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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 phasec 7e5ndl wo)gg1) /26jf clftns 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 densfgmur+wiotu: hk u5 af9 4a0;xzs4bjg/5vr(4 ity 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 u ifgqbgzc m.ldz647 k btaixf0n q3*(2zm3z)3nit 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 three4c8l6i1 5n u x0m.zfntv6obvw have the same area base, and all three are filled to the x6nv1v towfu4b8.m 6 cnli0z5same 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 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 pressure m4uz/ wstg+dlx)t92)0il qpos 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 change (1f sualhia.aq-g m**s, what happens to the absolute pressure at the bottom of a pool.s**f1ql-au ag ami(h?

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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 dzke dd iw 5 a3r*pq.)+-duxh;zive to 2.0 m beneath the surface, what happens to the absolute pressure dkp*i+rzwa3).ehd;z 5ux qd -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 principlktq(-ef6 ki(ae.
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11#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Archimedes' pris83+e zhdh *3 gkbfy(xibl0b6nciple.
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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 wzy6 2e 0+kqdyqater of constant density, what happens to the buoyand6 qkz2yeq +0yt 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 u a;h53-k.vjj-wchz jtt:ni; . A boat floats in both fresh water and in salt water. Where is the buoyant forc a ;wnjt:j3 uh5c;hjvz. --ktie 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 fgb -5cr.fa 0gtsg-l3 bresh water and salt water. Compared to t- 5 frgs3.-a0bgtcgbl he 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 buoq j;6rotp , ach2y3ck*yant f,cyhqajr;c kp*362ot orce on the ball greater?

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17#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 10-kg piece of aluminum sits at the bottom of a vzblnfp21)z9v q;r5uv 5bfz 4lake, right next to a 10-kg piece of lead. Which has the greater q )zn bp5zfb2v;rfl154u v9vzbuoyant 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 toprfy0mo1i9gz0*8 g2w;g52 jan uy asa j of a piece of wood floating in a bathtub. If the iron is removed from the wouf;02rasg0a 5mgy8i j29ozj*agyw n1od, 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 pieceydt7pucc c. *ia3ui. 4 of wood sits on top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, what happens tou 3uc .*pt.cid4ci7a y 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 (3 j1duwjh)lzht ( 5c;*hxpp elarger than at point A. Whh(wtcdp p5l)hux jeh3z* j1(;ere 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 .7 4fbws)zyiphorizontal pipe. If the pipe widens to twice its original radius, what is the flow speezy7wib pfs 4).d 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 pipe narrow1m klput9/b,b s to half its orig9mub/ tbkp,1 linal radius, what is the flow speed in the narrower section?

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23#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Bernoulli's principle.v4d+ q+ynmd qo5v/2l:if5n o,ssy ep.
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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 ene.0 9iclhwnjft - w78pdrgy in fluw nd98.h7jpcl- 0itfwids?

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25#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  As the speed of a moving fluid increases, the pressure in the fluid064 ttj+u pmux

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26#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Water flows through a pipe. The diameter of the pipe at point B is largj5 xhx7yl7b:cer than at point A. Where is h5 lcjybx:77 xthe 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 uuz:1 iz k5:eg-x5quna paper strip, the paper rises. This is because

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28#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A sky diver falls through the air at terminal velocity. The force of tbspy0a0l+g ) 5 io*xfair resistance5l*00xoias) +btfgp y 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 fromzq(t-0 ylq d.rirzdga6e)c2 7ub)c*y a tall tower. W )qzb 0erry dtqi.gy zadcc(2l76)*u-hich 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 radi,j 86cbw aws-xus r falls through water, it experiences a drag fo awj8s-w,6bcxrce $F=arv$, 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 fluidm 3622uyxcej j through a narrow pipe? That is, if you made a 10% change in each of the quantities below, m3jju x2y62ec 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 jsorv6t 1.pmbf20+ yx are the same length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference acros o6mj2fb.0sy r v1+xpts 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 havvjm)2q .ur+, i*ecyl ve the same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flo y v).2mjeilc v*+rq,uw 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.elvzxa -n0l :2.gedqp: 1wbe1 This "greasy" taste seems to be associated with oil spreading out all dpwb21:v:x z-gen1eell aq.0over 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 diame-u lhot q9h; lz.w 7b4ie98lpq4pmk /bter d is placed in water, the water rises to a height h. Ifem 7 u8p9kqqh-4hpl l/ ; 9it4obzwlb. the diameter 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 suf kg01z- ,ztefocw,j(i: qx/uq ficiently lightweight that they can run on top of water without breaking the surface tiq :q ,0x(cwo1-jefut gkz/,zension. 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 ww830 qazue8 ar6m6exd ater bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. This is possible because the water, due to surface tension, exerts an upward force on the bottom of the bug's feet. Suppose that the maximum possible upward force on the feet of water bug A is F. Now suppose that water bug B is t uz0 waqae6d3 xr6e88mwice 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 2.0huxj+ zm o/;;q0 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its /;mjx hou zq;+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. What is its dens ov: u i9xlyldh1a+72-.lcnarmi5k p4ity?

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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 9: 9 qluico*n 6zb r2xo/k6jgpthe maximum pressure it can exert on a horizontal sxijl r kuo nop 6c:/62qb9*z9gurface?

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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 5fuc:owpa91 jon 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 a;e)abbg/ cp bxg6 a;+yt a depth of 120.0 m in the ; /;bc+ya6bb)ga egpxocean?

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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 diameted1+08yf 7.xye;h1l; zfa* wzkqwug qgr in a submarine can withstand a maximum force of yez81u qw;*k gzhwq07lad ;f+fyg x.1 $5.20 \times 10^{5} \; N$. 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 pressuqn,rq qm /nsn ,/c:u.rre 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 location 15.0 uarn6wj:eu rl ,)e 6n9m below the surface of sea? (The density of seawater is6r:wuune 6r9l e)nj ,a $1.03 \times 10^3 \; kg/m^{3}$.)

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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 pressurlp:i1 2mii.(xshjnv( e at a location 15.0 m below the surface of sea? (The dex12lp(s mih .ij:in(vnsity 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 machi (/ qj s32+gqumx5cbwpne. The small piston has m+jg5 pxqu/s(3c2qb warea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

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48#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  In a hydraulic garage lift, the small piston has a radius of vhvsjq/+ s4c*5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order v*/v cshq+j4 sto 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 bfm3z995rrmph*jnqp+g ) nxel x: +yfl :jhf:/e lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish th:xfjq9n+9 h jz )m rnphx5m:p +e*yr/3 gl:flfis?

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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 8yg) wbpo 2/czx)vj2/c.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load vy)og//b2jzc cx)p 2 wof 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 , djot 3elx1v7ud u92vin air and 30 N in water. What is the buoyant force of the ldduxj,tv1e v93 o2u 7water?

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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 2f -x)v)1yy 9mli(rfp ,oa hqel6 f0iaof $4.0 \; m^{3}$ 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 suppzc 2k -dm 1st,hyd; lx)ncm:y7w1*bj oorted by a string while submerged in water. What is the tension - ccy;)bddys mx,w17jztnm2*lk1 :oh in the string? (The specific gravity of iron is 7.86.)

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54#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If the density of gold ismow6t .-h- zne $19.3 \times 10^3 kg/m^{3}$, 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 (dhx ni)(9atfx ;ensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 airkiz ,i) (h7 qxny+ctn;sh/8va and 6.86 N when it is immersed in water. What is the s/7hay sqi8(i ,xnt c );zkvn+hpecific 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 pl*lo r ,w.i8dv9hyd;j -g3wx rlaced on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from .g9yl,;l38wh-rjri * ovdxw da 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 may cvym( a4kj,h 9wc 1zjyb4t).ss 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 dipx aip7p 7c6bcy,zfp)0wx:r nu:. /iiameter 2.0 cm will just barely float in water. What is its br0.p, fiyi6:z)i p7wu apnc:pc/x7x 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 lo/ojn.0 gh /a;r;dq0syyxfl:;ya b +vfng, 1.0 m wide, and 0.50 m h+yrjbf /qasgl;0/ :oxyvany;.h 0 d;figh. How many kilograms of mass can be loaded onto the box before it sinks in a lake?

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61#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A $1.0 m^{3}$ object floats in water with 20% of it above the waterline. What does the object weigh out of the water?

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62#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An object floats with half its volu w2;)lgxln nye:y)d *vme beneath the surface of the water. The weight of the displaced water iwnl)nl ye; y*d: 2)vgxs 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 its4ys0 wfi2im-+yz 5lvo ux78fl volume beneath the surface. What is the object's densiy- 0ufxim527ols8wzilf +4yv ty?

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64#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 200-N object floats with three-fourths of its volume beneath the surf lt6qpykt8ib2 5:,y tnace of the water. What is the buoyant force on the 2qtpt,8l nk5yyti 6:b 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 c0ry/ 7 g u9mui;gncjl0m thick. What is the minimum ag7 jgn/cru l 00i;yum9rea of the 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 through42:fwogeu6ubd0 yb c. w/ mv8z a pipe 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 pip/kl qg3 bie9,ve at 1.0 m/s. There is a 2.0 cm diameter restriction in the,9ig/evq l bk3 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 pipe witj:r2*/hesden h 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 sup0o0 sw fr5zspge*gy-9 ply a drinking fountain with 300 kPa, if the fountain is 30.0 m above 0*gwgo9 e5 0ys-zf rpsthe 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 g//l:o isa x 83ci+euatank that holds w / casi8a:ox/luig+e3ater 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 horizontal 10ei(-xthox cw6h 1ma 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 d(i g ,fc6ecy( ruj7-ttake 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 a iyd,ej(c t6r-(fguc 7bove the top of the neck, and neglect any drag effects due to the upper part of the funnel.

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73#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Suppose that the build-up of fatty tissue on the wall of bnn9 ox7c (+zjn2oa,f an artery decreased the radius by 10%.jc 9noz(o b2, fn7nx+a By how much would 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 ow b2 50youfo*62jslsnf water. Tube A has twice the diameter of tube B. If water rises 24 cm in tubejfu6 o5s2 0byl2o*w ns 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 w:nwul0sk3z/d ater rise in a capillary tube of diameter 1.2 mm?n kw/d3:u z0sl

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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 degrermc(ur*)2wfvx ep7n9 i3r z1 ye Celsius rise in a glass capillary tube with a diameter ofzrm e 1xnc*9rfvir(w2u 3y)7p
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 pa.h6y4z pf6p x5a 4vkikn 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 one-half its original value by the addition of kvpp f4kahix4.6zy56some 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 h5j8g cs7:wkwunw7i4 0.600 m with a soap film formed 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 sid 5:jwus8c77kw ngi4hw e?

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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 5t kvann 5)h,9t cm, and is built in such a way that one of the longer sides can be moved without bursting the soap film contained in the frame. Soapy water has surface tension 0.026 N/m. takvn 5)nh9 t,How much work is required to move the adjustable long side so that the frame is 12 cm square?

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