The three common phases of mat:a.hcf . zws)tter are

  Density is

  Substance A has a deno,mn n13pvcf,4rq ky)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 following2g*o,k aro c7l is not a unit of pressure?

  Consider three drinking glasses. All three have the same0xj e::d,wo :o1qiavz area base, and all three are filled to the same:: 1ewzqx 0vaj:o,iod 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 pressures inside and outsiyecd856dxd/zxo- h .c20 awh hde a tire called?

  When atmospheric pressure changes, what happens to the absolute st132 plgkhancq * w,;u:kk- tpressure at the bottom of 3kt qthsk:n2w clu1,*-kp;ga a pool?

  You are originally 1.0 m beneath the sd- paw1n yyl,fr ez1p17 39uupurface of a pool. If you dive to 2.0 m benea,u-npu 13la7f91w dypp z re1yth the surface, what happens to the absolute pressure on you?

State Pascal's princi vjp 1.6u,j71 oa:ogk1m)7auxscvwo zple.

State Archimedes' princip lx (oo gcuab.s326:2a meh-hale.

  $50 \; cm^{3}$ 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 constant density, what hqzveg uyt :- yag /m)v0e+w+le6:d j3kappens to the buoyant force on :ae3jvkeug/ lm:+ygq)v y te d-zw+06 it?

  Salt water has greater density than fresh water. A boat floats in both fresh wasdc:fuif*6q7 5s alzlqvxo 7g ++v.o.ter and in salt water. Where is the buoyan xoa.u lfs dl*6cvq+s+z5:fv7.q goi 7t force greater on the boat?

  Salt water is more dense than fresh wa.ww.y0 dpx0e-2p 2f /3ojcpizykgy6zter. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt. g6y py0zyco20df/ -w.x2pw pik3zje water is

  A steel ball sinks in water but flos/ tew:vx nw*jea*z )8onac ds* 01o8oats in a pool of mercury. Where is the buoyant force on the ball greatersdt/v*ac*o): 88z 0s*aeowenwx n j1o?

  A 10-kg piece of aluminu,.gmbej (l6ytrd 0hg* m sits at the bottom of a lake, right next to a 10-kg pi r lde.bgg60t(h, *yjmece of lead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathp h53: u3zlzsstub. If the iron is removed from the wood, what happens to the water puz:h3 l35zs slevel in the tub?

  A piece of wood is floating in a bathtub. A second piece of wkt,6:jxn 3l4 w3 ynrsoood 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 the water level in tnrx4t w 3k l:o3sjy6,nhe tub?

  Water flows through a pipe. 3yycj40*or rl +,zxyw The diameter of the pipe at point B is larger than at poinr4o0r +wy y3 x,zclyj*t A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pi; ao:e-qjhc x;4cunn;wg /350x ltxmgpe widens to twice its original5h3ug;0waqe xgt;4o/;jnlxccnmx : - 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 narrowsip5k ;op w4xb+ to half its original radius, what is the flow speed in the narrok w4x+pb;poi5 wer section?

State Bernoulli's princc2e )vcij x71h,/xboj iple.

  Which one of the following is associated with the law of conservation of energyza:bf73.+x6 kxxe xfy in fx:.k6+ x73bzexy faxfluids?

  As the speed of a moving fluid increases, the pressure in the fluidqj8 /s.1oy sek

  Water flows through a pipe. The diameter of the pipe at poibb1ob 0o xz0:bnt B is larger than at point A. Where is the water presbb0 b0 :obxoz1sure greatest?

  When you blow some air above a paper strip, the paper rises. This is; n8gtc9ilwu2vtt96r +7gl se because

  A sky diver falls through the air at terminal velocity. The .ceqsvr. un70 force of air resistance on himncv7qure.s .0 is

  Two Styrofoam balls, of radii R and 2R, are released simultaneouslhs6h7 gg8bde5uu zzf1+(qn*z y from a tall tower. Which will reach the ground *u+nzhsdz(7ghgq5ufz6be81 first?

  When a small spherical rock of radius r falls through water, it experiences a dr bbd nc/vs:ij23,ym4o agyv, /mocs4bn3j i2 :bd 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 effect on the flyg wg1v,:fsj 8 /fay/low of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which wouldy:ysfl8w ag//jv,f1g cause the greatest change in the flow rate?

  Two horizontal pipes are the same length,yfu )zrr /t-8s but pipe B has twice the diameter of pipe A. Water undergoes visco frys-u/ )rtz8us 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 is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twics u6kz 80j bh0k: fo*3vwx6pd/izt*qte as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same press86*f0tv3u kikz0s6 t p*/zxh:bjodwqure 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 tastes greasy. This "greasy" taste seems to bx(be8 ajcti5xdyi2 x1 qyq/c 4.+ m;eoe associated with oil spreading out all over the surface of the soup, inideyitob;8 c( e 21x/y+jqxqc4 m x.5astead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in wa519uys kwk-al ter, the water rises to a height h. If the diameter were half as great, how high would the water riw- yas95 klu1kse?

  Certain insects, such as the water bug, are uj9 8+slk: o9 nuxi3oga7 qeyg +v2k4asufficiently lightweight that they can run on top of water without breaking the surface tension. Water bug A has weight W. Water bug B is 9ei gkx2 vk o7ay+3qsu jnaou9l84:+gtwice 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, d+ 1 ympl0gp7alc0cx+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 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 o+ clxy0+p1m7gp dcla0f bug B?

  A plastic block of dimensions4+p clavn (mur4, zyt5 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What isa4yz4vu (ntl5c+mp, r its density?

  A liquid has a specific gravity of 0.357. What is its densitd o6q9bnlp93 8b 0vfcpy?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00nv 2wv;7lqpvjh18n. se b8-ek cm. What is the maximum pressure it c1v .jehkwlev82 ; -bq7p8vnn san exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Eara(legmb :.l+/p k.sach snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine1etumx: ,pauhk-r ;.e withstand at a depth of 120.0 m in the oce:k. ut;ehmu-e1rxpa, an?

  A circular window of 30 cm diameter in a s*5mva cmmk50ol b:t5jubmarine can withstand a maximum forcemo *vmjt0bk55lc5am : 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 pressure if the absolute pressure is 300 ,6d lh6t ,d x5vzg)uhs 3bq+wiro.2k gkPa?

  What is the gauge pressure at a location 15.0 m below the surfac8x wdwkyjg/5j+g i 88ixnf/ t8e of sea? (The density of seawateri8j8j f 8kgnwtixyx+ /g8wd5/ is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below f 45 xknsqj6(athe surface of sea? (The densi(qja6 nf4sx k5ty of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic qk7z(; dlrf8h machine. The small pistod lrh8fzq7k (;n 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 b5,*mgvf5ip53 mb v,ny;xdlb7 n*ayhu b;8x h 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the nx f bm;b*5u d85vl*m7hv ; iy53p,ygnahbb,x small piston in order to lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be .d0n:p ail jo,c mid)4lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm olndj ,.dia4im):c0p diameter piston to accomplish this?

  The small piston of -ir;vlmp8tbv e*2b4ua hydraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a loadu2bm *4 tlrbp8ev;i-v 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 vekt: (-qt et:in water. What is the buoyant force of the wat- vqe tt:t(k:eer?

  An object has a volume of f:4zmo ne;a kipx 71nft cs((6$4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supported by znfhk1xwt)2)u8(btyp 6 tl3va string while submerged in water. What is the tension in the string? (px1y t3fwu (2n8h bzvk)t)6t lThe specific gravity of iron is 7.86.)

  If the density of gold iseka..ybz6 4abfx, 4*yi1dj zu $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (d qfu-uutznb236x yk3 m +;:lc b16xsegensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 2enakqu1); bu when it is immersed in water. What is the specific gravi2b nuq;k1aue )ty of the object?

  A container of water is placed oqnybl:8* kab 5n a scale, and the scale reads 120 g. Now a 20-g piece ofkbby8 nl5a *q: copper (specific 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 witjlk (ko72ta pay)3td .h 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 12oq;xsg2qd: u v4 fbfa)k: io.+ cm and diameter 2.0 cm will just barely float in water. What is iuo 2 ) fq.4iv+q:ogsxa:;bfkdts mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 mx)hcty3vz.aa ru +d,4 wide, and 0.50 m high. How many kilograms of masavat3c rz,udyxh+ ).4s can be loaded onto 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 wit3st(eir q 2um8d9lr su m4w4,fh half its volume beneath the surface of the water. The weight of the displaced water is 2000 N. Wha48,rti rqlummw9(du3fe2 ss4t is the weight of the object?

  A solid object floats in water with three-fourths of its xg *7x px ydm),62pks-2tbz vxvolume beneath the surf6), b zmkygxt2-7psdvx*x 2 pxace. What is the object's density?

  A 200-N object floats with three-fourths of its volume beneg pp2 n 1fc7,v 7d:wbwldi b(*9-dgfhvath the surface of the water. What is the buoyant force onvp :fd(d-i7l hwgvg1df2cn pb7,b9*w the object?

  A polar bear of mass 200 kg stands on an ice floe 1) * ugyq9esn7n00 cm thick. What is the minimum area of the floe that will just support the bear in sa e)ygu*9ns nq7ltwater 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 w *()gbujze5vflow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. They2l y- dfpgyq1b4zcn je87/-ore is a 2.0 cm diameter restriction in the line. What is the velocity in te zjoglpd4y 8- 7ny-qby12cf/his restriction?

  Water flows at 12 m/s in a horizontal pipe with a preqf/(k p1h0ap bpw l3q0sq r.j3ssure 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 w- gw96ozwvb/qith 300 kPa, if the fount 9o-g/zw 6wbqvain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank vxenu8g 76p4pd3b kp.2y n2methat holds water at a depth of 15 m. At what rate will water fvym.x2dn e6g4pnpp2e 8 37u kblow out of the hole?

  Water flows through a horizontal pipe of cross-sectiona6je3j1pc) ow6nsaa (j l 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 viscosoe3p dm2 *q+t;rto6wsity of 0.20 Pa-s. How long would it take to pour 4.0 L of oil through a fun qpo*red st;6o+32mwtnel 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 tissue on the wall of an artq6gszf1 2r ,;qoozq.ojy 5 +pfery decreased the radqf 5 jszqz +f2g;61o,qpro.yoius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A halpgny*9pz z nmi/: qoy)c6s/ xk1s0 6ts twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rn 0q/pks1to*9iyn/m6sxyzlp:z 6 )gc ise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in a capill +4p:smsot t 34dejko)em+ k3oo4 d) t:sstpj4ary tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree q 1qevh9/sr3(+xbfe t Celsius rise in a glass capillary tube with a diameter oes1e bhv (r3fxq/q+t9f
0.50 mm?

  A narrow tube is placed verticall5h h 0rz2af6l3v2swzo y 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 f65z32 aohwsz v2 h0lrone-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 framacscle1vup/ ,+fi 7)n e of length 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, how much force does the soap film exert on a)i ecfnc ,u+s 71/lpvthe 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and ii*pg0w3e1r bkr jd0; 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 adjustae r3ri pbd0*;1 0igjkwble long side so that the frame is 12 cm square?