The three common phases of ru 9apj1b wt r9xy);m;matter are

  Density is

  Substance A has a density6/.iud zcseya. .u(ajpi,4ha 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 i9(bv /v rmtqw;9/fhuls not a unit of pressure?

  Consider three drinking glasses. All three have th0;fpnc z(8 xvhe same 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 narpf 0nzc8vx; h(rower 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 tdt r)(3ak iej8he pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure at x,(;95 skp,/sqplth *xbttdv the bottom tl9,b;t xs, dsx5vp /h(pk qt*of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2tqcm53n5lm ng1q fno8j j9ynl ,8dn.:.0 m beneath the surface, what happens t dn j f8nonnj55t,. 8mglc3:n yml1q9qo the absolute pressure on you?

State Pascal's principlea*q7vkjr-v;dq c( w1a.

State Archimedes' prialtu1+9x.-k)wmgs3m ob + im jnciple.

  $50 \; cm^{3}$ 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 wat4 2/vdm *vptneer of constant density, what happens to the buo4nvdevp/m *2 tyant force on it?

  Salt water has greate 2;6xgtf)-pc4sy.p+zyqu8de t ozq 9lr density than fresh water. A boat floats in both fresh water and in salt water. Whe 9cq8gs y- 2pl zy .upfdzxto6+t;)e4qre is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both3f8 z ,l/)vie,oi 3u,a c inzks1ygg4n fresh water and salt water. Compared to the fresh water, the volume of water displa3on, iniyazus 8vc) 1f4, g3,zigel/kced in the salt water is

  A steel ball sinks in water 6w;l:cbpb8ykc lt()tbut floats in a pool of mercury. Where is the buoyant forcelc(;yk )btwpl:8c bt6 on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a e vcc x,cu-a;-10-kg piece of lead. Which has the greater buoyant force ce- ,-;xuvac con it?

  A piece of iron rests on top of a piece of wood flou ab2c7j6v/d xating in a bathtub. If the iron is removeu vxcd j/a627bd from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece ofd1/dk6qzx+ukxns9 ch; u6 me- wood sits on top of the firs6u/ 916mqnuhd-k eskdxx+ c z;t 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 diameter of the pipe3,ru8 bu8 pemv at point B is larger than at point A. Where ie8buv8 m3p ,urs the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the. .d: jsfnxkp8 pipe widens to twice .fnj8kxp sd.: its original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a ho 9) g6hebpsc9 ospio6(rizontal pipe. If the pipe narrows to half its original radi g)bi(sops6 p9oc9 6heus, what is the flow speed in the narrower section?

State Bernoulli's principl*2.cq0hmxtehbs 927ee kx )x 2rra) mge.

  Which one of the following is associated with the law of;-0s jjp.kuez pjf-m;hi0 1ym4 cga t. conservation of energy in f. pj;-m ejj.zf0ut;1h iask-40pmgcyluids?

  As the speed of a moving fluid increike aqp8k 2n7zfu.::vases, the pressure in the fluid

  Water flows through a pipe. The diametm i03efl(8b3z1xiv ayer of the pipe at point B is larger than at point A. Where is 0 xl (yfibi 33zv81emathe water pressure greatest?

  When you blow some air above a paper strip, the paper rises. ja 8xjcm s26(k7 9qp6dhd,btu This is because

  A sky diver falls through the e (w y+ncm9td0air at terminal velocity. The force of air resistance on him ism+ec(9y0 tn wd

  Two Styrofoam balls, of radii R*(m 4 sqf +u8.;d8boc cztaq ksvut*8b and 2R, are released simultaneously from a tall tower. Which will reach m 8*8bcd b tot(ss *+ufvqkqz;c 8.ua4the ground first?

  When a small spherical rocgq l2nxb2xl3wv3 v84n k of radius r falls through water, it experiences a drag fovbg 3xnl24l 8vn2w3xqrce $F=arv$, 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 na-,kr4 jm4+vffkdlikk 71a, ya mz-;hlrrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the gk-f1 kfmv7k, lam- ;h+ i ryjdzk4l,a4reatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice t ( n7iyng:tai0he diameter of pipe A. Water undergoes viscous flow in both pipes, subject to tn n7(0igt ay:ihe 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 same diameter, :b d(ngfdu3n3:/6so6pvtu b+krjw t4pb1 d 6mbut 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 isusj nf4 6:6(o6wtdbu +3mg 3prbndtdp:1k bv/ the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. jhx:6e 6xpgppvizaq f7rh *4c3*px7(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 termxrf 4aq3e( p7 xig67 :zv6hhp* c*pxpjs of

  When a tube of diameter d is plac y/c6vi8+k :ovzicyk z9 ry..ued in water, the water rises to a height h. If the diameter were iiv6yycz+u z v.k9:k.c8or/yhalf as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight that the0h 7+t+kql hvly can run on top of water without breaking the surface tenhh+t7+k lv 0lqsion. 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 wam) me ggac*7k ujaz,5*ter bug, are sufficiently 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 that the maximum possible upward force on the feet of 7cagkmj*5 uez gm*) a,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 2.005e0loppc7:vqrg(6:vyo c 1tk cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. Wha cq67pgyc(o5lo : pvk:trev 10t is its density?

  A liquid has a specific e/ e9ohznbu4cdo20, w *4ny btgravity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures nk6f* 46mvxdn 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum6* kvfmnn4 dx6 pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing onx:vy lftt-s8 r 96a;fy snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a subm+qk+0xtqt qm98/7chd fm la 8harine withstand at a depth of 120.0 m in fqqdtmkl/+0c8 qa+hm h t978xthe ocean?

  A circular window of 30 cm dia q(w,d dvwg,3zmeter in a submarine can withstand a maximum force ow3v zqd wd(,,gf $5.20 \times 10^{5} \; N$. 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 30mbo+s. qit /duc+:i +z0 kPa?

  What is the gauge pressure at a location 15.0 m below the (h8 4a 7ysrzciv d e+uv*af9w5surface of sea? (The density of seawateha5r8+ 7 ieya94szwd*u(vcv fr is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a locc1,vk hjj:1r qation 15.0 m below the surface of sea? (T1c1kvrj: , qjhhe density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The small pis7jf,b1o m 6f1rq tnm)qton hm1, roj6f 7nbt)f qmq1as 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 cm and th e e8b5c06xgzde large piston has a radius gzc0d58eeb 6 xof 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 be lifted by a 25 ( gp.; tho1p/ahhc(xzcm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish .chh/1a;po(phx gt(zthis?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and i7b ps+n,ec +yots large piston has a diameter of 40 cm. The liftcbo+syne+ ,p 7 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 qj2dr t. . x+wqcm-pu-and 30 N in water. What is the buoyant force o q+w.t-x2qdmj- c r.puf the water?

  An object has a volumecmvz bn63emr ); i6pi(1qcunvo43 e5x 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 c1 mhi/v3m* lqin water. What is the 1lv mi/q*3hcmtension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold is vrpx: on i,-5m$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (denc4myg bn-d yx9zc; )(aba 6t2usity = $7.8 \times 10^3 \; kg/m^{3}$) 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 cpxew4p /ps ws/e+w3-when it is immersed in water. What is t x/4p 3/wspe scp+ww-ehe specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Now a) +)asclv*n -,, yb(gecaptit 20-g piece of copper (specific gravity = 8.9) is suspended fromeg tly*,-cacspvbi+a),t ) ( n 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 densityx9-p hrh( h- :jfi75ddusmq d9 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 willnvma ;3f,ax2f-ij(k+: hz cs5uuw ok( just barely float in 3k+(cux v,nmzu-hw: jfo 5i(2aa kf s;water. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 rm1+w f7h; kx d6drg7;l2ydnhw 0u3 evm wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box b w1ruhm7 hv0gwn2ddr; 3;fy 67exkd+ lefore 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 09ag* w- d:hw gcz+afhits volume beneath the surface of the water. The weight of the displacf w w*hd0cga-g9: +zahed water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths o6-dpdr (ca. rdhc j/:wf its volume beneath the surface. What is the object'd6wh( -:jddc/ pcrr.a s density?

  A 200-N object floats with three-fourt+ilai91*t w/ iuczss+ tl)h y,hs of its volume beneath the surface of the water. What is thic1ha , 9+l) u slztt+y/wii*se buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice df h/8igr+9w7q0xvtr w 55yc r-k bnx*floe 100 cm thick. What is the minimum are8wrkrribhftg/v 7xyn5q dwc9x *5-+0a 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;g) m3e c hb*:t/zvmwp at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pi1 3q;ayehus-7mdc : ebpe at 1.0 m/s. There is a 2.0 cm diameter restrictiony3-h1u dce be: ;qm7as in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressurz;mu5vgmru/ h6, anq/ j)hdp 4e 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 takjl64vj; 9 qfxu9jd y*ee for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.04jyj*jf9l x9dq u; ev6 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that holds 3.crua-.i k y .7qsiwgwater at a depth of 15 m. isyq 7w.-g k3 .cruia. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectiona2up349* nfsioh bw.v rl 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. How long would it tad9jz5wi jfq) 2fn uq(:ke 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, a:wuj52 (d9qffqnjzi) nd neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-/ rpvnq g/x1p9zhlz )npg d(.id: 3k8uup of fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have l/hzn gqpk3x d zpi(.:n/)1pgu9v 8drto be increased to maintain a constant blood flow?

  Two narrow tubes are pxq0vye-.* o twlaced in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how higotqv*y-w.x0 eh will it rise in tube B?

  The surface tension of water is 0.073 N/m. How hiqip 4c;lcm87agh will water rise in a capillary tube oal mc;4pic8q7f diameter 1.2 mm?

  232

  To what height would water at 0 del m1ch3g9 ouw.66uw trgree Celsius rise in a glass capillary tube with a diamelc 3rg6mw wu6ut19 oh.ter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and yew j*7 wr6*p.4sswfm 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. What happens to the height of the liquid column in the s.y*pj6rf4wwm*ews 7 tube?

  Consider a rectangular frame of length 0.120 m and1-mz h55 rbt8fjnk+oors; vk09xlx 3x width 0.600 m with a soap film formed within its confined area. If the surface tension of s 803mnokhx5-b;1 fvtszrx rljk+x9o5oapy 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 in9/(y rkkzg kuxc*wl0a7cy,x:.s,ya x1o-fl t such a way that one of the longer sides can be moved yugzx,,*twky9k 0 llc(y a7:/f ks-.xroca1xwithout 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?