The three common phafxiff1 u;2 yb/ses of matter are

  Density is

  Substance A has a density of-dyvun;b w*. 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 unit of prefyw ,l0 z:wn(/ iku/dwssure?

  Consider three drinking glasses. All three have the same area base, and all thaxcwzgrw/g0v /a .j krtxl ooo--m+/09r*s- j ree are fi/x /.raojs-- lw-jkgvxa0/rmoorct* 9g0w z+lled 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 glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and outside2,7d75yghk ykhtnc,r a tire called?

  When atmospheric pressure changes, wgdu(lk ony :7r 8/kf0ihat happens to the absolute pressure at the botto:/8(ng k dyrkou 7i0flm of a pool?

  You are originally 1.0 m beneath the surface of a pool. If ; *4e.ijbb(f8q)y lr kgc/ohpb* 8ria you dive to 2.0 m beneath thay*4k ri*ghr /jc qbe)8;l (ob.p8ifbe surface, what happens to the absolute pressure on you?

State Pascal's principxp n4 ,jx8zf.m uwc:w0b9s 6wsle.

State Archimedes' prin8g v9prg cww/8ciple.

  $50 \; cm^{3}$ 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 densl -lq2 ms58lye3gb1 ktp22rrwity, what happens to qe-tlrys3k5pl1 bw82 m 2rlg2 the buoyant force on it?

  Salt water has greater density than fresh water. A boat floats e -c:* bf vrya9h-v0njin both fresh water and in salt wate:9y0h jce-n-*abf rvv r. Where is the buoyant force greater on the boat?

  Salt water is more dense tdd q06k+ e-w uwil0:rihan fresh water. A ship floats in both fresh water and salt water. Compared to the fresh wat- uw idi:qrkd el6w+00er, the volume of water displaced in the salt water is

  A steel ball sinks in water but r89+d ss ans8bwazp9j0x sm zy+2(j)t floats in a pool of mercury. Where is the buoyant force on tr bpdxsszn9t 2 w9asz+8jj s8+ya()m 0he ball greater?

  A 10-kg piece of aluminu orhl ,c1,rypl54mz; am sits at the bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyanc1lzmpro;r54 alh, ,yt force on it?

  A piece of iron rests on top of a piec(9. ;dq qleo i*cs+ufhe of wood floating in a bathtub. If the iron is removed from the w do9(qi; .fces +ulhq*ood, what happens to the water level in the tub?

  A piece of wood is fuj;ktoda3 +-s loating in a bathtub. A second piece 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 jusd3;oa-kt+ the water level in the tub?

  Water flows through a pipe. The diame3v;k;ajnq pf 5ter of the pipe at point B is larger than at point A. Where is the speed of the wf3pk;v; njqa 5ater greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. I zjugb0 ,8 kxx(kqi14y ua1inl*kcl )*f the pipe widens to twice its original radius, what is tl ,k cni1*q*bu)ua y8x1ix4j(zlk 0kghe flow speed in the wider section?

  An ideal fluid flows at 12 rm *2wo5f 0c,akke2qam/s in a horizontal pipe. If the pipe narrows to half its original radius, wha e2okqk2ac0m*, 5 fawrt is the flow speed in the narrower section?

State Bernoulli's principbbm emzmfpp k-em/- kf/:90( ple.

  Which one of the following is associated with the law of conservation of energy fvy.2u frkbv6u.x z4+in fluxuf k.u6 yrvbv 42f.+zids?

  As the speed of a moving fluid increases, the g+oy3q 4bl yv5pressure in the fluid

  Water flows through a pipe. The diameter of thu8cc)1.ebgrn jtsvho/g6 x04 e pipe at point B is larger than at point A. Where is the water pg86/coh 4e0rs1x bvu.gn)ct jressure greatest?

  When you blow some air above a paper strip, the paper rises7fw8sgkhsem8a.t 4n5u7 ij a:. This is because

  A sky diver falls thr2) ykwee* mntfi0ay,6 ough the air at terminal velocity. The force of air resistance on himw2e6n yem*,ya )kt0if is

  Two Styrofoam balls, of radii R and 2R, are released simultaneofp0 b21f (f epxtkddo*r4-u .yusly from a tall tower. Which will reach the ground first?o. -fb2de4frt (fy *upxdkp 01

  When a small spherical rock of radius -vlabvvs(zey;2ud 6* r falls through water, it experiences a drag fo6d*z - vseby l;(vua2vrce $F=arv$, 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 through a narrow pipe? 5xy8m/we3mk o That is, if you made a 10% changm /k35eyx8wmo e in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B hab2edkq3 .ro* h 1q+wvus 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, w hvrq3dwkq2u.o b1+*ehat is the flow rate in pipe B?

  Two horizontal pipes have the same qky; 738utsc v4hg-o9n0yn k ;/n hhoediameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subjecsyhkn /o g 08uv 9y;qn e4;tc-k3onh7ht 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" taste seems t6b)1z-w x(wdlwn gzfe3c0xi9o be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikeexwc zw9(b 3d6fw zil )01xgn-rs", this is readily explained in terms of

  When a tube of diameter d is placed - +xmykt ll+,fn9sw1 kc7icn-in water, the water rises to a height h. If the diameter werilm1l-f+k- ws7nckn,tx+y 9ce half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficientljw5r3n wqa4 g1lsu1-sa) /fwjy 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 diwr1a w ws 1sqflj/n-g43 )5ujamensions. 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, c8 ao9.p+nubj4cepm9cka9 p( are sufficiently lightweight that they can run on top of water without breaking the surfacec9k9.b p cjn4+um oeapa (p8c9 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 2.00 cm x 3.00 cm x 4.00 cm has a mnly (5;2 m+ujbfx(z8mhe n q k:cfvt;*ass of 30.0 g. What is its yl8k+qnzvmfnm*(jx uc (2bf; he;t 5: density?

  A liquid has a specific gravity of 0.357. ,uxq:-yil fx 7hz5m1k What is its density?

  A brick weighs 50.0 N, andrc99xm 4(fyvy46g k hd measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it cand6 rk gh9xm4fc y4v(9y exert on a horizontal surface?

  A person weighing 900 N is standing o. ghn9plo6bm3h (rgn vs7x+ 3vn snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine wixewu o 9hn8(9fx rqd:;thstand at a depth of 120.0 m in the xurf :9d whe8;qn9(xoocean?

  A circular window of 30 cm diameter in a submarine can with /d 5km)yxt-qchuub50 stand a maximum force o -d/5)0 5m qhcuybkxutf $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure if 07s mkhc+ ww9z,m7mpsthe absolute pressure is 300 kPa?

  What is the gauge pres khi5b*9l(gkgif63u vsure at a location 15.0 m below the surface of sea? (The denshgkfk li(63giu*9v 5b ity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a locadx08n/8v bt mk(sfdu 1aeuv9 i sph-19tion 15.0 m below the surface of sea? (The density of svtep sk1-9v 8(09/fbumhdu sd a1in8xeawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machin7ohvqs,x :p)t*e3ge vj,o(sve. The small piston has area oqo vsvh)3*eejvt: s,,7pxg($2.0 \; cm^{2}$. 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 radiusrsh z ye; v;/7c9f-g*mmi-2l iap-zqi of 5.0 cm and the large piston has a radius of 15 *cm -si- qh pgz;il/7;2mefaz-9yvircm. 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 h z7m; .xmqytl)ydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplishxym )zltq;.m7 this?

  The small piston of a hydraulic lift has a diameter of 8.0 c 2dpt.os6+o akm, and its large piston has a diameter of 40 cm. The lift raises apsoktao6 2+. d 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. 0c 2x,*nq eiswzyv),andc68b What is the buoyant force of zynd2ec0ba8*,,nc 6qsi)w vxthe water?

  An object has a volum 7nw:1h -0*kftom6 fgkde8 v*t,htmzwe of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of sakq)uc,h39 wu olid iron is supported by a string while submerged in water. What is the tension in the string? (The specific gravity,auq hkw3uc9 ) of iron is 7.86.)

  If the density of gold ii**ola)m gsn1 s $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel -*c u rb :mqvfks:l36gsubmarine (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 in wate6g-) jwf1owo ar. What is fgo1j)oa- ww 6the specific gravity of the object?

  A container of water is placed on a scale, and the b 3t/hb+d,jai42qzqtscale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) q h4i/z,ttqbja2 b+3dis 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, pfhxc0uk):v density 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 lot5tj0v+s-q 0yr otqr, )d hc(ength 12 cm and diameter 2.0 cm will just barely float in water. What is its mass?5dv(hr) st00o+q-jrt, y tcqo

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide,mpw65-nt ,8rrday lp qn1wg1nnhw/b1uwj ( )6 and 0.50 m high. How many kilograms of mass can be loaded onto the box bedumwn 6a86 wyp ,1n q1n 5r 1-wh/j(np)trwlgbfore 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. kw4s7h1h4 bjcThe weight of the displacehkc41h j4 wbs7d water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath jkjar d6ps 7;nk/e+7 rpfu 63pthe surface. What is the object's dekpu kdf/ 673j+ n6prjras ;pe7nsity?

  A 200-N object floats with three-fourths( p65vc kf gzk,3x)kdvhw/ 8pd of its volume beneath the surface of the water. What is the buoyant forcegk8k(fpv5 h vw)ddx3cz6p /k, on the object?

  A polar bear of mass 200 kg stands on an ice floe k5d5y*es19 q5g0 ray tigino .100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of irggs0a5t5d 1oni*q.k5y 9 eiyce is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm atnnjkqz k1y5u1cz9 5. :l.;yngsfko (n 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipc1 yjdh;t-yb 5e at 1.0 m/s. There is a 2.0 cm diameter reb1h-5cyj ;dty striction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontah,41tku oan5 ml 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(i) uf2cmv9w n supply a drinking fountain with 300m(9f)cw inu2v kPa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the botto gh 0u,u.aq,ehruu -c4m of a water storage tank that holds water at a depth of 15 m. At wh u.aqur0h ,u4cue-h,gat rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectional aranaow 99p cxc8*nq4 9l(c+bclea $10.0 \; cm^{2}$ 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 woul8 -2lkx9nb rjqd 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 tnqbrj-9k8 2lx he 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*s q*e4giv.3p (xhxqw tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood qv*g*wqxx3p 4he(. isflow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the diamejd cto/42ipk. j llq;6ter of tube B. If water rises 24 cm in tube A, how high will it rise in tubji6q .cjo2lt/;l k4 pde B?

  The surface tension of water is 0.073 N/m. How k wcc yzvlg)xo.j6p 7s8z(;l -high will water rise in a capillary tube of diameter (87 6pxk.)sgzcvc-lwjl oy z; 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a ,gn5b5:cm(tn-0tbztqow bk p5h be8+glass capillary tube with a diameterc 8: z5onbp t 5+b0k(tb ewtmhngqb,5- of
0.50 mm?

  A narrow tube is placed vertically 9 kv:hz1/tpcy 3dmff cv1p..b9:um;e nv ot4qin 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 l.hq:vb11: mefz/ppdt;uo3ytc v v.49 9nkfm ciquid 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 0swo-2gr v71ict;xx6( , xkkja.120 m and width 0.600 m with a soap film formed within its confinedxvj,1ctoa (- k iw2x7;g6xrsk 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 widthre j,f5vp(gx90 g (flm 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 required, f vpj(5x0g emlfrg(9 to move the adjustable long side so that the frame is 12 cm square?