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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 of matt ed) 93d.ge: axhuvxny982owz3 eq;r per 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 densio(y:,kgg6t; yv. il+ cj mmi0oty 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 p buo-c, +fmj qp5j.m 2e4ndb9rressure?

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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 ;tw7/6a vldbuthe same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wider at the top than at v;a6twl u7bd /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 outsi9wsn3n tahc)9 de 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,g+1 sg4/mdsby what happens to the absolute pressure at the bottom oysd/b4g+s g1 mf 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.g5 5b kksr,/u (f94 8bmcjeikl0 m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happe8f9 bj r54kki l,k ucgmesb(/5ns 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 princlz 0 b,;mt0 (qup7byjkiple.
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11#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Archimedes' princ4zvkslkrbn32u* na + 0:ugno 3iple.
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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 wh3pldr *2b 1uxater of constant density, what happens to the buoyant force on iuld xp2*b 31hrt?

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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 .-c oekgkhc a8t (9+shtm5g a0((gklvboth fresh water and in salt water. Where is the buoyant force gc08sc-e(h k +.khgg (lt g a5ov(makt9reater 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 bot vgt2x c7xwj-y8:0 yswh fresh water and salt water. Compared to the fresh water, the volj 8 v72w x0ctx:s-ygwyume 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 floak cvowk17q(c p) v1h3utm8yf (ts in a pool of mercury. Where is the buoyant force on the ckq wto m(v71) vkcpu(hyf381ball 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;y+bj vyv 6t)o bottom of a lake, right next to a 10-kg piece of lead. Which has the greateb ;yvv+j oy6t)r 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 piek x5-kifi9d4q ce of wood floating in a bathtub. If the iron is removek-9 d5i4qxikf 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 bathtub. A second piece of wi , jlnr+vfc,kv25vh 4ood sits on top of the first piec24 k j +vhnfi,lvr,5vce, 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 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. T.96mx 0rjc qhrhe diameter of the pipe at point B is larger than at point A. Where is the speed of t6 q h.0crjmr9xhe 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 in a horizontal pipe. If the pipe widens to 3tbr l6e1xm.cz)pn u5twice its original radius, what cme 63tx) . n5zr1pulbis 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 pipy t 6y t8souphdc qzm6,d3b 3v7f;i,9ee narrows to half its original radius, what is the flow speed in the narrower sect7c39e8up6foh6ymyit ,,3sdv db ;tzqion?

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23#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Bernoulli's princit4bhc8q 9n7 7aqnfefr8;h5c kt8 yzp- t-5s kvple.
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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 fol ckqf-7y4lxhb/:aj 9 ogb6d+t lowing is associated with the law of conservation of energy 4yjkqdgbac7h/fb -l9 xo6 +:tin 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 pres5fuhto; (v+5 gto5wt nsure 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 pointhxkf5v5.xbwp v05o4 o ipw (y* B is larger than at point Awv k5 .0y5h5iwvofop*x xp4 b(. Where 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 a*; e( sgbiy0gadsa4ovk-kg0.bove 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. Thm0 rst bd)(m:xe force of air resist d(m0rmbx:s)t ance 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 simultaneously from a taj gts2kq5jx,0ku5lj -0z )t kbll tow sjqz -2tukj5k)b0l0 5,gktjxer. Which will reach 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 rockgl;vn5 z+-f0rpc57oouo twc - of radius r falls through water, it experiences a drag forcnc5w-gol0v+ forc7z; u5op- te $F=arv$, 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 ec3kxuo*, atkomv0: h3n01i hpffect on 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 flv1*o u:3ctm ah0hk3 0,npiox kow 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 length, but pipe B has twice the d47qprnhvq6 zo c pi7j4-j; c,3 ugwrs.iameter of pipe A. Water undergoes viscous flow in both pipes, subject to the7-r6h34;jcucs ,7r pzq.oi w4p gvjq n 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 havs -l/(hlu4+myh 9 tatbe the same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous f-ym9 tsl+ ha4(tlbuh /low in 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 greasy. T.8/i2vr-xja xgr fdq1his "greasy" taste seems to be associatediar1xr.vxj8g -/df q2 with oil spreading out all over the surface of the soup, instead of 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 diameter d is placed in water, the water r-ivm . mtd(ie)pjciudm c khg1ft 3(f;-4g (w2ises to a height h. If the diametdw1ick-j 3(umic )h f4p(fgmt;e.m-( vdi g2t er were half as great, 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 srwv2dz w tuqhjc24 2 .x+j-s.mufficiently lightweight that they can run on top of water without breaking the surface ten2wtr22 du4x+h c.vwm z-.js qjsion. 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 lightwe3c jy 3m+bp-4ykz.k e1*fphjuight 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 -j 13 kmp.3hcz bej*ypuyk+4fis 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 cm x 4.00 cm has2xr(sb92g bn z4etoq1 a mass of 30.0 g. Wh(x4 og2qb921rsbetz nat 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 grak/:3rg(kh:mc,bbhp 84oh(ga cu d3 v rvity 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 xli4zd pd16))ej0f6vafrccc i hsm+6 ; 4.00 cm. What is the maximum pressure it can exert on a horizontal surface?cv dedl1;+i6 ij)4fm6 )cr0h6csp zaf

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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 sno.v z i+0agx99 hbwmv1b;jo7uzwshoes. 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 (absolu4oeo kagt7ic** c0v,ate) must a submarine withstand at a depth of 120.0 m in7ak 0c*egoto 4*ac iv, the 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 sub gm;n 7z0ng/ygmarine can withstand a maximum force of7g0;nn g /gmyz $5.20 \times 10^{5} \; N$. 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 3htms,6p0sd 9ht : u:jq00 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 15.0iy d15wn+k/: mllhx0k m below the surface of sea? (The density of seawatnlmy1 kh/ l:kxwi 50+der 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 x r i(,3fi/wt1 inm-2b)yqara location 15.0 m below the surface of sea? (The density of seaw t n,wiqyf aar1m2)r/ 3bxi(i-ater 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 machinwhutk6vfiyf5 x3 3f3 (e. The small piston x(i w k 3f3f3tuy5fhv6has 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, w p2 da. zb9hq03vj:blm ls.2pthe small piston has a radius of 5.0 cm and the large piston has a radius ofpvqw29bs lm:3blp .2dja .0zh 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 by3ucwu6vqkut ) cgzbk0 :dd-8 :v8zh) w a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish thi)g0du:v )qdu8zv -w3kh: tc k 68uzbcws?

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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 d jw 0*p1sdrx+eiameter of 8.0 cm, and its large piston 1*0xw pr +desjhas a diameter 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 andotomjw89 n2p2 3.mcxk-m 7spj 30 N in water. What is the buoyant force of t9mp m -k.n28x tmj2ps3c w7ojohe 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 volume h 1 a53cazud7hof $4.0 \; m^{3}$ 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 solmho hzq(a8z v1au3gp (k) jm9/id iron is supported by a string while submerged in water. What is the tension in the string? (The specific gravp (uh3zqz1oj( k8ah)9/mv magity 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 1zq rc ,0ndamd:moc43d 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 s-omdl +laootg8xz+; 5m bzd 93ubmarine (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 it is imme0*jj(t28 w pbjwbbzxustg641 rsed in water. What is the specific gravity of tw1( 8b b0uj6w2jsxzttj*4pbg he 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 12t17b b;dbgfqg 1e8o)pw (fp.c0 g. Now a 20-g piece of cfdt .7e q;w)1g(o c8bpf1bpb gopper (specific 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 mass of 1.0 kg and density of f* 13bja5)zvo pxbi2 b$2700 \; kg/m^{3}$ 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 d s mhaur0i2 uf*+ryga,c4.e. wiameter 2.0 cm will just barely float in water. What i.u ,rg fe hi+.wrau0a4* s2mycs 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 rmljv 990 yqrt /j(p1mm wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box b (90y q1/rlmrt9pmvjjefore 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 beu)igar ;x-i6-wyu8m t i4i ks6neath the surface of the water. The weight of the displaced8; )ua4xiw r6g-iuimt-k is y6 water is 2000 N. 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 b o ;2cgd u86oz+.s(rmw lk4axteneath the surface. What (su 2k4;.ow68tlc d gxo+ zamris 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-fom+5zz+s/hk m5t,ydzu urths of its volume beneath the surface of the water. What is the buoyant force on the oz/+ z5ymszd umh 5+kt,bject?

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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 on7h z/,eincd;y an ice floe 100 cm thick. What is the minimum area of the floe t;d hcy ,en7z/ihat will just support the bear in saltwater of specific 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. Find the rf;*dm vni wo4i/n/-s8/ gimp 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 cma kv6a zplvs4-, vz699l;nkr 1e ipgr+ diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the vel6ia99arlk-,l p;zg+nzvv pe k614r vsocity 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 horizon5*ns otcu/a9 y;qeymdbigv;ryoadm, :2::f (tal 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 drinkib8c( q+neex1ing fountain with 300 kPa, if the fountain is1qi( bcex8n+ e 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 of a water storage tank thatjd8t /xkivbl c3 8(u8w holds water u3lc8k8wd bjv (xti8/at a depth 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 horizsryjbd*c(0o 9 ontal 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 would it take tos26o 6,6 df ;rqbjlh)j6ewqvb 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 qf)r qob66j 6,ld;6e2b vhsj wtop 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 artery decreafb 8b8um wg1b9iil6s3sed the radius by 10%. By how much would the pressure provided by t ibm6i8w s3lb 8g19ubfhe heart 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 of waterevo :2noay+5moohc78 crtru l.d2k 9/. Tube A has twice the diameter of tube B. If water rises 24 cm ho2m8u ra9:l oo5tk/ 27v y doecr+nc.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. s40qw)fqlunk uw (;8q How high will water rise in a capillary tube of diameter 1 lk(n wu;s)0f qu8q4qw.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 glass capill)jxztp.+l-(p j yr3zyary tube with a dia (yzyj).xjt-zrpl3 +pmeter 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 ofi *vfxneq9 81x water, and the water rises in the tube to 4.0 cm above the level of the pa89*qfx n1 vxein. The surface tension in the liquid is lowered to 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 0.6.nhqo. i8l;cxt i;k*i 00 m with a soap film formed within its confined area.i.t; 8 .n*ox cihl;qik 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 built fo9 d;k4voat;in such a way that one of the longer sides can be moved without bursting the to9v o;a4 ;dfksoap 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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