The three common phases of matter u0yq;6eo po t;are

  Density is

  Substance A has a density):u:domh /cp0y3) bnv(wdk ro 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 un6b9,c)d6c9dpejx1 j+vkqk of pressure?

  Consider three drinking glasses. All three ha,:m p+8y ;lems p70 iwnbz+cltve the same area base, and all three are filled to the same dept l+ bpmp80yemwis7z: nl;,+c th 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, 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 and31njsnun: k- h2 vzn*q outside a tire called?

  When atmospheric pressure changes,t+ hwe1; d1(ob:hfx )v:gby qr what happens to the absolute pressure at the botteh b;o::vg1d(fwby t q) +1rhxom of a pool?

  You are originally 1.0 m beneath the surface of a pool. g1+54b0yq yfwplgz h; If you dive to 2.0 m beneath the syfgzw0pg yqb 15l 4+;hurface, what happens to the absolute pressure on you?

State Pascal's principle. mre0jz:5;c0 kg5 nrwb

State Archimedes' pr o3 ioyfc c)jv29,xmfv0g -) :huvsh;rinciple.

  $50 \; cm^{3}$ 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, what5x ayb;geg:l 6os);mj happens to t ):bsxm6;a5o gyg; jlehe buoyant force on it?

  Salt water has greatertu;* dfmcrrm 2j 24dpv.*j4d z density than fresh water. A boat floats in both fresh water anfr* vpr4j;dz 2c * dt42jmd.mud in 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 water asf5cu -vwsz(4w p+h(qnd salt water. Compared to the fresh water, the volume of water displaced in the s 5sf((qc hwwu-ps+4 zvalt water is

  A steel ball sinks in water but fc9pqv p04dr2np4bjc ,loats in a pool of mercury. Where is the buoyant forcerj 4v,ppb0ncp2 4dq9c on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right ( heik9*mtfxdg;mso 8: ++pfmy 5t2llnext to a 10-kg piece of lead. Which has the greater buoyant force h8f :y p5ls+l+e 2(fx mmki;dot*tmg 9on it?

  A piece of iron rests on 1o(mgxubsf s*20r sn.30gyk r top of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water leveg (ms*. yo0b3rg2sk1rnx0 ufs l in the tub?

  A piece of wood is floating in a bathtub. A second piece of woox(rkdr7v1nf1l2 r n; xd sits on top of the first piece, 1nrf 2vndx( xk;l r71rand does 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 diameterivn.x d50w. ne of the pipe at point B is larger than at poin.xnd05in.v e wt A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizont,ivaz5ln/2pim2 t/ ccal pipe. If the pipe widens to twice its original radius, what is the flow speed in thcmpi5v /t l/n2z2 ica,e wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. x(6iv 7t)a5ut/ovzq 3e .ozzrIf the pipe narrows to half its original radius, what is the flow speed in the na)( ter3.vo 5u 76xtziaq/ozzvrrower section?

State Bernoulli's prinz,tq9lr*6:mtfy)zfopl 0j 6iz(vf : nciple.

  Which one of the following is associated with the law of conservae/4*d xtpa po3tion of energy in/pxt oedp3a 4* fluids?

  As the speed of a moving fluid indh bo5 /:* +doy8sap8e9exipncreases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is largersjrhe+( s4o*z q;s gm33a7xf:zl mn;b than aes :z sg smfq+ ;r74mbo(hljnzax33;*t point A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper riseyn7 5b 5,u2 bsbcv0oogs. This is because

  A sky diver falls through the air at terminnoydi mnib,g0rb,u53 +2tf91vryk8e al velocity. The force of air resistance on hiu5o,btnf9din ikby 30 mr ,2yv1 +gre8m is

  Two Styrofoam balls, of radii R and 2R, are released:*+qwtf -otw0 8w7t4fi f+o,heoyhdc simultaneously from a tall tower. Which wil fd f4*w78twwecto -tf+hy0+ ,ho :oiql reach the ground first?

  When a small spherical rock of radius r falls through water, it experiencesmp-b))j ib z9 c9(ppef a drag9z- 9 eb)mpp(i)pbfcj 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 flui g-xq5clrqp **d through a narrow pipe? That is, if you made a 10% change in each of the quanticqrg l*q x-p5*ties below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twzh)ehwc tj 0.gfv, g,,ice the diameter of pipe A. Water undergoes viscoutvw,eg0 hgc,z,h f )j.s 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 al4nl04 tn :/sol ,ii2 eom8ei(jd(a5wtskw 7 ns long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pikl :o7i a/iw5wn0je4s2ti,n m tesn8l d(ol(4pes. 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 "greasyl d-g4sr 0. 9fc/uftks b,six fg;i1d7" taste seems to be associated with oil spreading out all over the surface o9 iul04fgdfr1bc.;xgd ts,i /s- k f7sf the soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diame u cbuht:2)2miter d is placed in water, the water rises to a height h. If the diameter were half as great, hb2c uti:2u hm)ow high would the water rise?

  Certain insects, such as the water bug, are sufficientdxhh:xl h7ii// ,com6 ly lightweight that they can run on top of water without breaking the surface tension. Water bug A has weight W. Water bug B is twii,6h dhh/ o/7ixxcm :lce as big as bug A, in all dimensions. 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 sufficientlc,mv)db +f0ily lightweight that they can run on top of water without breaking the surface tension. This is possible because the water, due to surfacbidlmf0)c+ v, e 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 4:yvto hcqz4yp7/npc9t/ 0 9v,fdo mb.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. tzh: /4 q0b 9onvv cfym/pop y97c,dt4 What is its density?

  A liquid has a specific gravity of 0.35j y;x6v 4xhml 1t1g(ys7. What is its density?

  A brick weighs 50.0 N,e7wm 4bt5jq( au/)rj p and measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maxim4urjet5w(/b7 p) jmq aum pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each s ezk5ubw7w+zv2su.e8 nowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) i8sb/8 u*xn,z fe0lfu must a submarine withstand at a depth of 120.0 m in the oceaeb 08, ils /uuf8*nxfzn?

  A circular window of 30 cm diameter in a submarine can withstand a maufb,4t/q + e+nbih: f y:xl(qdximum force o uy+tb/q(d+:ilhb 4e:qx, n fff $5.20 \times 10^{5} \; N$. 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 30*1ld0 zkm9wp p *nnuhenjpd/e33y hgo;.*d ;l0 kPa?

  What is the gauge pressure at a location 15.0 m below the surzro4dptaqhtk2.;-guuv4f* q8 2 q k i2s3n/xhface of sea? (The dens3ph-h qtqn4uzi2t;*dfr28k . ou aqs/42 g kvxity 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 sedqt: iu )tigxwj8+skfj8 pf0q. 41kq 0a? (The density of gptjfjx 8:wk0idf14qt0i.k )q+8suqseawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The smae 1r2y /iduv)lcp r/v4ll piston has u2)l/rpy/vice1 rd v4area $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the smallcg hu33tcwtb+2q*wq e4x6at/ 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 20t wqtce6/3tb x +qcw3a2h g*4u,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameterqv ;5l0uq z.rdyo -u1 wkp,8ts hydraulic piston. What force needsl zq-uywr 0qo5 ;d,8ks.pvt u1 to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and it6;e 6e h7l2dmg: jmq33d flczts large piston has a diameter of 40 cm. The li ;de6:2gqlj6z cm3h73m tdfleft 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 thw r9 ys sbq*6j53:gyqse buoyant force of th*jw s69 yb5rgqy3s :sqe water?

  An object has a volume of y q))bn 4oj9gdio h z(b+oe0(v$4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of soly,l8zzom))lgp 5 3ymzid iron is supported by a string while submerged in water. What is the tension in the string? (The specific gravit z8ogz 3l lym)z),y5pmy of iron is 7.86.)

  If the density of gold cr6k3qmkm :oibv-z3 /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 steel8tfth+cyqj/ ( yq/o (j submarine (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 w/vg6p0xdzb45jb 3kz khen it is immersed in water. What ipdxzz0v/kj5 b34gbk6s the specific gravity of the object?

  A container of water is placed )c-ldqc8/p i l,61imt 1 rw:fxw zgct;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 water6t8i:-rww f1q1c ; ), itccm/pxgdz ll, 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 def7yw/jbrr bbv+ub 7)2 jqu3b0 nsity 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 rvc hf 25phw4k:w(bg8 cm will just barely float in water. What isw42w bc:hg5r8p kh(fv its mass?

  A rectangular box of negligib72rqb8n; t :clh+8,kjk rvm8q ru4 ayyhn4e* yle mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of qk4n2 8ln *eb+aryrht 8rqmy;jkhy4 u87 ,:cvmass 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 the w;mp1 ko,6)si sud1vjl:sy,g water. The wei:l)6ivdsmkw 1, gj1sy, ;spu oght of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with threes.ywm)hrt:ef-*t- kuymz 4 n7-fourths of its volume beneath the surface. What ih- t:eknfzwy-umm4ry* 7 t.s)s the object's density?

  A 200-N object floats with three-fourths of its volume beneath the rlzs us34 f(p9surface of the water.s(ls uf934pzr What is the buoyant force on the object?

  A polar bear of massuqlv 3hm 4e0n ,:pc0ectkbz2) 200 kg stands on an ice floe 100 cm thick. What is the minimum area of:vbl 0 zept 4ke)nc 03cu,qh2m 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 p3*neyqbw 2v b4ipe of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm rsyp:mm0r304c qyo d ;diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this restrictionq dcr:ym0p ;4syom0 3r?

  Water flows at 12 m/ppq rq6 ) / mbpd30zy.fe/nr,qs 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 does it take for a pump to supply a drinking fountain with t-ov)pljphn 74 l. p+d300 kPa, if the fountain is 30.0 m abov+ p4d.v llhp-nt p)o7je the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage taxf,7 +q)k*cflraw-kz nk that holds w*kw)q+7 c-zx,k lffra ater at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipew 72iih+ rxg4j 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 vie f8qk +oaysv+75*fkiscosity of 0.20 Pa-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 the upper part ofy 8f+sa57iokqe kf v+* the funnel.

  Suppose that the build-up of fatty trdw8y0bcu; h )issue on the wall of an artery decreased the radius8 c0)r;db uwyh by 10%. By how much would the pressure 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)c 9y6s7 bjryh has twice the diameter of tube B. If water rises 24 j)y9bh7y6rc s cm in tube A, how high will it rise in tube B?

  The surface tension of water ije-g3 )r oxah3vw e+l.m+h 8ous 0.073 N/m. How high will water rise in a capillary toaex3v8wh+l oge.j- 3u+ m)rhube of diameter 1.2 mm?

  232

  To what height would water at 0 dctn hi4j70m7 kegree Celsius rise in a glass capillary tube with a diameter of m77 ij40nhckt
0.50 mm?

  A narrow tube is placed vertically in a 6bd9g6j(ssri 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-habg ir6 sj(9sd6lf 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 m and width 0.600 m with a soap filu l 5xe e)j1jmob*3axo5w*7 dk5de 1*ojwe*x o lkj57xum)ab 3m 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 the 0.600 m side?

  An adjustable rectanny 5dmsbg( ,;ghf0cx4jryi9/w6 xu h*gular frame has length 12 cm and width 5 cm, and is built in such a way that one of /54;6iwhy*rxjsmxn ,0(y gcf db9 hug 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?