The three common pha ;yu;. fxc(.9u2sii)wk noupises of matter are

  Density is

  Substance A has a density of s)8e rm74glvb6 8c7phsak.d k$3.0 \; g/cm^{3}$ 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 pressure 8 b2imi8euw4ic3s.xj?

  Consider three drinking glasses. All,+svm( itm r1a9 f8oyd three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is s v itamo,+df 1my(9r8wider 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?

  What is the difference between the pressures inside and outside a tire calle(yf gliqe m5:w ,hn3p9d?

  When atmospheric pressure changes, what happens to the absolute pressure5,h 3t1bjngr,bu s6 5l) tothf at the bottom of a poo, tl6fh5hju5,b1srbg3 tn )tol?

  You are originally 1.0 m beneath the surface of a pool. Ifsj f92 ax0lsutagd+54syyi:6 bwwv 45 you dive to 2.0 m beneath thjl6y5w0d g4f4:sx +y5bvs sa2 u9atwi e surface, what happens to the absolute pressure on you?

State Pascal's principln nxj6 xy+h 0fo-,zr.le.

State Archimedes' principle6vu3fis sd5f/* cl0,hf;kld w .

  $50 \; cm^{3}$ 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 deepera4gepj otoq))36i v-d and deeper into water of constant density, what happens to the buoyant force on i6opevaqjgo 4dt i3))- t?

  Salt water has greater density than fresh water. A boat floats in both fresh kq1 w.lh3v+j l 0v6xhkwater anvxl1.kk hvh3qjw+0 6ld in salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. n/6u / *mhac)thunc1q A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt wa /tc/an1*m nhqu)6hc uter is

  A steel ball sinks in water but floats in a pool ox7 -p1qp7hd vatf;* mcf mercury. Where is the buoyant force on the b1p vx*mftcq7-pdha 7; all greater?

  A 10-kg piece of alumin7u1 3l,oefc 28pjz v1oucim7v um sits at the bottom of a lake, right next to a 10-kg piece of lead. Which h2mo 7e83j7cvvlu 1czpuo,if1as the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floatma /a7onplz4gq )p+ dgnp6p;-ing in a bathtub. If the iron is removed from the 4mplg)p;p+q dz6/7agnnp - oawood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A secon2o2r m )e p;o0sj+au./aagzxdd 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 ;xo.mga22jea+o)ud prza s /0 the water level in the tub?

  Water flows through a pipe. The diameter of the pip-g d fwmz)*l7te at point B is larger than at point A. Where is the sg w)*-df7lzt mpeed of the water greater?

  An ideal fluid flows at 12 m/s in aq+7x/ n2l afza horizontal pipe. If the pipe widens to twice its original radius, what is the flow speedaalz+ nq xf72/ in the wider section?

  An ideal fluid flows at 12 m/s in aec zg*nmi(b57u03fr h horizontal pipe. If the pipe narrows to half its original radius, what is the flow speed in gc(5r0 7muz bhenf3i *the narrower section?

State Bernoulli's prin2 e;;d mhn t.+nues4+me7k n+rjrhx2dciple.

  Which one of the following is associated with the law of conservation of energy.j :; g. (+dm nfejk/p1dsfjlg in fluid(ej d.gp f1l/k;nfd:+.smjjgs?

  As the speed of a moving fluid increases, thel8 ;nrvn9su1e pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point Bs u-g*dxomq+- is larger than at point A. Where is the water pressure greatexo*g+qs-- dmust?

  When you blow some air abt2 p*cu ;ta4gxjwv.d 1ove a paper strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity.tn2aq:ofa3t a 861 rrk The force of air resistance on 6r2atta8:n o ak13qfrhim is

  Two Styrofoam balls, of radii R and 2R, are rele rab (v(58jsp 3xlqi(mased simultaneously from a tall pl(b 5qj3a((msr8xv itower. Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it exwuaj 7c)+t(p pperiences a drag for tu 7(wacp)j+pce $F=arv$, 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 misv((yz x:op25j- i8n ,h*i,5wt8buqdrds lfluid through a narrow pipe? That is, if yd8, wl((rys x i5 zmus2bq* ivhp58:io,td-n jou made a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same len dmg,ai77( emdvfeexn 6m .33sgth, 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 m7a(d7fem3eg vsixe., nd36mis Q, what is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twic7wvz7d c7w3qs 4(;typf h/vnre as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure z4fpwvw7(7 /;ys3nvh c rd7qtdifference 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 often tastes greasy. Thiqlivfe 2rkyv;j,dp * g;*y tss 7(7x1hs "greasy" taste seems to be associated with oil spreading out all over the surface ; t*2deysx7(g*l1p i v hkqfr;vs7j ,yof the soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is place ak1.3 o;if0l8lj/f ) cmhmnlcjr.ze0 d in water, the water rises to a height h. If the diameter were half as great, how high would the wate0k 13lz hfenf0ajj)mcc;.ol ./rmil8r rise?

  Certain insects, such as the water bug, are sufficientla5wu-) )crj5z xzero7y lightweight that they can run on top of water withow )zzeroac5-7jrxu ) 5ut 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?

  Certain insects, such as the water bug, are suffic fzlb.f8b -fe.iently 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 thatble-zbf8. f.f 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 dimq,k 9x;-)he1 kporiajh9q rp 1 ol8ci*ensions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its xpeoko-9 h )ii,q* r1hraqpl;1kc9j8density?

  A liquid has a speciagwm sp8a c0zj 8j8w uv87n*9hfic gravity 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. Whan/lw cblaa6o -4sa-j 0t is the maximum pressu-j 4alsc0 anoal-6/bw re it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshp4bbs; t j*e 44hzyp+hoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand ivk6d te .y*1nat a depth of 120.0 m in the od*e 1n6 k.tivycean?

  A circular window of 30 cm diameter in a subfvviaymm32;v,- . ;fl z5ibanmarine can withstand a maximum force omz-l. v3 ,;;bv25ffaiyvianm 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?

  What is the gauge pressure if the absolute pre ehp8b s u-se7f m(/;vbp(zff:ssure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface .wu)t; qvk u*nof sea? (The density un;wu)tkv.* qof seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surfaais* 9ge.c ehkw :(q;cce of sea? (The d w;s9g:eehi.(ka *qcc ensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic mdlyq9nw;v+(+e g0* ujxet+fb u,ab9q achine. The small piston has abuy v ax;g9t f0 +jq+q(dle+9bn*e ,wurea $2.0 \; cm^{2}$. 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 radius of 5.0 3:x3cm xbzxa 2;w zvb8u;:ixlcm and the large piston has a radius of 15 cm. What force must z:z avxxi;wc:x 3xblb2um 83;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 be lifted by a 25 cm diameter hydra/fl cqd/fjk;kh2w2bd 44u6j b ulic piston. What force needs to be applied to a 5.0 cm diameter pistonc2qbk6db /f4w /j;h 4dlfk2j u to accomplish this?

  The small piston of a hydraulic lift has a0 8 kyqkvxo,y m26ktg( diameter of 8.0 cm, and its large piston has a diameyv8oky6k k2x,0gtqm ( ter of 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)

  A block of metal weighs 40 N in air and 30 N in water.nba9zgmwa u;upd (:(od cp6/57i ) dzh What is the buoyant force of the huizz/pm a(b)ug(a59dc6;pdon dw7 :water?

  An object has a volum n11c/cpjeq b*4q, ,v1+ml1epnk xsgnbr ;xg-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 string while submerged nt2g0j o*yea5in water. What is the tension in the string? (The specific gravity of igeyt05 2ja n*oron is 7.86.)

  If the density of gol-:g ihn (de 8rid* /cefts+tn;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 su +2+scjygz0szqy, tm0bmarine (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 when it is in air and 6.86 N when it is immersed in b+.4fq mm a7ntwater. What is the specific gravity of the objecm b7.qnfat+ m4t?

  A container of water is placed on a scale, and tx dj hmy6c((n ih8ed/+he scale reads 120 g. Now a 20-g piece of copper (specific(/( d8mjnch6hxy+i d e 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 density6set+ 30z y qkl) 6iei(i/ffki 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 and diameteri,e, c 1.yd*(se/jx nrv :unvabg)t .w 2.0 cm will just barely float in water. What rvt/(.c dw),sj:v1 u*i,byn g.xaeneis its mass?

  A rectangular box of negligible mass measures 3;3.hlcr-npgybc rl7 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded -;b3g.r c3nrl 7phcylonto 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 huem dq1vyl 6*svm174ealf its volume beneath the surface of the water. The weight of the displaced water is 2000 N. Wha1yde 6l74uevs *mqm v1t is the weight of the object?

  A solid object floats in l-roy dow*mr*7p:0pvwater with three-fourths of its volume beneath the surface. What is the o r70olr*womypd p-v *:bject's density?

  A 200-N object floats with three-fourt9h;l6x tjy b(dd6x72z sm*krzdu+m e6hs of its volume beneath the surface of the water. What is the buoyant force o*hm 9xm7d6+z ksb tz6(y;j6u x lredd2n the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. Whatm/fnmh:u *d rw4u: +d u6crk8v is the minimum area of the floe that will just support the bear in saltwater r:*w4:rh v/cm8uu+ dnk6 umd fof specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diame:hbc6jqs7g q43f3x wqter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 mt,* kn:9eut ru/s. There is a 2.0 cm diameter restriction in the lir9*t tu ke,u:nne. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizoza 9sem5ov 2b/ntal 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?

  How much pressure does it take for a pump to 4 vbvz 0)yvi)lsupply a drinking fountain with 300 kPa, if the fountain is 30.0 )vbz40 vviy)lm above the pump?

  A hole of radius 1.0 mm occonetub b2.g8 k8g8 or9urs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow ou n9.g2oobke88trg8 b ut of the hole?

  Water flows through a hor2. jef:- xfyh1k vvtfs,i.3ceizontal 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 visk:f52 dq.zoo wcosity of 0.20 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 fw5dkzo.2:o qis 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 the wall of an artery decre;e s*e3kwhzumd- )h 4p 0 fr4-jukes(cased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?40; uhz3(k dj ) --ke4rhpwssmecfe u*

  Two narrow tubes are placed in a pan of water. Tube A has twice the diaw+p 6qi p1p9uyiau9+fmeter ofpif1 w ap+uiyqu9p9+ 6 tube B. If water rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high7zsts5*7qkv k t )* urs6nvfp+*p:vmt will water rise in a capillary tube of diameter k:*5mkn *prpfvvt7ut s s) +6*qt zvs71.2 mm?

  232

  To what height would water atsf)8d)ultu9u 0 degree Celsius rise in a glass capillary tube with a diameter o)tf uul)s 8u9df
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises l2:fsw 4,de1k*qkq 6e d kgre3in 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. k364, d 2k:rdkgsewq le*qfe1 What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of lek* lep,.rfet+ ngth 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, ,tle*+ ferpk .how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and wq,p- )vx stg5fx ;k4zc,d*xavidth 5 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. How much work is required to move the adjustable long side so that the f*pvf,5qx sk, at)-vdz xxg;c4rame is 12 cm square?