The three common phases of maddalf.;e(7,.z 2op c+qcttd9b l n)dftter are

  Density is

  Substance A has a de*ehqp9qtx33 yn0v-id6bkgy u,aq56 r nsity 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 il3d ,vcq-gfy 18bh0lt s not a unit of pressure?

  Consider three drinking glasses. All three have7nq): x. quxby+f-gdm 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 b)-.fq:g7 xnqd+xu ym 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 pressur-pq8cm 6 7 pdb**lmvuropc7 5des inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure at taz(b6 fvoyap.4)3 yrohe bo3a poy z4(a6orf ybv.)ttom of a pool?

  You are originally 1.0 m beneath the surface ouymqjuzp 45c- 1: p2ljf a pool. If you dive to 2.0 m beneath the surface, what happens4: uzj5 jc2 pylmp1qu- to the absolute pressure on you?

State Pascal's princip3thgx)m .ov)+/iowbk q7wk5w le.

State Archimedes' principle. (d;ac7*-dscbbdxsk z pnsc 331o2pu8

  $50 \; cm^{3}$ 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 happ o y1u,z2jfs0prjdyu x6o267 . ov:uyiens to the buoya07p so,forxzjyv .ouu6yi2d216 :ujynt force on it?

  Salt water has greater density than fresh water. A boat floatb+z ,c4i/fy4o stba8ps in both fresh wat84bb4,ysft ozi ca +/per and in salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floa *nu:oclb 12fcts in both fresh water and salt water. Compared tobf2*u1loc c :n the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in wa4gr ;8qf*46 fyvwr dnrter but floats in a pool of mercury. Where is the buoyant force on* v4qd4r w fr8;yrfn6g the ball greater?

  A 10-kg piece of aluminum sits at the .3 pn qug*5twobottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant forn.t*35 qpgow uce on it?

  A piece of iron rests on top 0 6ujmrbg54xg/pr7lt s9bc1u of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water level in9u/sx4 j 0rrbug71pcb65mt l g the tub?

  A piece of wood is floating in a bathtub. A s6v31ekpa sy2ad4 8dff econd piece of wood sits on top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, what happens to the water ledk y8 aps14adffv32 6evel in the tub?

  Water flows through a pipe. The diameterxl3.y4x(qcsftt*c2c0 *lx xa of the pipe at point B is larger than at point A. Where is the spec*4 qx *3(2.ac stfx0yxllx cted of the water greater?

  An ideal fluid flows at 12 m/s in a horizont1h ebiy r6;yyei- :3xral pipe. If the pipe widens to twice its original radius, what is the flow siir1-6xy y ber h:3ye;peed in the wider section?

  An ideal fluid flows at xc1t7j ( 4g s2u ylf0lk2-ezfz12 m/s in a horizontal pipe. If the pipe narrows to half its original radius, what is the flofc jg yz4 kz22u(s fx1-0e7ltlw speed in the narrower section?

State Bernoulli's prin 4jix e9svlw4v*0 kpv6ciple.

  Which one of the following is associated with the latzd76ug; eefma7wprcn6 4.9hw of conservation of energy in flw .76ne rg7fmu4 96;dehaczpt uids?

  As the speed of a moving fluid increases, +ggj -sa 8x5p; 5kw:xk*shulrthe pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B isil/ ze*hvcc(gpj u08z/ q.y ye2)f(jy larger than at point A. Whelfv zc* (0igyyceh// q) .jpjyu(82zere is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This ise k:63iq zla+ ;yj9:w0guipon because

  A sky diver falls through the air at terminal velocity. The foi(k4zta:;drnei2 k 7trce of air resistance on him iszda(e:knki t;i472r t

  Two Styrofoam balls, of radii R and 2 ac6g51 xbies(R, are released simultaneously from a tall tower. 1xag b(is5 6ecWhich will reach the ground first?

  When a small spherical rock of radius r falls t3 bsjnl7c1/ xyhrough water, it experiences a drag f/3 lxsc1nyb7j orce $F=arv$, 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 nar0t sus84ov h/frow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the gss uto/h0vf48reatest change in the flow rate?

  Two horizontal pipes are the same length, but p hyu(3n av(qb9ipe 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 uqnb v(y3 ha(9pipes. 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 rw gm0( q1ugfl2o8 dh(brw *:ztwice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure diffe0: 8dw2olh ugb rrqwfz*mg( (1rence 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" t 2cu -b01cbquzaste 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 requ210c-bcz ubadily explained in terms of

  When a tube of diameter d is placed in water, the water rises to a height h. l,k nvd n2gs55If the diameter were half as great, how high woud5l5k s2gn,n vld the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight that :rwt/ma/ahwc, jh ,2zoh9 d. jre+:mnthey 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,jmh /:e9m/dcwa, .htn + ozawj, r2r:h etc. What is the weight of bug B?

  Certain insects, such as the water bug, are suffic pbkcb2 hnp+9ao0om.0k 4oq8 piently lightweight that they can run on top of water without breakk o0an4mb 90cpp+k.bo8 hp2qo ing 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 bug B?

  A plastic block of dimensions 2.002uhnf+,b1q kg cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its denfb +1ghq2 u,knsity?

  A liquid has a specifxfid 5s c87w( 2f(ejsp as6w3wic gravity of 0.357. What 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 magr ows2,,ubx8 xbwrus, 28o,gximum pressure it can exert on a horizontal surface?

  A person weighing 90hnbf4 o-jz4b;0 N is standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarinxv-i3pkzcm 02 e withstand at a depth of 120.0 m in the ocean?cmi2 30kzv -px

  A circular window of 30 cm diameter in a submarine can withstand 9*+cxfqe .a u +27veevs:fhvje q)sq0a maximum force ofjves0 qe7hcv+92q e*.x fas:f+q )v ue $5.20 \times 10^{5} \; N$. 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 absolu;vk,7v 6l iuybte pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface o ali 2ve: ul-b pcit,27.xc8fxcua/)kglx1:xf sea? (The density of u -af:127c,ceixp/g8l.li lvc :)x xbkx2 utaseawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure atfrnxr898srj ;or* ud; a location 15.0 m below the surface of sea? (The density of s89dunfo*rr;rx s8r;j eawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic ma q k ::e -fp6afur:nwaey0,tb4chine. The small piston hat:ueq0k, r wb: 4fy:a6 fpena-s 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 garage24a gu4;ei6poo*ck mwfbm tk9p 3 g8m9 lift, the small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What fou92eik mmtampg 36* c;k8og94b w fop4rce 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 piston. kon5 z8fk a3sny n6zjisz i(z5es70+ 0What force needs to be applied to a 5.0 cm dia iy+na k35k87fsnesziz6js0(5 nzz0 ometer piston to accomplish this?

  The small piston of a hydraulic lift haez9fks+. 9dzel 4 vv r96m57joz qrbr qj)1jk0s a diameter of 8.0 cm, and its large piston has a diameter09 sqf l+rvr4156zz rj b997m.kjvk )ozqe dej of 40 cm. 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 water. What is the buoyanwhjzoe / -45xit force of the wae5zow / 4ixh-jter?

  An object has a volutfr* 816x8h d6qe ihpbme 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 string while submerged in 3ooay/jcb .) ewater. What is the tension in tho/)3b.eajoc ye string? (The specific gravity of iron is 7.86.)

  If the density of go q*uab+ wx8si)ld 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 subm32a 2nvvva7tl(x 1js hgd:p5 qarine (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 6.86 N when it is immer +d9hzlh(z+;jx(a.*epkghhs sed in water. What is the specific gravity of the object?sh( zxhdk a ; pjl*+(eh+g.9hz

  A container of water is placedvx4 kh ixu,+-j 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 lowereuk h+ jx,4-ixvd 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 de i5-ggp k, 3p0gilr1cb hk;6xfnsity 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 and9 nebhc6mil7sgu( cg17j1m/b diameter 2.0 cm will just barely float in wcl(61b 7nbu7e gcs9im m1/gjhater. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and r:z4oxm 4- ca*)t+ kne+brgaf0.50 m high. How many kilograms of mass can be loaded on4+ra)-er bn *:cgazf+mkt o4xto 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. r0v;s h) ourp1 The weight of the displaced water is 2000 N. What is the v ru;h)or1s 0pweight of the object?

  A solid object floats in water with three-fourths of its zv i.-liiw :y2unk,z(volume beneath the surface. What is t vk(zi. yn,wil:zi- 2uhe object's density?

  A 200-N object floats with three-fourths oft : sid8nai7a-h 7lgdsy.+cn tymb-+/ its volume beneath the surface of the water. What is the buoyant a :/ty+l8--siys b gdmchdn+7. ta7i nforce on the object?

  A polar bear of mass 200 kg stands on an nau524pu, hv- he)atkice floe 100 cm thick. What is the minihv2pnh uu4)tke 5aa-,mum area of the floe 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 2.0 m/s. Find the flow rate qj :(-h xrlyoma5oi-6.

  Liquid flows through a 4.0 cm diameter pipe am+f2o. b .x , i,xwyyo;jk2tigt 1.0 m/s. There is a 2.0 cm diameter restriction in thfo+jto.;2x .ig iw2 yk,ymb ,xe line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure of7*xip-7r4a0 cq fuuzgctgr( * $3.0 \times 10^4 \; N/m^2$. 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 n6h)c*wkq*. hp vb c-ydrinking fountain with 300 kPa, qk*yv*6nb-c . hwhp)cif the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water s e*/j irw+jd+u3ey.h*xyu2g utorage tank that holds wiexu*h*r eu.y /+wy2 j d3u+gjater at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizonta*q5c )itv(lisl 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 long would it)hfsmg- p (rt/ take to pour 4.0 (p)rgsh-tm f/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 funnel.

  Suppose that the build-up of fatty tissue on the wall of anrs1sbvaot .r6 5v t*v f0xb+. 6npbksmf.xa1( artery decreased the radius by 10%. By how much would the pressure5obsab6t 1+rm b. v1tp vxxnr6.a*.f sk v0s(f provided 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 diameg 75, n.ctfo3-iflnl sb.eil: ter of tube B. If water rises 24 cm in tube A, how high wnf.:ni7 lc i5b el.,t fsgl3o-ill it rise in tube B?

  The surface tension of waterme/.rvi56qqcd+ iaw7,hjw xkk3m 7, h is 0.073 N/m. How high will water rise in a capillary tube of diamw 7kc6dh5e /.3kjvr ,i,iqm+ mhx7 qaweter 1.2 mm?

  232

  To what height would water at 0 degree n,;c.qtz4(x 8vu ogpe a n(*jyCelsius rise in a glass capillary tube with a diamez(vyj8*tuaxq,c . 4 (e;npongter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in thedmkl+ ,),ezr8mzaxk +/ (mdpv tube to 4.0 cm above the level of the pan. The surface tensiz+ed /)xmlmaz8rkdp+k ( m,,von 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 3jxnf-17v)uacdx dz(jx4e8de2dy2 v 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 xxc(jvydjz-d x8a2n4vdd)32fe ue17force 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 built imfz; s6pkmvr)s)1:3ewq z/wv 16 cqya n 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 adjustmpca1;1sz/ 6myqk)sz efv3 vw)w:r6 qable long side so that the frame is 12 cm square?