The three common phases of znwxz .8tu*8imatter are

  Density is

  Substance A has a dens9 u9kjvtr/ao+:h qb 0qity 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 unit of press1us)a n:u q2hsure?

  Consider three drinkingec2rmh3cbft e.t+lq w)ovn2(v6c) 5h glasses. All three have the 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 narrower at the top than at the bottom, and so holds less water than A. Which glass has the greatest liquid pressure at the botct h)w6 (+h3)tv. rce2ml5nevbc 2foq tom?

  What is the difference between the pr3d :m2a3s sk,3qaxt nqbo-c;e essures inside and outside a tire called?

  When atmospheric pressure changes, what happens to t in* 88povoadjr/f+0fhe absolute pressure at the bottom of a o0i 8ao+/8pn v* frdfjpool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m bb.sqe, c6rz .y )fh.aweneath the surface, what happens to t y.6zw,acq. hsef)br.he absolute pressure on you?

State Pascal's princ+o2llen wn;wk z: b*w2ma/; hsf9m2rgiple.

State Archimedes' principod:b ;hdn7.klle.

  $50 \; cm^{3}$ 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 const3. h l. n,sgqi2prs7tbant density, what happens to the buoyant fo s.ghp2b l,n73qtis.r rce on it?

  Salt water has greater density than fresh water. A boat floaesbv,;r6 jf9 ats in both fresh water and inv fa96;rbsj e, salt water. Where is the buoyant force greater on the boat?

  Salt water is more densez n2ity7k4 1lu than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of wateliyz2tn1 7ku 4r displaced in the salt water is

  A steel ball sinks imdj*ll 1hj :wp x-w/i(n water but floats in a pool of mercury. Where is the buoyant force on the ball grei1xj :/p*w- lwmdh(jlater?

  A 10-kg piece of aluminum sits hf(8;eo-v3ph zatbt*c g vx 7p/ux8j-at the bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant ;zte v(vp/ b -hax-78u8 jtg*3px fchoforce on it?

  A piece of iron rests on top of a piece of wood floating inax9u xly yz)zdh1:1c0 a bathtub. If the iron is remo :1ulc0zx )9azdhy1yx ved from the wood, what happens to the water level in the tub?

  A piece of wood is floati++ s-yon3u gap.os/zung in a bathtub. A second piece of wood sits on top of the first piece, and does not touch the water. If the top piece is taken ofyzu3 +puo/.s-ao gsn +f and placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The +3uh fu i4 dm9pl8z6ctdiameter of the pipe at point B is larger than at point A. Where is the speed of the water greate9uiu3lp8c h4t+ f dz6mr?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pi in2ew2uy528 j ia:vbzpe widens to twice its original radius, what is the flow 5yv bau2 z :ne2wj28iispeed in the wider section?

  An ideal fluid flows at 18kdb tbzwu 4.f+a,x)qn iv2t12 m/s in a horizontal pipe. If the pipe narrows to half its original natqd4+1zb w2 )v.kbix,f t8uradius, what is the flow speed in the narrower section?

State Bernoulli's principilw0 jo58(hj) akgg5j le.

  Which one of the follou,gi d0 -no6diwing is associated with the law of conservation of energy ig6o,d0 udnii- n fluids?

  As the speed of a movv/ q wusi4adbd5pjkbm7 s ;1.*ing fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point 6sut,ggb0ex:h s6cize 2tt.2 b .j,ofB is larger than at point A. Where is the water pressure greatets,j0i,.6 eubsfo26bt.g tgz xe2: ch st?

  When you blow some air above a paper strip, the paper rises. This is b6h fmaula1z4; ecause

  A sky diver falls through the air at tez12c6mbt bhuxhg:50h6uvd1hrminal velocity. The force of air resistance on him ihd12 6huc1zg : h5t0mu hbxbv6s

  Two Styrofoam balls, of radii R and 2R, are released au.u *d3ld7yo1k;bf hxr4fp 7 simultaneously from a tall tower. Which will reach the ground firstxykd *.7lord h3bfu4u71 ;p af?

  When a small spherical rock of radius r falls throu3 w+r,p+5vn,glp3, tho rn semgh water, it experiences a drag force 3 mt w,r,s5 nlh+,3ppov en+rg$F=arv$, 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 greates//*u: swye k6ojm whu (q.tl3ct effect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quan*/cko/w3w:jlq y.eumh (ut s 6tities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice tpc .z.t(k0972fhiu0bkf m cjt he diameter of pipe A. Water undergoes viscous flow bf(9m0 2k zc kj0thfc 7itpu..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 is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as long as vc3 8l6iizvc0zk, /exsg(ab 0+il*v opipe 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 iv 0k +i6,/cga3 bol08z(iz*xs lceiv vs the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "gq0.uv-e1 h w w4wlneld2u3i1l reasy" 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 terms e-vl 0ihw3un4dwe1 1w.qlu2 l of

  When a tube of diameter d is placeo.a+e*rlyx ( gd in water, the water rises to a height h. If the diameter were half as great, how high would the watex*(. y+ealrg or rise?

  Certain insects, such as the water bug, are sufficiently lightweight that they d,v3e flaxg 683-fnqd 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 dimensio-3e d6g8dl x n3qva,ffns. That is, bug B is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the +1 ya55hm1i 5g/iat:tedknk bwater 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 posbi1tmt15 5g i:+k 5/dnkha ayesible 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 cccqnet i(p:7ksh s ;l- vrt14g.n5 .ecm has a mass of 30.0 g. (r g- sin.kcq;t.pc5nv: e 7 cshel4t1 What is its density?

  A liquid has a specific gravity of 0.357. What i lub0d 1c43eems its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. Wha8 f7f;fqf yg*lt is the maximum pressure fly ff8*;7gfq it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each sn+j: xgccol+j 1ppl2+wb4vcp) owshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a sw+ki7,h ej5t nubmarine withstand at a depth of 120.0 m in the oij+kwt,h7e n5cean?

  A circular window of 30 cm diameter in a submarine can withstand a maximum ffmgtffk2 yx+ d 7o69y8orce o7 6gkxm8 +9f doyyf2ftf $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge presghxjb 5tmr d.1d0;m *osure if the absolute pressure is 300 kPa?

  What is the gauge prej654 1j+ g.jmn wucm)de6fiv .zc ooz)ssure at a location 15.0 m below the surface of sea? (The density of seawato4 5iej.6c)jwz omz +n.g cmvu6)fjd1 er is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a locam3.e )dq8b8t+kx f+gd2 honzttion 15.0 m below the surface of sea? (The density of seawater isgt .tf+n ) zehd+ kmox88db2q3 $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of arh4z+dvlom1+q zi6ah(;g x tnq *5;hn hydraulic machine. The small piston has q xzh4+mh5aing;d 6 r;thlq1 n(zo+*v 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 tq+x 6kr )nc9k ihci,+4tiza5c he large pinzcx q6ik k,5ii c hrca4t++)9ston has a radius of 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 cm diameter hu rk j9c1li4*hydraulic piston. What force needs to be applied to a 9*4 rcjh1iku l5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulip*l1s.k;iry gr- fch0c lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a loc.sfpryhl 0;ki -*g1 rad 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 waterd1n 2++sdt1ek rjrs7c . What is the buoyant force of the water?++e17rst n2 rjcd1dsk

  An object has a volumed7 -k: uobmcf: 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 in pcfd2pub 7b356dcdk o19nu) t water. What is the tension in the strin)cu5pd6bdo3 ut1kdc2n79b pfg? (The specific gravity of iron is 7.86.)

  If the density of gold i qk/1 megqp6 ffa)i7y8s $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel su .s4gl ahijz7arlr2p:*c ;v v06h*qntbmarine (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 agg+xv:en x iaf);7o+ xnd 6.86 N when it is immersed in water. What is the specific gravity of the fgia:+ex)x;xn+ 7vg oobject?

  A container of water is placed on a scale,ug.3i,rh pc9 d4wz1qk and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended frrk31ihqd p94 wg,. cuzom 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.rld) zb63a w- jn+cny,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 willwwqek 929+t dy just barely float in water. What is its mayw+992qdt wekss?

  A rectangular box of negligible mass measures 5.0 m long, - ,w um:(6rv3cgib l. oj2eqhx1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the bowi,:g.o( 2h -ebmxl6 jqc3urv x 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 s(0 h7cjo tsqq +c7pbg6pkm68durface of the water. The weight of the displaced o(7 g+b8p 6pc7qs6jhq td 0kmcwater is 2000 N. What is the weight of the object?

  A solid object floats in watyt-+a btw n;lvijg2+eb5 (17khh8cvter with three-fourths of its volume beneath the surface. What is the object's densityhljtb5tca(w7+n g+2bet;yv8- hik1 v?

  A 200-N object floats with three-fourths of its volug-6s6 us3fi vjilfk7(me beneath the surface of the water. Whg(fus7-6lfikvi6s j3 at is the buoyant force on the object?

  A polar bear of mass 200 kg stv v8)4h+f foyq,b5guz3mqzpron: v32ands on an ice floe 100 cm thick. What is the minimum area of the q r3:4mq2yozg f5p3 vo +,8)hvub znfvfloe 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 at 2.0 m/s. Find the flow ljd1lvohm ;f( me*+p+ki: (norate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There n6 ak-7lzr7 fqis a 2.0 cm diameter restriction in the lir6kfl7-qan z7 ne. What is the velocity in this restriction?

  Water flows at 12 m/s in a 9vcx *kz.e9,uxm37mjiot j :1 6wppxchorizontal 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 tak 3:hb8pcaw.v4gze)hgp/ . nd6gd pk)te for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above thb 3 ed)4p)ngk .6ggdpcazhv :8wp/.hte pump?

  A hole of radius 1.0 mm occurs in the bottom of a water stoyg,to3tfxoyxq8 +/sy)v yd15rage tank that holds water at a depth of 15 m. At what rateqgyxy)tox1 /ty,o5+ f 3svd8 y will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectionallu:;yz-mgbcrnvbtt.;9sq6pi 1 *3 fl 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 a /ek6-;or*d6/k kd3j+y0uoh smvwnf it take to pour 4.0 L of oil through a funnel with a neck e/6 jfmod0*vuakwy +- d3h6n rk;k/os15 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 tissue on the wall of an arterb fyr5b9go;t)( ,ttqb/j.4egjea4d gy decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant bloore (bfe g4gy9o ;)4gttjj,bbqdt./5a d flow?

  Two narrow tubes are placed in a pan of water. Tube A has t k+oq 73n9p,hpgz6,s;m tj16i rtrf p8ugy;jvwice the diameter of tube B. If water rises 24 cm in tubi7+q3vgm r f 6szgt8u, jkp,hr9yn j6p1o;p;te A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in a v-cjr11jv 75odu 7 hrocapillary tube oj1ou -5cvj7rrh1v od7f diameter 1.2 mm?

  232

  To what height would water at 0 d ryl a4k))o5adegree Celsius rise in a glass capillary tube with a dia5a ra)o 4l)ykdmeter of
0.50 mm?

  A narrow tube is placed vertica8 uc5nanza 2;+kn; jx3l4r ylally 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. What happens to thrca8ku; ; na 5jzl2n34 axy+nle height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a yp 2x.ll*xp wt;m gs(2soap 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 side?s(lw px.g*y; txlp2m 2

  An adjustable rectangular frame has length 12 cm andpc-bhz-zr;v gyt(af, yy7bm,23pb x . 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 yybrpgmxhv y,2-zf ,7p-b(z;cbta 3 .frame is 12 cm square?