The three common phasemm0qxk vv65g2 s of matter are

  Density is

  Substance A has a density off85o uo.2u sak $3.0 \; g/cm^{3}$ 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 unit of pressuzn,d u y0;asnjzkz g(7i;dr29re?

  Consider three drinking glasses. All thr.j nua is1 da(lsh+* x/em,cf.ee have the same area 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, a+hu /a1*.snf.ca( jls ,dix mend 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 thk j 3b;-jody5:czii v4e pressures inside and outside a tire called?

  When atmospheric pressure changes, what h*k vgbw zk0i40z,.ibam5zv 8pappens to the absolute pressure at the bottom of a .4g5 zviwz*kv z0,b amp80kbipool?

  You are originally 1.0 m beneath the surj.bs6 9yjx;wh8;vyfk face of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on y69yxy ;.vjjf s8w;hbk ou?

State Pascal's principllnp+- tafa 0f ;jwv 6)d/vr*qse.

State Archimedes' prinuxoh;d 6c96p-s4li 6h.ge k m;9ibsu gciple.

  $50 \; cm^{3}$ 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 waterzrtg* 8hi0s7 re i6/we of constant density, what happens to the b0rt*irwz seig 7h6e8/uoyant force on it?

  Salt water has greater density than fresh water. A boat floats in both fresh4i- uri dhfpa68+ag(y water and in salt water. Where is(iypf 4hau+a dg r8i-6 the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both , ou.vp5/p ynrfresh water and sa pr ,u./pvnyo5lt water. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in watxwp10o-0l+n6ln ywt e er but floats in a pool of mercury. Where is the buoyant force on the ball greater? w le06wnyp0l+to1n -x

  A 10-kg piece of aluminum sits atac v+irygahzriktjt9g he2+ 0 l+.,-8 the bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant force o l-itt9 zy.2 h+,+ie0ka8gchjr avr+gn it?

  A piece of iron rests on tof( f1bv+2eo.chi 9 mwfv k+r1,mg uvb-p of a piece of wood floating in a bathtub. If the iron is removedkfmvrfbvw-92+ei 1uofhg.1cm ,b(+v from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piecee u0oc.fo;xq sj6n3, f of wood sits on top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, what happens to thsf0e6jq,x3 .nfco o u;e water level in the tub?

  Water flows through a pipe. The diametiamk1e2, ugy q6) hpz-y y.wa*5jgf e8er of the pipe at point B is larger than at point 2.8ymahq6ykp5 yfawj*gz )e1ge -u,iA. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens t-9ue l k7ph.ilo twice its original radius, what is the flow speed in the wider section?9u7 elk -ihlp.

  An ideal fluid flows at 12 m/s in a hor sen2y9cink4 xap6et5gb.-h1 izontal pipe. If the pipe narrows to half its original -ctn56 e aig4p9x1enskbh .2yradius, what is the flow speed in the narrower section?

State Bernoulli's prc+t 6ujpyf /.9qf 0fbpinciple.

  Which one of the following is associated with the law ejo,ph;0lz3 kof conservation of energy in fluije, z3;o0lph kds?

  As the speed of a moving fluid increases, the pressurep8yi*e08iags +1 bvi: zivr7o in the fluid

  Water flows through a pipe. The diameter of the pipe at point kc ih:i z):h(eo2(banB is larger than at point A. Where is the water pressure g: (h:k2) ao(zihc einbreatest?

  When you blow some air above a paper strip, the jts tb-9 jjdy.4y7rf.uf k5y 756lght paper rises. This is because

  A sky diver falls through the air at terminal velocity. The forcegsavp a,t4e;n/ d8 *tc of air resistance on h8vd,*;eta ntgps a/c4im is

  Two Styrofoam balls, of radii R and 2R, are rel+mtp9f .yo oypg.4-mgeased simultaneously from a tall tower. Which wimtg+o.y my. ppfo-g49ll reach the ground first?

  When a small spherical rock of radius r falls through wc-ct;os):ho jj/eg( 4lbpq6dater, it experiences a drago: t sg)6c4e (pjljhdo -qc;b/ 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 m*k0pz 38,ivtv2 k mxsthrough a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatev*t8xmkz p 2,vmi3 ks0st change in the flow rate?

  Two horizontal pipes are the same length, but pipe B hac s44-hzssv51r yj5tss twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to v5tr 4s1 c y5j-hzs4ssthe 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 is twice as l:o /:xnzc.g xlong 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 cx:n/z xl:go .is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "greasy" taste seems to be id)xhwq 9j v3:jc( 1xinwhi1oxc+w45 associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", this v :jwx5i1w3)w cnhjd4h9xq ox+ cii(1is readily explained in terms of

  When a tube of diameter d is placed in water, the watevouxf()vxx7 zhn457(sgor / zr rises to a height h. If the diameter were half as great, how high woux 4o5ohxx r /z)v(nsfz7 vug7(ld the water rise?

  Certain insects, such as the water bug, are sufficiently n koi+w9jfm:j) 8rf/c lightweight that they can run on top of water without breaking the surface tension. Water bug A has weight W. Water bug nom9k+ fw 8rcf:j/)ijB 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 a jij59v 0t;)(siv8ybic 2exi,:((mvt drd g yjs the water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. This is possible because the water, duegi:evdjj,ict90dm ry((s5vi;y)t 2(b x j8vi 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 cmj/., *2pgp( usqe:ex6qvlcvi has a mass of 30.0 g. *pj2vgqi,e u.csp(/elxq:v 6 What is its density?

  A liquid has a specific gravitytp)pry:/h2 z a of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10a0 allih12rg 1o*a.vs, jio0n.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal surfoa*laij.020o galhrv ,1sni1 ace?

  A person weighing 900 N sbp(x;e+ 8evuo p96lz -zpk/dis standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstan5smur84 i 7bsbd3jey*d at a depth of 120.0 m in thebm 5*ubjye7 i8s d34rs ocean?

  A circular window of 30 cm diameter in a submarine can withszccil9aw 2s 67hpc;v y f5yu,+tand a maximum force yhc5l7v+ ;c6 fz9,ic pwsyau2of $5.20 \times 10^{5} \; N$. 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 ddsjk f28,c5 ipressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m bey4-ghnt0ki3w 1b4 z/ 1whj4sge) no xblow the surface of sea? (The density of se4h b13 nn 0ggzkobejsx4ti4/yh)w 1-wawater 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? we tp3ys(,xq ((The (ws3qyep x(t ,density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston ouz 0j f-0i(5k3x sftfdf a hydraulic machine. The small piston haix005- jusk f3(fzdft s 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 sma0z2)s0 zetr 6-ujowd1hau ox*ll piston has a radius of 5.0 cm and the largoh- sx20 *uzw)e0oaj 1tduz6re 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 large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic pi .f:zwmd0gp6 ah alt5;kn+ px*ston. What force needs to be applied to a 5.0 cm dian :th5zmxa*a . lw0pd;6p gf+kmeter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its lat93/oveh av*k55mg pprge piston has a diameter of 40 cm. The lift raises a load of 15,000mpea k 5 v9v*5gpoht3/ 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 147k zxnh;rhr q(4xrw/ 1ijgmv33 mej. What is the buoyant force of the water?1mg jeknw( z73x1r4/h34qjrivhrx m;

  An object has a volumel jkocm(f1 601 kgzt qa)hz;r8rd3;ql 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 submergd 98xyq :dm.n rtb76mzed in water. What isbdzmrqd 97 t.86 ymx:n the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gopvsg 37jmc 8,tld 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 subm 4t; wa8jm.e3bmyc+wa arine (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 when it is .w1 w4mus1evi r)al1 c7iyht)immersed in water. What is the specifiu r7)h ali1y1ws4w) im1vtce .c gravity of the object?

  A container of water is placed on a scalox c mlc,lu7c2 5cxd).e, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a threa)5cc du x,oxc2cm.ll7d 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 ,z6*jw*atjtzdensity 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 floayl/c/-leu gp ,+4rbhz t in water. 4-,/e+ yr/ uclzpgblh What is its mass?

  A rectangular box of negli2- so/g( kmoh ruphd*64udz9os/mx7 g gible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box bemxkdm6h -os(/oz 7/r9hp4 od2g *ugsufore 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 beneae+x xiqf 1(ru/th the surface of the water. The weix (u e/q1+irxfght of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volu 19)v.f1r:qga* zzbr5/olp7ql phre y me beneath the surface. What is the ob qf*llphzog/rp1q e)vr7 yba.9rz 5 :1ject's density?

  A 200-N object floats with three-fourths of its volume beneathq,:jzo bxt6oc.wonsi7 j2 4 f* the surface of the water. What is the buoyant force on .oxtcnoz q, :o4jbw 7*6 f2jisthe object?

  A polar bear of mass 200 kg stands on an ice flo,v zllm:,*y,xyd/zahjk * n0g d-lb -fe 100 cm thick. What is the minimum area of the floe that willx zd:,al b/ly*m*f-l v0n,zh,jg-k dy 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 3.04m ltyolu. sz8ie4hg,-*ud y9 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 ce.-hmyu 7tiq7s 8h q..9v gqx5ig5uclm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter rest h9x-.sl5ugh5qvi7te.8q7c.qgmy uiriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontalnkx8 ft++o1waekh j9 c46h h+p pipe with 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 supply araslwi *u06i*wd) x2-ghfp i- drinking fountain with 300 kPa, if the fountain is 30.0 m au)h *6lsr0fdiw-2pgiw- xi a*bove the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that4dkf,g zr geamia141- holds water at a deptraf41gmk-d1 i eg,4zah of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectional area lwdl *b)u6ebi8 k0.tr$10.0 \; cm^{2}$ 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 woulzt.,,z0 naqxoyi 8t(l d it take to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm iny(tqt,xz .,z0o8ai ln 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 tissue on the wab 7ro:*azb(;sss* ysall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart h*s:;y 7zo (barssbas*ave to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water:m4o +lw cup.s. Tube A has twice the diameter of tube B. If water rim4plo :+.uwc sses 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 rise in a ca3; jev.3puk* -og izwapillary tubj3oue *iapg-3 z w.k;ve of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary tum- tn3p kdch-gd9 :-i1xm v:nmbe with a diameter of m-1vcg- nd- mn:i mdx9kh:t3p
0.50 mm?

  A narrow tube is placed vertically)(n3 gksq,wn g;ih 8gk in a pan of 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 additi qgnhik ,gg; )(3s8nkwon of some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 :,lw-*up m/xzw *scwr m and width 0.600 m with a soap film formed within itsz -mu/rw, c :*xlspww* 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 rectangu/9b,jco tc xz(lar frame 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 surface tension 0.026 N/m. How much work is requijtx /,bczoc (9red to move the adjustable long side so that the frame is 12 cm square?