The three common phases of mattnje hf9ymn+1o4n.dhag 2l- 6ler are

  Density is

  Substance A has a dens urkc47qy5 aq8gk: 5gkity 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 followij v: r80dvyuw(ng is not a unit of pressure?

  Consider three drinking glasses. All three have the sa)sh4y r00qxm9,ax inime 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 ho 04q9i0hmyrsxni,) xalds 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?

  What is the difference between the pressures inside and outside a tx3qug sbz) p3 h4j5xwyb2:ht: ire called?

  When atmospheric pressure changes, what happens to the absolute pressu) ;,lbn1m,x:uyy zc- kug u.fure at the bottom of lu,m uy;,cnkxu -yg) u b1:.fza pool?

  You are originally 1.0 m beneath the surface of a p4hfi spglt kq8p t/b+i4( 20rrool. If you dive to 2.0 m beneath the surface, wl g4p+ tk0h/8btri(p 4f 2qsrihat happens to the absolute pressure on you?

State Pascal's principle:,lnxbvn9 z7c6.ojzr.

State Archimedes' principlr3pi u h t*:jqe(0.ljwe.

  $50 \; cm^{3}$ 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, w4 gi5xy*o(npo hat happens to 5 x4*y(gpoonithe buoyant force on it?

  Salt water has greater density than fresh water. A boat floats in bon e09q hrk(f)b/ke*xo th fresh water and in salt water. Where is the bu) kqfrxn*ekh90e b/(o oyant force greater on the boat?

  Salt water is more dense than fresh water. Apk2ns .m4ku ,o ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt water suko4,2.km p nis

  A steel ball sinks in water but floats in a pool of mercury. Where is the budg7j2bg6/lab; g ( dnboyant force on the ball greater?6 (ggl2bda7jgd bb ;/n

  A 10-kg piece of aluminum sits at the bottom of a lake, right 6tj;oxee d9ivebg0 :7next to a 10-kg piece of lead. Whichb;7 idgj 6ev0o:xe et9 has the greater buoyant force on it?

  A piece of iron rests on top of a piece of w bc*hb7 xi 9l ugwi22z/wwg(s6ood floating in a bathtub. If the iron is removed i6ww/icx2w92bs glh b7z*ug ( from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A sem wp*j*5ht,*f fr k,dxcond piece 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 to th f xk*w,**t5jmhrdp, fe water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is larger thaq5x-) b2vuz; wjf/sij n at u25;xj svzwj /b)q-f ipoint A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe nwspbu e3)hb334*j kwwidens to twice its original rp)hjkb*s 4b u3 33wewnadius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe fphk8k., 9b benarrows to half its original radius, what is the flow speed in the 8kb.e,pf 9hb knarrower section?

State Bernoulli's princidl64g b)hh.xkrg-j)9i( dhfnple.

  Which one of the following is assof4qk )5v,-g8zun9:dwt dv+hrce r; imciated with the law of conservation of energy in flu hd,ivv- 5;zfg rmdwt9rc :qu 4)8ekn+ids?

  As the speed of a moving fluid increases, the pressure in then7ls lr9 b7kj+u z5l,h fluid

  Water flows through a pipe. Twgr l js3jud b8s)3ysljt,)* 2he diameter of the pipe at point B is larger than at point A. Whe3,sg jtbs lrw3*d2s luj)yj)8re is the water pressure greatest?

  When you blow some air above a paper strip, the paper rif 5zm9jlr *g:ti zn4sn8,+k woses. This is because

  A sky diver falls through the air at terminai2r3, 2p0r/7f e i;faggy x7lydjlyec)+ww; ol velocity. The force of air resistanpe g+ df; 7,wr/li3wy20y)2c7gl;e oyfaj i xrce on him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously fro4s*x-ni09cpp ydacf3 m a tall tow pn0* dc4ax9-3sy cipfer. Which will reach the ground first?

  When a small spherical rock of radius r falls through watrd6b a0jxfw4g ndw-04fr ys 6bcs (55frlgv .(er, it experiences a drag forc.xgsfry(d(g4 l0 aw5rw- vn06s5c 6 dbfbfj4r e $F=arv$, 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 flow of fluid through a nar7ajkup bn6ee*5s+ 4ts py,x 2qrow pipe? That is, if you made a 10% change in each of the quantities belp5xy+n4,2aeuetb 6q *j k ps7sow, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twiceo1c; bgfy mez/b)4li0 4k3qjz the diameter of pipe A. Water undergoes viscous flow inq0oz/cbkj4ygbzmi) e 4 l;13f 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?

  Two horizontal pipes have the saeqpi61f.vxuu *aze )/me 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 u x1.vi)f pee6 /qazu*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 often tastes greasy. Td*8io9nfyo1 bv5g,j ahis "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 explaineb f1 vogoad*n8 jyi5,9d in terms of

  When a tube of diameter d is placed in water, the water rises :mp*guw8f,tst n/ :l zto a height h. If the :l pm8*f/ gtwu: ,stzndiameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sumz x8b 8 pohhgzx4/p :;2yy9(m tj9ejufficiently lightweight that they can run on top of water without breaking the surface tenxoupy 9pj m:982 ;g(em8hyhz x4/bt zjsion. 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?

  Certain insects, such as the water bug, are suffic.z5hbr9el ch2iently lightweight that they can run on top of water without breaking the surface tension. This is possible because the water, due to surface tensi59rlhhz e 2cb.on, 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?

  A plastic block of dimensions 2.00 cm x 3.00 cm x * j n5 us t7sqccl7yqve505o-d4.00 cm has a mass of 30.0 g. Whateuvsd-t 5s*0qnco yljq5c775 is its density?

  A liquid has a specific gravity of 0.357. What i,3c4 h aycz pmbq/d l)j)+atg0s its density?

  A brick weighs 50.0 N, and measures 30.0 cmtem s: kkzd9(2 x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal m:(k9 tdzke2 ssurface?

  A person weighing 900 N is standing ovyp1 i(vyox sg4+7z( 9 hpy1s;g 1bgpvn snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a dnv. ka,0tb vt/ gsvpco9bs 691epth of 120.0 m in the oceac6tp/sb,9v tbgo09 s v1nvk.an?

  A circular window of 30 cm diameter in a su8wx -wzxj ghly(3 /2w +0 wvu,cpbavq9bmarine can withstand a maximum force z wv uq+,vxaw8x3yjl(92g -pwwc/ bh0of $5.20 \times 10^{5} \; N$. 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 prel/zc+9 jm g.awssure is 300 kPa?

  What is the gauge pressure at a lsrcg9g5-6ax1to m8n kocation 15.0 m below the surface of sea? (The densit cx-s 89gmakg5nr6o1t y of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a lo.r)s. rsehk by 6lhd79 et 8epjpj,11pcation 15.0 m below the surface of sea? (The density of seawater is es sph8.k 6pj br7,hpd.rjl)y t1ee19$1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic mwbzbaq m;r )((achine. The small piston has areb rzbm(; qw)(aa $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small piston has a radi rz7 -xhp* fwe12,e2vv my4ppeus of 5.0 cm and the large piston has a radius opxe r2*4e,pe2 w-1hyvzvfmp7f 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?

  A 13,000 N vehicle is to bbw6ww 5ei ;k303 vhhqkts thko,+ /q0be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish thisi,/kt qwhtqweh;30 5 6wb+kok s3b0vh?

  The small piston of a hydraulic lift has a diameter of ,drlqmhko cew+ 49j4a 7b)7ek8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,0)chm9e4o qwkkal4br7j, 7+de00 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)

  A block of metal weighs 40 N in air and 30 N in water. Whxr)bz09)w g t5xiukq 4ih/tk,at is the buoyant force of the w/hurk9,tz 5x)xkgi i 0tb )w4qater?

  An object has a volumhoh3q7 z )bx e9cofyqw+o l/*.e of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supported by a shne/iaz *hn-8tring while submerged in water. What is the te nh/n*-ieaz8hnsion in the string? (The specific gravity of iron is 7.86.)

  If the density of gold is n 3f2(f)pllq8fdl)co$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel subs- 8ey7ruzk d;marine (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?

  An object weighs 7.84 N wqft8z9;nrov /9j bejw+b24pra:b v5ghen it is in air and 6.86 N when it is immersed in water. What is the specific gravity of the/bbjwa; 492 pr8:ej bfzo+ 5vntgv9qr object?

  A container of water is placed on a scale, and the shyqr gj ,m/0:ucale reads 120 g. Now a 20-g piece of copper (j/ : yrm0,qhguspecific 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 a mass of 1.0 kg and le+d sx7hvm4 w5 2v+ q,zdcufgf-b,7c c0ag) fdensity 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 length 12 cm x kd5eri- o7xt4-lh3z and diameter 2.0 cm will just barely float in wate zx5rto-43 7hxe- dlikr. What is its mass?

  A rectangular box of negligible mass measures 5.0 m7pgiy p dpw;8w2.d bedo4p5m1 long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loadeib 5w7 1oy.p;ppdm2ewpd8 4gd d onto the box before it sinks 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 water3,aw*50. zxopg2ega tvdpf50vwq 7io. The weight of the displaced water is 2000 N. What is the weight of the obje.wpv o5pt og,2ex0 7*0v afgqiadwz53ct?

  A solid object floats in water with three-fourths of ita. j aa*9p(f8qan kdd4s volume beneath the surface. What k(.8*ad9 aaj4pq nfdais the object's density?

  A 200-N object floatsk798awd6 t yaj b2j.)citfuv/ with three-fourths of its volume beneath the surface of the water. What is the buoyant forcdfj96b2)utc a8ikw.tvja y 7/e on the object?

  A polar bear of mass 200 kg snp3j1tms 9 jj*,i :q gw7sul-dtands on an ice floe 100 cm thick. What is the minimum area of the fli9,lg:nuj 7jt1*mp3- sjsd qwoe 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 dia c9v rvdr73rdo3 w jnm 2dt-4ln5h-ze3meter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm(jf7),t/rjesh ,r pndu yk909vd u/mi diameter restriction in the line.tdhyf mrd, , jrn 07js(9i) pue/v/uk9 What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressures x7gm6 qie0 tla(u 8ppo(((pxgcm 0:g 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?

  How much pressure does i1zr /jqedtl jz6ccj )qj05q *6t take for a pump to supply a drinking fountain with 300 kPa, if the)q6ez d1qj 6jcj/ cjr 0tl*5qz fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom ofhuf5l v)4mj 8f a water storage tank that holds water at a depth of 15 m. At what rate 5vm)h4fl fj8u will water flow out of the hole?

  Water flows through a hgd)q4i 1l ,jk/ur, bmoorizontal 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?

  SAE No. 10 oil has a viscosity of 0.20.9+wttsz fgp);h/gyq Pa-s. 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 effects .wh ypg9t z;s/tg)q+fdue to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an artery decr1z- 1vnqvs, lbzlq o t8pc0q.+eased the r-0 ,.t 1zz1vqq snvp+ bl8clqoadius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the diambnsb-6of53 uu eter of tube B. If water rises 24 cm in tubf5o- nubs6ub3 e A, how high will it rise in tube B?

  The surface tension of watergfq gr)b 5u1-j is 0.073 N/m. How high will water rise in a capillary tube of dirfg b)g15q j-uameter 1.2 mm?

  232

  To what height would water at 0 d kivn ap/o 0be4 9.+ b(+e3mvgkltv3k0milr)degree Celsius rise in a glass capillary tube with a diam) 9mi0ek( et/v3n 4la+0 vor k +k3dgipbm.lvbeter of
0.50 mm?

  A narrow tube is placed vertic 5u,-5u7tmdce*z cygv0e ngo: ally 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 lowered to one-half its original value by the addition of some soap. c 7gud-m,oun 0czyv5g*te:e5What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m wi) jx/ um 9qr9o;vd g)mu2/.hjboz-mczth a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force does z o/ vju/mom2dj.m-bh) z) qxcgr9u; 9the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and i2w 7 yhb ko4yn7ci:gi+s built in such a way that one of the longer sides can be moved withouh7iy cgn:bo 4k7w+y 2it bursting the soap 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?