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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 pha2 k6r..gsx smxses 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 densityfti/ ,xoej f .okr(o12 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 a unit of pressu/gsc.q ews 9na ng8itwus+in 3:g7p+7re?

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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 d9dp+u 81 te s)de8*jk i1x6w,wcj krwbase, and all three 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 than at the bottom, and so holds less water than A. Which glass has the greatest lix,rcdjt9pdu 1s8w1dkw+w 68 jie*ek) quid 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 ibsckr -t.23twnside 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:/j1mq 8bc uelpe 5q6x changes, what happens to the absolute pressure at the bottom qebeju: c5/m 861qlp xof 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 2.0jc9+:eccm9:-telaiw -kh w j oum82 :x m beneath the surfa :-cxle 2:9kiw ccwute-h m:j8jmo+9ace, 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.sil+qjekgc5vb3t91h + cra ng sd+7.3
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11#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Archimedes' prin7 rf 0hkr6md1nciple.
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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 io;ca vpv 8 tjv8rj+.7water of constant density, what happens to the buoyant force o.v+v8 7trijaco8p jv;n 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 boat floats in both fem53u cw.r:c3)dzhkq resh water an3q ur.c:mewkcz3)5d hd 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 fresh water. A ship floats in both freshye ji0e12b 8rfk*1fey water and salt water. Compared to the 08eij1 f1ekb* rf2 yeyfresh 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 buoyo 5i,hv 2z4xzmant force zh o2 mzv4xi,5on 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 bot 2j.i,93x yyh,x h..0 b dmcytqprm2hftom of a lake, right next to a 10-kg piece of lead.3 .cm2x jb.q,h.itp0y2r dx fyhhm9y, Which has the 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 tfu)u v;ci/u c7op of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water leveucu iu7 /)v;fcl 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 bathtub. A second piece of wood sitp18qux 9ufav 07/ hqj6gv fha7ihv 4p1s 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 8674hqha av 1uh p/ip 7v0g9fvfj1 quxhappens 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 diameter of the pipe at poinl kxl;-fv*unu h.c;u; h1 g)sh ip0;pdt B is larger than at point A. Where is the speed of the wati; f.xkluv0hs)n1;gup;; u lp*-cd hher 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 in a horizontal pipe. If the pipe 7 2,nkuaj lxahvkul 6y8ynj02ein.9( widens to twice its original radius, what is the flow speed in the nnn7 (avu8lu2ja.l26hye,xi0y jk k 9 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 narr*w)ps ;;tm+be/xmcjmd1zuj ) ows to half its original radius, what is the flow speed in the narc;de m)1;u/m+)tb spxm*jwz jrower 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..u9p5,ti mxx6f w cju0q4+cce
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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 e8z. 1otkhy3u )bwn nf3nergy inbzo .hufy )13nw tk83n 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 uk,rca-k8 x).m ks6ka 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 pu, x6ji/m tq:kd xzx-xqf7 6s9bhi8mz( r3tr:ipe at point B is larger than at point A. Whers8x3ixur:bqzxm mrq 9t/j,:d(h 7 z - 6ifx6kte is the water pressure 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 pbs/4u xw9pnr )aper 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 lzj80kh zk *bid91w8dterminal velocity. The force of air resistab i9hj dkldzz0 kw1*88nce 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, a(jfczy qi*3(qq4jhtlwg 3k ;oz0 i u.2re released simultaneously from a tall tower. Which will reach the gri(qhtqizq3 *2;j4 3l cgw.kjoz(uy0found 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 radi h 47i,1f/yl:uehmbdius r falls through water, it experiences a drag force : mhhl/ ,bufi7 1yie4d$F=arv$, 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 flu0sjuo 01 z8yeaid through a narrow pipe? That is, if you made a 10% change in each of the a yejo018zs0uquantities 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 lengthua v 79nz5uww(, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If thu5 9vwu (zw7nae 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 acx*4qr -:b1dvf +mnjqs pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure differ4-+ *fb mjdnq1q: xrvcence 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 greasy. This "greasy" taste sr tx-tsr/)c (y3 kmbb1eems to be associated with oil spreading out all over the surface of the soup, instead -rry (xb3)1 stkt/ cmbof staying in little globules. 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 diameter8 xns+9 pvqj9w d is placed in water, the water rises to a height h. If the diameter were half as great, how high would the wat8xps w9j9nvq +er 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 that twutv(k0crcy *x hq9x /d34q;rhey 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 0qr9 ut; k dcx/3hqyr*(4 cvxwtwice 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 that they ;c .1jy0v;7urmn)2ca nbk9tnqh8msqcan run on top of water without breaking the surface tension. This is possible because the wate)q1ntjr;vyshm q7 ;2km9nnb 80cuc.ar, 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 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 cm x 3.00 c3 ljwi+ ax ux69+ppp6wm x 4.00 cm has a mass of 30.0 g. W j9ww6xpx +3lpiu+pa6hat 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 specific gravity of 0.357. (b*+h 4hqe aww ta/fm, 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 bllglk zvz :83nj9wyn .0lv34cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal surfac lzl :3w 8llgyv39jbn0 4nkz.ve?

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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 snows /krsg2c4g65 ad oj0cdhoes. 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 withstand at a depth of 120.e wtsnsev10 /+0 m in the on0e+s1/ ewvt scean?

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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 q1hf(dz; v,l:t; tf4 bowe o9xcm diameter in a submarine can withstand a maximum force of beztwh,df1v qfo4;o:;t x (9 l$5.20 \times 10^{5} \; N$. 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 lxe: 4 ls3/ 3ueayu7 s+,-bd4qyodvbn300 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 th bjv:-oohsm5(q r: qj.e surface of sea? (The density of rj b( o: hsqq:-jovm5.seawater 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 pp jfm )dfq0ja dp yr849*6ja, g;-elperessure at a location 15.0 m below the surface of sea? (The densitg0da- q 4p*,6 ljpfajde8em9 jrfp;)yy 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 hydraulic machin dy/v)f r+;rfxe. The small pistonfd r/;+yxvr f) 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 hap;9n kav )bfd2,y3ea ms a radius of 5.0 cm and the large piston has a radius of 15 cm.map9 3y)ea2d bfv,k;n 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 diacrq .d 6kg/n a/y1iij*meter hydraulic piston. What force needs to be applied to a 5.0 cm diameter ngairc /6iqd*/y 1.kjpiston 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 cm, and its larg k xu9,ab+y,9z )qwcmce piston has a diameter of 40 cm. The lift raises a load of qkca u 9,cb)+yz,wxm915,000 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 30xsgw)lq) 19 iby-9z(b)k il kkke,3lg N in water. What is the buoyant force of the water?biw eg( gk9zx,ki13-9)yl)slk) qk lb

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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 volu r- ttn5i.5vs0dphqp: 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 solid iron is supported by a string wh3ov.ga6rqih*6zg.tigp of4/ ile submerged in water. What is the tension in the string? (The speci *3qi 6g.i/a gh6t4 vzg.ooprffic 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 golh,dd0h 6lx+k nd 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 subm 7 )ptx dzx8s)fth+)qlarine (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 akc 4oczgxi 2tgykij 23b3;,e 8ir and 6.86 N when it is immersed in water. What is the specific ,y3b;j4ic x 2o38kzegc2git k 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. Nowpsz6p qn):s8p a 20-g piece of copper (sppq6zpp n) s8:secific gravity = 8.9) 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 +e *j9k+x pljqd5 qj6z9t h d;ym7j+qfmass of 1.0 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 diameter 2.0 cm will justrgpw;2 pscg( ) barely float in wat;pgws) r gp2c(er. 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, t8-erx,uxk u3oo0x ev9l; 9kb and 0.50 m high. How many kilogramse3ot vokrbe 9; x8-9xul,uk x0 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 volumf1k 4 dd*io 7lhj,5wlme beneath the surface of the water. The weight of the displaced water is 2000 N. Whao5 ll 4w*d 1fmhjdi7,kt 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 beneath the gbate3x d):t wa)4pfks qfy69as2 ,n1surface.) w ftyfpes : gdat)k3an9s6 214,xaqb What 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 floats5y/u w x-25gvjyc tixs1b*ta - with three-fourths of its volume beneath the surface of thya1 vtis 2x-5tb-*gwuc5jy x /e water. What is the buoyant 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 floe 100 cm thick. What is the tq pxpx-2-2ihmnu6)q minimum area of the floe that will just support the bear in saltwater of specp6)hqq xxp mu2n-t i2-ific 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 pipe of diameter 3.0 cm at 2.0 m/s. bp pepb()xm9ro /5 wb)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 cm diameter pipe at oa+8v l1) zxou1.0 m/s. There is a 2.0 cm diameter restriction in+lozov1u) 8xa 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 horizontal pbmf6 thbl8)h7ipe 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 *hd /ekal7ue;z4us; fvgz6eaqke3 ;5take for a pump to supply a drinking fountain with 300 kPa, if the fountaine; zk*4v uh56;s lu7a;dea e/z q3efgk 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 occum1 (q2** 2iv g7g;lydjwbyhewrs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow out of the b;wmjd 2yiy*(7eg lhv2q g1w*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 cross-sectional a pt emeypb o*693fp7 1oaipp/ +r:poj,rea $10.0 \; cm^{2}$ 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 6s8/fa -w bsn*gu*qfnmodn 2:of 0.20 Pa-s. How long would it take to pour 4.0 L of oil through a funnel wi-snf*wsou2 fn:8g 6admq/bn* th 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 tissuyoqegpo(/ 1 j(e on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the y/o( e g(j1pqoheart 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:zosg4ivqm km05a. o8 pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tub:ovzs 54a kgoq0mi.8me 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 capill( kh11i vc6wd7 5pwxfywx1wv1 y5hkpfdi c 7(6ary 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 Ceciu wfwlmi/ 5qeuowp)4 3x764 lsius rise in a glass capillary tube witqwx wo6)wf/7m i u3u4lpie4c5h a 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 placeduwkl( -*re/yrzplr -w 4q: dq6 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 6-kurp d/ly4ewqw:l* rz(qr- one-half its original value by the 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 rectangular frame of length 0.120 m and width finbb nxg zf8-9bxj60* x 0m6jf))ggt0.600 m with a soap film fo xn-gzg8*fjg0j b06 m9xffib)nxb)6 trmed 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 side?

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80#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An adjustable rectangum5q8q1tif hd/ lar frame has length 12 cm and width 5 cm, and is built in such a way that one of the longer si8 m1qtqfi5 h/ddes 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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