The three common phasesqjf ma:4x-y(zhd k k82g hm;b/ of matter are

  Density is

  Substance A has a denyu9db3gwri k.u7+vp16opo0 i sity 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 unitz 6fgpa4x (u)r of pressure?

  Consider three drinking glasses. All three have the same ,s d+4z7mr g+rxzz9 pkarea base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wider at the to d+x9mz r k+zz47psgr,p 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 outsidk) zb.t3k+ ohzggve wom37 f:;e a tire called?

  When atmospheric pressure changes,5kjn8 ; t5dxtk what happens to the absolute pressure at the bottom oft 5xkjn;5dk8t a pool?

  You are originally 1*b luj485 j61 q:kp5x*osu;ptt omne0f/gosa.0 m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute presl6bxoqs;eo s g5105u :pkua*t f8tj op4m*j/nsure on you?

State Pascal's principor7 n* ilvyf+) t0r9uyle.

State Archimedes' prbpt.xqp)+14 m w2;-9e rsil nnr.i gmu-mpsm1inciple.

  $50 \; cm^{3}$ 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 deeperh /y1qea 3qz4s and deeper into water of constant density, what happens to the buoyant force o4e/1y3h qa qszn it?

  Salt water has greater density 2/d / hiftcpi9than fresh water. A boat floats in both fresh water and in salt water. Where is thpt2fhi id /9/ce buoyant force greater on the boat?

  Salt water is more dense than fresh water. A4lfw;p45l bcg ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in l 4;p4wlc f5bgthe salt water is

  A steel ball sinks in water but floats in a p( 6kkal4yahy+ ool of mercury. Where is the buoyant force on the balak4( hkl y+ya6l greater?

  A 10-kg piece of aluminum sits at the bottom or450qff m)*zn4vz a3jph 6hgb f a lake, right next to a 10-kg piece of lead. Which has the greater buof jqhbrzp0g63z4mf)a * 54nvhyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If tfgta:cv:4 o :fhe iron is removed from the wood, what happens to the watv ::tofc :afg4er level in the tub?

  A piece of wood is floating in a bathtub. aiso my,5w4 *29k/aqxpx )zjm A second 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, k,aq2sjy 9i)pm 4 ax 5/m*ozwxwhat happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is larger k.diu( y4xl-a e/9haw than at point A. Where d9x.k -l y h4e(iaw/uais the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If tpvsxtiftw)b 1 5fcenp 9.k d:cn5(/ t-he pipe widens to twice its original radius, what is t:bs )1p.c nt tfcpexk5vwit-d5 nf(/9he flow speed in the wider section?

  An ideal fluid flows at 12 m/s in g3w c9t9u0k5j :3 edprp7rnrj.ljb7o a horizontal pipe. If the pipe narrows to half its originu9e3lr3 pr5pt9dj orc7j7j .: bg0n kwal radius, what is the flow speed in the narrower section?

State Bernoulli's prrlg0g gv biiq9rl+48 ;7:bby einciple.

  Which one of the following is associated with thed) keb -5.eu eyi5l-rw law of conservation of energy in fulkdieye- r5)wb . -5eluids?

  As the speed of a moving fluid increases, the pressure in the flwtcv2nq0ty0k o2 o z41uid

  Water flows through a pipe. bs+odrw ((l;hh. jk:w The diameter of the pipe at point B is larger than at point A. Where is the wateol b( ;(drsw .k:+hwhjr pressure greatest?

  When you blow some air above a paper strip, theup6h;sl(f cfex48q4 e paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of/s 2wn(a v3ki:5.r4padhmb v t air resistance on him isvndpka:54rta/ vshb (23. mwi

  Two Styrofoam balls, of radii R and 2R, are released sutn 2ma syii5,ypzr* ,j22m0pimultaneously from a tall tower. Which will reactzism5 pr0uy2 ma2in2*yj ,, ph the ground first?

  When a small spherical rock of radius r falls through water, it exb. /b0tesm:z gperiences a drag force t/s.mg: 0bb ze$F=arv$, 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 a yjel +f r7.2f.mw4rb .vyzdc;1wv/c narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change inb r.l71yf v/a2r mcf..4zj+;yevdwcw the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameter ofx .)n:m6 husij 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 isj)6xu. :sh inm the flow rate in pipe B?

  Two horizontal pipes have the same diamgke4 ;u0xs0vo ia. rg9eter, but pipe B is twice as long as pipe ag 9 xegu0 .v;i0sr4koA. 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 B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes9,jmiyy epr.+ 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 m9p .j, +yreiyexplained in terms of

  When a tube of diameter d is placed in watpt4;dx xyfz-5( d uez,er, the water rises to a height h. If the diameter were half as great, uz xedz; yd4 -x,5t(pfhow high would the water rise?

  Certain insects, such as the water bug, are sufficiently ligz k*-)ez* 2kxw+n8vszi :rrhphtweight 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, etc. What is the weikzvszrhkz8ex rwp:+*2) i-* n ght of bug B?

  Certain insects, such as thi,w5qra4 enw ,e water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. This n,q5w4re iaw,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 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 4.00 cm has a mase vf0kkx+c x()s of 30.0 g. What is its densckf +ve( x)0kxity?

  A liquid has a specific gravity of 0.357. What is its dchwte qml8p:azm6g, - da6t* m8 0k)taensity?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is;c9 dwszx:h+x*b; qlyhu( ow, the maximum pressure it can exert on acw yd xh 9:(wb+ zl,shox;q;*u horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has a )p (,6dsq*idpb c3ku f0dzv9frea $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth o8g sy kb* * 6rccejwq4z9hzx0diy6d4.f 120.0 m inycb6hz. 846g **edicz4rq xj 9ydkws0 the ocean?

  A circular window of 30 cm diameter in a submari pc-tlacn**ee 95-s+bsb xn ,cne can withstand a maximum force *-tncn -p x be,b5 csa9cs*le+of $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressaijr ,iz2ta-6lr( ro 2 rg:jb.ure if the absolute pressure is 300 kPa?

  What is the gauge press8u;bux x( ,miuure at a location 15.0 m below the surface of sea? (The density of sea8,mbu uxuix ;(water is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface of sea 2 x(db*qd;xu+cd pms jc.w0,*xhw h0z? (The density of seawaterw2 s bcdu* 0d,qh.wjx;c(pm0xh dz*x+ is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the a8*n.0rvp li6z guri5 6(fqrtsmall piston of a hydraulic machine. The small pistonvrz i6r(6p5.8 rti na *g0qlfu has area $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the smaln8sx c rj9-a7oyufepe.-w q3 0l 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, jeuoq7r-nxw 8 e.9a-s30cpfy000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic pistonvhm 7ve79s lcc2llzxt(/+5nw. What force needs to be appli 7lm7elnxtzwcsv2+c 9/( v5lhed to a 5.0 cm diameter piston to accomplish this?

  The small piston of a axznz 8mi4l/7hydraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 c i874lm a/xznzm. 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. Whbo8 nf25v)z hr co9b;sy 2h3yaat is the buoyant force of the wa 8s ohbcon92byf;raz3 v 5y2h)ter?

  An object has a volume2af3wo g7nk0q5 uad :. h;unqw 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 support2k ico oik1;+hed by a string while submerged in water. What is the tension in the string? (The specific gravity of iron is 7.86.k1ohoi;c i+k 2)

  If the density of gold is vwj4)n44q yhr xu s;6pc *kr1a$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel sed+ //lkrcragu/ e1i9ubmarine (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 w2 b atp8 v0mu+9wv:xakhen it is immersed in water. What is the speciatx:m u2ap98v+kvw0 bfic gravity of the object?

  A container of water is placed on a scalwu :jc/vm3s7x vl9 )k)zny,jke, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended frovjck) 93n,y z/kvwu :mls)j7xm a thread and lowered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum wimz3 a tlb(5;p) (y9gwde ogoq8th a 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 length 12 cm and diameter 2.0 cm will just7y7(p j * molg.svd 50zcq73 s6lvpzey barely float in w 7jzlm3s7lv qv yz0g.c d65e(*spypo 7ater. What is its mass?

  A rectangular box of negligible ma1tfqil 5a+68fvv;n0 qgq v g;iss measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded ovg;1 5;g qti 06ff+q inq8vavlnto 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 vol91y9porvfa /2 pc 1btdume beneath the surface of the water. The weit1cydp29 o1r9apfb/ v ght of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volumex+co:kw.w+uwss8 ;enth jn: 4 beneath the surface. Wha;xew+ us s4: jown+.c8th :wnkt is the object's density?

  A 200-N object floats with three-fo 6hx4aadc:y: turths of its volume beneath the surface of the water. Whcyht6d:a a x:4at is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. Whattezyjv-mhkuyhn;h-7 : o smh)19*9qv is the minimum area of the floe that will just support the bear in saltzhvhs h7j -ke9nm )y-vmtqoy*uh; 1 :9water 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. Find the flow r0(wccxyjx47 qp ,nsw5t 1 4kgqate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0kynl 4tc.;cd,u1l6n c cm diameter restriction in the line. What is the velocity in thiscn4dl.1y;6ku clc n,t restriction?

  Water flows at 12 m/s in a horizontj*jijt 2z xv grt1h,,(b9g b)kal 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 sup5m ug+ozd2s2 gply a drinking fountain with 300 kPa, if the fountain is 30.0 m above th+5u2os g mgzd2e pump?

  A hole of radius 1.0 mm occurs in the bo s-g32cfc o9g rudu*/xttom of a water storage tank that holds water at a depth of 15 m. Agc gu2 fr39xc-do/*ust what rate will water flow out of the hole?

  Water flows through a horizontal pipe ofp01w x*fjge d q:0y.ea 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 v-up c ;vvs9nvbb6ee,0iscosity of 0.20 Pa-s. How long would it take to pour 4.0 L of oil throusb,9v-ebn0;v ve cu6pgh 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 tisshlrgp pp n6us...i.s o :xc,d2ue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increasedu. cpxsl6s.ro , g2hpi.n.:pd to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the diameter of/ioaplbe01( i tube B. If water rises 24 cm iniebpio0/ a1l ( tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in2jl/ lrd f+z 9t1-nako a capillaryk1ljz /tal+2-n rofd9 tube of diameter 1.2 mm?

  232

  To what height would water at 0 degrhl6g h:nm 4dyt2 j4.;bvxu.e fee Celsius rise in a glass capillary tube with a diam6yxh..tbu ng lvdh4fmj 42;: eeter of
0.50 mm?

  A narrow tube is placed vertically in a z5kuz(z(: obupan of water, and the water rises in the tub:zu((bz ko z5ue 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 to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and;:usind0nq vgfi76s1.qv v 6c 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, how much force does the soap film exert on the 0.600 m nqv70 q:iu16; si dgfnv. 6svcside?

  An adjustable rectangular frame has6x57i- lmrsfsph1:c j length 12 cm and width 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 frame pssm5 7fjr-:lx chi16 is 12 cm square?