The three common phaseplf3xszz 9v, d 1tdh4:s of matter are

  Density is

  Substance A has a dehv :04of wh 4i-fmzws5zo8vv5nsity 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 oxr;np0o8 f4c(o mi1vnot a unit of pressure?

  Consider three drinking glasses. All three have the same area base, and all th/2g2y6gx/gku xtg3m t w n.;yxree 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 narrower at the top tx;/xw3n yxm u6kt gg.t2/2gyghan 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 an. wqo00t *fez(xrsj37d3veq zd outside a tire called?

  When atmospheric pressure changes, what happens to the absol1m9 brp : ff 5rtom,m1,aoak9/p)e/ fwxj5qchute pressure at the bottom of a p,15bcmrfpjer/mkf9w/htm )a 5 9xap1:fq o, oool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2 dc qfh)vw;t*(.0 m beneath the surface, what happens to the absolute pressurwdhq( ;ftvc) *e on you?

State Pascal's principlenq qr latpd7mrb-v1 n5:80z)g .

State Archimedes' princiqpg/ i9lhc 528gve ddj zgk8j5 vz88q;ple.

  $50 \; cm^{3}$ 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 of9j g1cl/ n9cyy- i7lio constant density, what happens to thel9iyyc17gjc l9noi- / buoyant force on it?

  Salt water has greater density than fresh water. A boat xh xb40z3ikt 0m)di3kq 3zdop6 0h x*ffloats in both fresh water and in salt water. Where is the z 0i3hmti do z3qk4b0 hx0fxd3px *6k)buoyant force greater on the boat?

  Salt water is more dense than fre1bjx r9v1 yvtzb6s::ash water. A ship floats in both fresh water and s1r :vy9a1 x6 :jbtsbzvalt water. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats int)oz(:z+ raw0d(wca 2gur9 .)mi sire a pool of mercury. Where is the buoyant force on ti )cadr 0s)u+(i9emrwtg z.w2(az:ro he ball greater?

  A 10-kg piece of aluminum sits at the jc:)-btl wf )ibottom of a lake, right next to a 10-kg piece of lead. Which has the greatect)-) lb:fji wr buoyant force on it?

  A piece of iron rests onii;v+; lh y:g2n5qu9hroas6 u top of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens ;r u :ynl9ho i6+5ahs2g;v uiqto the water level in the tub?

  A piece of wood is floating in a hg(4d4pe o ekgy:bh; 0bathtub. 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 in gb4e4oh:dyph k0(g;e the tub?

  Water flows through a pipe. Thz/: ls5h wbg5 5mxt+cke diameter of the pipe at point B is larger than athkxb zsctw55 l:5g m+/ point A. Where is the speed of the water greater?

  An ideal fluid flows at 12 mr1q d49dhy:2f pbj9 jn/s in a horizontal pipe. If the pipe widens to twice its or2:nfqjdpjd9y 14b rh9 iginal radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s 2l7m txp) o 3 +5yc-kdl1mhaafin a horizontal pipe. If the pipe narrows to half itm57 xl 1mpyaa kd3o+ft h)-lc2s original radius, what is the flow speed in the narrower section?

State Bernoulli's princip).zfmg9 m(v(w1) zzc ea ao)zyle.

  Which one of the followingf 5g5y3-3xl 0.afekynka0u hxis 1j2s is associated with the law of conservation of energy 0asy.5nxf yfx25j3akkiu e0 lg h-s31in fluids?

  As the speed of a moving fluid increases, the pressure in the fl f/h2 +kxaj+8rvkcci*uid

  Water flows through a pipe. Tvkre( du1h.c;1k;t h9 ylq o6mhe diameter of the pipe at point B is larger than at po.1k;19y l d(mk qoucvher;t6h int A. Where is the water pressure greatest?

  When you blow some air above a pp0d , ,*dlrrigf; :h5;nf wwmtaper strip, the paper rises. This is because

  A sky diver falls through the air at terminal ve kibx9:u-tp2l r2a6ujlocity. The force of air resistance on xb-u6plr2 jiu9tk:2a him is

  Two Styrofoam balls, of radii R and 2R, are released)1 -4xc f uw6umgwgwv) simultaneously from a tall tower. Whg)146fuwcx uw mg)vw -ich will reach the ground first?

  When a small spherical rock of radius r falls through water, it experie vc1itsff+z; 3nces a drag f1v 3f+s;ti czforce $F=arv$, 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 through08pb(ian,vfed9gm 32kd 4 x mp a narrow pipe? That is, if you made a 10% cha(dpefkn4 2m pi9g8b0 ,vd3mx ange in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipr;/prvr:j v ht4e 4wx;e B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengthhrw/v r;vj x44r :t;pes 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 pl,ohmxhtm.-, md; w r-xvyn67ipe A. Water undergoes viscous flow in both pipes, subject to the ,t-lmw; ,n hv6-myr xmxd.ho7same 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 vo8w.+jniz n.5 uzq0 l"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 "li.8v zu5wnqz j.no +0physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water ro 7bj/* gsr4k4hpr jn:;lizr.ises to a height h. If the diameter were half as great, how high would the wrhn. sz7g:/4j*rl o4pb krj i;ater rise?

  Certain insects, such as the water bugb33ogd:nuk*ru a8u - s, are sufficiently lightweight that they can run on top3*u3 8aourngdub:- sk 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 B?

  Certain insects, such as the water bug, are sufficiently lightweight that they x)zsapfyc :m1l 6sw: 5can run on top of water without breaking the surface tension. This is possible because the water, due to surface ten:5al sps)xf6ymcw z:1 sion, 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 mass of 30.6qksk4cdvwj: y4bi* 0 6/thy b0 g. What is itsjhwkb d tqk/44*i60ycb v6 :ys density?

  A liquid has a specific gravity of 0.357. ,tcqm5y 78n9) xfxu qlWhat is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.+qn ct-eh)tti*bo ;a*ge :p) k00 cm. What is the maximum prp- *tet)+hobgtc q;a ek)n*i: essure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has areax6 4mx b1eucg.ff-yr1 $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) m6aois0;g a)auust a submarine withstand at a depth of 120.0 m in the ocea)ai u6g0;saao n?

  A circular window of 30 cm diameter in a submarine can withstand a maximum forc ; eu4w0+dr9n)l 5spkbllgug*e ofs+dl u;ew9k rb0pn 45gl)*lgu $5.20 \times 10^{5} \; N$. 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?i2l9 h sfk-l2vtq1i3 sk/xvs -

  What is the gauge pressure at a location 1posp6 t 2bu .m6u.-ku z-ybfq35.0 m below the surface of sea? (The density of seawat3s6.p-m zyutpqf ouk u-b.6b 2er is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a loc*nn9 xyq1-p+/ct btug ation 15.0 m below the surface of sea? (The den ncytg*/ - 9tx+p1uqbnsity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydrauln:2 , xpj)po qe;fwdu7ic machine. The small piston has jxupn,pq2)ow ;ef: 7 darea $2.0 \; cm^{2}$. 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 and the li/ qctdr rew9.d)8o 8;mw:n6t3 wbip rarge 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 N o wcwnr9i i:m.)bw 8d6 8tdr;/otpe3qrn the large piston?

  A 13,000 N vehicle is to be lifteyrro7brh/mumwb 3 7 13d by a 25 cm diameter hydraulic piston. What force needs to be applied to a7o73 bmr/ byh1ru3 wmr 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its largeae *v+/i3kumk e.avb; piston has a diameter of 40 cm. The lift raises a load of 15,00* .kk+mbe vu;e/v3a ai0 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 wat d);; hqsx1rtw-i tk a,:f/ugher. What is the buoyant force of tha)txh s; gid,qfuwr/ -kt:h1; e water?

  An object has a voluih bhtn*p;, r7me of $4.0 \; m^{3}$ 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 w h non4hgrrn.)e;(gsl g;3q6 lhile submerged in water l.on)4(lnqhgg;nr rs3g 6eh;. What is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold /m bx4c(gv5 ewis $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (densxlmug s)pz7z/0vb7: hk*a7 lnity = $7.8 \times 10^3 \; kg/m^{3}$) 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 6.5o iw (h*v;3km u4 a*xis1galn86 N when it is immersed in water. What is the specific gravity of the objlh(i3ia; 1gkvmxauno 5s*w4*ect?

  A container of water is placed on a scale, and the scale reads 120 g. Now a o82+nk *uae) s4n cv(tj9hhje20-g piece of copper (speje9ekc48os(atv unnh2 h * j+)cific 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 maet v f*fmxb(86 h)jg-lss 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 diameter 2.z7if3spdj.+*;p p;c-ym sk hm0 cm will just barely float in wm;7sm ds-piyfhjcz3 .p;*+ kp ater. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wid/ye4b. 1efeyv :jnu-i9y7u t je, and 0.50 m high. How many kilograms of mass can be loadejy/yvti.4bey 1-n e f j:7eu9ud 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 volum lr:uiwm zp6k,r kh62n549qf de beneath the surface of the water. The weight of the displaced water is 2000 N. What is tnukl rzq, p mk:2 wf59i6h64drhe weight of the object?

  A solid object floats in water with three-fourths of its volume beneath tpp/7m m*8up9xeyq/f/zxr** muj yl5 jhe surfacem7q8uy j* pepm*/zux r*/ly mxj5 /9fp. What is the object's density?

  A 200-N object floats with three-fourths of its vol lootm-mhl*t4.n uhp70 pos )4ume beneath the surface of the water. What is the buoyant force on tmp s-u7 to4*0)hptmlo.4h onlhe object?

  A polar bear of mass 200 kg stands on an iceeez9z*.ck irs (y6hcr)t f*l) floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gr zi k6tcr(.ey f))zs*crl 9*heavity 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. n *ws rlb2) .kfo/.4giq2fsthFind the flow rate.

  Liquid flows through a 4.0 quyd 15uby0zh*pj17 ccm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is th1bjy7c p0uh1 q*5zdyu e velocity in this restriction?

  Water flows at 12 m/s in a hors. q65q vj1wblizontal 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 fountain withy78fvcc 1t 6m/d u(f+ fz0hywr 300 kPa, if the fountain is 30.0 m hcr/f0mwd+ 7ftz (8 yv1fuy6cabove the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank k4x,--j qnvcuthat holds water at a depth of 15 m. cv nj-,uk -q4x At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-secti9*+ydcu zpv o5 +a1dofonal 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 tak- ttr/7 g13qlc c-ad8d pgi0lue to pour 4.0 L of oil through a funnel with a neck 15 ci/tcr dp-aqg d8c7lu tlg3-10m 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 of fatty tissue on the wall of an arterytk4tu.enl5 a: decreased the radius by 10%. By how much would the pressure providela5k :ut4t en.d by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed ifb za/gy,h/ v5064vsp ldq5 eun a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it r4/y v,h/ba0p6s5fvgzeql du 5 ise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in a capi/a k7bqor:-ifa: ( c j;w4pez fwhs65mllaryrw/b e-: zkhj siq(75; f6pco:4aamwf tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius r(,)ac s d,h1nlzv cf(ypiy.2r qv8vjp( n :ma4ise in a glass capillary tube with a (q:vr(f(h2n) pcm8s1vvz,jy 4 dl.a,cin ayp diameter of
0.50 mm?

  A narrow tube is placed vertically in /;ixjq e. km ;wlek)k;s0lvo(;aesu5a 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 liquid is lowered to one-half its original value bes0kv;; soe iwj;u;/lq klke) x5 m(.ay the addition of some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of lengthofeo 0j ctlgxsy; 4;2 pg;+0od 0.120 m and width 0.600 m with a soap film formed within its confinlog fx0s0;4;jgop c+yde ;2toed 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 lu(f :s51blzg/krb)v4 2xmgzxl)* f gframe has length 12 cm and 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 tension 0.026 N/m. How much work is required to move the sgv()llr/z51m*4 g)fxklxb2 uzf:bg adjustable long side so that the frame is 12 cm square?