The three common phases of9kpx 4z+ y7om.8hggdn matter are

  Density is

  Substance A has a densid.xvk f5umzfcfhf0f0l6 284kn9z.j n ty 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 z9 .pkoxiz.ze- ;4dbh of pressure?

  Consider three drinking glasses. All three have the same area base, and all tk -a . mpdtqsj- ,0lom bnj(;1d-qee/chree are filled 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 narroejs0nd q---m .tc; a,oq(lkejmbd 1/ pwer 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 betwe1*q dlehi1 ,kuf2so +jxk21tl en the pressures inside and outside a tire called?

  When atmospheric pressure chanil;gf3blx(( xe xh( k:3x6stoges, what happens to the absolute pressure at the botxl (3( kbxl6x fi3goxhe:t(s;tom of a pool?

  You are originally 1.0 m beneath the surface of a pool. /((pvc3ahee +(dfaffx8 su cc46p)uzIf you dive to 2.0 m beneath the surface4cf u)vx3/ed((capp uh(f8sa 6fc+ze, what happens to the absolute pressure on you?

State Pascal's princip4sv, ile75r fdle.

State Archimedes' pry 4- aenr) )y-nnmp*tkinciple.

  $50 \; cm^{3}$ 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 inyq96b;owpl) avfn,7wia m* 1 nto water of constant density, what happens to the buoyant forc69pw yn b1) 7nfv, lmaoaiq*w;e on it?

  Salt water has greater density than fresh water. A boat zo3ozr )4oy7 akkz9v7 floats in both fresh water and in salt water. Where is the b 3 zakzy o)4rvzko7o97uoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh water ;ny/ o 455aotq byv5qemz:wf 5and salt water. Compat;5my 5qanw: 5ofy4/evob z q5red to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool /e lmw.o9:fo5 (t7yyalca.* *ataf84lovpu pof mercury. Where is the buoyant f *t/5: aofpov(8e4 py aalclwm.fo7 y .u9tal*orce on the ball greater?

  A 10-kg piece of aluminb qwgur+ebce2v; 3m2 q z)/;fwum sits at the bottom of a lake, right next to a 10-kg piece of lead. Which has th ;fwr/) 2;qg3 bwm2zqeev+bu ce greater buoyant force on it?

  A piece of iron rests on to2z 8lnz rp7v8f;p jvd,p of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water rp, z ;78zpnj2ld v8vflevel in the tub?

  A piece of wood is ffy.y abv y4w61e 6c1.evsb 6culoating 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 pfw 1y eeb46v6 yuv1cs c6.ay.blaced in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B i e s5sqc(-+ynu8 w*gu*gvplh4 s larger than at po5(e *c+yhwglquus8vng4p -*sint A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twicv/xt- / w;)kx0pf yb8 txrd9o)l0sk jde its original radius, what t /0 /ws-)kj x)f 9rldkoxtydb8x;pv0is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s )wg+u(c ) kaoyin a horizontal pipe. If the pipe narrows to half its original radius, what is the flow speeu(oy)ak+ w cg)d in the narrower section?

State Bernoulli's pr;q4 .kq7 sk-i dcjmi/ q+eg6bkondp+(inciple.

  Which one of the following is associated with the law of cdcl/0q omwbr)wt81,l onservation of energy in fluic,/wl0 mb1rd ) qo8ltwds?

  As the speed of a moving fluid increases, the press.6ef +mz ftwiio5 g 2 b;/olv0il(ct/sure in the fluid

  Water flows through a pipjxqxsj-2r) *ic jzk12ya2b :ze. The diameter of the pipe at point B is larger than at point A. Where i2z2jyz*: x-ks q1 ciabxrj )2js the water pressure greatest?

  When you blow some aqmj qosz ,q )od+ qqe. n)bfc1z1(f-l*ir above a paper strip, the paper rises. This is because

  A sky diver falls throug.byvtaiiz71 (h the air at terminal velocity. The force of air resistanciv ba( 7yzi.t1e on him is

  Two Styrofoam balls, of radii R and 2R,tkr0s su5g ox(f 7l8e; are released simultaneously from a tall tower. Which will reach the ground first(;t feou8 ls7s0g5r xk?

  When a small spherical rmq3.g 8g s2vs 7o;jw:k7vyxu qock of radius r falls through water, it experiences a dro q7xg8s3v;j7guqm vysk. w:2ag 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 o-8e /6xbcrwg s bd9uc.f fluid through a narrow pipe? That is, if you made a 10% change igubws 6 x/c8dr.b9-cen 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 has twice thxtuh/j5 cxl (4e diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressu/xju h c4(xl5tre 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 long as pipeo x9+/dc h (z;7*ktccfheh3 af A. Water undergoes viscous flow in both pipes, subjecdfct (c9ce7 ;h/3ahh*f x z+kot 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 t6hx3f 01 jt1 a;n+wsvqxxp /wsh95uv castes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface9 1a3h 0nv5h/x 6 1uqss+x; wxvjwpcft 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 water, the water rises to a height h.7us p;r 65oyef r-ffw+ If the diameter were half as great, how high rs;puyrf-7f5wf +6 oewould the water rise?

  Certain insects, sucg-a; p4l ;d ksp,bg6pmh as the water 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 as bug A, in all dimensions. That is, bug B is twice as long, twice as wide, etc. What is the weight of bug pb;pd, 4a gsmp6;gk-lB?

  Certain insects, such as thm:c2 j ielmi0vh1d +3le water bug, are sufficiently lightweight that they canive+i m1:hm2cdll3j0 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 upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm hasexxs3.:em k6o bjy)ub7bl 2aiyd4 j/ 4 a mass of 30.0 g. Wi kxjbdb 4y.y/semlu o7)xa324:jb 6ehat is its density?

  A liquid has a specific gravity of 0.357. What is its densit+a w0pvj:2p9z:bff pxy?

  A brick weighs 50.0 N, and measures 30.0 3 :/t13v venesj,ilvpcm x 10.0 cm x 4.00 cm. What is the maximum pressure it c3t evlei /p1v v:sj3n,an exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoe80i413l hkycj5kcipo l8vv/ ys. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a su i.):pf;+q ooyl(c ve0g/cnj.li g*tqbmarine withstand at a depth of 120.0 m in the ofi*c t;yv ijg0/ cllqge :.).o(qnop+cean?

  A circular window of 30 cm diametet a5eyrso3 3h4r in a submarine can withstand a maximum force t3sa54er yoh3of $5.20 \times 10^{5} \; N$. 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 abs/1q nqruc0)s,ymph e)olute pressure is 300 kPa?

  What is the gauge pressure at a9f( mf2eb-eu m location 15.0 m below the surface of sea? (The density oem b(uf-2ef m9f seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at hlj t:s13va:+ .w v3+nlfqufxa location 15.0 m below the surface of sea? (The density ofn +1vh vfqsa. l3tlf :3j+:wux seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small pist j2ao/zq nd;q.zoy:7u on of a hydraulic machine. The small piston has.z; :zn72jod/ayqoq u 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 ofpd*y5t bpuv*5/z gp i( 5.0 cm and the large piston h(y *vb5pt ig*up5z/dpas 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 b.thkwq yx/5pai+ nw;9 e lifted by a 25 cm diameter hydraulic piston. What forc +9qiww .yt5/nx;phkae needs to be applied 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 isaq r9+sd2k*;wa yhy8ts large piston has a diameter of 40 cm. The lift raises sya* wdhsa;+y 9kr28qa 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. h,x5*glk / f huwh1)eb7zt +cwWhat is the buoyant force of the wateuhcx e z*h)gb5 +f/l,htw71wkr?

  An object has a volume t r vcrel(-6a6t v6oe7of $4.0 \; m^{3}$ 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 submerged qevh6g6s( 3a, f epj31ytxul5in water. What is the tension in the string? (The speciu1s5efhx3etj 6y,la vp q6g(3fic gravity of iron is 7.86.)

  If the density of gold 56xrexrk82sgg w-p j *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 stee myn-5v fi+m/g3gw7qr l submarine (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 isq(r)ljo1o m n1tkp i:) immersed in water. Whatl)n11() pjk r omiotq: is the specific gravity of the object?

  A container of water is placed on a scal.lc;bj.e,q3cw kbo ;ed)b7 jmvm5/hj e, and the scale reads 120 g. Now a 20-g piece of copper (specific gravw;,beckbbd v o /h5j3mq;7c jle .j.)mity = 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 1.04 2qu2kcpar.cwj 90fr 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 diameter 2.0 cm8sm.tj2 )yey q will just barely float in water. qsm y)j2y.e 8t What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and,a q :h/-okkjo;zi( er 0.50 m high. How many kilograms of mass can be loaded onto the box before iezhi(jkq - o;:k/ o,rat 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 itsj ), a-i-oewbm volume beneath the surface of the water. The weight of the displaced w j,wiao )-emb-ater is 2000 N. What is the weight of the object?

  A solid object floats in watezrf+2 a+jl56x n2o m*ks bk9cqxm2: dir with three-fourths of its volume beneath the surfaa+k l2biq c+sdo r65m2kmf: z29j*xnxce. What is the object's density?

  A 200-N object floats with threeauc/s ;)j6q+ c byxgg4-fourths of its volume beneath the surface of the water. What is the buoyant force on the objects gjgc ub; +)ax/cqy64?

  A polar bear of mass 200 kg stands o7mt 8xjq qvm;et8 oqnfi)73 l8n an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? 8 l8q7f qj8to;x qm7)ne3 vtim The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. Find thetx+3-iiepvv *a 7.;u yjyfux9e7li q9 flow rate.

  Liquid flows through a 4.0 cmes: ,4epift2 iq zn0nt5pom8x)lp a ,7 diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocit2 08:)ptx ,pqols e finezpit74mn5 ,ay in this restriction?

  Water flows at 12 m/s in a horizonta );--tan;g ) gjnjjpowl 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 a drinking foun.h tr:fd mbewy+ ,o9llaay8- *rfl) n/p8e-avtain with 300 kPa:+ yr8n la9lt-aevplb/whaome,8rf.) dy- f*, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in th.sc3dyuo/v,4 g 2rmege bottom of a water storage tank that holds ogyc m23 ug v/,erd.s4water at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of c*ivvh0y3g 9coq8 lcz 2ross-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 jq v(6c*panw10-hr hoviscosity of 0.20 Pa-s. How long would it take to pour 4.0 L of oil through wq -anhpo0hr*cj6(1va 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 due to the upper part of the funnel.

  Suppose that the build-up *u/glt;m lo hz j3yl-4+nxx1dof fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have gyn3 / z1 xl-th; ll4j+*umdxoto be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube xni1ar uu : *fhib w9:y*1we+tA has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise arx htw9*ney*+bi u1f: :iuw1in tube B?

  The surface tension of water is 0.073 N/m.68a4 3(bfqxhep myy;nx-ah4ly( m*;;ss eo jb How high will water rise in a capillaryyb;qy4b;jhms fx *(n 46se3-;(apla8m xyoh e tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capm.xe2my 06 gq:sxty6b illary tube wiy 2.mg eq:yst0 66mbxxth a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the wau:kxzt74s) nb ter rises in the tube to 4.0 cm above the level of thes 7ntzxb) :4uk 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 width 0u ucsooe0ozjy,s6 /- ky+mq9)m 2ict8 .600 m with a soap film formed within its confined area. If the surface tension of sojk-9,zce q8m)0 u uoosyo +c/yt6sim2apy 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 width 5 cm dgwn)fah mnc01 7vt:3, 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 wate7wnn 1am0f c:hv)gdt 3r has surface tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?