The three common phases p1;wrtncz)u+1mxx0dn-yj;e.3t f psof matter are

  Density is

  Substance A has a density o.p i-w9i.rb -+ar nykaf $3.0 \; g/cm^{3}$ 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 yktp,)sg) , twnce e70of pressure?

  Consider three drinking glassi4nje ) mxy3,ues. 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. Glass C is narrower at the top than at the bottom,ie,3nmx )j y4u and so holds less water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressun tnse13r*h -ni2un 5qres inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure at th;8v oczyasd,bi o8/ v/e bottom i vao8 / dc,o;/ybzvs8of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive 1wjj7( 2 gjglnto 2.0 m beneath the surface, what happens to the absolute pressg7gnl j1(jw2jure on you?

State Pascal's principlj p+uk)(f)(e2jm; alffk: jmc l5)he gdvh,r1e.

State Archimedes' princup 9tew(q xgrn2wt 2 fxs/sc+6i8w*v2iple.

  $50 \; cm^{3}$ 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 constp*qca m,nc8 g/ant density, what happens to the buoyant force on qnmc/8agp* ,c it?

  Salt water has greater density than fresh water. A boat floats in both fresh,;2tw8 n4b usx wfosqt;ob,g7 water and in salt water. Where iqo,t;bw2ss7 ,wg8txofb;un 4s the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A st. dpuqu-;:odh(27a ic g 7-tbw4uybk hip floats in both fresh water and salt water. Compared to the fresh water, the volume bkgophtu ua ty2c-b;.74q: 7w -dd(iuof water displaced in the salt water is

  A steel ball sinks in water but floats in af (s.un9 g6 8agky6awz pool of mercury. Where is the buoyant force on the ball a(ggwuf.n9k8a 66s yz greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, w+py;:ps6 in tright next to a 10-kg piece of lead. Which has the greater buoy ;p:sn6wi+ pytant force on it?

  A piece of iron rests on top- :jrr6 s60kvfhr /xol of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water lelhr6:v0r-kjrx/ o f6svel in the tub?

  A piece of wood is floating in a bathtub. A second piece of wo.xmfq3n 8hr6 xh t-wdtpz.9i8od sits on top of the first piece, and does not touch the water. If the top z. n8r6p 83thwix xm.hf-t9dqpiece 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 larger thag3s.r9oepuv( n at point 9 s(p3.vuegorA. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens bil*xt+v32 roj7fot:y0 fzo0z 26 xpgto twice it 6zrg7 2 ozft0y:2t 30lbopf j+*voxxis original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows to hok/tu-dtrv zyqcr,d/q ;h;4 , y0j ;xualf its original radius, what is the flow speed idrtkvj, -, ;/qzqhdo u4uy/rty xc0;;n the narrower section?

State Bernoulli's principle.,k9iqgk y7 ,golx1 ulwb+)lj5

  Which one of the following is assocuxwin3 ch+sh 3f(0q0ziated with the law of conservation of energy 0xsn+c3uzq0hiw h(3 f in fluids?

  As the speed of a moving fluid i b(d6 fwpah ym+4/vm.ancreases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger th1b ud tc/a0z2+(ngkbfan at point A. Wherefucd(an0kg+t 1 b/bz 2 is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises p*jd*s/ogp/wq 2l/ jy. This is because

  A sky diver falls through the air at terminal velocity. The force of air resistptazv(;qz y0g /czr08w0 9zg mance on vc/8yw;0g tqm 9pa0z zgr0( zzhim is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously t : xcr13o+j:i: etaah :ph7lyfrom a tall top ot3arht7l:c e:jyi :ax+h:1wer. Which will reach the ground first?

  When a small spherical rock of radius r fallsqxbh61p27hyk i.y 41aidx o* w through water, it experiences a drag fhky2ixpi* yox.6 a 1dqbw7h4 1orce $F=arv$, 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 tj8+ 4 g.fob5 z8i7c+rxjwtiyl 0gv6nchrough a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatesty6l47cin5rcgv +gwf i8x t+z.8 j0job change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameter of pxyx zi(q 5//+oe5mkjt7 u qua/ipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. /e xou7xy ( z/ktqui/a5jqm5 +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 longe83kk/5a kcdtpn,rk7i, g yz-zd -/ md as pipe A. Water undergoes viscous flow ptk,yd ka-d krcnie d75,mz 3z8/kg/-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 "greasy" 7srsu/;islj/e i0v la j/ ,e s)-ivqh(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 readily explained inj7vu-e;h vrsl el0ass/i)j/q si i,(/ terms of

  When a tube of diameter d is placed in water, the water rises to a height0s1-s xbmdf.(jv vmfx*;d-j i h. If the diameter were half as great, how high would the water rise?d*m--f 0jsm;fs1(x i j.vxdvb

  Certain insects, such as the wm0f5wj0 zpc.ic wk; z4+ n8mge3x(datater bug, 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 a m xadm.jpz+wct wg5 80k; fi3ze4n(c0s wide, etc. What is the weight of bug B?

  Certain insects, such as the wate 4 subiu54vx*btb8tilbt o9,l gk* 7+tr bug, are sufficiently 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 on the feet of bugt bt5 oll* ,8tivib9b4uk*7 +s bg4tux B?

  A plastic block of dimensi 8u :-b)hg jo2-z(qjlpng/n +p cyrq3kons 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. Whnry(l-pkpuc:/h 3g8o)jn-z 2+qgb j qat is its density?

  A liquid has a specific gravity of 0.3j/ m(icth 0 ux/7iocvr-;a,iu57. What is its density?

  A brick weighs 50.0 N, 4bu51u8r*ye - bhanoiand measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum p8urboih*5n - 1uyb4 earessure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoez90 qzj a9jez- bbgv+2s. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (ab;z cn uk6p)juvb ;e66-y9lojvsolute) must a submarine withstand at a depth of 120.0 m in thu;;z6 cjnvklp e6)9o-ub vj6y e ocean?

  A circular window of 30 cm diameter xt+2 piw6eog8in a submarine can withstand a maximum force of i8w+g26oep xt $5.20 \times 10^{5} \; N$. 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 pressure is 36eo/6xuio4 qku 2e6x sbk ahbtq;5xa-i)b3 q300 kPa?

  What is the gauge pressure at a locatiunuyz:820qylp)by7is2k od0 on 15.0 m below the surface of sea? (The densitb:p20ylo uy0u2id) 7k y8qzsn y of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface of sea? q 2s/m-j 0*q yx odz,myvu,y-g(The dens0uv,zs*yx q y g-/j2mm,-qy odity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small pi fkw4ad s*,c 6mo byy0:l+rny*ston of a hydraulic machine. The small piston has area * 6:ao*+w0 ykl 4sbnfc dmry,y$2.0 \; cm^{2}$. 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 of 5.0 cm and the f3bbyi e *b)6*b14c qluoiw:i large piston has a radius of 15 cm. What force must be applied on the small piston in 3uycb6 **) qo:wbflibi ie4b1 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 hydraul7+0kioi+qu fhic piston. What force nk++ h7foquii0 eeds to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter ofm4tuqa;r(xl/jgy ef54 r o6n* 1ua,td 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,004t daa utq eo(*l6;m1 xynrugjr45 f,/0 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 watedya r t;05 0cqaz8b,wvr. What is the buoyant force of the dcbwta v85r;z0y,0a q water?

  An object has a voluji jvo17 vk, -wf7qmjd4y(yd3me 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 stringxlej 0ov +(,gf while submerged in water. What is the tension lg(j ,xfe+o 0vin the string? (The specific gravity of iron is 7.86.)

  If the density of gol8xuaiooz5z 9k7h0kbu2, 2 hemd 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 sugcr8 6 giq w2sc;o cjpu//**w mfbk/q0tt/nw/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 irz/6u7v:hwr :pb0f vjt is in air and 6.86 N when it is immersed in water. Wvzw/r7::up j0h 6fb rvhat is the specific gravity of the object?

  A container of waterk 4fm+(6 m.r9ym f/6deudw ail is placed on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the water, not touch9m.am i m6+6 /frdleu(df ky4wing
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1.0 kg and dex fu)hb h.,8lansity 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 j nl +3i5lqx6 txcjc9z5ust barely float in water. What is jn l653xq5 ct+xcl9zi its mass?

  A rectangular box of negligwue o5n+;lzl2 cmf7:v ible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it zo;eln :25v+7cuw l fmsinks 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 b 8gc 7i6uk h4wgx,wtfz/jhn(/eneath the surface of the water. The weight of the displaced water is 2000cnk uww gg,hift /j/hzx46 78( N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the su5v5t nmmtgoh.c6; .yr -eqd.srface. Whated. .;ygs o6tcm-nt5hqrmv.5 is the object's density?

  A 200-N object floats with three-fourths of its volume beneathwsfmyxm x48) 2mo +dhjax/ 4z, the surface of the water. What is the buoyant force ox4j)dmmfmx8, yh/+w42z as xon the object?

  A polar bear of mass 200 kg8 y -vqbj(ypf; stands on an ice floe 100 cm thick. What is the minimum area of the floe that will j(;yyj b vp8-qfust support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm atj-0k 2t n,m .iuamka5t 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 2.0r07 bi )d1v:jzod y-g ulg,ei( cm diameter restriction in the line. What is the velocity in this restricb i(vl): gdydeijo,0u1gzr7 -tion?

  Water flows at 12 m/s in a horizontal pipe with a pressure ke.zzeuw9g4 *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 dm w6ku1(wu.rqrinking fountain with 300 kPa, q(.1 urmww6ukif the fountain is 30.0 m above the pump?

  A hole of radius 1.0 xhw),d irr9ra zz; -9mmm occurs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow)mr9hz,a zr9;i-rw d x out of the hole?

  Water flows through a horizontal pipe of cross-sectional areay7q/y-, h vciq $10.0 \; cm^{2}$ 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 k uoak6,bxv.o7m x3is8 (-fvaPa-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 thekoua7of,x.s3b8ak-mx6( ivv upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall a3eftee, p9:y of an artery decreased the radius by 10%. By how much would the pressure pro3afy,p9e:eet vided 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 twice the diameta0*-kl:pvz1w/ te;ax z;nx xjer of tube B. If water rises 24 cm in tube A1et-ax:kv;x *zxpl; j w/z na0, how high will it rise in tube B?

  The surface tension of water iy 5kuh05r+wlidz +m j2s 0.073 N/m. How high will water rise in a capillar2 lhmui r5jyw k+z0d+5y tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillak kqum4fg.3- g(3exvxry tube with a diameter ofq(evggk 4f3.uk- xm x3
0.50 mm?

  A narrow tube is placed verticalljyl7o u4m l,v9y in a 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 value by the addition of some soap. What happens to the height of the lllu4j y vom,97iquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with0l-w 1hi:7,i( ay g1uxg6s3if rmoqdb a soap film formed within its confined a 7-:,16i fy gq(lsi bhr3dowai1u0gmxrea. 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 frame has length 12 cm and width 5 cm, and is builj.qw- hc:l,g +fftlx nrb* u+:t 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. -:fxnrj:hqgfbc+, ll+w* tu. How much work is required to move the adjustable long side so that the frame is 12 cm square?