The three common phaseswbrzh3 m.aat-kj1uy :tg o+tw2ymv +l/:)tn ) of matter are

  Density is

  Substance A has a density onhdz f37(b00kskhac9 f $3.0 \; g/cm^{3}$ 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 notb qhz+8uk0rc8tq5 b3- i0kxd v a unit of pressure?

  Consider three drinking glasses. All three have the same area base, and s m)q0x v)ej4sall three are filled to the same depth with water. Glass A is cylindrical. Glass B is wider at the top than )ejxm0s q)4sv 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 bet1kac ag)zxyi/jr5juc.3 g52eween the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the abso6 :ui-wb *ba:roc zcu9qd7xs9lute pressure at the bottom o*bzbci qo su ::wr97d6x-9 aucf a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive k; akubaaa3e3 l*gq04 zo4d :kto 2.0 m beneath the surface, 34kguok04b l qa;*k:deaaa 3zwhat happens to the absolute pressure on you?

State Pascal's princi1o3usk e9: vn0apjp -bple.

State Archimedes' principlet2xf 07qf9q 0f o-9uzh8 cedecaldw:; .

  $50 \; cm^{3}$ 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, wbp;ht w.,mvcj6 -hh/h0u3 uae hat happens to the buoyant force on it? -ce;a h6.hjwuumph b30h,tv/

  Salt water has greater density than fresh water. A boat :lf*id2gkyh 7 floats in both fresh water and i i y72hldkfg*:n salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh wateq/:1cz ae-9tc ztd5pc r and salt water. Compared to the fresh water, the voluzcc:qt9 p /da1zte -c5me of water displaced in the salt water is

  A steel ball sinks in water but fld7f lv fo9/3mgoats in a pool of mercury. Where is the buoyant force on the ball grf3gl/ vfo7 m9deater?

  A 10-kg piece of aluminum sits at the bott ;/pe 2yn) lppzc41y wtyl.98 je3jmyzom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyanp/pcny1tyj .ezz ye 4l9 myj; 2)83wlpt force on it?

  A piece of iron rests on tu2fp*hc2 2xeh .hkz.1dlf7nsop of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water*2fecn. duf hph7k1l .szx 2h2 level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits on 0.pkqseyz g o 23:tjlie65u(atop of the first piece, and does not touch the water. If the top piece is taken off and placed in th:ouk .ilp5a60s e2 3jtqz(y ege water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at poielgp ,h f,x 1k-vw rmml+7a-q2nt B is larger than at poig2fe-,pm,klqr+-mw v1l ah7xnt A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontalbz kf1 gs*ve ch*9 9potfh6r5+ pipe. If the pipe widens to twice its origin9gkfzeftp*s h*o5v9b +hc6r 1al radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontadtr;j., fd f-bc57y vql pipe. If the pipe narrows to half its orj-. b ,cdfqty5;r 7vdfiginal radius, what is the flow speed in the narrower section?

State Bernoulli's pri3 u gp ,xmxeq-uu10n:jnciple.

  Which one of the following is associated with +fhq0 h;gy9looqd:p7ti7 8 xethe law of conservation of energy ;yite9 +7o h8:gqfl7hpxo0 qdin fluids?

  As the speed of a moving fluid increases, the pren*gs)fto j +ms kfrf;*7ty -:tssure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger i:frfcabop 3+op:l2u p :7yj5 than at point A. Where is the water pressure greate 5: :23l7pa ou jrfyipcbfpo+:st?

  When you blow some air above a paper strip, theh7tmbygmfay60xpy-- - qouj5 -;s wf9 paper rises. This is because

  A sky diver falls throug z7ddn)wo gh73h the air at terminal velocity. The force of air resistawd 7on7g dhz3)nce on him is

  Two Styrofoam balls, of radii R an9xf vh *3fmct:)k omuy 1mys/*d 2R, are released simultaneously from a tall tower. Which will reach the gro o3*mk th) mvc*/ff91m us:yyxund first?

  When a small spherical rock of radiusauytp mv+j 3s6,vp7*3c 2c tl vrd.oj1 r falls through water, it experiences a drag forv,3cdmr y76ajjplv *tc. tvo2 1 ups+3ce $F=arv$, 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 o xczglb si(14k y /jh,5p5yo8un the flow of fluid through a narrow pipe? That is, if you made a 10% obc 5g/lki z,px1jsuy8(5yh4change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the * r, bi4 4shpge3,m(vhnw9e3g osn5acdiameter 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 rats h*nin 3b43svg e4a(mrw 5pcgeo ,9,he in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is 7um*1kgo d 8p(eer5wutwice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference8w1k7 rpug5(eo emdu * 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" tas,pi4)iszz.qf 4r-l1xi e0 hwtte 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 in terms ofhil0-1er 4fqzsi)xti .z w4p ,

  When a tube of diameter d is place(q4xxr:rq 8t7;phx nl d in water, the water rises to a height h. If the diameter werexpt ql 7hqn8rx(xr;4: half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight tha* )u:.ce dpzeot 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 pe: de .z)co*uis twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such ast n;sj9iohx63 ;* glxn the water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. Tho lg3s;;tjn9xn 6ihx*is 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 bug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm has a mass 5 fent5.pu5ps of 30.0 g. What is its densitesnup5 .f p5t5y?

  A liquid has a specific gravity of 0.357. What is its .kgeg:xbc3 k;6ftx; z density?

  A brick weighs 50.0 N, and measures 30 +m*mzbrte )pv)2uqe- .0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a ht2 umv)qze e-*rbm)p+orizontal surface?

  A person weighing 900 N is standing on sn**f u1)gy4uk qr3 ihztowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withsc 4y d1g+6woi1 34cnrvppyk3ptand at a depth of 120.0 m in thd ygp i1 4rc+wvnopcy64p 133ke ocean?

  A circular window of 30 cm diamete *svklo/7 dfj8r in a submarine can withstand a maximum force f 7v josd/*kl8of $5.20 \times 10^{5} \; N$. 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 0ki*opu+j -lyd 4o q3yis 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (Thednx2 fr./el0o density of seawloe /x nf.2dr0ater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a logbe6covi:d hi xrmg0: ;2+fg*cation 15.0 m below the surface of sea? (The density of seawater is 6rf*;ih ib g:xc2vd+0gmeo: g$1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The smal( piro;kkyzl+/e 0bc*l piston 0 eb+io*lr(cykpz/k;has area $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the +7l) uxv-fylqsmall 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 small piston in order to lift a car weighing 20,000 N on lq fv+u-xy) 7lthe large piston?

  A 13,000 N vehicle is t7 (ec9q14,c xbqe*l mvvds0ydo be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston qe09ed4l md ,qcysbv17c*xv(to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, andhek- 7ljhz+q4p8rqb-s2 ) k udt 3wmr3 its large piston has a diameter of 40 cmhdqmt7 rz2 -jhw l-kk8) erqb+pu4s3 3. 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 i-gcdkhak+o8cbnq0 s8.0 qr2water. What is the buoyant force of icaqg+qkhko82 -dn0r0.bc s8the water?

  An object has a volume+pg5 yylm 6: nyy ors1qjfo./o/1s4y x of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of soli)xlt0z -y+q cbxn)o0zd iron is supported by a string while submerged in water. What is the tension in the string? (The specific gravity of iron iolqx+ yt nzx0b-)c z0)s 7.86.)

  If the density of gold isi)f9/l ;nglp 7uhx qw- $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (density ns7dftk, 01fu = $7.8 \times 10^3 \; kg/m^{3}$) 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 whb dljxg 3w8s+a4w16fven it is immersed in water sfw68b3+14wlvax gj d. What is the specific gravity of the object?

  A container of water is placed on a scale, anw2rqm;0l,qbvr;xv 2ny. he)s d the scale reads 120 g. Now a 20-g piece oy b2v lq;q,sv re)rm.w xh;02nf copper (specific gravity = 8.9) is suspended 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 o1n9( qycz9sdd9xsw) kg 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-o:ic 0uk qjg) diameter 2.0 cm will just barely float in water. What is igc o)u:-qji 0kts mass?

  A rectangular box of negligible mass measur9a4m6ueyys3/ k mlbq 4es 5.0 m long, 1.0 m wide, and 0.50 m high. How many kme kl4 6yyqma u3b49s/ilograms 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 th +ua baqniu i2 e hzui0)ox4*;gd/h*5ge water. The weight of the displaced wat+*b;huz/a) oi d *xi4e u5guqahi2n g0er is 2000 N. What is the weight of the object?

  A solid object floats in water with thjn+7sd t s)sjzr48*z pree-fourths of its volume beneath the surface. Whatd8j4 s jtzz7nr+pss)* is the object's density?

  A 200-N object floats with three-fourths of its volume beneath the surfn3 +taoi s2rejccl509 ace of the water. What is the buoyant force on the o5 oicn c je3rl09s2at+bject?

  A polar bear of mass 200 kg /grjn.ux -mv iq h2/d,f 67ejsstands on an ice floe 100 cm thick. What is the minimum area of the floe - q.i7xf j/dns6v,hm gje2ru/that will just 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 at 2.0qi9-n/e )zujw (n9b,h snl0bb m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diametncyt(a 6iy :rs7k8.v*pe/fymer pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this 67(s.ftck:naymr8 *y/ yei vprestriction?

  Water flows at 12 m/s0l*04r3bz t4rc dq bvt 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 does6taojig4x3 n* it take for a pump to supply a drinking fountain with 300 kg x4in*6ajt 3oPa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the botemp9y b+bw:h) tom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow out of hpb+eb y)m: w9the hole?

  Water flows through a horizontal pipe of cross-section qhybdl2(5 3ivwz93tqal 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 viv hs/.z.2utit o. pla)scosity of 0.20 Pa-s. How long would it take to pour 4.0 L of oil through a funnel with a neto.u/ vts. .)alip2zhck 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 funnel.

  Suppose that the buildjn*.c ;x .ruuaz)p;se ps.6zq-up of fatty 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 consc;prjz) . ..a6p ;uz *xqesnustant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice t,qf dbsab4rlpcq4a(-q8 p: 9 uhe diameter of tube B. If water rises 24 cm in tube A, how high wau r(d-sqcab9, fb8p4ql q: p4ill it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise inexwca 08z6,su a capillary tube of diameter 1.2 mm0x8ez sa cuw,6?

  232

  To what height would water at 0 degree Celsius 1an14cs o4n)(ux xljmrise in a glass capillary tube with a diameter of4nnol mu 4)1cx( jas1x
0.50 mm?

  A narrow tube is placpa ;z7q eihp5 2 w38wfp w259e/acwkuqed vertically 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 s5/w2q zhwu2e;5ie9q8 7wap pf3cpwk aoap. What happens to the height of the liquid column in the tube?

  Consider a rectangular fc4,u3-qwv .bw xwm u0qrame of length 0.120 m and width 0.600 m with a soap film formed within its confined awqc 4.wb-x u0mu,3wvqrea. 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 rectangu9ab:hw6zezv8j)x fi7 :q e8eelar frame 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 water9)8 :exifw8eq:zzve ba j7eh6 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?