The three common phases o8 rw (dadjtp(u/ ojnf),4 zer0f matter are

  Density is

  Substance A has a de ,c9 cktlpq46efld dhrc.,9d0nsity 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

  Pressure is

  Which of the following is not a unit of p1lvbetxy bgi:6.g9 +e r8 q:ibressure?

  Consider three drinking glasses. All three have the s,1-k ,k ga m:gvsq/lbb0impn 8ame 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 than A. Glass C is narrower at the top than at the bottom, and so holds less water ths gnamqp,mik bkl0bv: /18 -g,an A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressures insv acw8emcne2p) 9e :.zide and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure at they g oijtd*p 5d2x( ik0,-4rjmx bottom tjm y x2r-*x 5d4(kpojd gi,0iof a pool?

  You are originally 1.0 m beneath the surface of a q0(ekj1vyeq02ic iq,ce*yr) pool. If you dive to 2.0 m beneath ce i(e q0q)c1r2yke j y*0,qivthe surface, what happens to the absolute pressure on you?

State Pascal's principl9b 7j)rgg g+,axn2kpme.

State Archimedes' prina.x2ky2eb /hd ciple.

  $50 \; cm^{3}$ of wood is floating on water, and $50 \; cm^{3}$ of iron is totally submerged. Which has the greater buoyant force on it?

  As a rock sinks deeper and deeper into water of constant density, what happenft)qc6,tmw t )s to the buoyantt)cq)t, w6fmt force on it?

  Salt water has greater density than fresh water. A boat floats inppm)g ((gss*b .gxs 0b both fresh water and in salt s *sgm 0b)((xp sbgp.gwater. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both frei14:t*ka2t nhu dgsy2u+)s nrsh water and salt water. Compared to the fresh water, the volume of water displaced in the salt water in*21a ) 4hgnr:sttsu +uidky2s

  A steel ball sinks in water but floats in a pool o* c1. /eslnltrsl8z z,8j*qjoe5 q.pff mercury. Where is the buoyant force on the ,q l*e. scfj.jr/1e lt5n8zoqlp sz* 8ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right n1nhnm * kx4r5dext to a 10-kg piece of lead. Wh1d mrn*n54k xhich has the greater buoyant force on it?

  A piece of iron rests on top ck0t(; 737hy sroih .g4swgj pof a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water i h ;7pt3(k.hswojs04rg7cy g level in the tub?

  A piece of wood is floating in b , wyuo8.tz1gczfyfxn1t0jg,/, d7 da bathtub. A second piece of wood sits on top ofg tzty y 8.,1budo,,fj0wxf71gc/znd the first piece, 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?

  Water flows through a pipe. The diametaely0l; ss/h hn,n0n j:(f;rner of the pipe at point B is larger than at point A.:eh snn/;l f 0ah(l;rj,n0ys n Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to tw.*,vdn q1pa 9qi ymh6qice its original radius, what is t* qmahy .,pnv91dq6qihe flow speed in the wider section?

  An ideal fluid flows at 12 m/s in 6g *ckhnghelu, 3.ot /a horizontal pipe. If the pipe narrows to half its original radius, what is 6cg.khhg, tou3 *ne/l the flow speed in the narrower section?

State Bernoulli's principlexn adgfd( .tom -7-8ys.

  Which one of the following is associated with the law of conservatgy(a tml3x wy.(e)j 1mion of energy in fluids?tm . 3gxmyj ()(elw1ya

  As the speed of a movifo xo ydgt4 1k61vp:t-ng fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B isutu-a - bri-3v larger than at point A. Where is the water pressure greatest u b3vr-a--uit?

  When you blow some air above a paper strip, the paper rises. This is becagy7i 3z-;vgn yuse

  A sky diver falls through the air at terminal velocs8 n-ljs)oyi9 ity. The force of air resistance -oi9jy s)sln8 on him is

  Two Styrofoam balls, of radii R and 2R, are releas9ftt- ek a12 w*.suooe.:fgh ied simultaneously from a tall tower. Which will reach t9a*s: f fk.1eu oteoiht2- g.whe ground first?

  When a small spherical rob4) gdotj;khk2 8a-wyck of radius r falls through water, it experiences a drag force t )kghb4jawdo yk ;82-$F=arv$, 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 .

  Which has the greatest effect on the ocvos cszd16 )/2ty y0,*vvdr flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below,vt )cvv*6 , 10d dso/ryoy2zsc which would cause the greatest change in the flow rate?

  Two horizontal pipes aru35q3j ;i3ir 2*i ubtrw*xf yae 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 across the lengths of the pipes. If the flow rate in pipe A is Q, what is the flow rate in pipe B? f3x**yua33 ri5b2 rwjiq;tui

  Two horizontal pipes have the same diameter, but pipe B is twice as5(u) xb o6hrfc long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure differencefrc u)5b h(6xo across the lengths of the pipes. If the flow rate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it oft( w6)ybfanho xeu:b1 nz0ekm*. u)5lhen tastes greasy. This "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 explained in termlbe:yubknf.wn u6)h ox5ah z 01e* m)(s of

  When a tube of diameter d is placed in water, the water rises tvmdel-8fno*c);k c g* o a height h. If the diameter were half as great, how high would the we ln vg)cd8ck*; o-m*fater rise?

  Certain insects, such as the water bug, are sufficiently lightweight thi6pm4w4 a 36 uigi;)q5jiv*airn:lgk rz0r4j at they can run on top of water without breaking the surface tension. Water bug A has weight :0vq6i g5mapj*4aj ;4)zl4 n urirwg6iiki3r 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?

  Certain insects, such as the water bug, are sufficiently liu0 pc+hf3e8g+iee kzu6eq2r 9ghtweight 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 qpc38 r2e 9hu++e6gu0 i fkezetwice 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?

  A plastic block of dimensiof0: v (mzps;u (m5vkq(oxlp e/ns 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its demvve(:qpf uos(mxp(/zl; 50 k nsity?

  A liquid has a specific gravit/); 3ct lay6a)rrq:ou htfj,8lq kp;uy of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is th zzy3l7yp,w2gb /:n xye maximum pressure it can exert on a horizontal surfaclyp,7wy3 gz/z2: byn xe?

  A person weighing 900 N is standing on snowsh(qdb9wfyd.-dsyi * k )oes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 120.0 t+1 n )c) f hez9qp(l4dihc )swl2h*wtm in the i cwns4 +c2 t p *lwle(1z)hth9)hq)fdocean?

  A circular window of 30 cm diamete u6 al7pw2gch)fd99 lyr in a submarine can withstand a maximum force of 2hfc)w7ldlp a9 6g9yu$5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure if the absolute pressure is 300 kPa?m+on.dx4 p2o /d2dmm5r l7qnk

  What is the gauge pressure at a location 15.0 m bv y+mr,k.lo, jelow the surface of sea? (The density of ,ry.m okvjl+,seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute presn 3jfu*2aws nz0a1-af lvyxz-2,d.t fsure at a location 15.0 m below the surface of sea? (The density of seawater i nzs x-jz ya -u02fa,vaf3w 2tnlf.1*ds $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic mac 6x-onxn)t3r lhine. The small piston has arxn6 3xt-lrn) oea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small twnz.t(a:v0c 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 20,000 N on the latt0 c(z: va.nwrge piston?

  A 13,000 N vehicle is to )cj79 /*phy jqjntvv:be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter yn:jhvv9pj/* )7qcjt piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its largegc7 :q9 /pyugq piston has a diameter of 40 cm. The lift raises a load of 15,000 N.qg:yug 97p qc/
(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)

  A block of metal weighs 40 N in air and 30 N in water. Wc3n4qlx 5- :zhwx::b zp9cjk phat is the buoyant force of the wachbkq:nl:-pxjpx cz : 4w35z9ter?

  An object has a volume of j:h0t f-t7fuj$4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supported by a s nh lc*2n(v5k3qzzs.c tring while submerged in water. What is the tenszn*vsq23 h (5lz.kccnion in the string? (The specific gravity of iron is 7.86.)

  If the density of gol+bwf(35 hiepx d 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?

  A crane lifts a steel submarine (drb*k9hl;uv na+ qsgo0e 7 +s0bhx6ht+ pkej,;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?

  An object weighs 7.84ag (1eoxv5 ur)-q4gcn N when it is in air and 6.86 N when it is immersed in water. What isn(eo1u4rx5ga-qc)g v the specific gravity of the object?

  A container of water is ph r- 9mkb,qx,zlaced on a scale, and the scale reads 120 g. Now a 20-g piece of coq r,bz9-x,h mkpper (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?

  A piece of aluminum with ,le puxmf3al 6s/: gj;y tb43xa mass 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)

  A cylindrical rod of t d 3-a3btt+ewlength 12 cm and diameter 2.0 cm will just barely float in water. What is itbt3aw3t +et-d s mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.cstx3t/.45(d 7xftxrq 2jmam0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinksrm 5q aj3 sdxc(27x4/xtmf .tt in a lake?

  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?

  An object floats with half its volume beneath the surface of the water. eq(m*(z,ti *lz3 ueq6q2g yolThe weight of the displaced water is 2000 N. What is thzuqqyeo ge( l,*6mt(*i3 q2lze weight of the object?

  A solid object floats in v:v x);tqlrn1 water with three-fourths of its volume beneath the surface. What is the o1; l:rvnv)txqbject's density?

  A 200-N object floats with three-fourths of its volum/krfq4f;-zxajnwo,0 0r m. gpe beneath the surface of the water. What is the buoyant force on the 4aw0q n g-r0pzf/.mrk; j ,ofxobject?

  A polar bear of mass 200k(*eq mrzkfd h -)k))5icptp , kg stands on an ice floe 100 cm thick. What is the mini-p, pq5k tf)*khi)re(ck mdz) mum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. Findezh7w(aj px1 /( xbe;h the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. Thereew 6 ugr*hr0as23qqb( oo469eb/ofet is a 2.0 cm diameter restrictio0eb * grfqqwb4(/out3s6o 2 rhea6o9en in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure w2pgb oij 3/.3hoxs7kof $3.0 \times 10^4 \; N/m^2$. If the pipe widens to twice its original radius, what is the pressure in the wider section?

  How much pressure does it take for a pump to supply s4b*nr hbtv:w(v -fuf- c+x*w a drinking fountain with 300 kPa, b-rf u+4 xnstwcv**vb:h(f -wif the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank ths9w3+d9yis 51ofkp xq at holds water at a i9yqsk+39ofws1 pd x 5depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectioqz x .rjos*y89o. fj+qnal 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?

  SAE No. 10 oil has a viscosit.tu b6e:sb;tk y of 0.20 Pa-s. How long would it take to pour 4.0 L of oil throug se ;tub.:ktb6h 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 effects due to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on t qjq.pgd u9yj b1e6 ds0r 3j;4px2f1xnhe wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to mryjxd9pf qeg .13jjnd ;qx0b2pu61 s4aintain a constant blood flow?

  Two narrow tubes are placed in a pan of0 mn phey1t7ne12pkelt 20/el water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, howep0 2 et/h k1epntenyl201l7m high will it rise in tube B?

  The surface tension of watft baqq-ris2jr-jkd6 )3ottg.29i+ ld or:+ uer is 0.073 N/m. How high will water rise in a capillary or rqji2iatr t.+d3bk)+ d2lto6fus:g9- jq-tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary tube w-hndrdvv - a(74a+itaithtv aava7i4d n--+hdr( a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water ,fy2/)ovlj u z x7hqg-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 some soap. What happens q) j-o, luvg/y27fxz hto the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a heq w2z lvxg1(27b lx 6*px(uvsoap film formed within its confil12v27x( ehx6p blv zwu*( xgqned 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?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and is built inq,+okwdyr7 2vici gymn -7t2) such a way that one of the longer sides can be moved without bursting the soap film contained in the frame. Soapy water+dq, w-2n)y imkcig t277rvoy 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?