The three common phases of mattemj nzf4cpv3b -ka2 l,*r are

  Density is

  Substance A has a densw:gq )po(0(dpx x p4hbity 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 is not a unit of pressure?* :o3brs:xp dw

  Consider three drinking glasses. All three have the same a a;cgi42p t:turea base, and all three are filled to the same depth with water. Glass A :t2a git u4;cpis 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, and so holds less water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and outside a fy/a gvp2)hw90se h4b tire called?

  When atmospheric pressure changes, what happens to the abso t9g:k h-esm8olute pressure at the bottom of a poolm-g 9 :t8ehkos?

  You are originally 1.0 m beneath the surface of dux 0vucyhu5 gz );71ua pool. If you dive to 2.0 m beneath the surface, what hapduyu10x)hz u7v; 5 gucpens to the absolute pressure on you?

State Pascal's principlee1t: ijc l55 0,/*ofhs bu.w blf7hxnc.

State Archimedes' principlx *g 53:axa+ kkpac.ek cg/ar5e.

  $50 \; cm^{3}$ 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, whatqza(( r42hkhjk) 0kfj happens to ( fkkra2z )h(4jj0qh kthe buoyant force on it?

  Salt water has greater density than fresh water. A boa8 n*pixjs;p7/uqvms65 nl2 p 8n2lwutt floats in both fresh water and in salt water. Where is the buoyant forqpl w/p75sxp;s822n* 8v6u t jinumnlce greater on the boat?

  Salt water is more dense than fresh water. vxg1 fc7p) c1vA ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the1 1vfcg )p7vcx salt water is

  A steel ball sinks in water bkt .tj d5w1kai7 r;wy(ut floats in a pool of mercury. Where is the buoyant force on the ball greaterrwtk(d5 ;ijt1a7y w.k ?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to atok8gmfsr 4/, 10-kg piece of lead. Whico,4/ gtmr s8kfh has the greater buoyant force on it?

  A piece of iron rests on top of a piece of h-snr8dvmmn 6v.s - 5ywood floating in a bathtub. If the iron is removed from the wood, what happens to the water level in thms5n-rmy vd.8v-n hs6e tub?

  A piece of wood is floating in a bathtub. A second piec1 ve/qes7 fu5),e:mto* s lxqde 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 f7, 1eml*toseduv/q: )qsx 5ehappens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B 5z,;o/bzixk cibv*.f is larger than at point A. Where is the speed of the water gre;,/ obvk5bziz.xc*fi ater?

  An ideal fluid flows at/3t*2eqgf 3qxbl f 5wx 12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider sec lqf5xgf/wqe233*xt btion?

  An ideal fluid flows at 12 m/s in a hopppwkqd-c /),5mim8j 8we* gjrizontal pipe. If the pipe narrows to half its original radius, what is the fp8ejw wmm ji/ g)p ,5c-*dk8qplow speed in the narrower section?

State Bernoulli's principle. y:/zt cz qxw.(:hikeu)eux;79k;eljd :req7

  Which one of the following is associated with the law 9o sa 2gt d8t.7tsy3xxof conservation of energy in fdts8sy oat tx2.739gx luids?

  As the speed of a moving fluid increases, the pressure in the fluo)2npzree+p)gz/;nn ve: aze/6+ mwfid

  Water flows through a pipe. The diamet54+jw niscu3 ser of the pipe at point B is larger than at point A. Where is the water pressure g i +4jnscswu35reatest?

  When you blow some air above a paper strip, ttm3bg;fk .b q+he paper rises. This is because

  A sky diver falls through the air at terminal velocik:5v33z +uy x0tqin amty. The force of air resistyqx 0iakn :mt3 zvu+53ance on him is

  Two Styrofoam balls, of radii R and 2R, are released sixu)a o.0-wvshmultaneously from a tall tower. Which will reach the grouv0-)usoxh w.a nd first?

  When a small spherical rock of radius r jp)u y l*f*g *w4j8oqtfalls through water, it experiences a dr*yut*)jq p j*of4glw 8ag 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*(y 7 hzkpk*hw narrow pipe? That is, if you made a 10% change*(y7h pwkzh*k in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the sam intidx2eitq62rnl.+ s m;5q 7e length, but pipe B has twice the diameter of pipe il6 +q ;5 i tmt.irxqs2dnn27eA. 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 rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is n,c(i 4bi g/us;o(a0 p rtg/lptwice as long as 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 B is Q, what is the flown4ic,(l ;(piuggt /oa r0bps / rate in pipe A?

  When soup gets cold, it often tastes greasy.dprgcs1n) ).lb3jr0 y This "greasy" taste seems to be associated withc .1gljb sn3r0y)r)p d 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 of

  When a tube of diameter d is placed in water, the water rises to a*zp2c8po0 uk+ +he huy height h. If the diameter were half as g*h+z+e0yk u opp2chu8 reat, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightwei dz3hqo it;,g2oz2jy5 ght 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 diqody2ij ,5t z3;gzoh2mensions. 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 sv5 cgwm+fwrj0y ;1 zt3ufficiently 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 ma zwgfr +5tw1 v30jmy;cximum 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.+cgi). vc9usle ik+(fsdf-7c 00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What c++v e 9su icgd( )f.sic7-lkfis its density?

  A liquid has a specific gravity oksdcauw;+ lvejx. ifl )f-(fb .uk; +*f 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. z 6 exzn,2z2keWhat is the maximum pressure it can exert on a horizonta2 z26 zexzek,nl surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has are+dp6; -qf*ohr. 7lv2yigm nsn a $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 120.0 ml4i/0xa8 / v cmscbxp7w ;bk7u9dj vx4 in the ocd7v 4b7 0iuxwlx/9jsxm b pcakc;v/48ean?

  A circular window of 30 cmfh3yo(m xt3;p+d -opf diameter in a submarine can withstand a maximum force of mp3o h;f(x ypdfot 3-+$5.20 \times 10^{5} \; N$. 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 mq2((jqe(8xtxob gs/te pressure is 300 kPa?

  What is the gauge pressuq qu.u+1 l7c 6ybs+ynvre at a location 15.0 m below the surface of sea? (The density of sea7uq.uvsyl+ c1+y6n q bwater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface o 2)6potpl2m sdc(p8 ysf sea? (Thl tm(cpsp2yo2sd )6 8pe density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic mach1 -kfr9ceob; 1n zn0rline. The small piston has1zk n10elob crrf 9n-; 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 small piston has a radius ordve/rb 9 v).b8,ce g(rg/ dpof 5.0 cm and the large piston has vpr( rdbr/edb.g/ eo) c,v8g9a radius of 15 cm. 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 cm diameter hydqoypybtd17ij f7eg8 :l)a6a: raulic piston. What force needs to be applied t8eblt1f7 yao d7:) agq6ypij:o a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has gbek6nitaac)v8 dg b5 8+o//ya diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 1 i/g5e tk) +ydbc/vb88 6noaga5,000 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 an dnt4mb.lp5z ji6/ph4 d 30 N in water. What is the buoyant force of the w45npil.tbd /hm6j z4pater?

  An object has a volume of n7ecgv,wv v62zaewwt ),hv l3ghq a81n, 1cm6$4.0 \; m^{3}$ 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 ytw0(i;:gbfg na atj ic h19 565ew-qewater. What 0g;qc-5tehfa9w a 6niy1gib:( 5ejw tis the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of golx-+ x57k 3a1 kqepjrlkaah3j0d 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 submarine (densit2 jn2 vljl*;cdy = $7.8 \times 10^3 \; kg/m^{3}$) 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. i;5 *qjfgszs*/ tkk*m86 N when it is immersed in water. What is the specifimkfsk5 ti/qz***sj;g c gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 pe+z;h4xjy 5w l 4y/0rv 7zloyg. Now a 20-g piece of copper (specific gravity = 8.9) is sljp4xrhy47 zyyz +ve ;w50o/ luspended 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 , v,iifwd b 3/28uj(nhfvur y7wgz;9oof 1.0 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 di * r*if:vedchda1l+b*ameter 2.0 cm will just barely float in water. What is its massivd* *b*+a1ce r lf:dh?

  A rectangular box of nkgc 1tm)w 0e4f3 r9es*)uxh gqegligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded ontowqt1eh ekgcm s9 )*fgx)u4 03r 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. np h:mp,i7)w6 ubqjw 4 The weight qwji nwph,)u 64mp b7:of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its vo )nzb,ucql -y*lume beneath the surface. What i-cnylqzu, b*) s the object's density?

  A 200-N object floats with th;ah78gr9r4h i6h5i* m zv uasoree-fourths of its volume beneath the surface of the water. 7 8io5* 4riaz6mv 9;ghrsahh uWhat is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice ka ug hwhq 2y,.+ z3eljse1c)o3m3iv7 floe 100 cm thick. What is the minimum area of the floe that will just supslc.+jkmhe7hq ,3 i3g e1au3 wo2zv)y port 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 fseo-vt1g;n1 s4w7y3jhha cpq * o9;pflow rate.

  Liquid flows through a 4.0 cm diameter pijxw0bmu f b)t2()v6 bdpe at 1.0 m/s. There is a 2.0 cm diameter restriction in the0f)x mudjv (6bw bt)2b line. What is the velocity in this restriction?

  Water flows at 12 m/s in a hw *yxe5dz )acc :0x3.n xuggg2orizontal 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 does it take for a pump to supply a drinking fountain with 30 i+,fjx,.k4+5fann.qqrj bg vgb,2l b0 kPa, if the fountain is 30.0 m above the pum5 f gnrqb, , 4j .q,b+vi+nlgkb.jxa2fp?

  A hole of radius 1.0 mm oc k mrsr. /0 e:gw3dk+3gtz5, hbegy4bkcurs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rateg ekhd/,g 04bekm zk.r3:53g+tywbs r will water flow out of the hole?

  Water flows through a horizontal pipe of cross-ym0,3/rrtp mj 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 take to poug;b zw i p.5jsdxw19h*b: rk7sr 4.0 jgww7*z;dh:kbs9 r x. ib15sp 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 an artery d t-w) 5xfx bww,-pp9dgecreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a coxww- 9bfgp wxp5-dt), nstant blood flow?

  Two narrow tubes are placed in a pan of water. Tube ow))2w.obo s-p c2ptz-tobooc1 /7 mxA has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in tube Bwbsbowc xpo7z2/oot.) t-)c 1poo2m- ?

  The surface tension of water is 0.073 N/m7n: qdud p z1n0i4pah). How high will water rise in a capillary tube of diameter 1.au 0nz h dpn1:ip)dq742 mm?

  232

  To what height would water at 0 degree Celsius rise in a gle0 cumd,8,tqd ass capillary tube with aqumd, 80,te cd diameter of
0.50 mm?

  A narrow tube is placed vertically inipgprn- 6x2n2zkb+6 q 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 valki-2g2 6p nnr pqxbz6+ue 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 m 4hs/dqltm v *y r65u93c gd0rxand 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 fv65cg4xhq d / *9r03ursytdmlorce 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 b85 89ry)vrpq6gzcb 5vlp04ei e lq a/kuilt 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 su )68rv 585yg 49/ceevlpqqiapblk0 zrrface tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?