The three common phases ofmj 9knn u-yi-h7s 1(xx matter are

  Density is

  Substance A has a density lbnnb:y :pb80of $3.0 \; g/cm^{3}$ 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 un ,;9 *1c0em*uuuj t +v-xlss edz3wfxpit of pressure?

  Consider three drinking glasses. All three have the same arezh5j-0v mom ed+h9 -rpa 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 som 9m-rde0hhoj5v p+z- 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 tsb (;rb kkdu;k/;0et eire called?

  When atmospheric pressure changes, what happens to the absolute pressure at t4.u x(oai8wus , l1uksn /(vbkhe bottom ofu uk, kb l.(os8uis/x(wa4v1n a pool?

  You are originally 1.0 s4f:1-ltnhvb ) d1a lcm beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on1cdln f:vt1)hbls4-a you?

State Pascal's princi(agr1kl, l.zp ohe6/fple.

State Archimedes' principle.x;yi8 bz3ixe1

  $50 \; cm^{3}$ 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 has:cfz9u 8q.ab(xx) g zppens to the b zbqs:uc.z8xfgx 9(a) uoyant force on it?

  Salt water has greater density than fresh water szh6+a9mo.e5lo8 z nk. A boat floats in both fresh water and in salt wa69 n+. h azl5ose8zkomter. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A p xmqf5*n6mre(l;/*b+prnf f ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt wate fl /r(pne+rmf5* 6pq xfm*;bnr is

  A steel ball sinks in water but flo r8m wv63p2layynf5 le.z c5c:ats in a pool of mercury. Where is the buoyal. cy65rmayl:cf 5zp83 2nevwnt force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, hgy03ce n+ tv*4oc4bm;g (qzkright next to a 10-kg piece of lead. Whqnm;o * g(3z ktgb+ev cy440chich has the greater buoyant force on it?

  A piece of iron rests on tocu-gh-mnvfc: f6,z3 q:ihu: sp of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water level izu--f v, uq:fh:cnhis:m36g cn the tub?

  A piece of wood is float+p* xpgwm/qn )ct3+nd ing in a bathtub. A second piece of wood sits on top of the first nnmc/t*wd ppg +)q3+x piece, 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 the pipe at point B 1h+4jpk1p 54*dwr qc exyz uo;is larger than at point A. Where is the speed of the water greaterd 4crhep15 ;+jo4k xz*1yq uwp?

  An ideal fluid flows at 12 m/s in a horizontal p1c7u:zbwiy9 dipe. If the pipe widens to twice its original radius, whabz dyi97cu1w:t is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrow7l7ym )cy;bjes to half its original radius, what is the flow speedjly y)m e7;7cb in the narrower section?

State Bernoulli's princip q(40oliy-v bst82pq wle.

  Which one of the following is associated with the law of cvl6-b 955zpt ) e98wfh fgfcjxonservation of energy in fl568efxw 9fpbl-z g)v9 htc5fjuids?

  As the speed of a moving fluid increases, the press e**pj)l cda6jfzs ej0gh4*x (ure in the fluid

  Water flows through a pipe. The diameter of th;h 9u: pd u :+8vwkh.zx2jsmqj93asfie pipe at point B is larger than at point A. Where is the water pressure greatest? +.vzjh9f u x j 2si3:ahskd;p:8quw9m

  When you blow some air above a paper strip, the paper rises. This i.p-2iwq2 vh*g4bvpuks because

  A sky diver falls through the air at terminal velfs v/,me5c8d ml.hna-ocity. The force of air resistance m-.vamhl/ce8 fs,5 nd on him is

  Two Styrofoam balls, of radii R anh x..aimm;8ujd 2R, are released simultaneously from a tall tower.j ;u.mh.amxi 8 Which will reach the ground first?

  When a small spherical rock of rax0h9,l9g- swkk)luw adius r falls through water, it experiences a dra)9-0wxh alwk9lg,u ksg 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 ntug. ,o.b 1n:zhm rz/larrow pipe? That is, if you made a 10% change in each of the q tg.zbonl/ur ,z1.m: huantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diame)gxz,;ihh1- unuab 5vy9cohwyh:*u:ter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the floxy9 n:u uabu) zh1i;*:-whyohc h, gv5w rate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have fd6f 1v 3aw1cmh zjmhl;5z*9q the same diameter, but 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 ic1 qlh; hfwd 51 963vzzfam*mjn pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it ofteb/k2(1coyx o4l -xevh:.i qbrn tastes greasy. This "greasy" taste seems to be associated with oih kx(v-ei.r2:1xq /lo cyo4b bl 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 u1t3 mv 2ccfc*in water, the water rises to a height h. If cc3vu*2 cm1tf the diameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, mnj.+pgx0mces)y71 e0mp ;vc are sufficiently 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 isnj emxs)pe+c1 ;7vmcpmg0 .0y twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are suffij 7sep spe 5qvv(: o+ 6cf0u.7o8snqkdciently lightweight that they can run on top of water without breaking the surface tension. This is possible because the water, dueujo7c0s:n6+7vdqkpfpq8 vs5(e os .e 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 of 3hgxj 1sg2lxynwq/ krs3r;mc5;d3/ e: 0.0 g. What ih3smj/xk:r ryqg xwd 3ls51;e n2/c g;s its density?

  A liquid has a speciy *e +i(0z:f -3aveak5nh htcsfic gravity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm xc5 rh tldt*kd.j7v(2r9 ba +zv 4.00 cm. What is the maximum pressure it can exert on a horizonta.(db dkz rt9v*vhtjc5a7 r+2ll surface?

  A person weighing 900 N is stand ,1uw+fh/ u kpqva5jx,ing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine wwnch*y bc o2+;ithstand at a depth of 120.0 m in thec;*yw2hboc +n ocean?

  A circular window of 30 cm diameter in a submarine can withstagfscnnu,q- 3 5nd a maximum forceu-,c3sg nfn q5 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 pressf s3zcl+ .*kwfure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the / lb3pk1(dtlf5 dkv1fsurface of sea? (The density of seawater ispkd k b1d/(l vft3lf51 $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute preyq r yzsq 1k+05 0ael.srl9g1assure at a location 15.0 m below the surface of sea? (The density of s g srry1yks5l+aa0qq1 z9. el0eawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The sma+)lyar8el r d+ll piston hasl )a ey8rr+d+l 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:nyb r7 45we68fjtbo l 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 the largw8fe o45ynbr 7:6tbl je piston?

  A 13,000 N vehicle is to be lifted by a 25 4ozh0+hbez:7t-nw g z cm diameter hydraulic piston. What force needs to be applied to a 5ze7nh tw:z4bo hgz-+0 .0 cm diameter piston to accomplish this?

  The small piston of a hydrf . lh:-qyahm4cb8x w(aulic lift has a diameter of 8.0 cm, and its large piston has ah4(y:8cfw hlmaq.b-x diameter 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 af4u/75jzyhpj)yt4k4 f 41ezon q uwb/ir and 30 N in water. What is the buoyant force of the wauz41tp/ fq4bze 5njfy)hyo74 /w4kujter?

  An object has a volume d (/nbr jh68qjof $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solidloi4n we;r y1q +9,scf iron is supported by a string while submerged in water. What is the tension in the string? (The specific gravity of iron is 7 ;swfc91noiql4y+er,.86.)

  If the density of gold is vkz9v7um o(,b$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (dlmt0kcm :s1xw: tgo ka0565aoku1 x,uensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 7jz:prdit)u v fk4/.s N when it is in air and 6.86 N when it is immersed in water. What is the specific7d z.)su4 tj /rfk:ivp gravity of the object?

  A container of water is placed on a scale, and th1 :w2fn321 mmyenbfp/ (hoyffe scale reads 120 g. Now a 20-g piece of copper (sp3h b21fe nyn2( 1/yfof wp:fmmecific 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 onl1 ak m5+bcs-0sd6rof 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 bar0tlt 3z;lv+.iks 4fnlely float in watl.z n l4i0k;vlf+ts3ter. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m )nx k9 knmwg20wide, and 0.50 m high. How mk9m) nknx 0gw2any kilograms 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 the u9arslz gt 7qy*y+k w9idg,7 7q,c4g-u rcn2mwater. The weight of the displaced water is 2000 N. What is the weight of the objectz79kd-cnr, +,i r4q g9ay*wtm7qsg ul7cu2 gy?

  A solid object floats in water with three-fourths of its volume b06tah2 x-eo tiv;: o xjbinc44eneath the surface. What is the object's dens j-i 2ttai;vx0 b4n6x4oe o:hcity?

  A 200-N object floats with three-fo/sbx m)5oh/ tjezgy+2urths of its volume beneath the surface of the wate m2s +xe y)/h5gjz/tobr. What is the buoyant force on the object?

  A polar bear of mass v eyagyz,hq-4 u/ /tec1q;/x a200 kg stands on an ice floe 100 cm thick. What is the minimum area of the floe that will ju/ czyqvga1- eeyh /,4x tu;aq/st 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 r6,e bodh.:4t . 2a pfmxb0czllate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm di pxy09 4 eht78q 9tr3o zgvwh9cj-rsj-ameter restriction in the line. What is the 98jttj--r93yx rs90oc v 4qghz7phw e velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressbtgr;1ydv j/0 ure 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 fountain9vfn9tntmc/ cl )(jyrlwe2) * with 300 kPa, if the fountainejttn/l c*)() 9rm9c vlnyw2f is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottoqyevxex1jgw/ 9qpxr+h*)7 h *m of a water storage tank that holds water at a depth of 15 m. At what ratexperqhy*/x x9 1 gjq7 +we)hv* will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sect)4-o f-xke mzdional 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 ll4vij/9y l/ dga7)gp q ji6za7ong 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 parg7i j 7/9v dagj q)lpaizyl6/4t of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an artery,y s gsudd.(p gh1w+:7f,v d(cclxd9x decreased the radius by 10%. By how much would the pressure provided by the heart have to be ,wf1 usdd:pv.dchlg+ysx x(9g7 (cd ,increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tnzx0 35pfr 86taq5ff dube A has twice the diameter of tube B. If water rises 24 cm in tube A,a5tf6zf8xnpf 3qr 0d 5 how high will it rise in tube B?

  The surface tension of watebl9r; ( h8gyosnp)ekw 2nc7w/r is 0.073 N/m. How high will water rise in a capillary tube of diameter 1leg p/k rwnb h9y27o;( 8snw)c.2 mm?

  232

  To what height would water at 0 deg-pd 1,/ozfg n6i3pdbjree Celsius rise in a glass capillary tube with a diameteo d/i 3d1-, 6jnpgfbzpr of
0.50 mm?

  A narrow tube is placed vertically in a pan o( ws9i e,/hb: w:,t8j wvthwywf 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. What happens to the height of the liquid columnw,tiej:whbs 89,hv y(ww/w: t in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a soa3cl6e. hvy/dz,, wr +kcko qt4p film formed within its con.3+ ,6ckdcytkh ow4erlvz /q,fined 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 rectangular fram *fiql*ot*+k ze 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 water has surfacf ol**zi*+ qkte tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?