, iw0qzct d.+ap7t often 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 glopda 70q z.+ctwbules. 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 water rises 4 15g) : ulhszy2hdkccto a height h. If the diameter were half as great, :) dsgc uyh2z1cl45hk how high would the 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 bug, are sufficieuy; 5 b:ynid*)j9cvauq8(n vyntly lightweight that they can run on top 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?n(c* nv9yu 8y qiy; abd)ujv:5

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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 b(be;)r0,2dqc shx js r+1outoug, are 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 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,rebto 1+uo(shq;s xr d)jc20 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 2.00 cmcxu xl-f,v ;u. x 3.00 cm x 4.00 cm has a mass of 30.0 g. W-v;fxl uu .cx,hat is 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 specifi6/bo 0is)6fu+ 4abgrpid5nx a c gravity of 0.357. 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 30.0 cm x 10.0 cm xc8 fnotnpwe+ )n(bc6-b vg/c* 4.00 cm. What is the maximum pressure iv6n8/ -c)oc(+bcngbw p*fntet 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 o3-ghi 6c15waw5gr d::; nfgw1ut ropnn snowshoes. 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)sizt (vlsq9,2 must a submarine withstand at a depth of 120.0 m in th ,9lsv2i(sqzt e 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 diaquithta+7 ,nlkx 80y4meter in a submarine can withstand a maximum force y 7 h4tint0+qu8la k,xof $5.20 \times 10^{5} \; N$. 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 .c aef7o3dwm.3h uau o+/srf+ 300 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 surfa,42.yr7 rlkz h dkonqxmoka wqb :/b.v(90r9 mce of sea? (The density of seawater ib. zo mdh.,9 mkkqoq (w/l9kyar bnvr470r2:xs $1.03 \times 10^3 \; kg/m^{3}$.)

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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 pressureyen0/:kqryx.xu06 cp q 945p rcs +yge at a location 15.0 m below the surface of sea? (The density of se/n0x+kyppe9 g56:ru .yrsqxce4yc0q awater 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. yj i4a;otwe +5kr uj z*7)ys)b The small piston has area byjo k ae+ )y*uwjs)ri7z;54t$2.0 \; cm^{2}$. 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 radius of 5.0 c6(2mnioe-.ygs*3kwro y 8mo 7u6xx sb2pf 6b mm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to 7 ui28fgxmp om *b- yory.2w kne6s3xsmo(6b6lift 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 lifttil856 ig l,p(g x1-zcal *e:if )rjtred by a 25 cm diameter hydraulic piston. What force needs plzi 6-i8 (rr:)ttj eif5ag*g1,clxlto be applied to 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 dxo8yxsibo,b -ej uf g62 cc:43iameter of 8.0 cm, and its large piston has a diameter of 40 cm. y6:sboc c oxbxj 8,uifg 23e4-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 water. What is lii7gist. ca y ,11-; m3kvdos4ume/vthe buoyant force of the3giu;atsi,1mky. /7c msolev -1 d4vi 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 volufbi-9k1ffer /4 -iz tqme 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 b j5p 1 lp+t*li aaij*okbf*7x+y+g c)ky a string while submerged in water. What is t)ytxa* *op5p*1b jai c+++jgl 7kkl fihe tension 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 gold ise yna xh)em9)b7.ism f2i;yu* $19.3 \times 10^3 kg/m^{3}$, 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 (o3w(k xiti-p, 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 6.86 N when dg,xng l;/hahv 8zu01it is immersed in water. What is the speci gal ;n/gxh8u0,z1dhv fic 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 )1ealej , x7,4k29rno uaet vn20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the water,2xnje 4 9eat rao)kne 71v,lu, 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 yialromq)5*nl/- f u; 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 diameter 2.0 cm will juso63gd+*iotp z,) hsvrt barely float in water. z6, r s3podgo)i+*thv 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 mass measures 5.0 m long, 1.0 m wide, and 0.50 mh;,oixv p;w r 1npk08x hi;0 nkh,p1pov ;8wxri xgh. 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 waterncq8z6+au 7 xn. The weight of the displaced water is 2000 N. What is the weight of the x+6ac un znq87object?

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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-fourthewue*a3j ;y8j ss6e piq nm4hiob1a+zy3 *m:2s of its volume beneath the surface. Whae:2 +iaowems ;z sy3*i6j3m1 b4e q pnhujy*8at is the object's density?

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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 beneath th7y)w*lgf p.bd o(u w*ze surface of the water. What is the buoya*()*oydw .zwg pb 7fulnt 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 st3l x5:ny. j8 kt1unravfk45j *yz i+2dqh-wydands on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specif45 qk5zutv3xjniwnl -2rkhy8d1.:jf+ d y*y a ic gravity 1.03? The specific 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 pip9xfyae3 (fr .yg9kceb;e+.zhe of diameter 3.0 cm at 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/i+,,dbu 5i6btmm-v vlg: qyn .0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is theb ,+g i6:ummqlt-5bnyivvd,/ 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 horizontw8:m.,qp.tx 2t uks ouhj 2ea(5qf+pl al 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 fou- j )+7hcm4nxzq4nsqkntain with 300 kPa, ickjx7 )4 n +n-q4zmhqsf the fountain 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 pl 2nj*cmw,5cmm occurs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate j,2p*mclc5wnwill 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 pipe05ahzr,rxb+ s+p 6hf c 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 vhb;te0 g7i5z (rub m6wiscosity of 0.20 Pa-s. How long would it take to pour 4.0 L of oil through a funnelebt; bw rzh07i 56ugm( 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 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 on the wall of an afhyq cxqbf,l ;)e;ds zd s:+ lm5y4r77rtery decreased the radius by 10%. By how much would the pressure provided by the heart have to bdbc ,qfr ) l m7zd7lsq:yhe;+4xfsy5;e 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 of water o6z)zw)9c ksf. Tube A has twice the diameter ofwzk f96)cszo) tube 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 will water rise in a ca *pp*61byrylolt )hjidf9y1 2pillary2l9)oyf 1rh 1y ipjlp d**b6ty 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 at 0 degree Celsius rise in a ebzy r92uov .1glass capillary tube with a diameter vr buy192ze. oof
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, and the water rise wkm5w qbe(flln:l, a. sp)99qs 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 some efw,( mp kq)9.qwna l5s l9bl: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 0.600 m with ar v)woar (1l,cn ,d.lg soap film formed within its confined area. If the surface tension of soapy w.1dogncw(l v ,),r ralater 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 va-f b8q1gsx* width 5 cm, and is built in such a way that one of the longer sides can1 g8fxa b-vqs* 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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