The three common phases of matte:ol: olm m.uism 9/t.pc- d.lwr are

  Density is

  Substance A has a density351a9 haw80gxj/ jbjbppuh.c 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 i;tz jwm.wn/6 .v kh1lps not a unit of pressure?

  Consider three drinking glasses. All thrmr5(d 9n zb ;u(3gm1u p: za lfpwd59iks5ca;yee have the same area base, and all three are filled to the same depth with water. Gla15zk9yrb (:u3l55fu p smw a ;pd(a9;dm cznigss 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 and outside a tire called?y/y d ,3uzleb, lp7-jx

  When atmospheric pressure changes, what happens to the absolute pressur9+ i ugnseby8f)x9h5(yowu.re at the bottom of a poo wruu+(8gb)hy fn95ye .sxoi9l?

  You are originally 1.0 m beneath the surfacqqf- wi b4v 5c((n2,k.zthon ue of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on- 4 (u,n5.hbw(oc2ikt nfzvqq you?

State Pascal's principtt(lqptu *- h.viwyzh, s(1 o5le.

State Archimedes' priykoip 6wc19 cmr(6b ;*mvm)pmnciple.

  $50 \; cm^{3}$ 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 constanwg3r)7c 8cvm. ww,e wkt density, what happens to the buoyant force on w3 w.m,w7rgk cewc)v8 it?

  Salt water has greater density than fresh water. A boat floats in bothy ubq2 87-*+nqwfrsmj fresh water and in salt water. Where is tbsy *mrn-8jf72 +wu qqhe buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fre ))p.3qx hk;pp24p;agl zf lposh water and salap2)fx)3 pkllg .ppzh;p4;qot water. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in ai25 *ptc ap s(f6n2fwt pool of mercury. Where is the buoyant forc(p*ip2 6t f 2t5fcanwse on the ball greater?

  A 10-kg piece of aluminum siqg (crbm2 u );mk8fe;tts at the bottom of a lake, right next to a 10-kg piece of lead. Whi;2kemug f(t )qcbm;8rch has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. Iz eg4e :q/tis1f the iron is removed from e4q t/iegzs1:the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of woodlwcgi9iprs87eyiv8j ,ve93 ag ) /d/s sits on top of the first piece, and does not touch the water. If thsrj pcs y3)78w/gi9id89 elv/gia ,vee 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 poi34:rns3n k ;vq*nt hyrr4hu b/g h2r+wnt B is larger than at poi hghynrur v:s kt r3*q2 +43w/b;h4rnnnt A. Where is the speed of the water greater?

  An ideal fluid flows at 126x0;,ummgu ws m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider wus,mu ;6mx0g section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows to halfhr/z(pqrs wn4ec;-p; its original radius, whe4-r/n;zcswqpr; ph (at is the flow speed in the narrower section?

State Bernoulli's prf1;ioyg8; 3 vmjce12gpg8:ruu 1x3 etk5 jcihinciple.

  Which one of the following is associated with the law of cke2io 7k(,wuoe p+r1 ponservation of energy (2ek7,wuok iro1+pp ein fluids?

  As the speed of a moving f/ +6sg og , p0awghvef;c;pjh-luid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pi8,cv8dj f,fug0f73 t 4v c8nuiwcqr0qpe at point B is larger than at point A. Where is the water pressure greates,v7f4jc gv08t 8 i0dqw38cfru,c n uqft?

  When you blow some air above a paper strip, the paper rises. This is becau r xjqry)0zlys9)hs93: p br7:uylo6cse

  A sky diver falls through th.e)3e)nt:sru;f r9qg13wjw(8ep ;bkgn rh jd e air at terminal velocity. The force of air resistance w(r9e;wj r;1jdte8.kqh 3g )usen3gn:rf bp) on him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneoz2 v0 362ngy+yafl 05tvg il7nu3eof susly from a tall tower. Whic ln zegv75af 6l0u y2tf3v0+ oni23sgyh will reach the ground first?

  When a small spherical rock of radius r falli/4zbl xinfo w1x)z4/8k hhjfw 1w*y-s through water, it experiences a drag forij/f *xwk y) 1z bxh 1-f8w4hin4zo/wlce $F=arv$, 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 5 efq-gysfv m/7-e90 c5 ljtqoon the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which wousylqefm5 f0v- ej/5 gto9-cq7ld cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the dr;rpda4 wv8*oiameter of pipeo* rwd4pv;ar8 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 rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B qn1jh /1stvr 4 .ktup;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 ts1hn r4 v/jkp.qt;u1the flow rate in pipe A?

  When soup gets cold, it often:22onm v y5*z.pseyikgxwv 7 na.*f4r tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the sur5 x y2.4vo:r ym*nsg7einfzp .* avwk2face 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 waterf l )47aiyfgp8 o18yai rises to a height h. If the diameter were half as great, how high would the a)4ayii 1fly78 pgof8 water rise?

  Certain insects, such as the hqu s,qq99i27ta-z m yr /doj;water bug, are sufficiently lightweight that they can run on top of water without breaking the surfd qtq/7 oishj 9z2am-u;,qry9 ace 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, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweqpkn(w: 0zmp5w) 0gdwight 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 upwapdg wq)(: mn0wk 0pwz5rd 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 cmgl smjw7 w.qxu-v1 2ley:ic9* x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its density?uwil7*xq1je :v 9yc 2gwsml-.

  A liquid has a specific gravity of 0.357. What is its deu,puhh9nc:puh o26 /b nsity?

  A brick weighs 50.0 N, and measures 30.0h53mwcg2nuo ar p/b v(z*)ot7 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it)(/5ovh7a*r t gczpo wn3b2um can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each vd*y0k kxxfa:74asnvjs5o msm;6uc4k;,g h 0snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand xkabxtz ./ox;a h3,yk( o y7l+at a depth of 120.0 m in o7 a+yl kxxb/;3, ykaox.hz t(the ocean?

  A circular window of 30 cmyn.:sgh g3 x1t ci;vbaljd,;: diameter in a submarine can withstand a maximum forcei;ycs,jhgv;.a:l ntbxd :g3 1 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 presq(sydb. o46fgsure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m.nxa w lt-zr20 below the surface of sea? (The density of swl nat2z .-xr0eawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface ofik/0z6hfs1tc le; o*o sea? (The z it0el;f sooc1kh/* 6density 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 sk eorho2+kl e5i1m+a4mall piston k41a2lro+khiemo+5 ehas 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 cm and the la xlt9yz98 w4xtrge piston 8yl9wzxt 9x4thas 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 by ak2;.qzpa hs:w 25 cm diameter hydraulic piston. What force needs to be applied to a 5.s wp;qh.z: 2ka0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its largej rmc9it. eqf;/xk58exw4jgsv+z7 + z piston has a diamets z7jmcjx 4. ;v5gt+zf exr9q /+wki8eer 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. What is the buo24b0 t.snrwhd yant force of the .bhdrt2 n sw04water?

  An object has a volumz )ebkxtoyh fa.55;1 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 si c)b;j.wg 5foupported by a string while submerged in water. What is the tension in the string? (Tj) cf;5ig .obwhe specific gravity of iron is 7.86.)

  If the density of go2q 0ti38j*rfr2xit* yu,gq pl9vi+c wld 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 (densi;ai czkf( e*y5gc/ek:h8/ jdv ty = $7.8 \times 10^3 \; kg/m^{3}$) 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 a;9swj wa+np-m d v92cimmersed in water-jpavac9m2d 9+ n; sww. What is the specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Now a 20-g0s v :nyewereuc++) 82kop1ke piece of copper (specific gravity = 8.9) is suspendep1nwse0e):rc8okke u e y+v2+d 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 denw3* bdqrv k11eq6a .dtsity 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 barelbojk, k1x(ve7 y float in water. What is its mass?vbk ,x(k1e7jo

  A rectangular box of neglig2bebld; ( mx2hible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms ;b2m2beldxh( 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 hal,aqnnli(1v4 m a+le(gm r. uu*f its volume beneath the surface of the water. The weiune+l nmamuq .(( arl 1i*g,4vght of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats iltl t**drj5k.4r hk *4c9nhy 0g iy.5r uuo+amn water with three-fourths of its volume beneath the surface. W4*r 4y thit 5jn0r5k .ul+*9 dagrm*yc.lo khuhat is the object's density?

  A 200-N object floats with thzpjz() c9-rn jv nw2e,ree-fourths of its volume beneath the surface of the water. What is the buoyant force on the object njz2,j- rnc9epv)zw(?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thi b+bh,isu(26t3z *ac , dlelljck. What is the minimum area of the floe thi tal *j(6+cd3sl, zub 2b,helat 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/czl,o( n6c n *.dolhkuutk+()s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. The5p)f /omp j)xixoy/ uh,,qm 5cre is a 2.0 cm diameter restriction in the line. What is the velocity in this /xco, mi)f jhm 5yx5,/q)oupp restriction?

  Water flows at 12 m/s in a horizontal pipe wit5vo+c)pz hou 9h 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 suppf5s.mln qd -upt b.-5uly a drinking fountain with 300 kPa, if the fountai-f5mdlp-tb. q.u 5n usn is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that aj -3z-:5 uqk7v-mtrih(ibkpholds water at a d ij:p(--akr ubtiq375-kzhvmepth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectional are y(al,ib5 kc n(2ppy 1tu1ho:ra $10.0 \; cm^{2}$ 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 visa q8 9o-h u7pe5iy+fuscosity 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 iap8e hfqu uo-s+iy597s 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 ybwy(mqf/s7u 2tr6gd7d2 *chl jte- - tissue on the wall of an artery decreased the radius by 10%. By how much would the-scm e726hjl2 y/ dtd*rty( 7-uqgbwf 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 haso,ybzh (+rc0rt2tzyxdl8 +4mk2v + gs twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in t8 rxtdy orck,0m2v+g2b yzzl h+4 +st(ube B?

  The surface tension of water is 0.073 N/m. How high will water rise i ., gqzzduyk0 yyv.,gtlsr)30n a capillrz,d0 g.3)vugs,qk0 lzyty.y ary tube of diameter 1.2 mm?

  232

  To what height would watl, yy iuwfou11/q0)ee9t :w xher at 0 degree Celsius rise in a glass capillary tube with a diametuw q) o u9:fyw/0th1exye 1il,er of
0.50 mm?

  A narrow tube is placed verqzli tk4ji51l 0xuf, 8tically in a pan of water, and the water rises in the tube to 4.0 cm above the level ofl8xlf5z ui ,0 14qikjt 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 column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.68/ovtef 5i. zk00 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much f/ f.5iek8 tzovorce does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm andq1i:-x3pgq2zsuf-94 t crq iqjch7d9)re 3lz 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 surface ten7e- dz-1 :lqs )rq9icq3u zci f2hqtp43xj9rgsion 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?