The three common phases of matte(lc4lmjgr 75 jr are

  Density is

  Substance A has a densith8l z j )l*p1er:ptss.y 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 isz;ovjj2g)aewwp,0 ph1k.* c j not a unit of pressure?

  Consider three drinking glasses. All three have the same are s5ifqkr 5s8b*b4dc8 /y5irw ka 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* s5bdqr5rci8 i4fkk/w 8s y5b 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 prek-jwbefcfqap9cukpq0x882 6oo1n5 ki0z1j /ssures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the ab ;ko0id.9tn g 3yfxpm;solute pressure at the ;ko.3dfg ti9xy m0 ;npbottom of a pool?

  You are originally 1.0 m beney7 ,3*ajrwkvk ath the surface of a pool. If you dive to 2.0 m beneat 7,3ryk* jkawvh the surface, what happens to the absolute pressure on you?

State Pascal's princs83tj(8 )exak:tipho iple.

State Archimedes' princn+mhn a;oix - /ya+ qn)3)rrzkiple.

  $50 \; cm^{3}$ 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 carmn+ 9rwo5) nonstant density, what happens to the o m59rnanw+r)buoyant force on it?

  Salt water has greater density than fresh water. A boat floats in both fresh tbklla1md-6fak56pjuh +1b h* k1ka9 water and in salt water. Where idkfb91a 1p5klhak- tmb 6 6hjka+u* 1ls the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in bot j:,xihbma,n6h fresh water and salt water. Compared to the fresh water, the volume of water displaced in the ,am ,hb xn6:ijsalt water is

  A steel ball sinks in wat3lqf, -+h)iv +jkm1geeval* ier but floats in a pool of mercury. Where is the buoyant force lv3mjveig i)e+qfh,1kl-+ a*on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right wn+: c bd59ovvs 7cbtek7w5 z-next to a 10-kg piece of lead. Which has the greater:-n c kzwebv79cd b vsot+w557 buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If the i3o3( iuadyxyng1 eyut (wd )-/tue1 l(ron is removed from the wood, what happens to the water level in theli1ud du(x( -eg a t/3wny3yto1)e u(y tub?

  A piece of wood is floating in a bathtub. A second piecsbovq9bbkz,v1 0 k*d0e of wood sits on top of the first piece, and do kvd,kbb1 0s*v09zqobes not touch the water. If the top piece is taken off and placed in the water, what happens to the water level in the tub?

  Water flows through ag1)zi co5fwx t;mh i88 pipe. The diameter of the pipe at point B is larger than at point A. Where is8ti z x m)8o5ich;1wfg the speed of the water greater?

  An ideal fluid flows at 12 u-nm g tykm1ta4o4aw;.2uj0p m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider secptymngt-2; k4ao a .41mwuu0j tion?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pitj gd d9cq3mf7wf78s2 pe narrows to half its original radius, what is th 23jq7f9dsw8tfd7cmg e flow speed in the narrower section?

State Bernoulli's prhi.6yl g aw;6t ybkq7)inciple.

  Which one of the following is as/9il x;c gp1dysociated with the law of conservation of energy in fluids? y9xclgp/;id1

  As the speed of a moving fluid increase .2. b1t*u hhq;-ggrrq srw3oas, the pressure in the fluid

  Water flows through a pipe. The diameter of the7q +kk7u hxp g/t:5-bbjvtt(s t ch+(k pipe at point B is larger than at point(5ut/v :kbgt7s(tj hp txk 7hbk-+qc + A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the pa3g2ff/v lvz a t+o3f(02fscf tper rises. This is because

  A sky diver falls through the air at tfw zytwz7;z h6-j8+ti, s ln/jr*/pdlerminal velocity. The force of air resistance on himn l;+z7z-l/ /,j6jst wpt wzdhryf *i8 is

  Two Styrofoam balls, of radii qy2. la nzv()oR and 2R, are released simultaneously from a tall tower. Which will vyn)al z2(qo .reach the ground first?

  When a small spherical;k,vl: q.nmy j rock of radius r falls through water, it experiences a dr;jvqy.,mlk :n ag 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 flux) phvo./:3f2nh1h-nph8 xze s y ,)7eyk tfehid through a narrow pipe? That is, if you made a 10% change in each of the quantitiesk- fxnxoh ,1z p. y8h3): /ntsh2ye)7pvehefh below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B h u smdy-9/sac8i,k8jm :w7uwo6n. l klas twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of tms ucla-9w8: kkdsmu/inj.7o,w8yl 6 he 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 asmrszd 2fdt8e+; q+gpn7uy6l; lj)z z/ long as pipe A. Water undergoes viscous flow in both pipes, suudr; z /+ftzygnl+qpj7dsm l )e;6z82bject 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 "greasy" taste seems on,zk3wq y7n 2oz +n+nto be associated with oil spreading out all over the surface of the soup, instead of staying in little gl,oq z3nkynwoz+n2n7 +obules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the w seq;tm0,pi los2: a)nater rises to a height h. If the diameter 0s)l 2 nm;eati:osp,q were half as great, how high would the water rise?

  Certain insects, such as the water bug, 1xoxpa(ea4n;gh ;kp5are sufficiently lightweight that they can run on top of water without breaking the surface tension. Water bug A ;e5nhxkx4 a1;a( ogpphas 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, are sufficiently lt zgem0u6d47jisx76 q ightweight 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 of buu6xzdq7miste0j7 6 g4g B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm has a mass ofuse-uxacdh0)zwbm 8 xv.rl)1 8), job 30.0 g. What is its densizewh)xj1,r b)mu du.sca )0b xo8l8v-ty?

  A liquid has a specific gravity of 0.thw 4m5z87ztcm n(fop)xlzrtma3j+v 7 w5; m3 357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 ccjirrsi (uyf6yr2 6 jrh,2i 72m x 4.00 cm. What is the maximum presiuhr 2jr2c, r7i(6ij6yryfs2sure it can exert on a horizontal surface?

  A person weighing 900 N is standing on sn;opm b x tv fo3x(m.7 42o0y/dc:adiyvowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must /c;56 :wsqwh 3xrbhqs a submarine withstand at a depth of 120.0 m in the ocean q5c63s;b xwr :shw/hq?

  A circular window of 30 cm diameter in a ;7 afytj ;-j1gr uxxqw +wfbhu j4j290submarine can withstand a maximum force ofgh1f7j x90uj+ q2jujra bx;;wfw-t4y $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge presmp+b.fa1 8s rnsure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m bel3p m/oumqwyya1,93y 8gg2jmf ow the surface of sea? (The d,2mgy8 yuwa3ypmgf o1/3qj9 mensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute p(kj -zyozc wme;uis0 di u5(j3/(.xxwressure at a location 15.0 m below the surface of sea? (Txm 5;z yzjj0s( du.- xik(cu(woi3/ew he density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small pist6u2 c6zvae6k0hcgpl 8,k(fixon of a hydraulic machine. The small piston has 0z(cf6a k2 6lu6k,hpc8vge ixarea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, thei/:ursa94f rno-j4) qb+dir lc (/ejy small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the rrdc) (n9 y+:i44lso r/b/ juifa jq-esmall piston in order to lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to bi(p 4i ,tpad4yua *+zbw2,eqge lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to acwibz, g* +,ed pqa(42yi4uat pcomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large x io s)p8f1swc 3tc39bpiston has a diameter of tbox) cwcf 3is9sp38140 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 air and 30 N in l cy-ehz:nhvem95 b 6.water. What is the buoyant forch b.e5-9:emvhl nc y6ze of the water?

  An object has a volume ofrnld8q2u5 tk 0(pm:9fwyf t ac+54avc $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder oy:85 jlplxk awm .twf)l8wwfc4 c,8 b3f solid iron is supported by a string while submerged in wat 58cy:pm8)4.twlwwkacljf,3 w fxb8 ler. What is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold isg*):v kdnxyv7;+l; s vxyc2mk m-u+p z $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel susf,-3ifs, ti hp1.si 6r duvh*bmarine (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 it is immersed in wa d (s;o6k mansz6ncytgnse:u;,)a 5;n ter. What is the specific gravity of the objen n 6une;gs;a:k;az s,6tom(c) 5snydct?

  A container of water is placed on a scale, and the scale reads6 v(wgz- (ygtr 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered intvyr-6(gw (z gto 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 anmys l9/8k9oimw jf:p0d 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 fw9wa r abg 23ur0p5z/:r+in,s8 lbe: hrmvjn8loat in water. What is wzrjmb/b upan ,:03+:n 8 wrrs 28l5rhiva9eg its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wimlk)1 p/cs:gh de, and 0.50 m high. Ho ksp/m1 lg)ch:w many kilograms of mass 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 with half its volume beneath the surface of the water. T go,eyqf ;ebl.17 miwfbp1nz0f e. 0x tl,)az)he weight of the displaced water is 2000 N. What is the weight o 0yfne10.;z g,1b ,o .ix)ffmzl ebq)plea7t wf the object?

  A solid object floats in water with three-fourths of its volume beneath ra q9,;0p:byapbv1cathe surface. a,r9b; :pa1aqcp0v by What is the object's density?

  A 200-N object floats with three-fourths of its volume beneath the surfa xs 8aile1/3yjce of the waterej1 8/liyxa 3s. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. Whatqm83 rsti q n1hzc9p31 is the minimum area of the floe that will just support the bear in saltwater of specific gravihnq1i9z 1p rtm3qsc38ty 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe o6 p.pcrm 1bbjrshi d39sn2;acyzc (/0p k8,tt f diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at mo2u27dm wqayqk04p32v (z rn2lguw, 1.0 m/s. There is a 2.0 cm diameter restrictizo(4vwkdya7qgmn, 3u 0 wul2pm r222 qon in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure eug . ,d6c5jfinq2el.h5 4j raof $3.0 \times 10^4 \; N/m^2$. 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 with 30o9ga5 t-ov.s1 d fev2k0 kPa, if vso5oa .9 g-edf12v tkthe fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank than o +nh 4rwniwu4i)/8et holds water at a depth of 15 m. At what rate will n i4/hu8ne+ 4n)wwi rowater flow out of the hole?

  Water flows through a horizontal tvxx:v8 e yh*2,urm,q 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 visc+o dps/0djw ; ap3ib3bosity of 0.20 Pa-s. How long would it take to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0/;03+pdo wbs3pad ij b 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 artery decreased sq;9lw9 ,mdj bthe rad9 w;bs9,dlj mqius 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 plac:dff/4 srtd) - ;yvldse3m6tg nsj.* sed in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm isdteyrt 4 l6mf)- s;s dn*j3v d.fg/:sn tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high ql7 +oxy 5(x mi( f)zezcdc+b-will water rise in a capillary tubi yxlz dce(-q)(cfb75xm ++z oe of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass ch3.8 d1s5we*ymgf v ijapillary tube with jfd v5 e1i*.yh38mwsg a diameter of
0.50 mm?

  A narrow tube is placed vertically in ;8r1zq) v o( )txc.mf5eubx tla 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 vqc .) )l;me5z( t8v fbx1ortxualue by the addition of some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame7ss2 w*yu ijh-rv:pevm49 n s1 of length 0.120 m and width 0.600 m with a soap film forme 4p:in2svr9 jm7ye wv u-s1*hsd 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?

  An adjustable rectangular fram2 xle kgq0r-y1e3en;1 dhc*jy e 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 to movgje-*k1xed1;y n2ce q0 y3hlre the adjustable long side so that the frame is 12 cm square?