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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: 游客未登录  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 matter aree9z d3 b6xmtyya9;g0w

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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 densityxm80h)9 fsgg m0v t7fl 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 istf unh j:n*y)4 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 bg7 ypkdo:dz1p/6, tnthe 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 so holds more water thbz ,t1 kd6p: 7opgdny/an 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 be bt)fg*ko31ni)y u /zttween the pressures inside 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 changes, whaasgcy--t )k o4t happens to the absolute pressure at the bottom ota)-- k4goy csf 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.l8cvx77iawd8/79mwl(my o es If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on a9vxl8c i7sl7mme(7w8 wd/o y 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 principlvnmad5 u90l-,m nc zkr3y 3t*ye.
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11#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Archimedes' pri8tymc lds/((snciple.
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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 deep0ej.*ef7t rzrer and deeper into water of constant density, what happens to the bfjr0*e7z .etr uoyant 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 fresh water. A boat floats in both fres/v rp+5 b0n 2zw+ucec,pjr+vkh water +rck,vw /+u+ czerjpv5 n20pb 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 fresh water. A ship floats in both fre0yf 5ejeyz*e- sh water and sa0z -*ee5efyyjlt 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 the bt3q r 1:o2.8m,bmx1jc ha gyfkuoyant force on the bamhr1bg f k2x.3o:j18 ymqt a,cll 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 bottom of a lake, right ne -hmfn0.qe.ul xt to a 10-kg piece f.eln-u0mh.q of lead. 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 top of a piece of wood flcvuy(r 3ni x;)oating in a bathtub. If the iron is removed from the wood, what happens to the water leve)c(uxin r ;vy3l 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 piecemt2bq5, zo8dnb;2a h o of wood sits on top of the first piece, and does not touch the water. If ;2tb85d b,ahz noom2q 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. The diameter of the pipe at point B is larger thj-dg t(rosvg ),, j8duo+e:xfan at point A. Whejx: (+e ,sfjot8dr -,gvd ogu)re is the speed 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 in a horizontal pii)a/0b 0wls rwi:)v9p3xa*7lgcg ce ppe. If the pipe widens to twice its original radiusi/g*vcxp e )ri 0lps3gwcb):aw 0a7 9l, 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 them:c5a..0k ii2nik;: 48 q heluyyuolt pipe narrows to half its original radius, what is the flow speed in the2.nm. il 8ioa: u5likk0q y yeh:4;uct 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 principjkr pa,x .07ffle.
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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 iseb*:g8cgan 53uau; co associated with the law of conservation of energy gc*g:c 3auae8bun;5 oin 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 pr ycnho)zkvxt n,d/d+pp : n68k(/t/abessure 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 poin*vp1 srx g; x08gtvaski:5j /zt B is larger than at point A. Where is t* at58g /r0vpzs: kxj; xi1gsvhe 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 paper rises. This is becauseey w9 sx3(;, u iiba7owi0pw6s

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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 airzxks oi ;h-ev; eqk/gc6 ;f8/p at terminal velocity. The force of air resistanfhk /-x;pesv;q/;oz 8ekig6cce 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 simultatnmj(k6*q(wngy abt3h )e2 5fneously from a tall tower. Which will reach the groundf tne*m3(5wka6 q(nhjg b)2yt 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 ech1hzn-,qa:m4(jryb 05e j lr falls through water, it experiences a drag force 0m5-:nlc q rah1yj (heb zje4,$F=arv$, 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 narrow antj3 c2b4)go* jr7l zpipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in t2c4* bjj zgotl an7r3)he 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 length, but pipe B has twice the diameter of x cad/p.j mh.u.h,l-c pipe A. Water undergoes viscous flow in bothp chdluc/ ,.xh a.m-j. 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 have the same diameter, bi4 1 xf ivyxcv 22h*dcfw1fiv, zr/+5dut pipe B is twice as long as pipe A. Water undergoes viscouz4fx1c 2df+c r/iii *wv fdyh5,vv2x1s flow 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. Thi+v4sjsw2gn le6t 5 me95at;t ps "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", this is readily explaipg 25v t ltw;+ej95sea6s4tmn ned 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 wateordjx4b o8.d fds(o ,1r rises to a height h. If the diameter were half(4fobod 8dxo.sr,j 1d 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, suchy1jb3 sipig18 as the water bug, are sufficiently 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, etci11yjbp 8gis3 . 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 lighr7bzy+ l f3 yigd1d0i0tweight that they can run on top of water without breaking the surface tension. This is possible because the water, due to surface tension, i70zg0f iyd1r +ly3bd 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 cm x 4.00 cm has a m,fm z-9/q fwbfass of 30.0 g. What is its densqw ,fzm9b -f/fity?

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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. What is its density?(sdf pvdh2rv1, (umu0

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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 cm. What is the ma/vs1cc q4rai o;v5r x;vrixa1 sv oc5;4;rq/ cximum pressure 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 4 y5+ri-bye tkpnnqgc 8;(x+ zN is standing on 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) must a submarine withstand at a depth e yw2c,y0;yn;uxfk0)i oft x/of 120.0 m in the ocekftcu;2,w x/;xy)0iyo0e n yfan?

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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 submarine cmphh;v, sa4.nan withstand a maximum force ov ;m4s,nap.hh f $5.20 \times 10^{5} \; N$. 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 pressurzrp4op:ys6l*(e q8 smrc k4a, e if the absolute pressure 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 pressure at a louui v6xzjev) h.1 ndgk82; /uncation 15.0 m below the surface of sea? (The density of seaw8uzg k jvvni.xne1 ;)du2u /6hater 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 surface o8r)i ( m1 7*ylxkpmstff sea? (The density of seaw(rk1 )s fti*x8pmlm y7ater 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 tnaaz6mav r6l6vdm mo 4; w:59piston of a hydraulic machine. The small piston has aredaarmtvw6z o:aml;64n5 9 mv6 a $2.0 \; cm^{2}$. 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 gk9 m mnd/x6o,j8b( trsmall piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to lift a car weighing 20,00x( t6mj k8o9bdgnm/,r 0 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 , (pao zxulkytca u+k n3w xa+0*a8u43diameter hydraulic piston. What force needs to be applied to a 5.4zu 8ca,+ uka0xn*ux3l tw pk+aya(3o0 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.kcqg67c, )okp 8te c 80irbit a diameter of 8.0 cm, and its large piston has a diameter ofrec)7ic. kg6pt0o tbqi,ck 8 8 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 and 3gd syq3-5c7g f0 N in water. What is the buoyant force qsyc5gg7 -fd 3of 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 volume owe81 rd)0njfytn0px3j (u+aah3n ,fz f $4.0 \; m^{3}$ 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 wh*: 1uc8p 7krvph3zw lzile submerged in water. What is the tension in the string? (The specific graczzk*ur lh138 p:w pv7vity 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 go) yew9l (qu4byld is $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

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55#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A crane lifts a steel submarine (density = 2ubo*)msb6 e k.j0z zb$7.8 \times 10^3 \; kg/m^{3}$) 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 ahzscl: dbe3 fel dseb0cy173 m)6q8g5nd 6.86 N when it is immersed in water. What is the specifi8edd: q 1sfs7b e ll3by5mhc0gez)c63c 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 sc0d7u6 bmh m8szvgn jr/91y* jhale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended fromj6bu hj0zn /dy1m*ghmsr v 789 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 x8-w7mvihw u; p7a. xo1.0 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 just barely float 4ywjhq 1 95ownlqr/31bryd4gz )p;yp in water. What is its mas 5 hbzwj)wp 9pd1/ryql4o31yn r4qg ;ys?

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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 5.02yv ;yz8bc)uyje+ vo9 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks in +cb ) z;2uvy9ovy8j eya 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 surfactn0 3kyx: 5ri )mgkd*me of the water. The weight of the displacek53mkdgm itn 0xy:) *rd 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 1xi(ini314cvqydd 6/ zk)5z nqnkzk4 three-fourths of its volume beneath the surfaceqydzk1n d45vx6c13 )zikzinik/n q4( . 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 floats wik 46hsyp1 vab0,d69 yabe ;swcth three-fourths of its volume beneath the surface of the water. What is the buoyant ey,0 vw6adkbc s61sa9b ; hyp4force 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 thig p(ha9 / omucb73idg)ck. What is the minimum area of th3d c(oh)abm9i upg/7ge floe that 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 wcv.16 amhus-lsq: o4pipe 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 4.0 cm diameter pipe at 1.0 m/i6x)es djgu6h. (b po)s. There is a 2.0 cm diameter restriction in the line. What is the veloco j)dsiebuh(g.) p6x 6ity 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 pipe with a p-cxe16u-roe t ressure 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 dri ps.g9pyja53hnking fountain with 300 kPa, ihp g 5y.9ja3spf 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 bottom of a water sto pu39 tr( jczdo34hq6arage tank that holds water at a depth of 15 m. Atd3q 6(ajpohcrtz9 34u 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 horiz6yq3k9l pg:n ,cx7stkontal 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 to pourspz1/ p 6;kbmcydw )y7 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 y/pzc pk6bs1wdm ;)7ytop 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 ofxf- 1 n67:iefet ot0ye an artery decreased the radius by 10%. By how much would the pressure provided by the heart h7nt x 0et1ei6f:eof-yave 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 panlh.fza+i ipd *(a24u u/*dg cq of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in tube B(.2 u4/daz ahpuicq igld+*f* ?

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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 capillx cep3k g)5x; w* arcuqw3gi:(x 53x; a rq3ge :)kwccugi*w(pary 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 glass cafwy8p;a4 4tvlzvrd-74e zi5)kg+i bj* zm l 2cpillary tube witka c-ly zmflep44t viv ;*+j4d8 rbz w)25gi7zh 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 placed vertically in a pan of water, and the water riseokh: y.hwpf,hqr20 .r s in the tube to 4.0 cm above thrk 02hpqo,: hfh r..wye level of the pan. 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 0.600s;demkl (8e55vv y*. diqq8vm m with a soap film formei em;.dv v(m8*qql kvsy5 58ded 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 rectangular frame has length 12 cm and width 5 cm, and is built iv k2.llh)2kizn such a way that one of the longer sides can be moved without bursting the soap film contained in the frame. Soapy water has su2 l)ki.v2zlkhrface 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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