The three common pha2 t 8o2 a*kie1vcjdl+qses of matter are

  Density is

  Substance A has a deq5:)p mwjy1vp(fh)k1kbag n* l*iz o 2nsity 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 ( rg8z;5 k*jbixfzlz,bx;sc-s not a unit of pressure?

  Consider three drinkin(e(i4syou74gnd,.sdo p sd0 ug glasses. All three have the same area base, and all three are filled to the 74.n dipdo( segs(,ou4 yud0ssame 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 pressurer7qx du.a6a c26xt.i y0y dp ;)5qblcgs inside and outside a tire called?

  When atmospheric pressure changeq6q) b(wf9hd:cu iq7v(-w erns, what happens to the absolute pressure at the bottom :qwe(qfw vq6(ubi9h 7-dnc)r of a pool?

  You are originally 1.0 m beneath the surface of a pool. If yowka 1 up *r5a:mqm;fm 4y)z,ubu dive to 2.0 m beneath the surface, akmrf*;q mu4ubpw : )a15y, mzwhat happens to the absolute pressure on you?

State Pascal's principuf h:wwo6*1p nle.

State Archimedes' principleacua+m;1fla+ 8jrr: e.

  $50 \; cm^{3}$ 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 atpz1xe+0 0:hth /qbmdeeper into water of constant density, what happens ttm h0:qxz01ta/h +pbeo the buoyant force on it?

  Salt water has greater density thanru68 vt2 didv3cwjt), fresh water. A boat floats in both fresh water and in salt water. 3vdwt u 2di,8v6 trjc) Where is the buoyant force greater on the boat?

  Salt water is more dense than f8 je ./ 1yygrgl,pli(yresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt watej 8/y(1 ileyrygp lg.,r is

  A steel ball sinks in water but floats in a pool of mercury. Whe 6f).me0v kco9w;he uere is the buoyant force on the ball gr6. eme 9hvk)ue0co;wfeater?

  A 10-kg piece of aluminum sits at the bottom of a (i qct-m /.ycnlake, right next to a 10-kg piece of leaytc -nqcm /(.id. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If the irn6:6t;t n oq) n5j9fzmy. ,p-zypfc cvon is removed from the wood, what happens to the water level in the tub?n znyf66c m,zc5vjt tpoyf).: ;nq p-9

  A piece of wood is floating in a bathtub. A second piece u2kfpty; do :0plvs5x7pa7eat89 *je of wood sits on top of the first piece, and does no fuppol;aj:ky 8v2e9ep 7 taxd*75 0tst 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 /bc*aktfe-5ze7 zdb1 at point B is larger than at zkzt*/5fbc-1a7 bed epoint A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/rg p q3bk.:a6qs in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider section?q:a k bq.pgr63

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows t (3mizqiow) y/o half i)qyi/ zmow3(its original radius, what is the flow speed in the narrower section?

State Bernoulli's principsb3xbbv9w q9 0b g8r (jmn*3er8jbue+le.

  Which one of the following dahjca / yj1:3is associated with the law of conservation of energy a3/y a1c hjjd:in fluids?

  As the speed of a moving fluid increase+l nfr pqqz,+dk70 vvy3v/m;is, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at ptxk 0g yot.;fy)/ k4aaoint B is larger than at point A. Where is the water pressure greatest0;xa ky 4go/yfa .)ktt?

  When you blow some air above a paper strip, the paper *yr qg, 02brlyrises. This is because

  A sky diver falls through the air at terminal vel6x qicb6l/ 6geocity. The force of air resistance on him is6el6 g/qxbc 6i

  Two Styrofoam balls, of radii vmiig56rll+ t6 eu*;rv5 :ejv R and 2R, are released simultaneously from a tall tower. Which wilgvve 6ir:; 55llrjiue* tm6+v l reach the ground first?

  When a small spherical rock of radius r falls through water, it experiences a211z4h ai)q2/bat egdgc-zim drahma a1/z) 42qitg ced2-gb 1zig 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 f9rane t1 md:7sluid through a narrow pipe? That is, if you matm7d: 9re as1nde a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the.-gg p tic*bt k8dk(4v hi-cx4 same length, but pipe B has twice the diameter of pipe A. Water underct xhk 8-* iibk4t( .-g4dcgvpgoes 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 4tkp 4o)j .4egdjanya*/m2m rhave the same diameter, but pipe B is twice as long as pipe A. Water undergoespk mmta4ejj.n4 24*gyo/adr ) 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?

  When soup gets cold, it often tastes greasy. This "greasy" tayyyz w9ue-iu4q e) m;jwi 3b0/ste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. im0;wbj -ye4)9zyuuiyq e3 /w To us "physikers", this is readily explained in terms of

  When a tube of diameter d is plac)x,uuzzuq2 tq7 bc(h ,ed in water, the water rises to a height h. If the diameter were half as great, how high would the water r)ucxu,hz(qzbu,q 2t 7ise?

  Certain insects, such as the/ai n,hsmrdf w0v:5,i(i2c wrcjo1 p; water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. Water bug A has weight W. iwirorj fcchn, v5s mi02:a,1 /;p(dwWater 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 w,*xzok s+8kh bater bug, are sufficiently lightweight that they can osxh,b k8*z+krun 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 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.qcygeu.-+uqhw z,i f)p8p -avcn)j5 .00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. Wha8a)vjc5gi, q p-.p.e-qz+f)u un yhwct is its density?

  A liquid has a specific gra6qm/xfg,wan2+f : g9etsuu:w vity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 34 -(gta )olo.fvw .fty0.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressuret-) v y.of fw.t4glao( it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowrr;6+2 fjpw hv-p xs4oshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstanlxa(v.yvyn(yf12 e* r d at a depth of 120.0 m in the ocean(rf2nvyey1vyx. (*l a ?

  A circular window of 30 cm diameter in a submarine can withstand a maximum forfajc3 ,jpm 97zkg (r;rce ,7p;zjaf 3c(j9mgk rrof $5.20 \times 10^{5} \; N$. 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 zm2y7ffn2 oky1,pnm 4 is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surfacn1 b2z(-9 le(b2gtcd4g cgprh e of sea? (The density of seawa(9gt2 n glh-ez cd2r(1bg4 cpbter is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface of sea? (T/bisf z*g zf36l ub3w)3n+gj mhfbg3nzil6j ) 3uz +w 3fgb*sm/e density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic mo5fsez 3ic/ufm g11b)achine. The small piston has agbi/fzsu)m1f31 ec o5rea $2.0 \; cm^{2}$. 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 aog*t ( t,g5p(a,abldl radius of 5.0 cm and the large piston has a radiuso a*,gp(tl ,tlg5(bad 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 a 25yy2eo )0t* zdl cm diameter hydraulic piston. What force needs0zd* )eloty2 y to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of 0 ,zl+a,bdro 2g-5mipiauio. a hydraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40.,rbdoz20aa miu,5l-g io+ip 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 ain7csw;xgk/ e o/)5msbar o:/ao e 40jtr and 30 N in water. What is the buoyant force of ocx a;w e/:mnj7a)/ 0tooe s/5r4 bgksthe water?

  An object has a volumem0l q 9p3qa 4f9oyn9htgc1sq; of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid ironf 0k28b :vj971nmso nbdurf0i is supported by a string while submerged in water. What is the tension in the string? (The specific gravity of iron ik7 b:uvf b9n1n8 m rji0s0odf2s 7.86.)

  If the density of gold )m2m6doo cb6uf ik2 /sis $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel subm je;chwp fc/sspn82f3 e*4 ap5arine (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 i r. l7wybdy;,vn air and 6.86 N when it is immersed in water. What is t ;yr7d.ybwl v,he specific gravity of the object?

  A container of water is placed on a scale, and the scale readpp nn7/wd: z -4ns1wo m6ekwv*s 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread -sp p4wdm vn1kne z7w *6:/onwand 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 density h-pldzm*nzpg +ss2n03ycs3 gif5+r. 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 2watz5 f 99f7hdm go8(iv -9yxexh3wmjust barely float in water. Wh9w(f9iyevxw73 aghdf -8z925hoxmt mat is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 c6ihii w ;fi48n+a*xqm wide, and 0.50 m high. How many kilograms of mass can be loaded;qw8 n *4cixf +ii6ahi 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 be rjot2 f6 m1mc+4+zjheneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight of the objecte 2f6c1mo4rjhz+t mj +?

  A solid object floats in water with three84 i4bloiq-twnqf*h0,l wb1l -fourths of its volume beneath the surface. What is the object's lw q84fiqlthb*wl0n1o 4b,i-density?

  A 200-N object floats with 6g95 kr xl.malthree-fourths of its volume beneath the surface of the water. What is the buoyant force on the objegmrlx9 ak5.6lct?

  A polar bear of mass 200 kg :dkk :yqsbdo7t7,qii s 7 t2)sstands on an ice floe 100 cm thick. What is the minimum area of the floe th)i:, tssytk ki7dd:q2b 7 osq7at 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.zo()q:iax1i lr ce bd /j(+kd40 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm dd5 hwt .+2vgckg/4jf hekir)d*, 3mkmiameter pipe at 1.0 m/s. There is a 2.0 cm diameter reskh.3ct rdj wk) 2f, gmmd+g*4h5vkie /triction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a press eyjo )09(tpgxdq2,fmfj9 z )jure 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 drink s mk1ijk-pstnr:cxm7*, p7l/ ing fountain with 300 kPa,/ pcjs7tr71sknm-plikx* m ,: if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the4.8 ;dk nux( wfvcsof. bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water ofs .4cd8k (wfvnx.u;flow out of the hole?

  Water flows through a horizontal pipe of cross-segfn4mh j8;e+ i mzlu*9ctional 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-e7x:nf* jgf6y 6wecq . , ( *c,gbqnm7bweup3es. 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 thu,c:fn,ege37m.cqnx gfq*pb6b6 e jww( 7ye *e upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an artery decreased tkip+ka.j z/a( he radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blooj .k apk(+i/zad flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the diamtcxslk89mpjy af25.rahy 2)+ t+ldz-eter of tubema ky92zct 2+j5y8f)lr+lph.sadx- t B. If water rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water risew1mnebc;5(x 49hcg qzygx u7 - in a capillary tube of diameter 1.2 cm9cz -hg4bn1xu5 7yq ;w eg(xmm?

  232

  To what height would water at 0 degree Celsius r uz.l,9 jq8fyrise in a glass capillary tube with a diamr.zjuql fy98,eter of
0.50 mm?

  A narrow tube is placed vertically in a pan of;u ,kvv.28zs lu,oai1mp d.sp 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 column in .ld svvkmup2,ios; a1, .uzp8the tube?

  Consider a rectangular frame of lengtk/.*u ;w*u8mlifr)l yosm1 qjh 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapuw)k1llurf j*/im smy8* .o; qy water is 0.0260 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame:)wa vbcr9e4v has length 12 cm and width 5 cm, and is built in such a way that one of9 v4e c:avr)bw 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?