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习题练习:Physics Unit10: Fluids Related Topics



 作者: physics   总分: 80分  得分: _____________

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

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1#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The three common phases of matteh2qzccv4vby ms6n*p n,1 -yv9r 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 densityk 4rj2if2 e6ons ys*1m 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 xep3 +h wy.o 4*/ kyvib+cty1xpm3yf .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 hav 5l.rvz l.rl(se the 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 the bottom, and slr 5v.rls.zl( o 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 anmhcv6xo7stv, xti ym(8 .8f3 ed outside a tire called?

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8#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  When atmospheric pressure changes, what happens to the absolute pressure at th rtjtl2 s2j0k4e bottom of a po tt22j s0kr4jlol?

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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 theqekao,-8b a x3 surface of a pool. If you dive to 2.0 m beneath the surface, what happens t eao3-8axkb q,o 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 principxrkd(gnr+) aepx* ,;berm (8ple.
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11#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Archimedes' principitu m c:po7zp o1vmx)bncg:5 ke*,1c5le.
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12#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  $50 \; cm^{3}$ of wood is floating on water, and $50 \; cm^{3}$ of iron is totally submerged. Which has the greater buoyant force on it?

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13#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  As a rock sinks deeper and deeper into water of consta5q xq ce7lm. ki;t96cqnt density, what happens to the buoyant forl9qmte6 c iq;. 75xqkcce 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 th)ao5 um f:l)ip7ea0jm -5v)ai m1 vrpman fresh water. A boat floats in both fresh water and inl r1fumev) p 5)-: mmaompa)vij57ia0 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 fresh wagr t1ey8wsc1mk p z)p5*0qho7 ter and salt water. Comparere1 )s*yo1hgtmq75kp 8 p0czwd 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 watf3mcop2;-l i jer but floats in a pool of mercury. Where is the buoyant force on the ball g 2;p3if mcjo-lreater?

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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 /6qnut c)e3:y6x n x.gig5jkfz q0r:s the bottom of a lake, right next to a 10-kg piece of lead. Whi6q gs3)ej5:xu .ny 0 qr6ft/c nx:gikzch 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 top of a piece of wood floating in a bathtub.3 z g+wmk+wedik p+o 6)lx-7wm If the iron is removed from the wood, what happens to the wa7w 6ed zmxwg-w+ m+3olpkik )+ter 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 aow;ws+j v7 u: x/kox9x bathtub. A second piece of wood sits on top of the first piece, and does not touch xvu7o;o9k wxws/x :+jthe 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. Tfjcqqcso) rs(4:wu42 he diameter of the pipe at point B is larger than at point A. Where is the speed o4jrs:oqu4 fqcs) 2cw (f 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 in q296v5 qfioj x yhza9)a horizontal pipe. If the pipe widens to twice its orig z)a95hq2q y6ofj 9vxiinal 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 thovwy0 6)u,wcn e pipe narrows to half its original radius, what is thecunyw,ov ) 6w0 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 principb1;zgi5s 6 jqu ,s vuv9lwne.o:upvmpc7;z/5le.
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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 o-ijn5c)t+ n 5:ivhf ulf energy in flujcinf v5tli: uh5-+n )ids?

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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 fh wmn/af t3 y2hr:o:;x /mr-plluid 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 pi3w5h. sx;xg:oj 4vsyx r /hup)pe. The diameter of the pipe at point B is larger than at point A. Where is the water pressure gre.s;xrxuvpy h4w /3)5 :ojshgx atest?

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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 afhnb::j qrcj,pv3b 0+ir 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 velocj o :dqhq;z;k +1fjjs*ity. The force of air resistance on him i1jjqko qjd:;*+z fhs;s

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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 rtu(edrz0olnx0 7(w: peleased simultaneously from a tall tower. (:trn pow070ezx (lu d 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 rock of radius r 73f)+k clcz oxfalls through water, it experiences a drag flc7)ox3f zc +korce $F=arv$, 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 onnz 8k3b (e7ktx 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 rbt38nxkk7z( e ate?

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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 lengt( 7gk)fd m3d :lwdcqf(awy7/ ah, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure differen 7a3(wd7ddlf/c wy )(f:gqmkace across the lengths of the pipes. If the flow rate in pipe A is Q, what is the flow rate in pipe B?

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33#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two horizontal pipes have theuo,6iv/z7b3jojz7imjw b .l 5 same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same p37bju, w/loj57i.6m bzj z oviressure 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 .. i)aa0cnfb aoften tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in. abian) f.ac0 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,r 0 ct3vkzc.h7n*bx5pyi6in2ib 51dr the water rises to a height h. If the diameter were half as great, how high would the water risey i316bhb di. *rz cv knrtc5xi527p0n?

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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 g-1j utx1vmmvkv77c9 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?xm1 tg-17mvvcj v97ku

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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 ;mvt/lskzr9az/a5:p 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 upwarp5:zm;rk zt/ val 9/sad 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 cm x 4.00 cm has a mass of 30.0 81 rwr(/sw pgcg. What is its 1rrg wc/8 (pswdensity?

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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 o u4dk tfghm,k1r69q7ef 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 x 4.00 u1ht 0i( 7qqsdh8 aw9acm. What is the maximum prda(0a ws 98hqhui1t7q essure it can exert on a horizontal surface?

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41#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A person weighing 900 N is standing on snowshoes. Each snowshoe hx dnu elh5f99xk/ 8y9fas 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 120.0 m 9nkv.j1kwj,i5i y lig.;b3mn in the obijy,n;kg.l31m9n5 jiki wv.cean?

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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 30te 1 dofyqapzysv n)19* w48p a5*eiub/ 1.drt cm diameter in a submarine can withstand a maximum force oft54 ovd1 */y1r)ze.sq fnp8u1pta b9 e w*adyi $5.20 \times 10^{5} \; N$. 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 plf 0yz*c2e5por7upr, 7 rouend,)5y w ressure is 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 prez8,l mozhum0h 1q (9mlm 6diz-ssure at a location 15.0 m below the surface of sea? (The densi6 0qdzoml(hhuz mmm-1 9zl8i,ty of 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 pressure at a location 15.0 m below the surfa5(6d darok .(vh kc4a3gxt4yfce of sea? (The density of ovahg (ktr .4xd46k5af3dy(c 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 thamyzq6o yd xdp8*47g 8e small piston of a hydraulic machine. The small piston 8gm67dydy48 p*ozx aqhas 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 z5(h2vldbgna 24pm-b zz :e o;piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied oz 22-gn(pzv ezmlhdab ob4 :5;n 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 25fknvg6vx1gsni .1q k8ccfdp9. : z*x7 cm diameter hydraulic piston. What force needs to be applied to a 5.0 gcz gn9.71 p.sq1i8*vx k:nck6dxf vf 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 diam ) +o/)beik4 xsacpi1meter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a l/1p4e s cxbi)iom+k a)oad 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 v mtt f+ut5 fvdccil8uha1c8d; ;/87c up/yn;and 30 N in water. What is the buoyant force otf1lv 8ty /8/ccifp ;dm;n578tcc u+ad; uhvuf 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 volu1p,6 u53qc r bvc/ofosai8cs/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 while su7mk4:iy0 zrzx pk3v4 gbmerged in water. What is the tension in the string? (The specific gravity of iron is 7.86x7m piy0g zz3:k vrk44.)

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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 go7rje-f9 qdac:i*f dg/(jat +m ld is $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

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55#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A crane lifts a steel submav/mx9o8rpw 0 drine (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 immerd8* m5fiza/qt+ ;k dny(o ae4bsed in water. What is the specific gravity of the obj4o +/mqy(ab n8;ta * dz5idkefect?

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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 place3ux5k3yiz9rh-6 ypapd on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity xirhp53 3 kyy96up-za = 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 bc.7 j (v:ptreand 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 just barely floa0q.vpdzf / k6ot in water. d6f / kvzop0.q 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 neglix4p3h,a b.4 amijfrzo ufhw8 r:c9w)v6u* :fygible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilogra4v3fw6czr.o,ba4fx: 8mh)wu ufj yap*9 i:h r ms 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 wo*+)vd-jgey3nqk/z h ater. The weight of the displaced water eovd* nk3j -hyg +)zq/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 4wl/p m1n+ll9njv2 hf volume beneath the surface. What is the object1jl4lf2pml /9+nhw n v'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 volum; -wbjed4r+go e beneath the surface of the water. What is the bd +b ;-4erwgjouoyant 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 6tzz1let u.p5c :jcs5cdvw+9stands on an ice floe 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 of ice is 0.9dz9.jztc cv1e t u5sl56:p +cw8.

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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 fld:h/z5)/+p:n kqsh 6snem h acow 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 1.0 m/s. Therest3 xpjd;o6 i4 w9je8/qk, drm is a 2.0 cm diameter restricti,q4spi6 t; w 3/8rm9ekodjd xjon in the line. What is the velocity in this restriction?

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68#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Water flows at 12 m/s r/b tiur,-d c3bw3w;ain a horizontal 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 pump1j8q jvalr 0 j w9/v1:;vkhazg to supply a drinking fountain with 300 ka10jrvk98 wqh;g v a: /vjj1lzPa, if 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 mm occurs in the bot pw1. 8q rhi+zt/.dkfhtom of a water storage tank that holds water at a depth of 15 m. At what rate will watf1hd.i +8hzwp krq./ter 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 * z j02-zesvsh7-cod apipe 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-f;*l6ip;*v s+ vnhd yqs. How long would 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 effec*ql p +;;6hsiy*fdvnvts 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 arter, 2smq) vdupjy8c24qry decreased the radius by 10%. By how much woulddm)vq uq,2pr84j sy2c the pressure provided by the 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 water. Tube A has twice the diameter o4ic*jp e06ow vqx ,*vof tube B. vwojv4,*p6 0ec*qox i 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 inle4jw + q4cy e0ja)xmt. vph :(dxi,/ fv-3bur a capillary tube of diameter 1.2 mx0iu(4- bf j)mcrywltaee p3 +.dq,4v xh/vj:m?

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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 Cel:mga qktzo :**s cmq:4sius rise in a glass capillary tube with a diamsq *g k:mcz4o q*a::mteter 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 place6 nbom..gsmop:ky 8;a d 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:p.an;8omm 6g yb.oks 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 /+tka4rz )t3 uqp7 sbc7wcr a,of length 0.120 m and width 0.600 m with a soap film formed within its conftru krt3ab,w+as4zcp7/q)c 7 ined 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 hkuyi e2;:y+gaj+ i7aur i2q1 vas length 12 cm and width 5 cm, and is built in such a way that one of the longer sides can be moved without bursting the soap film conta7ea +:v1;ak +y2ij2u irqgyiuined 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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