The three common phases of mahs-. zdyfs65a ney2/ko3y /sftter are

  Density is

  Substance A has a density oc a6xez .e499*h9 braugfnj)vf $3.0 \; g/cm^{3}$ 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 isvq; ur t81om(h not a unit of pressure?

  Consider three drinking glasses. All three have the same area base, and all tnm/2b4zv .qj2ml8ym, 8 o x8e1p qsmcbhree 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 t e81 c j84ln2mmyq,mmq2bp8x/vb zos .he bottom, and so holds less water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference betweewb.l,:*y azffz(kg5e n the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens toax071ugw48hw ssqh -w the absolute pressure at the bottom of a 8x-gs 0 s1hwuwah7w4 qpool?

  You are originally 1.0,f+ -t9gnbv)e2 b n -yu:qwaij m beneath the surface of a pool. If you dive to 2.0 m beneath tt-gw) jnbq-9a uf2v yenb,i:+he surface, what happens to the absolute pressure on you?

State Pascal's principle.djk,9zw - /u;(ap9rcqw z 7thu

State Archimedes' princ :g6l -wvsgurk6q.1k ciple.

  $50 \; cm^{3}$ 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 h s/1a7a9d hugpappens to the buoyant force on i 9ud7s aga1p/ht?

  Salt water has greater density than fresh water. A boat floats in bot)vliolhq 0lrx+3 qp;qg,w1 /gh fresh water and in salt water. Where is the buoyant force grea pi qr3;qgglxo0,wh)+ l/vl q1ter on the boat?

  Salt water is more dense than fresh wao l/kvy4z .hv/ter. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the sv4z//o.ylvkh alt water is

  A steel ball sinks in water but floats in a pool of me:-pauvusv5*q rcury. Where is the buoyant force on the ball greaterasu*uv :q 5pv-?

  A 10-kg piece of aluminum0xo/it; hu5tk/mz -3anfyg9 -w 0mfnn sits at the bottom of a lake, right next to a 10-kg piece of lead. Which has the great w-t;t onf9inxngma0u3- my/ h05/fkzer buoyant force on it?

  A piece of iron rests on top of a pis m.su1-qr9k gece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the watek gsrs9 mu1q-.r level in the tub?

  A piece of wood is floating inxv-m mkaz dn47k 1+pj. 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 off and placed in the water, what happens to thex1.mn va dkzpkj74 -+m water level in the tub?

  Water flows through a pipe. The diameter of the pipe at poilj:gt3m7(i :qsbd 0*tlhe.ch nt B is larger than at point A. Where is thetd 3h7gq me 0tl:ibljhc:(.*s speed of the water greater?

  An ideal fluid flows l4+tk7u v:i ymat 12 m/s in a horizontal pipe. If the pipe widens to twice its original radu7y+k m :lt4viius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If t42utfhc v s5w6eb0e c )ni41bihe pipe narrows to half its original radius, wh cvb ft2e0c4) s ni56bh4u1iweat is the flow speed in the narrower section?

State Bernoulli's princ;a5n hxyx ga98iple.

  Which one of the following is associated with the law of *ck:leg.qh9d24lt,4om rg pxconservation of energy in fluids?hle2 4 lkd: t94mg*,qocrpg. x

  As the speed of a moving fluid inc (;w;qdlc bnca02/ ycrqj* ki8reases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe a1m ld;id+v2qit j;/ojt point B is larger than at point A. Where is the w;dj1i2il ; m+ /tqdvjoater pressure greatest?

  When you blow some air above a pa)d)9bm q67t gfptm*tlper strip, the paper rises. This is because

  A sky diver falls throf(udxcz k-0kk9 0:xkhugh the air at terminal velocity. The force of air resistance 9kdhz:c fk-(0uk x0xk on him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a /u c7l,t )0yl5jo -fmzabex/ew p*o 4itall tower. fzc) 0l7,*p-yw5 jte 4aimoox//blue Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it experiench y 84(3ns se)sm4bm(z.vtazbes a drasa snbm3)(.etbz(sv48mh 4yzg 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 flow of fl bj.jvgd8;f6ph 5juck vti :tk uz*(*,uid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in the flo,tk*p *d8v 5;hb (ujjk zcf:j6ig .vutw rate?

  Two horizontal pipes are the same b b),e+tn kqx4 ok(w)leqh9/plength, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same press/k e9)qbw xkeptn hl+ o)b,q(4ure 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 pipl3;nw.:x 6+hwl 9pma uw bidzk,id:2le 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 rate in pipe ,auw2;w36md:b9 . ni:+ x wkdplzllihA?

  When soup gets cold, it often tastes *og r* 5+kdrmw*-ba kwgreasy. This "greasy" taste seems to be associated with oil spreading out all over the surfarkr-o w* a*k m*bd5wg+ce of the soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d i)qz cbpevsnje mm f8 c+y 2k674,ke6:js placed in water, the water rises to a height h. If the diameter were half as great, how high would t6q :sv4b 6jn) c7,fkpezm8jeym+ek2che water rise?

  Certain insects, such as the water bug, are suffi:ik5ojvuq x 6(2f2 f+ivc2q:a 5gxwzyciently 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 v :f(x qxi5kv2zwc+jqy 2f5ag6io2u: 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, are sufficien+y3hc/3.p bj 1hxlutz tly 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 feety/31pzh.ctuhbx3+lj . 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 mass of 30.0 g.j61rjy. cf6q ;fema;f 06yspr 6q6 aj0rfe y1c.fsr;;pmf6y j What is its density?

  A liquid has a specific gravity of 0.3jt f*/lc, 4vqr57. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. Wr )q b5p0 zd31hmllzl6 cms07khat is the maximum pressure it can exert on a hor0 l65rz)b01pcdlmqzm3 7s kh lizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has area 1hhor6i1um;03s-qoz zgjg jvo r*+* f$2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a su9fgctpvtp: +3bmarine withstand at a depth of 120.0 m in th3gtp:c pt9+fv e ocean?

  A circular window of 30 cm diameter in a / cn f+:042 pfcp eqjtess40uzsubmarine can withstand a maximum force oft4+sjcf2fe4sc/p0 zen qp u:0 $5.20 \times 10^{5} \; N$. 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 kP/iiqagf0tke6-6 0e le a?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (Thmav40- u fwdq (ls27ej5z( lyhe density of 4(sj a-dl5vqfu(lhe0wyzm72 seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface of seo6ppwg j ux.-ysb -k75a? (The density of seawa6-gpyobkujs p- 5.xw 7ter is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. jfa t0h 57 b, xa-bdtlp1e1x pgf9x28j The small piston has pj2-0t15 axbb 8,fl 7 egax1jhtxdpf9 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 rade 5ahf6hxa4h7b e7w0 eh+ t(cgius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small e+h0xh( 77wb ac56egha4ehft piston in order to lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is k q -i 93bt:qf7dj+lqtto be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a qfd:lj3qbi q9t 7+-kt 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm,t0ga 4xp )u5qo and its large piston has a diame)5 ax0o p4gutqter of 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 +0xhzd: k(k3zjn /fsn. odbk-air and 30 N in water. What is the buoyant forcj zf .-zk3dsdh/0n(bo: x k+nke of the water?

  An object has a volume of bw-5yxv:lujllwp)2g(0 ljac u +q7+ d$4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid y4 .dpg5g hk8v29djmttb ie)y )tpi96iron is supported by a string while submerged in water. What )ygtgpd )i jp 4v5iem92. ytk9bt86dhis the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold (ep 43p8yto feis $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine a+ wij7 kf)a;w1 rnumq8/:a 5)xzelbj(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 p;g; w uipb/0jair and 6.86 N when it is immersed in water./wb;pgpi;u 0 j What is the specific gravity of the object?

  A container of water is placed on a scale, and theqv;enf viste (3 87 7rmq(ugn+ scale reads 120 g. Now a 20-g piece of copper (qesv+mnq7;8eitvn73 ur fg((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 with a mass of 1.0 kg and densityuejnn -vqy5 3-*;)rm zeui21goa 5etu 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 12b9 bu4:i 1eido cm and diameter 2.0 cm will just barely float in wate b4b9od:1 eiiur. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, ao fuxi3 gk ao+m7n7wx,l2mz ;8nd 0.50 m high. How many kilograms of mass can be loadikxf omolx7 +28znw,a ug;m73ed 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 with half its volume beneath the surface8u zttvjo,2b3 of the water. The weight of the displaced water is 2000 N. What is the weight of the ob tt 8z3jvou2b,ject?

  A solid object floats in water with three-fourths of its volu0t-uy61ndv y bme beneath the surfaceby 6tuvd01 yn-. What is the object's density?

  A 200-N object floats with three-fourths of itss,3iwz l m3y(o-qf2 xa volume beneath the surface of the water. What is the buoyant force on the obfy2,wxoma ql3- (3sz iject?

  A polar bear of mass 200 kg standru9fscagvdl w8w( .pa.rr*:; s on an ice floe 100 cm thick. What is the minimum area of rwal vs(ra*rcd 89: wu;.gpf .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 at 2.0 m/s.n qls2e3-u py4 Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm dh59jd c97bwnt. gx 3hzk,e5skiameter restriction in the line. gh5.k 9kbcn 5ewzhdx379,tsj What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal25jkei 3,xc8n2/yo3juhb aei 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 ta2i,i(;,d b flzfv2nfo supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the ;, 2fi vi2lz ba(dn,ffpump?

  A hole of radius 1.0 mm occurswaw ,6, 9vj+ mceyqudq9rv :8w in the bottom of a water storage tank that holds ,qrcy:6+w w v,jq9u8 dw9eavmwater at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectionac7ae0+c u rzv8mwxgf wkg.wg/r;8 2p/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 viscosity of 0.20 Pa-s. How long would it take to po3j(ul iddz(7,k:vrsvyh p3 ,t)k/boy ur 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, and neglect any drag effects due to the upp(sk7)3kuyihpr/ t(,yv vd3jb: zl,o der part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an ae7*1a dt,qr.+ ,) j mo ydp8jrxd4ctobrtery decreased the radi*7. tddt rjmo)ac xy,18pd e+q4jrb o,us 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 placedp/+s 8+qf16yredony q in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how hiqyq esrpn/d18 +foy+6 gh will it rise in tube B?

  The surface tension of water is 0.0 osfx ;d3 eh3:gga)6tnk6*aa x73 N/m. How high will water rise in a capillary tube of diametedg)as ax gf3eh;oa 6t: xn3k6*r 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise ig- skpqu+ r e9+f 9oz+qt6*uswn a glass capillary tube with a diamet6qk*p+e-u ozf+s9g+s ruw9qter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, a*lbpik z )(rn4nd 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 znkp)i4 bl (r*some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a soapa(c. (i020py/t xifzcnj -i kp film formed within its confined area. If the surface tension of soapy water is 00(i/fkanx0 p z(c jic. 2p-yit.0260 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular xax w rko28;c3frame has 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 a3 xroc8 ;k2xwto move the adjustable long side so that the frame is 12 cm square?