The three common phases of mato 6*jqqenh3bkfn)e( i/)y9bij6u 8pr ter are

  Density is

  Substance A has a density of so)uocr6t 3fut/ r)wkm.(e,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 following is not a unitgnj*4 p p/g6xp of pressure?

  Consider three drinking glasses. All three have th5 zwwhg2.e wsp33d8ove same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is widdpzgws33h5o wv8.we 2er 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 pressu+ dj te5irpw2)res inside and outside a tire called?

  When atmospheric pressure changes, w* -tvs-ts:mhihat happens to the absolute pressure at the bottom of a poolmt: -i-shs* vt?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2d8it6vm. 0ulm .0 m bem6u8m dt i0vl.neath the surface, what happens to the absolute pressure on you?

State Pascal's principl1s 30hu *y gfgcn: u(ndai,+ult4ww 1de.

State Archimedes' principu+l u/ab-)c buaf 5u 169eywgzle.

  $50 \; cm^{3}$ 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 deeperwzeez un:nvy-1(v :+ d8cdick5pg)j5 and deeper into water of constant density, what happens to t5cgv nen +pid)(:vuw 58d-ze :zjy c1khe buoyant force on it?

  Salt water has greater density than fresh water. A boat()x n +d8wf cit8badv, floats in both fresh waterv8bcxf wadi(,tn +)8d and in salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats2h nap- .bwa/l in both fresh water and salt water. Compared to the fresh water, the p h.wlaab -/n2volume of water displaced in the salt water is

  A steel ball sinks in water but fxcz7n-,*xbo w2un x)vy g 1hu8loats in a pool of mercury. Where is the buoyant force on the b2xw7b, nuzc x8 h)n1o-y*xugv all greater?

  A 10-kg piece of aluminum sits at the bottom of a9 9d dpnc/qr)fldato5)a8.r 0o5 fyzond 9 9pa lake, right next to a 10-kg piny9 9rp9 dd9fof. ta0q) 8/ldo)5r 5dpnc azaoece of lead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a. jij5z96wr7v4y q sis bathtub. If the iron is removed from the wood, what happens to the water ler69jj4swvzy7i si5. q vel in the tub?

  A piece of wood is floating in a bathtub. A second piece x4/4ff f6dx zaof wood sits on top of the first piece, and does not to/f f x4ax6d4fzuch 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 diaiwv 0m eo u*wq;1ozqfb+.mmz,vrosp2xb9 )5:meter of the pipe at point B is larger than at point A.pqz 05 vxmvf1)wqoob+ze2b mw.o*9usir ;m,: Where is the speed of the water greater?

  An ideal fluid flows at 12 k;gp utdeatd9: w:2w)m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wiw dau::9kt2)ped gt;wder section?

  An ideal fluid flows at 12 m/s in ph5h+a wqh/5v lb wo72gxj 6,aa horizontal pipe. If the pipe narrows to half its original radius, what is5 a+l jh2/ogvwab w65hxp7, qh the flow speed in the narrower section?

State Bernoulli's principlepkaufs+. 4i4wnqau13x t j*n8.

  Which one of the following is associated with the law of conservation of bjwklv (1)/uk energy i) wvkblu1/ kj(n fluids?

  As the speed of a moving fluid increases, the c*n2nxe9 qk/upressure in the fluid

  Water flows through a pipe. The/ttl04n4po./asg f8ie5.r-bdej pyy diameter of the pipe at point B is larger than at point A. Where is the water pressure gre/eb40jp8 ln- y/g4o.rp 5y.itfad tseatest?

  When you blow some air above a paper strip w.+y+ eevqikh:t+3fj, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of aii ja7nm 6y77nk:e2b:hl-r ves r resistance rn a7sj y2eki7n67h lb:evm :-on him is

  Two Styrofoam balls, of radii R and 2R, are b9k-pi,uy 5fs . -fnjmreleased simultaneously from a tall tokn9ju,- bffy m5-ps.iwer. Which will reach the ground first?

  When a small spherical rock of radius r falls through water, abmscp+l.8h;cn e +, dit experiences a drag forcedpm .c ,e++hn bcs;l8a $F=arv$, 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 usq i90 6qlntc hf7)aldlh+06 flow of fluid through a narrow pipe? That is, if you made a 10% change in each of th0 9ucl )liq7sq f0hat+6 d6nlhe quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diametemj s3jq,emc )/r of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If th/e jsq m,j)m3ce 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 o+ 6 -jgycr:wc+4blv htwice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across thg w+-y rcjl+voch46:b e 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 "gremg9 h h *h0zbikl-4e8pt9ct0tasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", this is readily explained inc0 t t9k tzmhgh49hl pb8*0i-e terms of

  When a tube of diameter d is placed in water, t.a ,b+cedp(uele;tyxocz)ki3,9 f 2ihe water rises to a height h. If the d9+ce. ,2 c;bltikfyazeo)(ie3p xd,uiameter were half as great, how high would the water rise?

  Certain insects, such as the water g k5i85xgapo-bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. Water bug A has weight W. pkg -iagxo855 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 ozy4e37r 5s; yzbzi, sbug, are sufficiently lightweight 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 masz b7se3zi zyo5ry; ,4ximum 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+i+ha+p v k-as x 4.00 cm has a mass of 30.0 g. Whphiv ++sk+ -aaat is its density?

  A liquid has a specific gravity of 0.357. Whh /2nqoz1lolay-szd) t 05 /rwat is its density?

  A brick weighs 50.0 N, and measures.v y z /hpfijh)a+7nzs 2(cov27lwjc ( 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a hivhl(f7 zpn)vo/zajyh.cj(22+ 7s cworizontal surface?

  A person weighing 900 N is sta4 wu 33gcxvhx6nding on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submari4m6rgn f1 gdbbp:0fx)x7 pxxd1q **mxne withstand at a depth of 120.0 m in theng7mp g x 01x*b1):f6xxd p fmd*qrbx4 ocean?

  A circular window of 30 cm diameter i erprlkn (r;8wk1f/ bi2lq(r/n a submarine can withstand a maximum force of /pl wkqr/l(;kn1(2rirr8fb e$5.20 \times 10^{5} \; N$. 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 (pw rn xjtfz79-8(tlnabsolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m belomx 8.k-onywp9uf3r)rz cd6y4w the surface of sea? (The density of seawaten 3cy)krum foxr8yd94 w6-p z.r is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a locatg ix74 wsf+/dh:zc v,w e+cp6x ks16aiion 15.0 m below the surface of sea? (The den7exkw d:i +6cvi h6 ,sfc+4w1spzxga/sity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on2jag i8 .(-r.ze1j q/ijbcpxl the small piston of a hydraulic machine. The small piston h. j qp.igje jibclzr-x21(8/a as 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 anpxc( :2zxzzf: d the large 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 2 :f(:xxzz pczlarge piston?

  A 13,000 N vehicle is to be lifte3dwyss qh2 e;d z4b2p1d by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cme 4hds2z1yw 2 p;dsbq3 diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its larg/sb5rn 5xt1(u ax dd05bp)z pde piston has a diameter of 40 cm. The lift raip0x u(ba1p/dsr dbd55)n 5ztxses 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. dh3sul4,l o1 2omj: c6qzd)pz What is the buoyant force of the wzu3h:1s)q6o2 lc djzpl4md,oater?

  An object has a volume hq6ml tc2ft+bb;c* ;f9ykll * 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 w 03gxrk2u, u.mrjb.hnhile submerged in water. What is the tension in the string? (The specific gravity of i h2rukuj0b m gx3r.,n.ron is 7.86.)

  If the density of gold is m6s *n/p/ qoja$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel sug)yn.2sygg-oe xg6i+t*d, ptbmarine (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 immersed i yg) q2c.v7pzhj*c*u oad-lh5 buj /)nn water. What is the specific g/qvjbg npjho) 72-**adu5zyh u. ccl)ravity of the object?

  A container of water is placed on a scal)1h +mdaiz4 re0b6daxe, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a tha) b zxhd+mi dare6140read 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 dvd: (0z bzf x2wqdb-e+ensity 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 diamete(caam n.brz(6r 2.0 cm will just barely float in water. What is its mas(n(c abazm6r. s?

  A rectangular box of negligible mass measures 5.0 m long f-: 1w s gyx+*s72efa*g1ywgtnh:wgn, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks in- ntw gaf21y+gh:gf*se x1gwws n7 :*y 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 watcmavn,sxzwxs y) x7e; s0 dc2-y4 *5xoer. The weight of the displaced wws y4e,xxy0o d ncvs27ac)x 5zsx*m;-ater is 2000 N. What is the weight of the object?

  A solid object floats ina ykf1kts ,76b water with three-fourths of its volume beneath the surface. What is the object'sf7ay ks6tb1,k density?

  A 200-N object floats with three-fourths of its volume beneath the surfacwgx, lag48j9ze of the water. What is the glwa9z4,8gj x buoyant force on the object?

  A polar bear of mass 200 kg stands bc:krx3m/ *:fjfo *w5n)9wroe (pccnon an ice floe 100 cm thick. What is the minimum area of the floe that will just 3o :f*rknw /xr ):mcofcb9jnp*(ew5c support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe ofxb0yh -hyza* o9sp /;n diameter 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 caqg 1,ahw8*s a 2.0 cm diameter re,ach* aq 8s1gwstriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal p )-yo buee.5+r; m +*hni31ilx6cseclpy-u dmipe 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*dnzg--y b* :1joureka + zk)a a drinking fountain with 300 kPa, if the fountain is 30.0 m abdur +jba*aoz-ey 1) zk-g*n: kove the pump?

  A hole of radius 1.0 mm occurs in the bottom of a (j9xdz*b71tsdf. fe9 cyy:jty* 9oen water storage tank that holds water at a depth of 15 m. At what rate will water yyzjt:n7*d1d 9s*obfee9 f.cy ( 9xjtflow out of the hole?

  Water flows through a horizontal pipe of cross-sectional uotp/2+1 gvr3aj4uv carea $10.0 \; cm^{2}$ 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 io5c2;*g:dm bx 8(zbsw +va yzq55zvi 2wrcb-wt 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 surry5bx a5bc;2wmwg z-i v8+dczobzs 5q 2v:(*wface 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 wall of an artery decreasedg +./shhm0h6a cb yj+h the radius by 10%. By how much would the pressure provided by the heart havh6s h+jb+yc0ag/ m. hhe to be increased to maintain a constant blood flow?

  Two narrow tubes are0:uxvtx v(oh7 placed in a pan of water. Tube A has twice the diameter of th0uvx(:v o7 xtube 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 wfz ncss12 vw6a f:)jc47k;umbater rise in a capillary tube of ;nafj24 mz7 c1ksfs:)cvb6uwdiameter 1.2 mm?

  232

  To what height would waifm u11tiad ydnx8 2,o.kl :w0ter at 0 degree Celsius rise in a glass capillary tube with a d1ia d,02 ndi.fklto8 :mx1yu wiameter of
0.50 mm?

  A narrow tube is placed ver3* )yn7ci g- 9zdl*c zajmy it9a0;fwotically in a pan of water, and the water rises in thej 7z** y;0i-zwcyta9 n 9mfo3ilad)cg 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 the tube?

  Consider a rectangular frame of length 0.120 m and n.p pe zk.bo1ku7f82l width 0.600 m with a soap film formed within its b.u2kp1n l fp8k.z7eo 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 wida1l0bf2hhlar23y ph+ th 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. H0 pa1r32lf2+hh baylhow much work is required to move the adjustable long side so that the frame is 12 cm square?