The three common phasecciq /tb8 9s9xte15res of matter are

  Density is

  Substance A has a density of , 3yufeow2y-1vape)y9nm 6dc $3.0 \; g/cm^{3}$ 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 oh;cdj a7:o f2vlzm*4 qf pressure?

  Consider three drinking glayy ;tma1 m6fvp8wa(ff:ey4) 3qct+btsses. 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 wider at the top than at the bottom, and so holds more water than A. Glas)8vc fm4fbmt+ ( :y61 yya aqe3;ttwpfs 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 insid, ypani* r,hi1c.d :cfe and outside a tire called?

  When atmospheric pressure changes, what happens to the abnza* ( a/9m7n-f4hl gzokpn/ysolute pressure at the okgznlm9a- nf/n7ypz a*(4/ hbottom of a pool?

  You are originally 1.0 m beneath the surface of a pool.rk65ilg2k0- yxbf9e f If you dive to 2.0 m beneath the surf-i29b kylf5 krgxf e06ace, what happens to the absolute pressure on you?

State Pascal's principlv2. *7ybm. ; ysjsoa1nsagf7 pe.

State Archimedes' principle.d3) guoar) *e sb,u-gt

  $50 \; cm^{3}$ 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 happensc2:azg:f dg :cwixbcf5 01 xo;wt- n)x to the:b5x2gonc : : wcd01i)c faxzwgtfx-; buoyant force on it?

  Salt water has greater densitn; awapn3l:*fzq2bw . *b3yuxy than fresh water. A boat floats in both fresh water and in salt water.za*;w2p*lnau :3xb bn3qf yw. Where is the buoyant force greater on the boat?

  Salt water is more dense mlo*ia 2gvfq-:1- jxc than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the saltxi2oj l:c qfm--g*av1 water is

  A steel ball sinks in water but floats in y87; if c)im)jrg vjskzn x;+(a pool of mercury. Where is the buoyant fv+mi czn;iksf r)j) y;(7xjg 8orce on the ball greater?

  A 10-kg piece of aluminum m6nm4ns6* t ng+ dqjj+sits at the bottom of a lake, right next to a 10-kg piece of lead. Which jmmnndsjt+*66 q4gn+ has the greater buoyant force on it?

  A piece of iron rests on top of a pie*sx k dtc0 sc3lx0svzl1p;hm7: ;jueik ps.82 ce of wood floating in a bathtub. If the iron is removed from the wood, what happens to s:cms;2.sl z01xluip t7v* c08h pdkesjxk3;the water level in the tub?

  A piece of wood is floating in a bathtub. wysb*dj t3i*,y 5/;vcno qj/ w A second piece of wood sits on top of the first piece, and doec s/o3jbvy;y*j*wti qn, dw5 /s 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 a pipe. The diameter of the pipe at point B is lf8xjq7u3b.r) mtoz) xarger than at point A. Where is the speed of )r tbzofxxj)m73. q8uthe water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twic ra*7k/mv4k vo s +dl+am+sl*ye v*a l*k +orv /lmdsyks+m4a+7its original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pte uh m8(uksw,74 ma6-yqjr,f4s7+ wlppem:jipe. If the pipe narrows to half its original radius, what is the flo f7p8 yru4eml,+a s-wmmq,t:kj(u h sw76e4pjw speed in the narrower section?

State Bernoulli's principm sj6vnn0 w8x)le.

  Which one of the following is associated with the law ykm p3ih1+)q8pso pftt9, g*s49bvd,sd i-vgof conservation of energy in fluidspd*s 1tdf ,g,qk p+98pgbyt34v hi)mviss o-9?

  As the speed of a movingrp t*cruv2 v )i9:vgx- fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipqr;h 2rll)bll y ; yg;y8yn6d4e at point B is larger than at point A. Whereny;l yyrbqlh)gy rl8l2d;4;6 is the water pressure greatest?

  When you blow some air above a paper sr uav:5,om820wkn rdl b/nt: itrip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force(y*c s+y0,xu 8md63gmx v2 lswib 6kas of air resistance on hv*ldb, +gwsuix s3s8062 kyy(m xacm6im is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from aqi j .g4++pvsy tall tower. Which will rea j+ygvp.q+ s4ich the ground first?

  When a small spherical rock of radius r falls through water, it experien8hj .-zxnh+k cz kvw0-3dy1 oeces a dry 3nkz-.0 wk8he+ hcx1 zdv-joag 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 fluid through a narrow pipe? Tha:jslm395 n5uh n*jl rst is, if you made a 10%*h:u9l5slsn r5 jjn3m change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes e:.wxg vfy:zzz,sbf*1,b 1zunnqj3d ) xa3v/are the same length, but pipe B has twice the diameter of pipe A. Water unda3u1 wgz e1q3f/b :: z*),xnjsbvz v.xdnf,z yergoes 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 rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as long as pipe(nop5u7n 1q 7vljsuf 5 A. Water undergoes viscous flow in both pipes, subject to the same pressure difvno1 s (pujq57 75lufnference 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 "grent0qik9 o;0w5 b 6,ycpfker.r asy" taste seems to be associated with oil spreading out 00rbfn.k ,yp ki5e;9 cwq6tro 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 diameter d is placed in wat; ;7 if e;phopn,anuh8er, the water rises to a height h. If he8n,pp;u;oaf hi ;7n the diameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, xcdm5n4xh68yk.ln x/p -r be,are 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. What is the weight xb.mx h 8dl/rnpy54,c6 xenk-of bug B?

  Certain insects, such as the water bug, are sufficiently lightweightpxd9, c8a sbieo-.vk8 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 feex9v-ab.,d 8ck 8ei spot. 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 2.00 cm x 3.00 cm x 4.00 cm has a masssef 6y-0fgimn6oeh.r09k - gy6 jvsy4 of 30.0 g. f4-6 yvi0skjhosn -reym9 .0g g6fy 6e What is its density?

  A liquid has a specifio fl0 ci z3gs;y zaogq;y)-s81c gravity of 0.357. What is its density?

  A brick weighs 50.0 N, and mena4is+j ;e5g.w chqo euzzr9 4x*n);bi8 i6yyasures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal surfaceiyzw;n)nes6rb9o xiy+*e g4;45hq. jz cu a8i?

  A person weighing 900 N is standing on snowshoes. E.i0-t:s f pqfkach snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand ap y1m(;c h,x)vii2fint a depth of 120.0 m in the ,c(mhnx f1ivp iy)2i; ocean?

  A circular window of 30 cm diameter in a submarine can kzcr ,5x tli*0o:e8wpwr: fjs +s,l:d withstand a maximum force +:ts*fe8c0dp:wlr,loszw 5i r x:, kj 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 absos/xkq; q;bb4p lute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (The 8il 26mrgx*as ,8hm1ztj n*cudensity of c1j *6lsha i 28gzmnmr,t ux*8seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 z271 dg-f aagum below the surface of sea? (The density of seawategf 7dzga2u1-ar is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The small pis)znilw2do tr1 49ge5iton has ar di 152) 94lwengritozea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, thew:v 1;qy04pyvrnmyu 4 small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. 44y vq1 w;vy:nympr0u 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 cmxia gt quf6*vk+4;6ht1y p/9o 9mmc oe diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter pistooyt g+;q6vup9 o9 1/taximf 46c*hkemn to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 yqedsm,2u ,dfgmi )nl bmp8qeg,:ni 5m-i /:-cm, and its large piston has a diameter of 40 uslendbi,qm,-5p8gmimng:2, -:/ m)dqif yecm. 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 30oeusg ivo3j/5 a 3+r,s N in water. What is the buoyant force+usi5j3rs /vaeo3o , g of the water?

  An object has a volume of nh uamm5qo lfcc88;/6 $4.0 \; m^{3}$ 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 submerged i;xdv:g q ue,yazti /:v(qcm.+th q6x+ n water. What is the tension in the string? (The specific gravity of iro th uxv( +/ zi.,;6mqxq::+evyqgtcdan is 7.86.)

  If the density of gold isujo(v k)ez /f. $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine e8-93s5etpc/hqzfi/ e x qmjpf:s 05 r(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 it8v wecw*ns450cb5u ps in air and 6.86 N when it is immersed in water. What is the specific gravity ofw4s 55vcupbc 8tew 0*n the object?

  A container of water is placed on a scale, and the scalen.ujj 0lj;um56hsi )c reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspenjj0 5mcn);6h ju.lusided 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 mass of 1.0 kg and densitynqo;z.iwg3h y5s*ia 6 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 dlw b josgdoh/+9/0v; niameter 2.0 cm will just barely float in water. W o+0n/vldowshg / 9;bjhat is its mass?

  A rectangular box of negligible mass measures 5.00 dmk 9iylwc zc,-wt -em8lyty6jv2u2xr -1)o m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass cany-2 -ewtx 0d m vl6zyjc 9,-orwmyi8)tk2lc1u 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 beh ydn (/hhi0f0a6dcjq4 k*re(neath the surface of the water. The weight of the displaced water is 2000 N. What is the weight of the object?dhh6 afknjhc0(0iyqd* r(/ e4

  A solid object floatrzlwi 4yxm6bp+ :+ d,ws in water with three-fourths of its volume beneath the surface. What is the object's densitwx4d 6wm++plr ,yiz:by?

  A 200-N object floats with three-fourths ofafu a0;(i3x.pi vvbyp4y- qdv3.u at1 its volume beneath the surface of th(3y0ufx3 i ;4pvavq av.-tpb u.iya1 de water. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm t)p4xhg; y0igsyh*2 b+a 8dpmmfc)hm 5hick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravit mmgmg+ibd xph)p 420 y )ch5a*sfy8h;y 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pilh -kkv7ed 2 kitn;3*qpe of 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. There is a 2.0 cm diamen l,b.5k zrx2 )5ylfskter restriction in the line. What is the velocit5lf) 5 bknks2zy.,rxl y in this restriction?

  Water flows at 12 m/s in a horizontal pipe wi eow a:1e+*ivpaojq.( th 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 supplyphw 2ybtd** :.g.wxt lwn79om a drinking fountain with 300 kwto.p myt.9 :x7wb h gn2dw**lPa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that dyd;x2em rw29ou p (s)holds watedsrm2uwe (y2x ;9)p odr at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal piih5 :smc.imzog6/q (2 tfwd. upe 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 7vdvn-- ng xjc:*c(mait take to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assvv xn n--:dc7m(jgc*aume 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 tnc33 9fp8oo h.k rep /caoue6 (hv-ev9he wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be incre9 (cn oe. 9p3hvarecp3-ek/ 6fouh v8oased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A hasv;c7:h-vzr g kas;4 c*kcc*fhp cx6 2v twice the diameter of tube B. If water rises 24 cm in tube A, how high will it * ck- 2a*chs4zcf7; vvgv:c 6crhp;kxrise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in a neqh m/i-)7zgz sb5x+p0qd tyw( ev0 x(*so/tcapillary tubei-bvty(/5 sdgo0qp(z)/+wq7* x smz0eht n xe of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glassddxdz+h 8 ,h5zk 57zvd capillary tube with a diameter ozz+ 58 k,ddxvd z5h7hdf
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in evkrz )2;. ppfthe tube to 4.0 cm above the level of the pan. The surfack)r z f2p.;vepe 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 fr bg b(e9zgqt zzdextkx .-9)yk+*p9k/ame 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 does the soap film exert on k)kxzx9+ p ykqetbezd. gz9(9 t-b/*gthe 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and is built*gm1 6v15 icyf dy9h1 s7n7w0p kgrafj in such a way that one oar77smkjvpy 15gn0fy*i1c6 g d 1w9fhf 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?