The three common phases of mat oikw3( d4fi4bter are

  Density is

  Substance A has a den g5;iyjmnm2vg:b 4h46r8g ytcn0k gc-sity 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 po 2p5lw1w sxh:+z sn8nressure?

  Consider three drinking glasses. All tha fwj5p (x);(9faw zreree 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, and so f(arje wa;95)pf ( wzxholds 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 tire c8 mrugg 61bm1aalled?

  When atmospheric pressure changes, what happens to the absou ) x7c8d ibkm*cl*rf4zzn;: llute pressure at the botto;rf dck48 lmz) *ix:b l7n*uzcm of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive ts( j: e7:kpnylwf;1 kx:g9azu o 2.0 m beneath the surface, what happens to the absolute pressure on z79k1ykj: :gnx e( ;lpwsu:fayou?

State Pascal's princ8 r3* i *;*5qzm s tdeq9wetg7)vyhlyhiple.

State Archimedes' prgy7b0a 8 b/m9 ag+jt1(ihwlyz inciple.

  $50 \; cm^{3}$ 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 d//oukkhj e6.heeper into water of constant density, what happens tjeku 6/hho./k o the buoyant force on it?

  Salt water has greater density than h-f1h/:f fqulgv17km qk px,.fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant -h:ff1/ uv7mx, h.p qkqlfkg1force greater on the boat?

  Salt water is more dense than (omh nu. 7cjwp/g p qdsvh +om;h916y1fresh water. A ship floats in both fresh water and salt water. mhp6nwsj y(/ .7m qcgh9 v+ouo1dph1;Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but fl w, 8t9wyivs3: h agbcuo3kj92oats in a pool of mercury. Where is the buoyant force :3b93ukg89wsw,ivc thy oa 2jon the ball greater?

  A 10-kg piece of aluminum sits at the vce i0 k3x7z ebc4rb.nd.:oz)bottom of a lake, right next to a 10-kg piecz. b.) rok:bvenz7d i4x0c3 ece of lead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating6rp5 7 zir) tr2yprv.i in a bathtub. If the iron is removed from the wood, what happens to the water level in the t6rr 5prtri)i y zv.2p7ub?

  A piece of wood is floating in a bathtub. A second pieceo;efht00f8o g qj o w/z:x+zp: of wood sits on top of the first pieceh0 q;ftoxg0 /o8+ :z opjfzwe:, and 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 diameter of thq.11v)n1tw fx rua1fd e pipe at point B is larger than at point A. Where is the speed of thtwr11dn 1 )fa1qxvuf .e water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens t1 t 4+w(,tdkwtyl0w,efkdx i 4d6 z1jdo twice its original radius, what is the flow 446w01+(d yfidt,td1zk,w jdx elktw speed in the wider section?

  An ideal fluid flows at 12 m/s in aj6qhq (6q(urnk/r9wn horizontal pipe. If the pipe narrows to half its original radius, what is the flow speed in the narrower se /9jk (6qqw6hrnr un(qction?

State Bernoulli's pri8bx8m; +1*wbr6 qvh zsetn u(znciple.

  Which one of the following is assocon6zry (+d.m/cww :uniated with the law of conservation of energy in fow /:c.my6(znd+nu rwluids?

  As the speed of a moving fluid increases, the pressure in the for8 yx(2jlt kuf a-o;ebdv,.xaq j8 (5luid

  Water flows through a pipe. The diame-nd;r 9l zq.dater of the pipe at point B is larger than at point A. Where is the wate l d.drna-z;q9r pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is becauspg5st1cm,dfvi 9krpl01 /(iz 7j zd8be

  A sky diver falls through the air at terminal velocity. The force of a)fd.zrun16x o 5oo9yjr6f m:jir resistance on him om5 )f jo6x. 9z:jrurfy1o6n dis

  Two Styrofoam balls, of radii 07i ,luql2u8 lva-epq R and 2R, are released simultaneously from a tall towel0v q27u,uel a-i8lqp r. Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it experiences a d(30oyb8 e pdgyl xn:7trag force3bdx ( oepy7g0tl ny:8 $F=arv$, 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 thrcfez h(0hq0h )ough a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatesh0eqh)fhz (0c t change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice x-r 1ky sx)b8q(vct 7llhb(o*mj76hq the diameter 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 6m-lvscho8hq 71) j *lktxyx(b(rq7 brate in pipe B?

  Two horizontal pipes have the same diameter, bb vmllxf:p;4:-+ rfc jut pipe B is twice 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 t:c4f-vx l+ jbp: mf;lrhe flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "greasy" taste s j3w5sbjb;to; zm1h(t eems to be associated wjbhw5o3t; b1 t (mzjs;ith 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 heb+ uc6qu-1cjf ight h. If the diameter were -qfcb+ jc6uu1half as great, how high would the water rise?

  Certain insects, such as the water bug, are suff 8 ty)4 3eio.k0 h+nf9edgu;ha hquew*iciently 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 li4ueyqown*0 g.89+e3)te; hfk h dhuaong, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently ligh*, 8kpbf9t nhins/ih9-xx f3atweight 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 fetbh- 3if8,k*n npfh i9sx9/ xaet 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 ofcq jb ck+lihu(fez3u,156 f x7 30.0 g. What ec6zuqbju3 xf k,5f+lhi (17cis its density?

  A liquid has a specific gravity of 0.357. t7p/fmabhpa/h uuclyr k8-,:x-- vi( What is its density?

  A brick weighs 50.0 N, and mv+q:k ue 0fd8or9l/pn easures 30.0 cm x 10.0 cm x 4.00 cm. What is the maxim:p 908lfnrk /oeudq v+um pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snows-.vo,ama(f0 ip,o bbyhoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) mq)z6 esxlk6 u*ust a submarine withstand at a depth of 120.0 m in the o6*6 k)x leszuqcean?

  A circular window of 30 cm diameter in a submbp:) dhu+1j4irlk*p yarine can withstand a maximum forceku ihl* pjyb+r): p14d of $5.20 \times 10^{5} \; N$. 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 b eqm5h g21sjs h9s gu7gqb/kxk;+8s 6300 kPa?

  What is the gauge pressure at ab/m )qkv 1vuqd qund y6tbh-9kp)psa-)(j x 04 location 15.0 m below the surface of sea? (The density of seawatp 4()ku)nvkphs- )j0uqxb y1qm bdt9qva-6d/er is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a locatijls92h9 iujc)b 1lh9zt w)z2xon 15.0 m below the surface of sea? (The density of z tjhs92li9)9lxhj )zw2 bu1cseawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on thm*ounfy2. fs ndb02*ee small piston of a hydraulic machine. The small piston n.y u2of fn**2bds0e mhas 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 of 5.0 cms(.,xgoo)a 2 z nkvsy;e3h0io and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to lifts,sh. ao;g0z3oyein2v kox)( 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 pid )5v/7 iiuiigston. What force nei u/gvii5d7 i)eds 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 its 9uit sasqd nk(69h/i/ large piston has a diameter of 40 cm. The lif9hs(/sn udi 9/tkaq 6it 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 elpe vugu+kgk2-s 8- .buoyant force of.--k s gueuv8p kl+e2g the water?

  An object has a volumeb8ax b gcm*r evu:w)(tef1027g yioe* 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 submergk-zh z2ht0/ bked in watet0 bk2-zz/ khhr. What is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold is ye7tpm:2l.7zv2 dvqh p9a. on;.h exz $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (densit 1oe (hz2cqe7ay = $7.8 \times 10^3 \; kg/m^{3}$) 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 immersed in w) k9mekatfpt12z, w *later. What is t1a,l *mt kzk9t)ef p2whe specific gravity of the object?

  A container of water kv3-6eja-0set f2e0nc:ga of is placed on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspendef j0s- 2oe-tan:0c3egvekfa 6d 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 wit/uy95+mhxk( o xk*gy yh a mass of 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 diameter 2.0 cm will just barelod6ga+ p4rzc3ii;(v )io o g s-mak62dy float in water. What is its ma)2giocvam 6oazgiikr6sd(p34 -;d+o ss?

  A rectangular box of negligiblcvd6um u12fc63ka n06rg . nfie 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 sinks in n uifa6m u f02d vnrc3.6kg61ca 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 thvt+ +y2na7lmme water. The weight of the displaced waterv2mt+ a+nym7l is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the p-jw.2nvepb i) r8xxghmef / :)/1awhsurfnmh)e/)8j/1v agwp eb p hxif2-:rx.w ace. What is the object's density?

  A 200-N object floats with three-fourths of its volume beneath the surface of t2kxgf81;7jv*,pyk t r9 zpcbnhe water. What is the buoyk871p fcv,gpxkt 2r9*nj;yb zant force on the object?

  A polar bear of mass 200 kg stands on an ic gs se721s(xxze floe 100 cm thick. What is the minimum area of t2esx(17sgz xshe 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. Fi 9ns ux:6ok;jynd the flow rate.

  Liquid flows through a 4.0 cmquw6+ l:/ reu8bjeba2 diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this restriction?b:u 2ub6ejq wear/l+8

  Water flows at 12 m/ xxymt 19(k(lzs 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 dr2c 8m vio0s155bi3vsp zkx1mvinking fountain with 300 kPa, if the fountain is 30.0 m a2smbv8vop0i3x5s k1mci v z51 bove the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tagzhc.a(9 afh10pk; upwk (wvy,p8mwkpe1m1* nk that holds water at a depth of 15 m. At what rate wilga1mv kwf py w1,0h1p9*(k u.;zphw(k aec8mp l water flow out of the hole?

  Water flows through a horizontal pipe of c6ohq5 ;y qmdt3ross-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. 69/+bu yr: bhunz 0il1k5snj b 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 suir+k/:zu5l9 b njusy1 b6 n0hbrface 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 decli(8h 8kgqvt;0f6 j mjreased the radius by 10%. By htk;h 60fjqjlv m(i8g 8ow much would the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are nsq;0 ebmef 3(+ubn.x placed in a pan of water. Tube A has twice the diameter of ;sx q.n+bnue 0( mf3ebtube B. If water rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of waterlo*r,mt) t 2k4p wr hc*pur0;f is 0.073 N/m. How high will water rise in a capillary tube of d,h ;trfc0*r ptluow)*r p4km2iameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius risvkjmhahh z qcx;5tz9)uw 8-+ p3 f:zv2e in a glass capillary tube with a diameter ofzk3hcf vxqh w2tmu;)p vzh+zja 598-:
0.50 mm?

  A narrow tube is placed vertically in, x cgy9uh p7/mahay;u)vvn;3 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. Wg, ;u ;n/97am cvvyyh)puhx3ahat 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 wi rph9 y15ir,e/cqv ;-vcp, ecbug4o 2mth a soap film formed within its confinegruvcv;5br4qm oe ceci9yp-h 1 2/,p,d 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 rectanvb9-mkb;r ad+z :fv)ogular 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 wate9v : ;k +robvz-d)bafmr 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?