The three common phases of mato idw:*4efsq) ter are

  Density is

  Substance A has a density of q8,3+ f*wbq)jiqcy( 2lekf ey nld-l1$3.0 \; g/cm^{3}$ 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 ung63btaq, dl8 rit of pressure?

  Consider three drinking glasses. All three have the same a3obxmxdm4* kf(iq*;o rea 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 holds less water than A. Which (mxk4b;m3qodxo fi** glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and outnij+73mh6u g-5e/u y eb r2soaside a tire called?

  When atmospheric preskom3 mh.45pe 5jzbyyz.z 1dl3sure changes, what happens to the absolute pressure at the bottom of a poolp5533z .zzkb mmdy1e.lojhy 4?

  You are originally 1.0 m beneath the surface of a 4*(srvpehi14 f/s7 rix+jf cs91ymh c pool. If you dive to 2.0 m beneath hr erv p 49/c i17fcj4yssm *if1+s(xhthe surface, what happens to the absolute pressure on you?

State Pascal's princizmlk q*uvr2 x5k:hxvd/0hakrm2s4w a4s .(4yple.

State Archimedes' principle.j )/vaz0)ixux6p)e.drz o g z/

  $50 \; cm^{3}$ 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 dl.8x l1z5f v1g,y/h zaj zgeu8ensity, what happens to the buoyant for5v1z8 lzyj u8l fex,agz1g/h.ce on it?

  Salt water has greater density than fresh wat5wpe00n*bz 9 v/nmkyler. A boat floats in both fresh water and in sal5 v9k/bznm *nwe py00lt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fsl.jy6hpzt k(- v -k2r9v:bac* 2vd+odgt o m8resh water and sajdc(hmdo zv rtv*-. 6l8yo2sk 92:k-atb g v+plt 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 a pool of melsn2-v f3l.u o( zpn(ircury. Where is the buoyantpn(i(3ls n. l-zo2ufv force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10vp6 / o oeypte9nby go0(py:9 d,hu25m-kg piece of lead. Which has the greater buoyant force ono oy6g:pbt0ey29 u9y m,ve 5(nphd/o p it?

  A piece of iron rests on top of a piece of wood float 0f)*k4ka:f 4rqkolsa ing in a bathtub. If the iron is removed from the wood, what happens to the water level in the0a 4sf 4:aklf)koqk *r tub?

  A piece of wood is floating in a bathtub. A second piece of wood 40hm tmpxzg1 tpbf- cb)*)j-op dc,,j sits on top of the first piece, and does not touch the water. If the0- 1 jjop) ,)b, mzp-xgbcpcft*hm dt4 top piece is taken off and placed in the water, what happens to the water level in the tub?

  Water flows through a pixdiz/ lnb 81 ( nuloq+ m2r/l2kzx+gy1pe. The diameter of the pipe at point B is larger than at point A.n uxoy +ld+1bl/ lz(1n2mr 2zgxq/ki8 Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe.zx9xm: m hv3u. If the pipe widens to twice its original radius, 3 m:9 uzxxmv.hwhat is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. Ifi6s9bi ;1eh7z mpmxkg6g hv 8/ the pipe narrows to half its original radius, what is the flow speed in the narrowegm7zp6v1 s/gmkb;69 h xih 8ier section?

State Bernoulli's principlepe hhzfa) ;3kr ntqqf// f0s1,.

  Which one of the following is auzg)0l+rl)ok.6(p0 lsswb rv 2 h,n aossociated with the law of conservation of energy in fluid.)2rl0a6 ssglz(u kol+0 owvbrhp)n,s?

  As the speed of a moving fluid increases, the preniyuxwbqa i 3a5kd+4i 0 .i;/yssure in the fluid

  Water flows through a pipe. The diameter 7/2ms7pe h; 9eesv kwcof the pipe at point B is larger than at point A. Where is the water psmvswee77 k92;p ech/ ressure greatest?

  When you blow some air above a paper striyvr;l k( ah14zsj bbe.8+8aotp, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The for,u,uj10 bo(u/hdpoh61q -fjht 6 iucpce of air resistance ojpcjph6u0,t,i 11u -u hhou/(obf 6dqn him is

  Two Styrofoam balls, of radii R and 2R, are reo 8t+a5m y+gggleased simultaneously from a tall tower. Which will reach thg+o 8ag+mgt5ye ground first?

  When a small spherical rock of radius r falls through waterx bbkqa27i/emc 9-us) , it experiences a drag force q 7ik2/mbe- c) bu9axs$F=arv$, 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 )* bwdi2xshu -through a narrow pipe? That is, if you made a 10% change in each of the quantities below, wh) b wsxd*u-2hiich would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pw lf/y+,2ah ypipe B has twice 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 rate in pp2f/, y+aywlhipe B?

  Two horizontal pipes have the same diameter, but pipe B is twqr*)-p jo5nemj1w2 hrzsk+ * jice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the *- rj*j5n+sjeo k hz2) wrqpm1pipes. If the flow rate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes gr0f yq- de0w/e/ ildt/veasy. This "greasy" taste seems to be associated with oil spreading out all over the surface wde/ e0 0tdifqly-//vof 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 heu j j8 )nxd(+bfs pswl6)9bou3ight h. If the diamujfuoj3l 6)n bp8)dbw x(s9+seter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficientlykar w):399s;zpuegr s7mmca. 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, twice as wide, etc. What :e 93a7 upgcra .)mzr9;wms ksis the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweil2sgpvr5cd92tdlg66 iv e 11eght 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 upwardgcdv2 del1i9vl5 p grt6e6s 21 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 unu4/lv rqc; ;sg-k9sh9h+as;s 8dcz x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its densi+4-;8s;z9d c ughsu s/ c9sa;kvnr lhqty?

  A liquid has a specific gravir*njci uxw0ay,( / n8fty of 0.357. What is its density?

  A brick weighs 50.0 N, and mkfc9 0 tbpivl5-qiv 2u6 ,a0vyeasures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pre f 6vu9,yklpt2ic -biv q0a5v0ssure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoe ,s x91b/oi(7syy nq q0udbng;s. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absooq18k+ zm81mh+kbb j ylute) must a submarine withstand at a depth of 120.0 m in the ocean?1+khb q188 jo+kbmymz

  A circular window of 30 cmzcj0q hxt8x-z5ktr0 0 diameter in a submarine can withstand a maximum force of 0j05 h 8tktc -xqrz0zx$5.20 \times 10^{5} \; N$. 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 pressuruvy9vho(al 1. e is 300 kPa?

  What is the gauge pressure at a location 15.0j4v 8gpmvi3*z6w gxy+ m below the surface of sea? (The density of 8pj yvv6*gm 4wgxi+3z seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below thernr0: bo.iju2b6-bs axj;v v 9 surface of sea? (The density ofn o0:9 uvbj js-.i b;2xarrb6v seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydrauljw t su9h,av 8wrnsxr o4:a r:6z3hz2cz(9a6tic machine. The small piston has arz z 6r9w9w2s:6htv4asxj an(,r:h c3troz8 ua ea $2.0 \; cm^{2}$. 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 radia 6-azg* jqsl-us of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in or -jq* asz-agl6der to lift 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 piston. W:v,83nh6pvuz p r7v d.bu6nkyhat force needs to be applied tnn ,upz38yvkr76vu6.b hd: v po a 5.0 cm diameter piston to accomplish this?

  The small piston of a hyy36ql2f 7ee16i vuvsjdraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift rai u31ef2 7qlyevj6v6s ises 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 40xu . avhd3 p,p1 qdf6;)- fgim;+z+a b.gumhvm N in air and 30 N in water. What is the buoyant force of the wxzd, 3mau- q g .maf+p vh;6mb;u+ghi1vdp) .fater?

  An object has a volumesze3 wl0(d(3aa28aysc kky 0o 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 submerg4ffcjo)tdpal / 8w.w 9ed in water. What is the tension in the string? (The spfac )/f 8o.9wjwld p4tecific gravity of iron is 7.86.)

  If the density of goldbe21) 1xedopn 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 (densituisn0c(3j- o uy = $7.8 \times 10^3 \; kg/m^{3}$) 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 -z+pnwmjb2a za5tx 2*x( xmc,immersed in water. What is the specific gravity*(zma,m cjwx2 5bt2nxpx +-az of the object?

  A container of water is placed on a scale, and the scale reads 120 g. 3w zr ;bg rel41ubgzt8h k82v6Now a 20-g piece of copper (specific gravzwehb1248tk 3rv lgb;g68uz rity = 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 density of r71p;wu, b;ui1y/sjamk2w kx $2700 \; kg/m^{3}$ 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 diamdqp6u3kt g4( i2p2r i p 8 :ct(zs/t26atuidbueter 2.0 cm will just barely float in water. What is it/bgp:6t a dup 38tzui(4ci qut2s6tp rkd22i( s mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50jnpj7*hl- ee8n) ,,ccvk hg9w m high. How manywhljn 7, ,c8ngvek 9)jhc-*ep 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 water. l i0)1)r l3 0wm(6yjavfnsij bThe weight of the displaced wjr3l)yma1 )lnb0si f 6ji0(vwater is 2000 N. What is the weight of the object?

  A solid object floats in water wwngzc;n3 yqz(j99 le kr 88yi-ith three-fourths of its volume beneath the surface. What is the object'sl9nkny8y8i9 3( ;-zqwjgrce z density?

  A 200-N object floats with three-fourths of its volume bet a4 lkr ws -w2loy:;gv;8p7ja: bhhc(neath the surface of the water. What is the br - at8yhk:w(p 7h;o:2cl a sjvlw;4gbuoyant force on the object?

  A polar bear of mass 200 kg stands on s9 -i aimo6.nian ice floe 100 cm thick. What is the minimum area oni 9 iom.-ia6sf 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 diameter 3.0 cm at 2.0 m/s. Find the flox somd178 q o4t5hc6sq(fgqh/q c 3g1vw rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm diao ii2e5 th13m h9ni55mgkz7 xzmeter restriction in the line. What is the veg 3ztn9h1mz i75 mixih55eo2klocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressurq3h -a 1 fe)flq s:-f2utn4zyve 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 founi c+80q: chakdftgg w)k4)x: jtain with 300 kPa, if the fountain is 30.0jtc: hw daxg8icf4k: gqk0)+) m above the pump?

  A hole of radius 1.0 mm occurs in txa gsjd hlhp -fxb:33e8r 940zhe bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow out of the hod43pj fs8 9 rzla :bg-e0xh3hxle?

  Water flows through a horizo(/7+ .ueg)p uueazyikhpu4 t :ntal pipe of cross-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. How long would it take to dm-.yssgvs .hh+v* u2m ld6 1vpour 4.0shs- vvh1 m.+su6d2 .g vmydl* 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 part of the funnel.

  Suppose that the build-up of fatty vg6hoqey9;dp o47.b / r5dtokd,* npt tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure p4dpngo bphe5 k.t ,9o/ r;vyd*tqo7d6 rovided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes aret8,s w;(p3dhrt ymuq 4 placed in a pan of water. Tube A has twice the diameter of tube B. 3;mwy 4,qpuhd(rts 8t 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 ri1/vy0tnlm:mz23.n-p h0qch(dlymo d se in a capillary tube of diameter 1.2 tlvh/:ny3c10dy m nd-m2( hmq.poz0l mm?

  232

  To what height would water at 0 degrei73ti vb 7h6jse Celsius rise in a glass capillary tube with aib s67 t3v7hji diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water reixnw y20 w.y(jrw)l( ises 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 sie(0 y2nlr w.(wxjw y)ome soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of lengthp1*z,n(j*nwvxffx k47b uwa0 0.120 m and width 0.600 m with a soap film formed within its(w * 4vaf,xn u*7fp n0jw1kbxz confined 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 frame has length 12 cm and width 5 cm, and is buil0j:.o, p50i4ripp jyxcm.hpav(6p rit in such a way that one of the longer sides i jjpmpa 5.ixp p6c:i0p,ry.(v 40rhocan 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?