The three common phases of m-)s gnfppi*+h atter are

  Density is

  Substance A has a densnfjvwxs 2;9z; ity of $3.0 \; g/cm^{3}$ 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 ofaab .ja/mhab/b,e 3 +xy5ek o8 pressure?

  Consider three drinking glasses. All three have the same area gr f-ne wlbw.5(b-0 xljdh(,cbase, and all three are filled to the same depth with water. Glass A is cylindricaw dh-5eg cr nfl(wb.j-xl(0 b,l. 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 insidjvp+ rm cu5n31e and outside a tire called?

  When atmospheric pressure changes,isx9u(.q. g*0mrbur 9 fm+)d-s ktsv m what happens to the absolute pressure at the bottom of a ptx( .9ud. vkfrgsmus0) br+ *sqi9-mmool?

  You are originally 1.0 m beneath the surface of a pool.i3-t4 t5-lgx zoo cgcwz)4:s r If you dive to 2.0 m beneath the surface, what happensz tw-5g 43: gcs) xclzirto-o4 to the absolute pressure on you?

State Pascal's principle4c2l .pa yb.w6yf1fyz.

State Archimedes' principle4yusi i9* 2x8 txqvij2 r4x8ft.

  $50 \; cm^{3}$ 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 constanty2 sva2iht p:8zzr x/, density, what happens to the buoyant for8/ 2r vzs2haxiy:tzp,ce on it?

  Salt water has greater density than fresh water. A boat vq+r1s xfx56s- 6kqetfloats in both fresh water an6k- fer+qvx6t 1 x5sqsd in salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh waterk)+ ;j 8hxeegje2 ro*m and salt water. Compar+2 rogjjmx *8e)ee;h ked to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats n+w9 0hlwys+j in a pool of mercury. Where is the buoya y9+lwj+ whsn0nt force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, rightofw g34dmxj4ff - 0,ef next to a 10-kg piece 4-wegf3f xff4 d, 0omjof lead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece ol nn/sjt ;q0e0f wood floating in a bathtub. If the iron is removed from the wood, whatne;sl t/jnq00 happens to the water level in the tub?

  A piece of wood is floatinhb7lb9 wcs gr6: .)b6b9zyxgfg 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 the water level hbsrwx)f: 96b97zg y6bl b.cgin the tub?

  Water flows through a pipe. The diameter of the pigf jgeeg6jz -e6r:1 t x79suf -hg-ti.pe at point B is larger than at point A. Wj7h :zi6e-g6 1ejt9e . gsft-r-gufgxhere is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens tog;g+zrw (dyc; twice its original radius, what is the flow speed in the wig(g;zwc;ry +dder section?

  An ideal fluid flows at 12 m/s in a horizont1h-g p1i-lpd: 8vl3oxmt/x bfal pipe. If the pipe narrows to half its original radius, what ipl: f1dipx1oh-vtx8 gmb l3/ -s the flow speed in the narrower section?

State Bernoulli's prin f:;vz*b)offkz. nvf,9s ;nmqciple.

  Which one of the following is associated with the law of cogp;j -,hufdo t.ltf41nservation of energy in fluidftjtlgpd; 4,h 1o -u.fs?

  As the speed of a moving flu1lp8/ pz7ai;g9 w hpmjd2p6etih0jl 5id increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B jok6/nq+6dr/hml.x cmlvho+ 4y u c*: is larger than at point A. Where is the water pressure grecr4+h+co duqmvj6 lk/x*/ m .ln:ohy6atest?

  When you blow some air above2c91gb :(ugrw zosde7 a paper strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity.h4+y.hcu -)wh,rx- mpn j5ib l The force of air resistx.cl5h, p - wb)-h +hj4uiynmrance on him is

  Two Styrofoam balls, +pr 3epc i1lmz( eo;2oe,e) 0aqgn 2gsof radii R and 2R, are released simultaneously from a tall towern1 p+erq32 zopegl20;se ,ea m)ci o(g. Which will reach the ground first?

  When a small spherical rock of radius r falls n8 xm5f,3pl3ag)kq j mthrough water, it experiences a drag forcaxpnjmg),3 klq358 m fe $F=arv$, 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 th-vp / aco,bgr09;taeqe flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quanb aqpc -;o,aergt v0/9tities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has 8.difd ec ph9+yq-ay+ 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 yd.f++qidh -8e 9paycA is Q, what is the flow rate in pipe B?

  Two horizontal pipes have the same dia.figl)z20onpt5qd1 mbcpa 9 il t :.z6meter, but pipe B is twice as long 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 i p.m.ctl0afl5p: tozg1 6z)d b2nq i9pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "greasy" taste seems to beg wqruv e7e,;j)(.wzu assoce;v,qjuz )ruweg.(7 w iated with oil spreading out all over the 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 placed in jx*cr tsik7e x8*;yr;water, the water rises to a height h. If the diameter xr 7i* 8;r xyjc;kt*sewere half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight thobkx ez3h- p5.at they can run on top of water without breaking the surface tension. Water bug A has weihkoz -b 3.e5xpght 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 is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently es 2+uxzfe 2t+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 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 z+utx2e 2f+es 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 mass of 30.0 g 8x+yrkyc0avgf +6x1t. What is its de0tf 1r++gaxyykv cx6 8nsity?

  A liquid has a specific gravity of 0.357. What i h3fil 57t5.tb*yhiwis its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What ih1xmnh*.cej6+4jl 0zjfiv (t s the maximum pressure it can exert on a hori( z 10jj.4hjm*xfencht +v6lizontal surface?

  A person weighing 900 N is standing on snowsd gu:g/6lidc(te f )pfv ncl/fnn 6*56hoes. 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 in;r swvheh y-eu3d8e(32 z1nrg2 d1mpp the oce-vp2h ; 1n2gzy31sude8 deh(e wrmpr3an?

  A circular window of 30 cm diameter in a submarine can withrk m9 o c,ynzj+s/1wd)stand a maximum force of r /mn)z1k,cjoysd9w+ $5.20 \times 10^{5} \; N$. 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 pressure is 300 kPa:,iov:b 83w -ey meqlyrw6*qo?

  What is the gauge pressure at a location 15. hs37g6v6vn ig0 m below the surface of sea? (The density of s6hgv763 s vnigeawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m 1llx0 v*w.xpef wfzb ,c(d(s (below the surface of sea? (The densc, w(bvx0z pl*d(els1wf(. x fity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The smalvr7qi1sr/h6:- xlu3mq6p:p mhb.h ap l piston hasqq6h vm u1br 7: plxr-a3.hsmih:pp/6 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 and1xdh sox 4m 35,vsm(sn the large piston has a radius of 15 cm. What force mus s 5(nxms 3,somhvdx41t 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 piston. Whao ugd **4 :dw*rzv/a)d6udj+sxsi e -qt force needs to be as4o jxs) w d*a v6zud +de:-*qgdi*/rupplied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large pisj5vi 32 f4g5 g j0psb3noecvl.ton has a 40iv3552govjclnbj3ps gf e.diameter of 40 cm. The lift raises 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. 6/n, goy;:f bnrqck j:t1q c(rWhat is the buoyant force of the watr rnc /:gyqj;k:1( ,nbfto6cqer?

  An object has a volume of *ese8dk;;ums (a* qkm$4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron5:d2s0sm jdu w is supported by a string while submerged in water. What is the tension in the string? (The specif jdumsw 2:50dsic gravity of iron is 7.86.)

  If the density of goldi7zpbm lrtb(2 nu r.g 4c+4w:t 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 submucga 9z2m revm( iql; b*.4ql4arine (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 i3:zc mmuujg02dkk z4/t is in air and 6.86 N when it is immersed in water. What is the speci mz/k u:u3g42jkdcmz0fic gravity of the object?

  A container of water is placed on a scale, and the scale readvy uu5v6x9n lnli cn 7ugx,:7(s 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suxx nn:l y g,vln(u5iu677ucv9spended 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 maszy q,90-gub pos of 1.0 kg and 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 length 12 cm and vr d c;q(no3l9j:9z zk7lt47 4vojvwh diameter 2.0 cm will just barely float in w4jl( wzzq97l;n th vd c49vo7j3 kr:voater. What is its mass?

  A rectangular box of negli (nvoml- dmec;qq, qf5y.c6/ egible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded oq y.qlcvo(q fm,me6de ; /n5c-nto 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. The weiow-.0 n ;k vt;r2tb; s8lx+n o1xhfloqght of the displaced water is 2000 N. What is the qn bl v1.8+nxkwotsxhf0o- ;ol; r;2 tweight of the object?

  A solid object floats in water with three-fourths of its volume beneat3r bsl i5q4.vbh the surface. What is the object5.4rl3s qv ibb's density?

  A 200-N object floats with three-fourths of its volume beneath the surface of zdszko- v6,ai2otb*( the water. What is the buoyant force on the obj-iztb,2a*z ( od so6kvect?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. Wha-b5a+emtwjf7z83lrodh blu,(w7xz . hv4l/z t is the minimum area of the floe that will just support(+4/l 5tvb-7 o,uw ah lmz8ew7dzzjlh r3bf.x the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of d pxe 1)efzhl4*iameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm 0i)m59 ys1rjuxcrp9c diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the l9rsy mr)pj5c 0c1x9ui ine. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe7dwczs(iba/+aiq ss 0 n6xe 5) 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 a drinking fountai-b v(fil(,fz,2; xl fqtmc-odn with 300 kPa, if the fountain is 30.0 m abovq,fdv2o (cl ,lib (;- ff-xmzte the pump?

  A hole of radius 1.0 mm e2(a 9i foz21to(q3r2r+i q45g +oaoxesiwn woccurs in the bottom of a water storage tank that holds water at a 2niw2e+i4g rwqio(ar+x1q o 2z sat9f 35 oo(edepth of 15 m. At what rate will water flow out of the hole?

  Water flows through a hxv 8.sgxh:rt)d z(cg+-i rrpdl d00:eorizontal 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 pourfsgmcr 2+w1g5rl,b u(4 cfm(g 4.0 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 d+ mw5ugs fblr,mf1 (c g4c(rg2ue to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an artery deg,jyr./gcd cd1tfw .8 creased the radius by 10%. By how much would the pressure jwgr..t/18 c fycg, ddprovided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of/cjw2b:ry* )abrj o:g water. Tube A has twice the diameter of tube B. If water rbawcrj o2y/b::jrg * )ises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. Hoi1h,x0*sv ch /7mg kwfw high will water rise in a capillary tube of diahcw*s/1vg07x hif,k mmeter 1.2 mm?

  232

  To what height would water at 0 degree Celgp 01flgg/+1qmug:oh sius rise in a glass capillary tube with a d 0l:p1/oq ggfgmhg+1 uiameter of
0.50 mm?

  A narrow tube is placed vertically in a pan0w-7h7vrwsr v 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 addition of some soap. What happens to the height of the liquid column in thes wrr7vh70wv- tube?

  Consider a rectangular frame of length 0.120 m and width 0.60ge+/szt3 oy2jmgtwy-; s*131 tzm+ beekktm00 m with a soap film formt +em okmwmzk23bt;e*j zs +gt13 0ty1sgy /e-ed within its 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 wg4y7n9e9wib a idth 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 to move the y9 w9neig7ba4 adjustable long side so that the frame is 12 cm square?