The three common pha. kcal1qyxkf 9b.3pga, nfr7:ses of matter are

  Density is

  Substance A has a densi) 0 5y7mqdutpxty 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 is xi/b ;ysb (nu;not a unit of pressure?

  Consider three drinking glasses. All thr5 ) eljq6 z+t1dku3lytee have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Gla3y6u) z5lqt1dj te+lkss 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 outside a 9o2impm p;fv :tire called?

  When atmospheric pressure changes, what happens to the absolute pressure af h2gd4o1lv0pke p5 o2t the botto0dglpo1p24 fh v2e5k om of a pool?

  You are originally 1.0 m beneath the surface of a pool. If yjb hji5w 82i-zou dive to 2.0 m beneath t ij8 5z-2jwbhihe surface, what happens to the absolute pressure on you?

State Pascal's princip3s+v 4jysjjt qo,3 uo+le.

State Archimedes' principle9 h27xm6dxw( /o wltznt7q dn-.

  $50 \; cm^{3}$ 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 constal,unfsj23 g,r nt density, what happens to the buoyant force onl,,snj 23g fru it?

  Salt water has greater density than fresh water. A boat floats in both fresh 4x-yfe1gv f *awater and in salt water. Where is t* fv 14yeaxfg-he buoyant force greater on the boat?

  Salt water is more dense than fre1a.xpus yk*,e*v u+bpsh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of w*+*kyu1 u.,xbpsev ap ater displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where is the bumpqp i36vx4pk n +mf5/oya5p /fv634iqm p mkpxn+nt force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg ud+ nky 2msg/c.bi*b vy*ugtl2lc:--piece of lead. gc svk-l.mtu2y-i/bcg b ynlu +2d*:*Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood lfvx +tz-*2defloating in a bathtub. If the iron is removed from the wood, what happens to the water level in the t exdfvt+*l2-z ub?

  A piece of wood is floating in a bathtub. A second piece of wood sitsyrpb( pc3z*;/ l ncpx*+zbi( c on top of the first piece, and does not touch the water. If the top piece is taken ofb(bz /*yilxc* p;(+ zc3p rnpcf and placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. n(d*/hmnkpp / The diameter of the pipe at point B is larger than at point A. Where is the sp p*pkmhnn( /d/eed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pin.) *i 1 :qlqeg v6ooczpu)kew 1hau*:pe widens to twice its original radius, v)w uqhun 6 *q11*ezal ooi:gc):.p kewhat is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horr82jtajh 4.tk izontal pipe. If the pipe narrows to half its original radius, what is the flow speed in the narrower sej.ta24rj 8t hkction?

State Bernoulli's principle.u-h2f;d kscu8sxr7- 1ul/e th

  Which one of the following is associated with the law zd zj m70ujnh4x3g3.v7 as2jgof conservation of energy in fluids?m2x7jza 4js 3j z.un30h7d ggv

  As the speed of a mov4h nyq:u.rb1 zing fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at a6e,qq , pmid,1dksn/ point B is larger than at point A. Where is the water pressk1d qm6/,e, siqda n,pure greatest?

  When you blow some air above a paper strip, the paper rises. This is becassyg+nk rzl4j-ni6;6c v5(l fuse

  A sky diver falls through the air at terminal velocity. The force ofrms 4cj)ubcwg./u/ f t,6qjmy /.1e(o h:htuo air resistanhyt/cqf1..)er 4:6(h/g,m oj jbsut/m ucuowce on him is

  Two Styrofoam balls, of radii R and 2R, are *2 b6b4uugy kg/w eyeg:87 hbj*i-zaireleased simultaneously from a tall tower. Which will reach the ground first?/k ab8gb*iu6gubjieyeh: -2* z 4gwy7

  When a small spherical rock of radius r falls through water, it experm . ) ,cdrap;j3iqs4o,b0mlediences a drag force m, 4abqjm,;p)rsdd0 lo.cie3 $F=arv$, 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 effectf48(v f3crhpt on the flow of fluid through a narrow pipe? That is, if you made a 10% changp fr 43(hctv8fe in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the :-jwwh:7m2z ,ufxn vdpb6v 6dsame length, but pipe B has 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 flow rat hdmvn:uw6b-p:zf,dj6w 7 v2xe in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice y66fhmf2+x9sp 5 *px;zfct oras long as pipe A. Water undergoes viscous flow in botho2m+sf*6f f hxc;zy6px t p5r9 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 tastesk7 yx.urm+2/ ip9l6oaecan *0m rd4 nw greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in littln+y. /pd6k 7ra*exn4c0i2a m9rolumwe globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water rises to a heighq y.8;: shjgfqzo a8(qqks5t2t h. If the diameter were half as great, how high would the w( qth8; 85qkao2.syf q: zqgsjater rise?

  Certain insects, such as the water bug, a dew fu dk5x2bfr2;t)(fr8zf+ud ;)hsre sufficiently 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 as big as bug A, in all dimensions. That is, bug B is twice as long, twice as wide, etc. Whaf)fwfs2b;k rxdt2efh 8d5u)z+;(du rt is the weight of bug B?

  Certain insects, such as the water bug, are sufficientd 3/u)w tp2fptly 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 odwp /3 2)tpuftn the feet of bug B?

  A plastic block of dimensions 2.00 cw lf0j (e8rm6.zg7 s*py x.jlzm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its dyz l f(.6wz8m7.se0 p gjrjx*lensity?

  A liquid has a specific gravity of b w,yhb i6.qek3lht5sa w t7g/av6z;uc ;l/j00.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. Wha dbyzzbo23h(ru7c2i.t is the maximum pressureyr(boh u.bd27cizz 23 it can exert on a horizontal surface?

  A person weighing 900 N is standing on snoo p n3ypjd8 tb,nj6(n,wshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine witgw loy)z -j(fs sej,44hstand at a depth of 120.0 m in the ocean?( ws fej)z -g4jslo4y,

  A circular window of 30 cm diameter in a submarine can wie5.; (lp ny k.xoe5kauthstand a maximum force ofe5p oknk(.yexl.u;5 a $5.20 \times 10^{5} \; N$. 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 abwyx/qsh520b6j9 kzmj solute pressure is 300 kPa?

  What is the gauge pressure at a location 15iwkd *wi h y/w+uq* ,;js4s6dm.0 m below the surface of sea? (The density of seaqw4k,hd mwd w /+*u*;iijss6y water is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 1: ;0eg+3 e5oliqnz p4pqyl+qj5.0 m below the surface of sea? (The densi ;pq3llep y54ngqo+ z+q:0jei ty 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 small pz1 ed1v;4bjff i,2t g-+qmo bmiston has areaf1dem mo b 1qzgf+4jt2v,i-b; $2.0 \; cm^{2}$. 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 b(1 :46 b q,a6f uhh7+9juf) v(gxpjtxmuyceo of 5.0 cm and the large piston h+ ,h7 6mjv fgpqbaex( cfyho6:uuujbt x(149 )as 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 the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic l-m7x. konsrgcn 0e2 4,rga c1piston. What force needs to be applied to a 5.0 cm diameter p7mg - o gl r4nc2kxe.ncr,a01siston to accomplish this?

  The small piston of a hydraulic lift has atv )ofvv xb.u1q;5 vsu9a pv89 diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The utuv9a8 vvv)f5; po.1bsx9v q 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 water. What is the buoyant f uu-t y8cmxc(of( 2cc(orce of the water? t(82c(-cumuy xfocc(

  An object has a volume of d;aagjx,wsv: 1mmk -d/x*0xm$4.0 \; m^{3}$ 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 while subdri*o/ewzi./ merged in water. What is the tension in the string? (The s*wo.i/ezd/ i rpecific gravity of iron is 7.86.)

  If the density of gold is p4) olmr;cd.emmp4/ s$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (density = 0exi c72e ;zhb$7.8 \times 10^3 \; kg/m^{3}$) 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 4ygs 91z j. )jtztklqht)7(clin water. What is the specific gravity g9kc4zzj1tt.lyjh l)(t s)7 qof the object?

  A container of water is placed on a scale, and the scale reads 120 i td n9h055uqvode jaxo;2.4ug. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the water, not toou4in ;j hxqv .d9d5ue 5ta2o0uching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1.0 j9 -*b1 9ex ,xr alp tfqi;frb4ym;f+ wf;8dnbkg 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 // e.ey)eb 7q ospkw1b2.0 cm will just barely float in water. What is its se/eoyp/bw7. b )k1 eqmass?

  A rectangular box of negligible mass measures 5.0 b92:gfbp*uj ji9i:y wkr;x + fm long, 1.0 m wide, and 0.50 m high. How many kilograms of mab y b ;wgix*jpf:j u9rkf9+:i2ss 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 witi.2ns,m hew+f/nf:01qg yfe pf 1(usih half its volume beneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight of the objec(q1i01h 2i,nw.uffes yf+nm /sp ge: ft?

  A solid object floatz1al kw/6l (hch0 )dbgs in water with three-fourths of its volume beneath the surface. What lga1)whc( bh6kl0d/z is the object's density?

  A 200-N object floats with three-fourths of itstf4mi5m6 f .vl volume beneath the surface of the water. What is the buoyani.5t ffml6mv 4t force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm tix5, 03eowgmqv0o*g v hick. What is the minimum area of the floe that will just support the bear in saltwaw,5 eio g 0xvqog*0m3vter of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diametrwo9tg+ -fr8h er 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe2kasow1 4q xs/ 6pp9tvl *m+nl at 1.0 m/s. There is a 2.0 cm diameter restriction in the liwtl +p s6*am1psqx ovnk42/ 9lne. What is the velocity in this restriction?

  Water flows at 12 m/sdp v3mye3(v/0.rgn3lo zptk d4zg3 m6 in a horizontal 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 to supply a drinl4( 1+ w*ts dhy6smbtfking fountain with 300 kPa, if the fountain is 30.0 m above thefh6y tl4+st w1d*s(mb pump?

  A hole of radius 1.0 mm occurs in the bottom qu8wgx9ku(t. of a water storage tank that holds water at a depth of 15 m. At what rate will water flow out of thegx. ( w9qku8ut hole?

  Water flows through afw6d rsk+9 ,th horizontal 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 c;: wb34ug gn;lev7h.0phipn long would it take 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 of the o 3e;hwnn70p: pb4ilgc;v.gu hil 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 f5l+xbubud+5 b atty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a c+dlu +x55bubbonstant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has tw ,(kgdvqt44ogd+uhp il+.f9 i ice the diameter of tube B. If water rises 24 cm in tube A, how high w4 f4vgu +(iot9gdqkdph+i, .l ill it rise in tube B?

  The surface tension of w7fponity66 ;yater is 0.073 N/m. How high will water rise in a capillary tubyn 6; i7topyf6e of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capiztdkrj 0 l45imbq1igome1*.:llary tube with a diameter 4iqm 1jgtir0e: zl *1m5bd.ko of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the ywc xwgt8 vl9d8/-y 3nwater rises in the tube to 4.0 cm abow8d9v3n8y/ wygxt c- lve the level of the pan. The surface tension in the liquid is lowered to one-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 frame of length 0.120 m and width 0.600 m wiiog1l-e0ql (cth a soap film formed within its confined area. If t li1-(gc 0oqelhe 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 frame*d, rzg8 oap.d 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 move the adjustable long side so that the frame ispodar 8,z .*gd 12 cm square?