The three common phases of mj(1x: t4hx 9dui x+:razsh4aeatter are

  Density is

  Substance A has a density of s)knbjgc e;72 3lz2ct$3.0 \; g/cm^{3}$ 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 nr6o2kfe2bl1 of pressure?

  Consider three drinking glasses. All three have the (kh7 ckoe,s-hsame area base, and all three are filled k7o- e(hkh ,scto 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 glass has the greatest liquid pressure at the bottom?

  What is the difference between7n3;q8 gd k -zow kruv2mr4)jf the pressures inside and outside a tire called?

  When atmospheric pressure changes, whg d(csczl ;9uemvcds(,j. 0 h(at happens to the absolute pressure at the bottom of(s ;v(eh .0sudz dcc(9ml g,cj a pool?

  You are originally 1.0 m beneath the surface of a poow1ie,v1n 0 sbrqlf 5f9l. If you dive to 2.0 m beneath the surface, what hapffvs9e5rnl1 b 1 q0iw,pens to the absolute pressure on you?

State Pascal's princia5g i-j82 w4iwt, ff.zeergt1 ple.

State Archimedes' princip6ic ex, rn1+et-k2zyxle.

  $50 \; cm^{3}$ 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 wate/s5 l,0 rbmciqr of constant density, what happens to the buoyant force os5q rlib0m/ c,n it?

  Salt water has greater a+8wryo-ww) kdensity than fresh water. A boat floats in both fresh water and )wr +wka-oy8w in salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A shipn 1,r 1ckmaos8 floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the sasm 8a c1ro,kn1lt water is

  A steel ball sinks in water but floats in a pool of1cp2 tq/rhu+u*h o 8lp mercury. Where is the buoyant force on the ball gr/puphqco8ulr 1 t *2+heater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next ,i;.bact pyz1r9 s n:bpk6y:mto a 10-kg piece of lead. Which has the greater buoyant force on it?9zp1,b 6:ysar pnym:ic t;b. k

  A piece of iron rests on top of a piece of wood floating in a batm:pa +z8v,o p8zm zke ql ld/9hogv(07htub. If the iron is removed from the wood, what gpvh ea:v(8pzql0 mz+o79z,o/ 8kd lmhappens to the water level in the tub?

  A piece of wood is floating in a bathtub. A seconv.mz 8 d fn3e)5.3m r3r7ten/gfaspynd piece of wood sits on top of the first piece, and does not touch the water. If the top piece is taken off anzndmn3stv. n) 73mf.ra8g53fy eep/r d placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pieme j+hxsz+() pe at point B is larger than at point A. Where is the speed of the waterhs+e ( xmejz+) greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe g*y46uu+jzsj i*c-kawidens to twice its original radius, what i kagz*j yiu6s -+cu4*js the flow speed in the wider section?

  An ideal fluid flows* 6n cw l9jcm3tu8a cnkb1fxgn5202y o at 12 m/s in a horizontal pipe. If the pipe narrows to half its original radius, what is the flow speed in the nar2x ngc528o 3 9k0 fc*wubcn1ml6n yjatrower section?

State Bernoulli's prinz,hjazh ;7)zhy y6n;zciple.

  Which one of the following is associated with the law of consecx2lx 75 :w cg n cp(;*+v*vbs,midhmqrvation of energy in flu sd x lnhbp,7vx* +i5;cc :*q2gmvwm(cids?

  As the speed of a movingbme jmdj..2aq x: mf; dk63e/o fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B(6 wfy(9qyoq bh ,gwz2 is larger than at point A. Where is th2h9wq (gzowq(y, fb6ye water pressure greatest?

  When you blow some air above a paper strip, the pape h 0(i sb1fn- pk6trt3ob6gk0or rises. This is because

  A sky diver falls through the air at terminal velocity. The f6lefb( rv6/ zyd+)igv orce of air resistance on r6dlzy)fb6/ evg(+v ihim is

  Two Styrofoam balls, of radii R and 2R, are rel. q:xo4en tq 0 a0/mwf-8hixuseased simultaneously from a tall tower. Which will reach the ground first xx4omq0a./s:n uh i8 q-0ftwe?

  When a small spherical rock of radius r dbe y,8dah+n a8 fl:k67oeec/falls through water, it experiences a dradk e8b8ndh6/loy e,+ec : f7aag 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 flowie(gv r96hm2 j of fluid through a narrow pipe? That is, if you ma96(ghi ve jm2rde a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are3;bl -o2veh uydk 0i80kol i9k the same length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the sameu 2-o090i ;heolldy8 3bk kkvi 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, 1ki xvaa+ho/aj b-u,on0eq: ,but pipe B is twice as long as pipe A. Wate0xevi ,ukhbaq:/a- +1ona, j or 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 the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "gr;qs 3 fkgs4ks5easy" taste seems to be associated with oil spreading out all over s sq3 ;fkk4sg5the surface 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 plac2w 8moqb1 doejfm*a+ebm,a13ed in water, the water rises to a height h. If the diameter were half as great, how high would theo8aq deo m aw1bm 21,fmeb3+*j water rise?

  Certain insects, such as the water:. z *3h (yhckdmrvyn2 bug, are sufficiently 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 az2y. :*d(hn mkyvch3rs 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, arlw;zzh 9 nk 4ul2/rqq*e 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 maximum possible upward force on the feet of water bug A is F. Now sur/ 9zluklzn4q*h;w 2q ppose 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 dimens-j4kxjle0;f y ions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its k 0lfy4ej;xj -density?

  A liquid has a specific gravity of 0.357. What is idfmtl w a/:qam/rl7e(r,h.- jts density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4vx(z-9/u1 ns 4mcuo gn.00 cm. What is the maximum pressure it cn 1cv 9gzn-u uo4(msx/an exert on a horizontal surface?

  A person weighing 900 N is standin e3lalz 1yu*x0g on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 120.0 m 3*6uoin1m4,1nv4) lefh yn cftj;bf iin thfj ;nf3 u, nb l44i*t)eni6f y1m1ovche ocean?

  A circular window of 30 cm diameter+jm ku2x9u:te in a submarine can withstand a maximum force :uxm ek+j9t2 uof $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge press; )2dbp7u7spazps djcrs )rbf40 e:t*ure if the absolute pressure is 300 kPa?

  What is the gauge pressure at6sz; fbj kia58 a location 15.0 m below the surface of sea? (The densityafs 8zj;kib56 of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface of seax q+gny: a-4ri? (The density ofiqr yga4- xn+: seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic macwu/r krz.q/8t(xaq5 w hine. The small piston has area qt.r 8x5/ qa(wzkwu/r$2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small o opb254uts de6*oa2qpiston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the smu2 edqap os54*tb6o 2oall 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 piston. Whm4 hl/mr 7 v:f*h,knhbat force needs to be applied to a 5.0 cm diameter piston r4hl vkm*fb nmh:7h/,to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large pisdug)amvvc6i9(m5qk * z h 0t+k+nh3btton has a diameter of 40 cm. The lift raises a load of 15,000z+cu6a q 0kg) bkn5hit(hm3 mv9 t+vd* 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 buoya*hfey0/ss zp rw nz, l,7:oth4nt force oeyr4 sh*p 7, z,ntof/ sz0:lwhf the water?

  An object has a volumenm/p b43 qo1y4yclo m( of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder ofrq;d 8lq 2h 6h(:gcvmf solid iron is supported by a string while submerged in water. What is the tension in the srgl h hd( 6q2c:v;fmq8tring? (The specific gravity of iron is 7.86.)

  If the density of golez-e26 pavr-z d 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 (densit)pdxtwmcyvmoh :gv0: 8 i5,k9lc*,kzy = $7.8 \times 10^3 \; kg/m^{3}$) 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 g:; s1.frkzkjivq( yvq21(jz it is immersed in water. What is thy s1 k.z21iqqjf;j ( zr(vgk:ve specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 12h fgi/w(x 5r7geparb *y* 1o(u0 g. Now a 20-g piece of c(ui hf1ar/e rw5xg7gp(oy*b*opper (specific gravity = 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 de,ll3 ;hx vqbc-nsity 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 btoai040m 2qe c:vq6 rwill just barely float in water. What is its m40obit mq6:era vc0 2qass?

  A rectangular box of negligible m+ a)vd .nn+ogdjt(uir7 b(mq :ass measures 5.0 m long, 1.0 m wide, and 0.50 m hia ++n(jq.u: )vo7(ignmd bdtrgh. How many 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 ben-+u /q z+oihd, of v6eltw3wg)eath the surface of the water. The weight of the displaced water is 2000 N. What is the wei+ i3wh+wtf gzlq6)eu/ov d,-o ght of the object?

  A solid object floats in wrg9ww v/dyhv 8xz,3u+ia g1 o.ater with three-fourths of its volume beneath the surface. 19ry/gvvw w,3ad ix.g+ u8ozhWhat is the object's density?

  A 200-N object floats with three-fourths of its volume ben9kn;ruc (1,o9- 2zkpkw x p fe6zasvbat-7 y4neath the surface of the water. What is the buoyant force on the objvo 96xkn7a4wkbcs21;-- z(n , zptr9ufe apky ect?

  A polar bear of mass 200 kg stands on an ice floe lr1q ls:*)dj9in )sgz100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specifiqil 9sl1dz n)g:)sr*jc 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 flo):kkdrrp e)5 hw rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. Thx6-l s-+f):sb;wsz 8ipnb c8b:utcggsvs8 w1ere is a 2.0 cm diameter restriction in the line. What is the velocitfw6 cg -z-vlxs8t8sibg sw ;cbn18s:: + usp)by in this restriction?

  Water flows at 12 m/s in a horizontal pipe withd pvpw8t1k;xn-g8pg9 yra 5;/xdzr0 n 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 a*r-i6wyy 3 iuct y8/ x7*ijtyu drinking fountain with 300 kPa, ifwi67i3y*y tyi * -uur8cy jxt/ the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the,*amik exa m.1 bottom of a water storage tank that holds water aa.m e1,a* mikxt a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of crdh mzanfq+39b.u(yd t 8h7g3q oss-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 lo4-tm-rmm( ykh+ l tv mr1lxr05ng 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 th r lh-lm(mtryxk4mtm 1vr 50-+e 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 aq+5 emac7n9vbbi56e nif 4 q2an artery decreased the radius by 10%. By how much would th 6bncf +9 eaqien45vi27 ba5qme 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 8.mhpr pfk*oveif)(6 has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise ir6*k) vp(m h8off .pein tube B?

  The surface tension of wz(y4taxznia7q 3o .65qf /xkm ater is 0.073 N/m. How high will water rise in a capillary tub 75.zaminfq 3kqot/xx(z 4a6ye of diameter 1.2 mm?

  232

  To what height would water at 0 degree Cels. ,zrt ,+4b8qwo rudvyius rise in a glass capillary tube with a worr v8+db,y4qzu .t,diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of waterx*f2- kfcdm spvz8h g5* s g0drt-/qh2, 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-hax2psdd-fm gc z5*/*grhvs 8qt2kh f0-lf 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 0.600 m with a soap fiz j ar g :e+l,*x;.obxd- +-6e 8ldixjdfqiuy9lm formed within its confined area. If the su-e:9 fdj,zie 6jlxx d l; ++.o*yi8ugaqbxr-drface 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 wiarfdgp :2, 4 5akud*vmdth 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 surfa,v r2pmg*adf54:uk ad ce tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?