The three common phases ojccoeux0-7/ :)( ib.7 rve8fhccnd 4cv8m dsqf matter are

  Density is

  Substance A has a density/)s l.lxr. dv /6on h,0t*nrkmtj0rhs 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 5*,ayz.t ,m, h bqyhlvis not a unit of pressure?

  Consider three drinking glasses. All three have the same area w16qr/y0:8 + .h zqenewj-xyb )q fplzbase, and all three are fille1 f0e-b+q8hpyjzq6 :.l)qw/z w nryx ed 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 than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressuresz;-h7ce abur/rq mb;. r-s w0i inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absepvn0c4* 2xxn. dpqt;e b*p/qolute pressure at the botto t;.nep* pq/4vbn2c*qd0 px exm of a pool?

  You are originally 1.0 m beneath the surface10cu 9vj, f6+lenfst(7kpt)rmtwy 7b of a pool. If you dive to 2.0 m beneath the surface, what happmvu70t7jr ft ywc, epbf96k+)tnl1s(ens to the absolute pressure on you?

State Pascal's principlzk00g w u4rwhw5yz:s62 tp:poe.

State Archimedes' princi g:09ofe.w8h 1pbpbseple.

  $50 \; cm^{3}$ 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 ak pzjpj iib1.,7a,;mvnd deeper into water of constant density, what happens to the buoyant force k7 . ,ibjmzi1 vp;p,jaon it?

  Salt water has greater density than fresh water. A boat floats in both fres/xnptr0u; 3n2ld qn1 ch water and in saln1ndxuqnt0r2 c/ ;3plt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water.zh m2,ufh*)sp A ship floats in both fresh water and salt water. Compared to the fresh water, the hm)f2*szup,hvolume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. 1.ne*xwh3qxd0 n4yb iWhere is the buoyant force on the ball greatend4x0.xiw b q3h1yen* r?

  A 10-kg piece of aluminum sits at the bottom of a lake eahv 1tq 3k(wsqg -2ds53csm8, right next to a 10-kg piece of lead. Which-ms83wd (51cgtsqq aveks2h 3 has the greater buoyant force on it?

  A piece of iron rests on toph)si .nn. vo s+0uf+gk of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water le0if)u+s+.sng . hko nvvel in the tub?

  A piece of wood is floating in a bathtub. A second piece 3 a:u0gf 4vobyof wood sits on top of the first piece, and does not touch the waterovba3y04g :f u. 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 diameter of the pipe at point B is larger than u6kes f;mme+j.5w i5 aat point A. Where is the speed of the watere f;im5em +uj.s k6w5a greater?

  An ideal fluid flows at 12 m/s in a horizontal p)pij d(lp ,h07ui.snhipe. If the pipe widens to twicels i.i0hd p) 7,pnujh( its original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows to halfx7l dtv5kd*go;e, k )c its original ra dg*ce5l xk7),t d;okvdius, what is the flow speed in the narrower section?

State Bernoulli's princigh1-b9, r36c b:pkq qca+ajc lple.

  Which one of the following is associatbp 6/ om)+lltea2:(qtdquc u+ed with the law of conservation of energy i +oueml:p6t(2qc+ld q)at /bun fluids?

  As the speed of a moving fluid increases, they e+jg*g71gyxe ,e(w2fj,nae pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is lk+ak4.,edgqrt rmqs j (2n03g arger than at poindmgge 42tqr+ nrj30kqsk,.(at A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paperwo.4bh tt0 yjieq2b )7 rises. This is because

  A sky diver falls through the air at terminal velocity. rlou ;ercq9 n7n/x )pui41xqw0,e wn* The force of air resistance oninxux4ucr7o 1n 9we*req/,lnw )qp;0 him is

  Two Styrofoam balls, of radii R and 2R,vy;s j uggaqfq5f,k6 -x1 bx:4 are released simultaneously from a tall tower. Which will reach the ground firstqx a f;5qv, 1kg4yx bj6-us:fg?

  When a small spherical rock of radius r falls thx6 8ix1ws5k(y km vnos9t(v0v rough water, it experiences a drx m9kv o10wysn(vxt( ik658s vag force $F=arv$, 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 eff( l6 7ap b-3fjwuje1tfect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest chang eljtbf(a p3wfu7-j16e in the flow rate?

  Two horizontal pipes arr g4lg( nwsdup)x:u-xros tac4 0:47ue 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 a uodl-0p(: g7w gxnur4 ss)xu:tc44rin pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have the samdu /j u 7fca bmj0c;7n3cdq32pe 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 flow rate in pipe B is Q, what is the flow rateddunc37/apc73u2b j;j0 mcqf in pipe A?

  When soup gets cold, it often tastes greasy. This "greasy" tf0d 6t/0 qfc,s *nzv niz7b gfl)xw,4oaste seems to be associated with oil spreading out all over the 4dxovs,),/* 0wifl0cfn b tzgnfq76z surface of the soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameteu8ur ,uztt 3* wbtc7 j5yu8v2cr d is placed in water, the water rises to a height h. If the diameter were half as great, how high would thej73tcuvb uu82,5cu z t8 ty*wr water rise?

  Certain insects, such as the water bug, are sufficientgplg99 :tt 1cj.m+a o+d )rbrhly lightweight 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. Thar9agt9copr+g1 bmjlh+ ) .d t:t is, bug B is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water*b bl, /qg+qar bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. This is possible becaus+qb l/* ba,grqe 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 coc ;a -3z0jwzbm x 4.00 cm has a mass of 30.0 g. What is its density?z 0j3zo- w;acb

  A liquid has a specirg*kes 3d,sw9h3 5 vag3(uzsjfic 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. What is thecs ,7ydm 6nub( maximum pre6bcs,7( ndmy ussure it can exert on a horizontal surface?

  A person weighing 900 ;+8r.iz2fo ; pfnolx fN is standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at ps3jgk vgh;nh n4gju+;6+ 5roa depth of 120.0 m in the ocean35v ;++u;orhs k6g 4hjnpnj gg?

  A circular window of 3b+0ov ol*fh *,*aqms i0 cm diameter in a submarine can withstand a maximum force *l +of iv*m b*o0hq,saof $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge presslsbmj,v+c,) gze 1w 3jure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface cz1erxs1e 51 vof sea? (The den 1s1r exc15zvesity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location (se 8 kif-9l1sr0pmxvrg-1 sh 15.0 m below the surface of sea? (The (0fris9s1v8x rh1-k e mps- lgdensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic ma q51bp:ov(vogxs;9jsy wzu*tz y8.o-5-ftwgchine. The small pistow.w j-ys-g :8s 5z9tt o zp5 *u1qgvbf;x(yoovn 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 small piston has a radius of 5.0 0phd5 zxnl b28cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to lift a ca 0d p8lxn52bzhr weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hyy; i)ka8jbuc/c q5 (t4l:p:2xgvy hz y7mt co.draulic piston. What force needs to be applied to a 5.0 cm diametermxzqhc/vb;:il4u ypt 7(cc2 )8.y tog5kayj: piston to accomplish this?

  The small piston of a hydraulic lift hasfmcouqa;q- h 16,t2en7mlootx;k.. d a diameter of 8.0 cm, and its large piston has a diameter of lt k 1co.mdm-;,6q2hnof7texuaq;o. 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 ;bv,k4dc f3g d e(0k0g8nmw ooand 30 N in water. What is the buoyant force of the wate0 wek,0;(8bkodg4g mof3cv ndr?

  An object has a volume oop8a /gb 4mzqh 8t:0kaf $4.0 \; m^{3}$ 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 in k-a4ij ffqe qx,8 :af8water. What is the tension in the string? (The specific gravitjf8eq4ak 8f :qxafi-,y of iron is 7.86.)

  If the density of gold isrwiu2sksw-6*v5bdgb 3*q -h c $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (dqc67mk:r6c fr) (f yprensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 6.86v :r0gtupq0+ i N when it is immersed in water. What is the specific gravity of the obji0rqv gp: 0tu+ect?

  A container of water is placed.rofk6yi b(+jd :q9 t;2 nlnax on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is n:k96;lidqta.xb j fn(o +2yr 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 o8vupb mrv+/t 4 6d77qow6hrsvf 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 just barely float in wsa+n6.te fe2 water. Wf w.e6tn e2a+shat is its mass?

  A rectangular box of negli :w; db:m3x6beotvt( ogible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks tv;m:(3w6oodxt:e bb 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 oq/;ebg .o j1ghme,1 hhf the water. The weight of the displace o;1m,j.ge eh1 hg/hqbd water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beh/nh/h-q rfz*w/w)cm/g q)m pneath the surface. What is the object's densityrw/)-h )m/ /mhg*hpwc n/qfqz?

  A 200-N object floats withq1 b)1fz3a qmk three-fourths of its volume beneath the surface of the water. What is t)bma 1q13qzkf he buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice xj -7y h98( jy1zvivae2d go3nbl8k 7kfloe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? 8kk3- z9v(xbyj j87 e2hgnlyi av71od The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm9h;o.z z uz tmrh8n8):6mmbjv at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There irm)g 8wxx n43wf)9kors a 2.0 cm diameter restriction in the line. What is the velocity in this rest39n x w4frxorw)k)8gmriction?

  Water flows at 12 m/s in a horizontal pipe with a press0wmhqvj:8+3: fh/nfv ii r5g oure 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 supply a drinking fountain wi qq6c1zht o2, nbv7/x 9a.,ya9zzl(p(kuozf cth 300 kPa, if the fountain is 30.0 m abl7oayvkcb o/ufq1n(t,pcz 6qz2 .z99axz(,h ove the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank th- 2ucv1y idb:p+ha,t5gpd) dfat holds water at a depth of 1 d,u if5a2 t-:+d)pgv1 ypcdhb5 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectiozlq uk0gf: -a s+l;m4rnal 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 Pa-s. p laq 9eurn7.b)9v2f d5gyv8i 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 kept8q7e. 2)vr95f dapvnui b9lg y 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 decreased thzf1 ob ldm4,x2e radius by 10%. By how much would the pressure provid4om 2z,fdlx1 bed by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are plaoa3 r83cp5 0o a :hi-qkt3rgsz-iub9qced in a pan of water. Tube A has twice the diameter of tzhikb rar gioc3:-5ap809t3uq s-3o qube 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/0k89 .-liww zazawaz0m. How high will water rise in a capillary tube of diameter 1.2 m.wa-zwk080 lziaz9 awm?

  232

  To what height would water at 0 degree Celsius rise in a-:carjuj y fju+4 *s.v glass capillary tube with a*.: jcu+-sujya4f rvj diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water qshwv3 9kfp+(rises in the tube to 4.0 cm above the lek+ wpv(9shqf3 vel 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 wid .4.iancw 7hsdw j6sl2th 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, ho w.jh2wss.cnd7i l 64aw much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frb9*z xq-3t8 mblhcqb nm4;q wn1q6 (kpame has length 12 cm and width 5 cm, and is built in such a way thaq;(k61 bzn9t pm 8bn3x qbh-4l*cqq wmt 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 is 12 cm square?