The three common phases of maa+p 3vw0up4es aq6ee8tter are

  Density is

  Substance A has a density o rbyg3r3sju 2ph2a3e0f $3.0 \; g/cm^{3}$ 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 pressuxzro-z1y5 hg-h 6 td)ure?

  Consider three drinking glasses. All threeccp/znn , )d*y 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 liquinnzpd/ycc) * ,d pressure at the bottom?

  What is the difference between the pressures inside and oudp uxew-+/g ;);9odj(c aiior tside a tire called?

  When atmospheric pressure changes, what happens to the absolhuv 0*9m9bsk1q tahs )ute pressure at the bottom of a pvqsu*09 hst1ah)m b 9kool?

  You are originally 1.0 m beneath the surf pm acr8+fbb9 y*ii,kb qvcyr 7aya0m/080lo0ace of a pool. If you dive to 2.0 m beneath the suraa 0ya, l08c/m9qck riib+* 8m00brpo yvf by7face, what happens to the absolute pressure on you?

State Pascal's princvy r(g4 .skru,iple.

State Archimedes' princi kfw(/dm- d8.(qpm wssple.

  $50 \; cm^{3}$ 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 wa-pgpe 7v6lcr6 ter of constant density, what happens to the buoyagvl7p rp6- c6ent force on it?

  Salt water has greater density than fresh water. A boahtoq -+ q6f3jdt floats in both fresh water and in salt water. Whefq6 3djo-q t+hre is the buoyant force greater on the boat?

  Salt water is more dense than fgf j7 lqivki.3 mw,j-(resh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volu(j.-3kwgfl ,jmivi q7 me of water displaced in the salt water is

  A steel ball sinks in waofo0: uoz1 ae6ter but floats in a pool of mercury. Where is the buoyant force on the ball greate :0uoaofeo1z6r?

  A 10-kg piece of aluminum sits at the bottom of a lake, right nextsy;z fyvi4m)1 to a 10-kg piece of lead. Which has the greater buoz);4v ismf1 yyyant force on it?

  A piece of iron rests l(miu-n 1 1lqw*s8mcnon top of a piece of wood floating in a bathtub. If the iron is removed from the wood, what h-qwl(cs n l*1 18inummappens to the water level in the tub?

  A piece of wood is floating in a ,4an daoud3rd jndn2rn;s8;.vcc (4 pbathtub. 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 the water level in t2drnj84n; ;d,v( sa3rcn danu o.dcp4he tub?

  Water flows through a pipe. T:dot+rp9x(rs f9r ) xwhe diameter of the pipe at point B is larger than at point A. Where is the speed of the water greatexprotr9 (9sf+x:wd )r r?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe wx y:0q*rewbu +idens to twice its original radius, wha+uwxr:y b 0qe*t is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a hor7j/ pg fcga; x(ff0ez;a i(9tiizontal pipe. If the pipe narrows to half its original ra (fe(tfpicg/gjf;i9 7 aax0;zdius, what is the flow speed in the narrower section?

State Bernoulli's principl .bd3a3+dl6r2t gmro we.

  Which one of the following is associated with thu9l1g;( jqs6 h,eioxr e law of conservation of energy i;s,6 qerx g(ioj 1h9uln fluids?

  As the speed of a moving fluid incq) 4by3z a4j8gg ;rcxureases, the pressure in the fluid

  Water flows through a pipe. The diameter v 4x.+:prxdgm of the pipe at point B is larger than at point A. Where is thmvxgprx:4 d+.e water pressure greatest?

  When you blow some air above a paper strip, the paper rises. Tpdj)s;gwahe;n 8,pu ,his is because

  A sky diver falls through the air at terminal velocity. The forc9c x,jc i71da9ogfw4j e of air resistance 9c4i17 w gd9fc,ajjoxon him is

  Two Styrofoam balls, of radii R and 2R, are released simultan3k38nd9vj ) ntiavci:eously from a tall tower. Whajvt ki)c:i dvn938n3 ich will reach the ground first?

  When a small spherical rock of radiultjiykt+4whz0 k-: l3 s r falls through water, it experiences a drag lilkyh4:+ztw k0 j-3tforce $F=arv$, 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 effecpdm*q:,m s sv.t on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantitiem,*dm:s .q svps below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twioro d2miy 31h,4wv g,p +-aqbrce the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference aogp24,bir ,h +3v- myda1qrwocross 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 diameu;qjgl9r : 03 zfp2shiter, 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 rs q0i2rhg9 fpjz;u3 l:ate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tarc 0zze 8r;hrk7-ct7 vstes greasy. 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 rv 7kz c8tzrce7hr0-; is readily explained in terms of

  When a tube of diameter d is placed in w.p0xjnt f 2/:.gjqg4 wh1y xvcater, the water rises to a height h. If the diameter were half as great, how h.1pgn cgj 4x0:v/y2xhwq. tjf igh would the water rise?

  Certain insects, such as the water bug, are sufficiently vhdaknovuu3 5 q5+i,4 lightweight that they can run on top of water without breaking the surface 5+i 5u 4n,k 3avdvuoqhtension. 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 water bug,4cs ( 7ewja.,f +ywtla8im 9fi 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 iiet74af ml( s+ y8 iwfwj,c9a.n 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 dim)nv.w or lj. f1fa h.hxzd3sh,d s:/+pensions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. xlj oh d 3,.+d) v./zwhpr1ahs:snff.What is its density?

  A liquid has a specific gravityhq p.4 eaym.ea;u,.im 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 i3 irwy q1-djvz7rtwr x-i a3)i:pp t3/s the maxim-q-:i3vpaii1td ) r t/jrr wx7zyw3 p3um pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshwzo kdt882y qql57e1 ldi3.fhoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a de zh 4af,dg.9z*x yfiue3xa0 f*l8 z5xbpth of 120.0 m in the oc9,uxhxzzf3l. *zdgaix50 4eafby f8* ean?

  A circular window of 30 cm diameter in a submarine s:dd2t7e:(su k-w r.g silww4can withstand a maximum forced2 ww7 -r:ssi 4(dkelt.gw:su 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 pressu( 9.kl5 jgeuhhre is 300 kPa?

  What is the gauge pressure at a loct/z h8w2rlw39.w0fg i4 delg cation 15.0 m below the surface of sea? (The densi zr2gl3/d 09.ctehw8l4 gww ifty of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the sca-cn,oz qt ;y0e3ps )urface of sea? (The density of seaz) q0aoc3; ,c-yptsenwater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydr1 sta dbp)l5e/x,yvrb5 he :6iaulic machine. The small piston has area le/yed 5rb5st p,vb6h xi1a: )$2.0 \; cm^{2}$. 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 k c-5qw2)f+ pm4jzu m j*.espthas a radius of 5.0 cm and the large piston 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 th) pp.4wjq-+k* fue zjmmts52c e large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulicoi /6fy.bfz-i piston. What force needs to be applied to a 5.0 cm diameti/ . ib-6yfofzer piston to accomplish this?

  The small piston of a hydraulic lift has a diameter jzvp rk2r /dh+*yk(l)3vj c1kof 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,000jpjhr1z *klk+vk/vy2 drc(3) 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 ai bxe)mc/kqldowe7my) x +8 :,ir and 30 N in water. What is the buoyant force of 78bc,xxo )y em) edli+:q km/wthe water?

  An object has a volume ofd*kfrj 5pvj2le3zt, itnp 488 $4.0 \; m^{3}$ 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 eixcn87yg2 cvk9,h1psz/8wyv yq- /t while submerged in water. What is the tension//zpy 2978,sevty g1 y8cnxci-khwv q in the string? (The specific gravity of iron is 7.86.)

  If the density of gold r4cu:h(wf4 s gis $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submaic2nau 2/v6lxw4 rsr+:q hp ;vrine (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/wuimt0, j. sn it is in air and 6.86 N when it is immersed in water. What is the specific gravityu./0ws n i,tjm of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Now a 2qjf, om (d,7oy0-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the water, not todjo7fom, y, q(uching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a 0a 8arri6 ogd6i n(bzp1q/yun.)bc tzxx 9i .9mass 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 len5.exi/- c-rdamdu ) bwgth 12 cm and diameter 2.0 cm will just barely float in water. What cex.- wri-mb/5ddau) is its mass?

  A rectangular box of negligible mass measures 5.0f. c;v21zd vq/sp8s8q c)a wqy 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 in c s;y vw8.z1/q pqasd vcfq82)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 of thevf fhx wg;)fdhb-rrg07:s/m 0 water. The weight of the displaced water is 2000 N. What is the weim/b7:0fghw fdxv;f-0g sr r) hght of the object?

  A solid object floats in water with three-fstp62tw h g5a5 b18k6s7cnmxz ourths of its volume beneath the surface. What is the o6mst gaz5ctxw2k7h 1sb86n5pbject's density?

  A 200-N object floats with three-fourths of its volume beneath the surt, cb:t.s x+ykface of the water. What is.xbsc tt,k:+ y the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is 0 g:a*eod. m vdce u;dtxhd;02i6y1djthe minimum area of the floe that will just supo ee0a2d ugddx hdc:y6mvj.0d 1;;i*tport 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 2.0c u18,wxyx4f i m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1. jb5dh ybr*gs0ior;* 70 m/s. There is a 2.0 cm diameter restriction in the line. What is b gb75y;r*rojd0 i s*hthe velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressureq d.mfusuela0( *yl43 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 b nam8fhl4b0 x /ut7tx5wt27y drinking fountain with 300 kPa, if the fountain is 30 uxybh 45wt 07t t28m/f7nablx.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that qsiy6-cyo 2)ifsq u61holds water at a depth of 15 m. At what rate will water fls6-6 )qos2 1ufy qiciyow out of the hole?

  Water flows through a horjw7fiz3 +5bd x-t fy 8qk71hhzizontal pipe of cross-sectional 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 ta:v*q0b n i 8ar.dft +g7nk9ew32pxvcgke 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 oge7 xv*.v3agq+ 8 nbnr0 widcf:2 k9ptf 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 artesn.bb, x8 8 x)3xcia2h6xprhdry decreased the radius by 10%. By how much woulx8h .c)xprax8,3n6 2s bxib dhd the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in*ps +bld. n0ck a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A,b+0ksn *c.l dp how high will it rise in tube B?

  The surface tension ofz0r2(4y: efr n)f) g 17wpkg ncziu1ut water is 0.073 N/m. How high will water rise in a capillary(cngwu1tk nf rfy2e 7z iz1rp4gu)0:) tube of diameter 1.2 mm?

  232

  To what height would waterfkbtoa ql78)-fvz ifry ,v(,i:9o u :z at 0 degree Celsius rise in a glass capillary tube wily ,z9ai:kqrtvzff7fvo )u- :o(, i 8bth a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan 5r,8z rtf9 feiomnwc/y,ie4, 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/niwm ci5fzr,4,8 f9ee,o ryt 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 qqr-bg j, +at*length 0.120 m and width 0.600 m with a soap film formed , *qg+ a-brjtqwithin 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?

  An adjustable rectangur9vxbz8;kvd 2lar frame has length 12 cm and width 5 cm, and is built in such a way that one o9x;v82 rbvkzdf 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?