The three common phases of matter are p; onzo 4fzek j/nbe15(av4r0

  Density is

  Substance A has a density r 6j pb60iifj7of $3.0 \; g/cm^{3}$ 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 ar *xf5pnw z 67myjgx2+ unit of pressure?

  Consider three drinking glasse j lzmu:j xpb6i/g44gk 726ogss. All three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wi /mj:g6 6 47pukb iosg4lg2zjxder 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 bet,n3w0 kusxl og) n-d.yween the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure at the ;ccuxnvt4(/ fbotcx/ut nf c(4;vtom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If o )gcp1vn1zl4 you dive to 2.0 m beneath the surface, what happens to the absolclo 4 vgp)1n1zute pressure on you?

State Pascal's princke/d ocv -0bhp 0lt,n 4dqie14iple.

State Archimedes' princih3r0 3z4ney3pu7pn)ocj 9zmzple.

  $50 \; cm^{3}$ 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 dei;udl c qmd8+kjf w8.8eper into water of constant density, what happens to the buoyant force on i imkd8f w+;dl uqc8.8jt?

  Salt water has greater density than fresh water. A boat floats in both fresh was- dcyv2y;wfke3s6 3jter and in salt water. Where is the buoyant force grefys vj k32; scwed3-y6ater on the boat?

  Salt water is more dense than fresh water. A ship floatwjq7,c )au,0u 3( /ivv ghpwrks in both fresh water and salt water. Compared to the fresh water, the volume owvhgv/ck rqu3u p07(),jwa , if water displaced in the salt water is

  A steel ball sinks in water 7k o ;kdqxb4umn0a-h6 but floats in a pool of mercury. Where is the buoyant force on the ball g uanq km-hkx 7d60;ob4reater?

  A 10-kg piece of aluminum sits at the bottom of a lake, rigjl2)o9vqnc8fb/go7 zpi8w x8ht next to a 10-kg piece of lead. Which has thv)82gf 8/o9cio8 lbq7wn zpjxe greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bac7 oj8/etyj 56:phu,f zzsb.othtub. If the iron is removed from the wood, what happens to the water leve yc6bu sp.7/ozzjt8fo:he, 5jl in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits on to :g wrb 4iytgn1778yilj97w ovp of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, what78wb:r77njw ytg 9oyvi1 4gil happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is largn9 hvjyadut:ery +.s55aw() mpdu 18uer than at po5nau.hjus ddte+y:819ay rwvpmu 5 ()int A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe:a8pjv-cv1zxkio5 tn b dw10ef jr14 8. If the pipe widens to twice its original radiuswr0 -j 5tkz1va11nefd8:ojcvpbxi 84 , what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pip*i+r5w.riub7: jgos1 yyd5 9qqdfo /p1p +gn we narrows to half its original radiuww+5fqodoq1y5bg+ i *dj.ri9 nur1 /py :7pgss, what is the flow speed in the narrower section?

State Bernoulli's princiq 0etg7 fiipn 9fr2121a9tt vx -fm7alple.

  Which one of the following is associated with the law of cvgki +ui4xkm2dy- *n 7onservation of energy in f-* iu y7vk4g dn+kx2miluids?

  As the speed of a moving flui tiy vphi1/:*sd increases, the pressure in the fluid

  Water flows through a pipe. Thn01y ,qgo tac4e diameter of the pipe at point B is larger than at point A. Where is the water pressnty0oc q1g, 4aure greatest?

  When you blow some air above a paper strip, the paper rises. T ) cg 9 yijsfoc(xyt1g+ef84:ghis is because

  A sky diver falls through the air at terminalb25lv -)1wzltxejfr. :p-xpf velocity. The force of air resistance on hit5 lfxp- e j:-. zpwxbf2lv1r)m is

  Two Styrofoam balls, of radii R and 2jw02*-cxay 7ff n 4hzxvyqx+,R, are released simultaneously from a tall tower. 4f +-xv,0 cf7jh2wnxa *xqz yyWhich will reach the ground first?

  When a small spherical rock of ra: 4ccc dci (fwwt10nl(dius r falls through water, it experiences a drag fclt40 w1(dcfcn (wi:corce $F=arv$, 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 d+lhel3vs, 1wuid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, whil,d3eshw1v l+ch would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twi-)/w7 bp+modw1;g krtcb9wo bce the diameter of pipe A. Water undergoes v b1oo-7m /c;9ww+ktgbd)w bpriscous 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 rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as long as pipf ;t7u7 t .9if:vn(llk4zdph,atf v) qe 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 pipt , v4v ikl.fu)d:7a;7qz (ntft 9lhfpe A?

  When soup gets cold, it o99*rsdh19tv2a jc h zvd w:gf/ften tastes greasy. This "greasy" taste seems to be associated with oil spreading oa9v 9jg hzhv wtsfc1r*/2d:d9ut all over the surface of the soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diame;qc koe f4+4sdter d is placed in water, the water rises to a height h. If the diameter were half as great, hqcedfo44sk+ ;ow high would the water rise?

  Certain insects, such as the water bug, are sufficien jw rp4bt7rv 4id53x8wtly lightweight that they can run on top of water without breaking the surface tevx43wwir j r74ptb85dnsion. 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, are sufficiently ligh0vttv h9jr8tsi0e l8 7tweight 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 f 7ijvetr0 v0 8h9slt8torce on the feet of bug B?

  A plastic block of dimensions 2x)v2: l o zm5sljni,hj dq60lglzj(6 -.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What iqjz6ml 0l)vsol, 5j hng2j6 i(lzd:-x s its density?

  A liquid has a specific gravity of 0.357. What6qw4n:n b, yo;tirze( is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is the ma(zrvu2 bt.r5o ximum pressure it can exert on a horizonta 2zvr5 bro.u(tl surface?

  A person weighing 900 N is se qx:eyas kyfx4y1y rv(:4u(-tanding on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine wqt;:h fgpv y-u,g2rqayln () 1ithstand at a depth of 120.0 m in the oc- 1gy :u)2p nhl, q(rtfgq;vyaean?

  A circular window of 30 cm diameter in a submarine can withstand m wow.jj+f*98hykr (i a maximum forcehyrm i+ofwk j(.9j*w8 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 absolks z5hyjxoo(xa 6 +d50ute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surfac mm;m1 oimxn)-e of sea? (The density of seawater i nmi1 xmm)o-m;s $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below theqctz :1vy5eiz /v bj*9 surface of sea? (The density ofcvi yejv/19q: z*z bt5 seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulicfeft9ypyfbip:h: 0 g 9t260wbu7w6y g machine. The small piston has area 2ffy fe iyyw7bhpp0:9ug b6:t9g6w0t $2.0 \; cm^{2}$. 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 6xk c*2qn pa4mc+e/p 5vbww)lradius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston ipepc*2wm5 +cwlx a4/6q)nkvb n 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 diaqe5 57br rg,m9be- rqxmeter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston te9mr5r7- qqx,5bb erg o accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and 3io6 kznv))eyits large piston has a diameter of 40 cm. The lift raises a load of 15v)ey36)z o nki,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 a lh-,.e(g.mtjds* nbf ig l-8ond 30 N in water. What is the buoyant force of the wat 8-n.tl lgio,(* msdb ejg-hf.er?

  An object has a volume of,bgkf,n*sr4,xs2po i+ tvfcuglt+9; $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of soi) s4tc*5 tr l+faoec/lid iron is supported by a string while submerged in water. What is the tension in the string? (The spr elci4)ao*s5cf +/t tecific gravity of iron is 7.86.)

  If the density of gold: tp:;igqg*pv 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 steel sub4s + ud.fxaj ;*dg1wbbmarine (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 a 2, tuuo q19()lxjzhg6.86 N when it is immersed in water. What is xuh( zo2lau1), tgjq9 the specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. N0 sk7 t)qnx(:bzqqax:ow a 20-g piece of copper (specific gravity = 8.9) is suspended from a xb(z ta)kq7 qq0xs n::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 an3scv c+ipo7o2yo 53mxt s-/djd 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 diad q*3abm),i pameter 2.0 cm will just barely float in water. What is its )ma, dqaib*3pmass?

  A rectangular box of negligible mass measure7.mgu8tw1 fz 6q;)rmhni- vv-sy7cy fs 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loa-.-zc) 17v;m qt78wumgyiffr 6y n shvded 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. The 76)co 8bsi3u rg-vk )dvajrx8weight of the displaced water is 2000 N. What is the cd -ub738kvoi6x) r)gjvas8r weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the a,mtp (dycw7.ne2n7 b surface. What is the objec.7td 7 w (cybnpa,en2mt's density?

  A 200-N object floats with three-f 9rmx, 4ejrd.x8kg6;e e/dkt-drl q(j ourths of its volume beneath the surface of the water. What is the buoyant force on the ob exr(e jrr9gq d.;dke, tj68k/x4dlm-ject?

  A polar bear of mass 200 kg stands on an b:u :p wtu(b;vj:lkf, ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater uk :w,v u:pbjlt:b(;fof specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of w, rsp s1r.cha; :6*uyv(eztu diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s.6is bhuv+h/ 8i:(dkdx*rc pz. There is a 2.0 cm diameter k vrd6hchi.s: (uz xbipd/8*+restriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a prt0b9d*k okr iek*:(keessure 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 su. g4ge1 b bg9l jrot.t40qixp6pply a drinking fountain with 300 kP ..p9lg 4jg41rq6btotxbge i0a, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water st t;f rgqjr.hq07i 5o*lorage tank that holds water at a depth of 15 m. At what rate will water flow out of the h qjt.o7li*r ;g 0h5rqfole?

  Water flows through a horizontal pipe of/:40)g,ega is uq wsep 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 oasjge g/o/s g*yj+vie1 47l(m)o 8asmf 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 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 funmsa je 8yel 1(jgoa7)v4gsog /s*i+/m nel.

  Suppose that the build-up of fatty tissue on the wall of an artery decreased thmgb+m/* 2r /w7psvpcy y9nr;le radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant p v+c/ b;nsry7m ym2gpw9/lr *blood flow?

  Two narrow tubes are placed in a pan of wate8e s2 ypqw(v /vin0mk4r. Tube A has twice the diameter of tube B. If water ris/nk2v 0m y8qe(ispv 4wes 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high ee oyxa+p -lgcl *7f3.will water rise in a capillary tube of diamete lxa+7fc .oeel3*ypg -r 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capilladwu) 7vk2ypi;3 pp,i ary tube with a diamep pu;iv2 pi)a7kdw3 y,ter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in thk0,dje xsd8:yk w; -aje 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 some soap. What happens to the height kysjk 0de 8; x-:wj,adof the liquid column in the tube?

  Consider a rectangularv9fg ; v0usbr4 frame 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 isb v;4vf9s0u gr 0.0260 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular framew/g,iud 8 m5-j) wpeeg 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 thgmpj ge-,dw85 u)w /iee 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?