The three common phases9y yq++da3r cs of matter are

  Density is

  Substance A has a density of dzmif6d0j6 h) $3.0 \; g/cm^{3}$ 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 followi8 yo-)3im1j i0q+av t2qnezgqda6 v- knb3i *qng is not a unit of pressure?

  Consider three drinking glo.xhvc4+aav-u.pn3 s) p no h2asses. All three have the same area base, and all three are fillnxa4.s- v2puoh opn.v) h3c+aed 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 holds less water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressurefaezwf - i+-.u(3kqw6/v ea vfs inside and outside a tire called?

  When atmospheric pressure tthc,nk4f7/k7t d6r ; 955 jctrallbgchanges, what happens to the absolute pressure at the bottom of a poo7ntt;rdcttrblf 7k,/gkhj56ac 5l4 9 l?

  You are originally 1.0 m beneathd3 ln/:2widg i the surface of a pool. If you dive to 2.0 m beneath the surface, what happens toddngi /l:2w3 i the absolute pressure on you?

State Pascal's principlexw ( a42:ya rqxohk3jjv zxwv9t8.,:r.

State Archimedes' princips4 trou*k9xo8 z5klm:le.

  $50 \; cm^{3}$ 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 in7smmek2 /b bf7to water of constant density, what happens to the buoyant force on it?sk/2m7eb fm7b

  Salt water has greater density than fresh watexp:.y*5a myrroh))w z r. A boat floats in both fresh water and in salt wary *m)poxz5w . hr:)yater. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water.lg4l. /tv -0cwqvnvj;j+d;gd A ship floats in both fresh water and salt water. Compared to the fresh water, the volumgqd/nvl jl 4d-.+v;; gtv0wjce of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Whereh-u :n*jc8.r9j rp vqe is the buoyant force on 89*qj-r.ecnhvru :jp the ball greater?

  A 10-kg piece of aluminum sits at the bottomib4:ij a2a (wt of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant force (2 4aa:iitb jwon it?

  A piece of iron rests on top of a piece of wood floatingo9lv )b:h 4a3v;vpg xs in a bathtub. If the iron is removed from the woo9v pvgl)vsa;4b h3xo:d, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits on top of, o0n:vxyzol0dn-o7 d 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 o, v dnx07nl-o0y:dz owater level in the tub?

  Water flows through a pipr56 9i9enm,xyfg g,p je. The diameter of the pipe at point B is larger than at point A. Where is the spin 9,5gpm, r6yxgjef9eed of the water greater?

  An ideal fluid flows at 12 m/s ti u k5,fnfe3c p+ d)u:tzq1m6in a horizontal pipe. If the pipe widens to twice its original radius, whif5tenm ku3)1zct pd6u+:, qf at is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe lyy9n qyd6o8e*9cen* narrows to half its ori9d9*n ne*y6e8 yyl oqcginal radius, what is the flow speed in the narrower section?

State Bernoulli's principa9acy9 u/hr c4le.

  Which one of the following is associated with the law of cee(- u u7+hqmkonservation of energy in f- ek(7q+uuhme luids?

  As the speed of a moving fluid increas09q26gzidv n qtdq.1m 3on9vaes, the pressure in the fluid

  Water flows through a pipe. The diameter of)2 fdqirou8 v7 the pipe at point B is larger than at point A. Where is the water pressure greatesdo vf728i)rqu t?

  When you blow some air abo 7*48ax iki.q4ffa1szlzc8v qve a paper strip, the paper rises. This is because

  A sky diver falls th8jfdm3- vt b8l4;lwwlrough the air at terminal velocity. The force of air resistance onwml- jf 8 8l;btvd34wl him is

  Two Styrofoam balls, of radii R and 2R, are release x ,3a+we: ahwqpmouqt/a 3u(zc1(.ffd simultaneously from a tall tower. Which will reach the ground fiqf aq(me.3tc+w fupaoh, 1 x/wa3 :uz(rst?

  When a small spherical rock of radi7tn udnvmt7-(bf e, l1us r falls through water, it experiences a drag 7- l,7 edfmtv(n1bn tuforce $F=arv$, 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 oneoxxgswra:9/ x*j;:q*dr7 fb6q 4rxy the flow of fluid through a narrow pipe? That is, if you r6* qyb se:9xa xod4j/; r gw:7xxq*rfmade a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B ha5i8ks 0;vm auwev+t j/tji)r*s twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the leng8 jutr iki*0ws/vat;+5)j mevths 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 as long -8p2xq6qaju s7sbp0 f (v9ubk 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 flow rate in pipe A?sb-fs0 2jbuq v9xpu68aqp(k7

  When soup gets cold, it often t msr+oqi7col x7: ly30astes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surfacex3lsiqo7+ m0lc o7: ry 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,-/cmse ez +l9j/ sb2xv the water rises to a height h. If the diameter were half as great, hoc/b-jvxm+lzs9s 2/e ew high would the water rise?

  Certain insects, such as the water bb3wu blv0k+d93te 6 tmug, 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 is twice as long, twiu e0kttdwbv m963lb 3+ce as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweight thws87w(wzlp(oo4 y 8esfb53ziat they can run on top of water without breaking the surface tension. This is possible becausey sz zfwpeo(37 4ilw(85sb8ow 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 2.00 cm x 3.00 cm x 4.00 cm has a m ukdl:co79- 8fwhs+wyn, ep5 mass of 30.0 g. What ip:nof, hcm85+d ke9 l ywws7u-s its density?

  A liquid has a specific gravinpeo1x;qqbh2 mg0tn 66* jvw0dvm) b-ty of 0.357. What is its density?

  A brick weighs 50.0 N, and measz sz-5/3fne50tp yen m8 k+boxures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal8en3zx-p+ b/oynft 550semkz surface?

  A person weighing 900 N is standing on snowshoes. Each snows3mqokpt uk))i:g2 6gthoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a zjz*aw3 s)) 15osx8 yfzfy9 jdsubmarine withstand at a depth of 120.0 m in the ocean)sy5*9 3 zy8jwo f1xfdjazz)s?

  A circular window of 30 cm diameter in a submarinz;;jo-u2mv 8m*e zuy9t+d qfbe can withstand a maximum force of e*qfzt udy9 m j8mu zv-;+o;b2$5.20 \times 10^{5} \; N$. 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 ahnpcb mmhz f*v1/4.p: bsolute pressure is 300 kPa?

  What is the gauge pressurel3(j m8- keksxsp )/-xgu*t f1c3x tqlb tmj,6 at a location 15.0 m below the surface of sea? (The density of ljxkm-sxt k t / j b)t6ep-gq3x,* 1s(c3mf8ulseawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute presalf6pp n;4/mu sure at a location 15.0 m below the surface of sea? (The density m; alup46fpn /of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The small pisz3qjy 4vd4zi+ tov d4zij y+3zq4n has 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)u i6aiixrs( 2j7(o zy small piston has a radius of 5.0 cm and the large py oi2z)76si j(aru x(iiston 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 large piston?

  A 13,000 N vehicle is to be lifted b p fhlq+jsfx0. 835- by3mykhdy a 25 cm diameter hydraulic piston. What force nepxfyd83m ylh .5bk-+ s qhf3j0eds to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hg 8/o fbc;l6w+)f guwrydraulic lift has a diameter of 8.0 cm, and its large piston wfr) g/f;wl b 8g6cu+ohas a 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 air and 30 N in water. Wd97+ n sjpfqoi;q:2fduy j1c6hat is the buoyant force j29qfs 1ju+7;oq d:dycpin6f of the water?

  An object has a voluh qq*pgmd5evk *ak4 ovq .o96-me 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 su 20 etz*r ko(fckjnk4s ..i-ujbmerged in water. What k-zor(tc2kfji*. kj 04.us ne is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of golhzu k2wy61 hlb hj w +-)hy62f1w9uusbd 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 uk)-)kg4 8js8 w tvmoy(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 wh xedo65 7ha4wnen it is immersed in water. What is the specific gravity of the 5no h7e46xwda object?

  A container of water is placed onxxm 5ymc-ly2f4m* md l7*laz0 a scale, and the scale reads 120 g. Now a 20-g piece of co 5 ymc-lmxmml7x2*0 d lfz4ya*pper (specific 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 of 1.0 kg and dena.tpmk6mt*)d 5c)d ycsity 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 barely float5zmjgep u.h*a/ zh 3t6l0k2d x in water. z0zpt uxdkl 6ej5h.m/2 ga*h3 What is its mass?

  A rectangular box of y5odcslusfx x5,,f 12negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilo2y1oc5ux xdl,f5s,sfgrams 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 volumebv u 3co)qnumi27u7p - beneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight 7unbi72muqp )ocv3 u-of the object?

  A solid object floats in water with three-fourths of its volumes(,jezgmy gq64i* u6ilky4t 5 beneath the surface. What is the object's densit5 4ytml6(g isgqi,z e6j*ku4yy?

  A 200-N object floats with three-fourths of its volume beneath the /y.fv b( dqet1surface of the water. What is the buoyanqd .(1b /fvteyt force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cmm.b2.72sfa 5xhqzrst thick. What is the minimum area os.qtb h2m7.f zsa2x5r f 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 diametea1dkb zmp;/forn,ve ,yv rt 3s842f7 cr 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 ce,k t:hx -wo+;k*w3t qea-wwom diameter restriction in the line. What is the veloci -ww eeoawkxt oq: k+hwt,;3-*ty in this restriction?

  Water flows at 12 m/s in a horizontal pipe wiy k. e vdkt 2s3v/:j.,oi-uqwx0z0fqfth 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 o+v+ cdzocrhbp))wkcc9(; i/ supply a drinking fountain with 300 kPa, if t c o/9+dcp oic+bkh zrv)c);(whe fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water sto/ky un h*5b*nbrage tank that holds water at a depth of 15 m. At what rate will watern*5bbkn*h/ uy flow out of the hole?

  Water flows through a horizontal pipe of cross-6rmv+y h:b3d-yn u,ut 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 o; zepp v66y0rvf 0.20 Pa-s. How long would it take to pour 4.0 L o0p6vv6;ez r ypf 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 builpfwwpazr ;thkb.*h5:*k 1d a2d-up of fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased r5pwfh ;zt1pk2: *aa*w.kd bhto maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A hanl- v6tm yl.;ts twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rism t.lvl-6ty ;ne in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise:m/2ue s* 54ozcz yxxr in a capillary tube of diameter 1.2 mmo/zr4xm*u2x 5:ez cs y?

  232

  To what height would water at 0 degree Celsius rise inmv2z s+dj 5uk( a glass capillary tube with j (2s5muzdk+v a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, aio:s j88b* bhirzy5u 8nd the water rises in the tube to 4.0 cm above the level of the pan. iuzyi 85hs:j 8o8*rb b 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 column in the tube?

  Consider a rectangular frame of length 0.120 m and j8 dfj/y .mg+pz(1amn 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 form +dgjmy/n af.(1j z8pce does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm atyouzsg3bfu5i*: 0 e,r ep.xi. 3ut6cm 5x5tw nd 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 haszoue3cxty..5g ,xt 6ip5:ster 05*umwbfu i3 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?