The three common phases of mas5 p1m92 a)ole byani8tter are

  Density is

  Substance A has a density of 3((y v:6c+ wh6zza1f;qdzxmj vlcr3x$3.0 \; g/cm^{3}$ 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 pressure? .q mx5+4li zj-qm89qg b8znhj

  Consider three drinking glasses. All three have the same area1 asm 4ts,fh/kgsv*5q 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 C1kmq, *va/5s4 hsftgs 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 pey/h:o)*snkp aml q+3ressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absxq9 g n x4qsjp*7jhh2d),)io,aec -dsolute pressure at the bot2g hs-oxc ,hjaj7q dx9)speqnd,*)4 itom of a pool?

  You are originally 1a2n4ecs5g i;b5u 0/z(t3gexni2 nonc .0 m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the ani5su xao2 ebnic/ nt2c3( e5g;n04 gzbsolute pressure on you?

State Pascal's principomxe :u+k/lc h6z58uc le.

State Archimedes' principj* -cjoai2) qrp..rd3w c 1zuple.

  $50 \; cm^{3}$ 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 happfn6n-0 oyll 7;jcmn3f ens to the fm n-6;yfnc07 o3l ljnbuoyant force on it?

  Salt water has greater density than fresh water.hh lqh aml5s5q 9lbj)n7w( q.- A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the bo q75q lh-a5.w(jh9sbnqm)hllat?

  Salt water is more dense than fresh water. A ship floats in both frvm pb/24 *j:5;jpdu.y kbkhbkesh water and .bj4bbkdvp5 hmy / u*k:;pj2k salt water. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where wpgu+dji e /y1121z8)z le guxis the buoyant force on the ball greatge/1i+11jz2 l u ux)pwg8dzey er?

  A 10-kg piece of aluminum sits at the bottom of a la4s31li hvfzbhui/2+ e ke, right next to a 10-kg piece of lead. Which has the greater buoyant force o zs3v2i/l4+h1heiub f n it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If the ir6sdheq 0xg .5sr(r* *u3b qmcuon is removed from the wood, what happens to the water level in the qhq sre5cd *0s* m (36.bruugxtub?

  A piece of wood is floating in a bathtub. A second piece of wo;qhtcji(q9;26 xi1ic*ht-g,to xbkvod sits on top of the first piece, and does not touch the water. If the top piece is taken off and plaitcq2xc qj,v;-1*t o hit;i9gx(b6 hkced in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of *jzosxc)4q+ u the pipe at point B is larger than at point A. c s*4xj quo)z+Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horuz c:(a z+srr+izontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider section?r zu+:(ca+rs z

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the cvq3 im qh9)r9pipe narrows to half its original radius, what is the flow speed in t m vqc3)ihr9q9he narrower section?

State Bernoulli's pr/c(u vtt fbcr*;4 8wkxinciple.

  Which one of the following isg6 ef v8asdz+(q:v+ p/-sdzbs associated with the law of conservation of energy in fg+z q/8va (zfb-sp 6vd+:sdseluids?

  As the speed of a moving fluid increases, the pressb dc9(iz ilv0ww3, b8vure in the fluid

  Water flows through a pipe. The diameter of the pipe at pnixuj6505d qfoint B is larger than at puf5dnx05j qi6 oint A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the pmi7,*g.. ao6vvly 1 tr5bdmout2u5 zjaper rises. This is because

  A sky diver falls through the air at terminal velocity. The4jo/d9xwbqu4 3y,z epjm2f0 g force of air resistance on him ymf e2p9wx0bj/zg4,do q3ju4 is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a tjz n8c*q qa41:mq(ef rall tower. z8raj: e41n*(q cq fmqWhich will reach the ground first?

  When a small sphericg8q9wq84nw qxg + b6v er/xyt:al rock of radius r falls through water, it experiences a drag force q9rwgqw4:x 8+n ty8 e6/bgxqv$F=arv$, 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 t8jr3lbw0 sa)t effect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change)bjsrlt08 a w3 in the flow rate?

  Two horizontal pipes are the same length, but pipe B has r/4w* brz53 cqubs muxrd.xuvj)20t 6 twice the diameter of 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 A is Q, what is the fxx z/d2b0 jmq6v3s* .r)ucu5 ubt w4rrlow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as long as p1em1; )xx 8* si1mt5fvemb .uraj az)wipe A. Water undergoes vaa1 s xu5t1 ie )*.xzr)e m8wfv1j;mbmiscous 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 A?

  When soup gets cold, it often tastes greasy. This "grea.f8cynyxo2p i2q+(n rsy" 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 re22 on ir .pn+qyfx8yc(adily explained in terms of

  When a tube of diameter d soo+ (/uaet6 a: mka -lg):wjkis placed in water, the water rises to a height h. If the diameter were half as great, how hightaku 6)o(m:saj:+-w k/ole ga would the water rise?

  Certain insects, such as the water bug, are sufficiently light j/3htefl 6r:k;/ yzppweight that they can run on top of water without breaking the surface tension. Water bug A has weight W. Wa/ptrj:yl/z3h;kp ef6ter 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, are sufficientllono22e :l9gur ho.)e y 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 upneelo. huo9g:lor22) ward 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 of bug B?

  A plastic block of dimensions 2.jiibpcsdqi )b. c +xnmq:03 *100 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What1+)*mcinp0 b3 :qbiqdicxsj. is its density?

  A liquid has a specific g6.aopl :mq( l3y5trkw ravity of 0.357. What is its density?

  A brick weighs 50.0 N, anjbo b y2vo.oie a2bmm:-5q9 2od measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on aebbmi9-o 2 omv22.5oq:a bjyo horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has area :p4:hnfijq2ib 0h it* $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must on57gnd 90k:fq v w36) zwqwwya submarine withstand at a depth of 120.0 m in the ocean 7wf:dvn9yqo0 qkgw5wn 6w)z3?

  A circular window of 30 cm diameter in a submarine can withan*zkz; b2.t8enez n:c*c* oc stand a maximum force o *ce anoz*neb zz2nc.;ktc*:8f $5.20 \times 10^{5} \; N$. 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 pf.a g+p7rv;s bs /sirdp dmt72e; mo2)ressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sb s(6*0jeop xs fd3j:j(,y dyeea? (The density of seaway:s,0(eo bjj(e3yd sjpd*fx 6ter is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a loi.ekanv en8;h jh i;1,cation 15.0 m below the surface of sea? (The densi1khe i;.e8n;,n jiahvty 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 smbb 6du:arcq *lr04 fg.dogr77bf:b8g all pisto 8:d:lq. bfgd60o aurgr7rbb*74cbgf 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 radiu,wtyi zq :xl*exmxu-3s0j17 r 2m)s fys 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 weig*0 eymx:1jqulxs m-rzy37wit2f) x,s hing 20,000 N on the large piston?

  A 13,000 N vehicle is thcb4;gvs b 7/fdv-0c no be lifted by a 25 cm diameter hydraulic piston. What force nvd;0cb gf/sv-7 bhnc4eeds to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its laryng dl-q:*hg6- kclb1 ge piston has a didg*lqh6-ycnk l-:g b1ameter 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 ol uprqn+phu7h+ /gz 1 03v6be40 N in air and 30 N in water. What is the buoyant force of the watervohl+3p1uu/b h7+z06 pergnq?

  An object has a volume o82xao*e:k us9 ztz m)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 string1yeg9w lzd* it-kzk11 while submerged in water. What is the tension in the string? (The spz-z9 l*111 tgkkwye idecific gravity of iron is 7.86.)

  If the density of golq7 a.ks(i: pfud is $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a stee6m-tl.7o s6 vfau 6j:jqtdk 9ml submarine (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 and 6.86 N when *v);k:gtp+v 6ti pjt tit is immersed in water. What is the specific gravity v)tp:* vi gpttj6t;+ kof the object?

  A container of water is plac ub*w/o(3fohled on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspendel bwo(ou3h*/f d 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 92nm6mvw.;w;2 p )uir e yttkzmass 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 12 cm and diameter 2.0 cm will just barely float i )1zx3g51o dbstsf0g fn water. z1153f0b gg xsfotd)sWhat is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 5 wzc/9j2 wswrv26 6sg/iwpb (h*hvf lm high. How many kilograms of mass can be loaded onto the box before iw(b icvl/v sg5/62 j6hww*r z2fphs9wt 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 surfac.zcv3dk0 i6 dze of the water. The weight of the displaced water i 3vz0 k.d6cidzs 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volum*mwfo l4;ieenjo3q34tms 7a (e beneath the surfa43 3;telswim7enq moo4f (j*ace. What is the object's density?

  A 200-N object floats with three-fourths of its volume beneath thk ek7st ,fv16v0)pdw-2lz pafe surface of the w,vwtp12fp - l eza6k7fvs d)k0ater. What is the buoyant force on the object?

  A polar bear of mass 200 kg st)c-l+y d9q :j:pxtyw v2u/lx6t q,nquands on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravituttyq v:,n- j/x6) p l9q:yd+cw2 ulxqy of ice is 0.98.

  Liquid flows throughm+lhs0*q +iv l6 :veim a pipe of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diam 9+wh, hiud1)dc/csj weter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocityw h9w+)1dcjuih s/d, c in this restriction?

  Water flows at 12 m/s in a horizontal pipel jzcfbn0:+ xz1i0v7j 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 fo;rww p x(,x0dmr a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the m;w(rxw0d p ,xpump?

  A hole of radius 1.0 mm occurs in the bottom of a wa4o4vrn: f7f;2u( wl9+fyi 7sau eprffter storage tank that holds water at a depth of 15 m. At what rafw7u:vuylp+; a9ffr7f esi 4orf ( 24nte will water flow out of the hole?

  Water flows through a horw, ye8nltr8htm ifa,+j1z c7l3ah i 6/izontal 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 take to po rxocf4fu7dn. )v*z8 our 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assume the surfavo7dxnf8o fzc. r4*)u ce 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- *rx0pcql/2py1g 1nqix*w x(t i84qda up of fatty tissue on the wall of an artery decreased the radius by 10%. By lctip* 0 (xqx82x1wq/ *iydapr1n4q ghow 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 has (6 -hlm5dpo z2 9-juz oxue:rotwice the diameter of tube B. If water rises 2 zl5(j2-zrop:hox euuo9d6-m4 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How)o5ie(po a pjt 7.5.gngfff 8w high will water rise in a capillary tube of diamet.5o5fp8 iwpfg j nt.o7e gf(a)er 1.2 mm?

  232

  To what height would water at 0 degree Ce (qsm(wf lmo((lsius rise in a glass capillary tube with a diameter(s(mo ( l(qmwf of
0.50 mm?

  A narrow tube is placed vertically in a pan of 0;s*mqya ui;vwater, 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 addit *u0s; ay;qmivion of some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frama4/0 uxg t 86i,yk -ledggvv9tqg,y4ge 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 doeeuv vd8a,tkygqx,y 94g0 -gli g6g/ t4s the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 10(nkknulj sgv(1)* :ybo orr62 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 to move the adjustable long*6rvkn:)lb 1 rgoyn( (u ojs0k side so that the frame is 12 cm square?