The three common phases of mam d:o6,r,gdqci,nu ;utter are

  Density is

  Substance A has a densobn vk) bz,o56)r* hubity 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 followingd/fo5 sew5rf)js;do c:9jq) 1 n to9mx is not a unit of pressure?

  Consider three drinking glasses. All three have the same area base, p5ztp8pt:x .rand all three are filled to the same depth with water. Glass A i:85txtz. ppr ps 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 th.7h99zls 6kb9yiiz/t k jpx3j e pressures inside and outside a tire called?

  When atmospheric pressure chang ja/n i 1rvhk )..nkzpny;73knes, what happens to the absolute pressure at the bk1 3 .kh)npki a7;nv rnzj/y.nottom of a pool?

  You are originally 1.0vqcmw xvdxvnt2,a e/1r04y): m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on you1: ) qt0xe4wmdrvcnax2,/v yv ?

State Pascal's princ5uyjkfr*qp 2ns /3/paiple.

State Archimedes' principle - x1,fp war+dwsr1b*u.

  $50 \; cm^{3}$ 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 density, what happens t /z m4t rkv,m.6fjyc;ngu,ab/ o the buoyant forc gjr 6, mtn/vz/.afc4mb,;ku ye on it?

  Salt water has greater density than fresh water. A bi0 a+b vag(x;cqj/77tikhb; 4x,chnboat floats in both fresh water and in g,h h 0+7/7j;atbn;b(cckqxiv xbai4salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water.ywv r1rb3fe/4 A ship floats in both fresh water and salt water. Compared to the fresh water, the vol r vrfy43ew1/bume of water displaced in the salt water is

  A steel ball sinks in water but floaw y.g)c*yh 7 wgwj3,c 4;b9gecn5qt ixts in a pool of mercury. Where is the buoyant force on the bal*;cwwgywh c gg,eyxj4ibn) 35.t 9qc7l greater?

  A 10-kg piece of aluminum sit3c +ptk. lkjiiao.b( 1s at the bottom of a lake, right next to a 10-kg piece of lead. Which has the grea3c.(lotkk a.1pb+iij ter buoyant force on it?

  A piece of iron rests on top of a 4r rfnvf:c5w8y7i l3y piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water leve7 yfcf: rv3w lrn854yil in the tub?

  A piece of wood is floating in a bathtub. A secongz dw1+v8mjgbkavr --5 -*ykzd 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 t+ aw kkz*581--mvz -drjgg vybhe water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is lash8ht nt6h: c:rger than at point A. Where is the speed of the water greatert: t8shn: chh6?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twic;e p 2sf0er3tne its original radius, whptf0;s ne r32eat is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows t-g nf/un;thms2/ v rq,o half its original radius, what is the flow speed in the narrower sectst/ ;-n frv,g/hq2nmuion?

State Bernoulli's prin.*nk t;+ncp.ltp4;5 ohllnprciple.

  Which one of the following is associated with the law of conser7rb,z 4 vh:buvs.zx9rvation of energy in f9hbb u vv 4:r7s.zr,xzluids?

  As the speed of a moving fluid increases, the pressure in the flui qs gst;f4v n2)rt0ih:d

  Water flows through a pipe. The diameter of the pipe at poimhwu rdf2x:)w09. k qtnt B is larger than at point A. Where is thexhw. dqukm:2 rtw0f)9 water pressure greatest?

  When you blow some air above a paper strip, the 8zpl ea):r *nr95yl jxpaper rises. This is because

  A sky diver falls through the air at terminanydp7hv.7:+)ki griajd7k a5l velocity. The force of air resistance on him is)7gvkika7 dd:hrpjyn5 a 7i+.

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a 2fn:wd--qevv ) *c)lxrebri.tall tower. Which will reacq.r xlc )v i) bfr*ee-:2ndw-vh the ground first?

  When a small spherical rock of radius r falls through water, itp qj30xcc9 (r7iig y12 9dnmtuhtm6 8g experiences a dra19 xcmj (ucth7dtg0q 62npmryg89i3ig 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 of fluid through a 7fy)0j.dbaz hnarrow pipe? That is, if you made a 10% change in each of the quantities bz jady ).fb70helow, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice f akvtzn j5s4 dah6.2:the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lnz4a.:6 v h jd2tf5askengths of the pipes. If the flow rate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have thes t:l ia83yag2 same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in bo82aa :lgyi3st th 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 tas3 xue0b kl;s.:l)t ixe(k(yn ttes greasy. This "greasy" 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 explal : )y0nuse3xkebi;k( .l(txtined in terms of

  When a tube of diameter d is plag..z+ mll 2te5tk*id kn) wue--zr9nhced in water, the water rises to a height h. If the diameter were half as great, how high would the water risugkr.nde*nwk z)t he-lmz+ . l-9it52e?

  Certain insects, such as the water bug, are sufficienti76ct*db) gkvy /ts/ lly lightweight that they can run on top of water without breaking the surface tension.sky bd6tgicl/t7v* ) / 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 B?

  Certain insects, such as the water bug, ari sris ;9tocj,o56,s rcm g95we 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 suppose that water bug B is twice as big as bug A in every dimension. That is, bug B iso sogr5wc,;sc6 i5mij99ts, r 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 mass of 30.:aymdl3l+lc; 0 g. Whatldmla3+ c:y;l is its density?

  A liquid has a specific gravity of 0.357. What is its ded nqk 5+jon10g7ie wt*7 oxxr:nsity?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 czetvq jg68 9 kny0r6m(m x 4.00 cm. What is the maximum pressure it can exert on a horizontal su(j0 68vg9menrt kyz 6qrface?

  A person weighing 900 Nx,nufw* yv l:7 is standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) 2ro;mm4( ccvx must a submarine withstand at a depth of 120.0 m in the o;2cor(4 mvcx mcean?

  A circular window of 30 cm diameter in1h yav8;6 ,np+cyvfqgiy jn66(ti cuip2. 7qt a submarine can withstand a maximum force oivfaqv itt h6y ( c+71pi.6p 6nuyq g8cn;2yj,f $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure if n9hs;*- d yq0z+ womfbthe absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surfacec 1 ei1e 8o-nwgdbf)k6 of sea? (The density of seawater iw)nfi-8 k1de bgce o61s $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute ufci v,j g8zqrg5,ke0.e oeq c+i-fz*8:bb5z pressure at a location 15.0 m below the surface of sea? (The density of seawatj+5 ,ez cq8 ekz-*fco8.zu0:iqf gbb5i ev ,grer is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. Therdc:3 tqldv3oyu6) 3t small pistoqy lr vd do:t)6u333tcn has 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 li6,pj hx(cg8kufq-( m jft, the small piston has a radius of 5.0 cm and 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 Nmkch ( jp qgx6,u-8(fj on the large piston?

  A 13,000 N vehicle is to be liftednhfe6- +2 zf,hgr-dn0 ry08ntoc mfus wkg 3/6 by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to as ,nyhff0 cr g ozw0 g6u+d6r3nh k8-fne2mt-/ccomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large pi*rzmo+;:h(ch: o/noqis ed/ y -*tguy ston has a diameter of 40 cm. The lift houdmhzg*n*rcty o-yo: /i :/s +;qe(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 invs3,rudrppcepd 6--0m .w75eguw0xb water. What is the buoyant force of the r e 3w 0eruvp-0.g7wu dd6-cpb,x5mpswater?

  An object has a volume o2gv igow8fni2faoik31; 5,of f $4.0 \; m^{3}$ 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 s /mz(fjx f 9,kf72zjk vm/h,6: wggmpcubmerged in water. What is the tension in the string? (The specific gravity of f:km2fkhj6 ,wg9,pg c mm //zzxj v7(firon is 7.86.)

  If the density of gold m03fs y- h)(qsn4 ejanis $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarinead1cr+0 faa6ky3 iyg* (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 xn - ,w4au2ztjwhen it is in air and 6.86 N when it is immersed in water. What x t2ajn 4-zw,uis the specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 12 qrq42y pjzdj09nyq21 0 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thrqp2 j nqqdr0192yj4zyead 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 ofgqqopbjyiq+d/+t ,9j6e d3 h( 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 diameter 2.0 cm will just barely float in tvo;+x 5 ezz3zwater. What is its x +;zzz 5e3tvomass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, andmu-k7xs7,(nhlq xec6 0.50 m high. How many kilograms of mass can be loaded onto the box before ke 6,x nu7m7qsc(lhx-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 weqssbd-,w 8m ka)fik 07ight ofq,i 7s)f8 kadskbm0 -w the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the su lhyz 3-hdw;83uelj.u rface3h uehwl8.dy; -uz 3jl. What is the object's density?

  A 200-N object floats wiyibztnirhk .bdz, 5 4k)19:iqth three-fourths of its volume beneath the surface of the wateik4yr1 dzb5ti i:9k,hb)zn. q r. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice-chdh(giu4w1;gb 4 wh 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? The specific gra4iw1h hd cg- u(4hwbg;vity of ice is 0.98.

  Liquid flows through a pipe9l7v,/ wnn8is/ck +yiwx3t mq of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe a4*co:8sycn0t./vf c ohsuxnh /)nn /at 1.0 m/s. There is a 2.0 cm diameter restriction / *x0cc.fh :)/o /8usn 4 tonvhyannscin the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a hosur h fe9)y .c qo04zt.fjxmjf40f*3i rizontal 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: 3jldyost hgm7/1 b(vtthrv (ja29n; a drinking fountain with 300 kPa, if the fountain is 30.0 m above the pt(o;rhj1t: mgnj 37/ d9hsltv(va y2bump?

  A hole of radius 1.0 mm occurs in the bottom of a water storag0g7)h2d a -yzhx bgw/fe tank that holds wa2)gyh /-fh7gdaxw 0bzter at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontalpphxi9a(i3o 6w 0)2 cyuhm;lv 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 p9j 2c5hqc slc/4ye zcs1h v.n7our 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assume the clc1nv9yc4 5ejhh2/cz.s qs 7surface 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 t nf)5jbxmy2z3he wall of an artery decreased the radius by 10%. By hx)by3 z 5fnmj2ow much would the 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 has twice the diam+y1t i8idrv ,mnk4hd1eter of tube B. If wateritkdmyd hrn +4i,v118 rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. t ib )5z+i yaviqf9j05How high will water rise in a capillary tube of diamety5fj) + vi90tzaibi 5qer 1.2 mm?

  232

  To what height would water at 0 degree Celsi7n8fvi./ 4)ne;rj ehel )tn qsus rise in a glass capillary tube with a diamet/ it hl8neeq;rsef 7n)).jv4 ner of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises inf+ k7 :k z0cskdz;knv. the tube to 4.0 cm above the level of the pa+.ck s dvk7k0nz:zf;k n. 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 p dwa+ zh6tzlu9boo+3: 3wtq )m and width 0.600 m with a soap film formed 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 th9wlodu+t+3hbwq3o pt)a z:z6e 0.600 m side?

  An adjustable rectangular frame has length 12 cm andal8so8d(gyt. 9 ;mipx0ulr;d width 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 tensm.l8 8o;td(pds a9xr uyl;0giion 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?