The three common phases of matter ,zd.s* ny3 e6 mqr +/rjud(btoare

  Density is

  Substance A has a densf /z -u0( jrgwcqb2r+iity 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 of pressure?)usy:e in14nl

  Consider three drinking glasses. All three have thecd5:8v:f*- xv5n zan *dvfr gl same area base, and all three are filled to the same depth with water. Glass A is cyli8ff*n5l-gc5d: :v vvx* arndz ndrical. 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 outside a tire called8mxxj:if+j*d yh-jf* ?

  When atmospheric pressure changes,mmr (d2/ann. k+dl;sr what happens to the absolute pressure at the bottom ofmrs l+ nadmrk.d;2(/ n a pool?

  You are originally 1.0 r*7j +au2ghj*oi7epg m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on *h7 perg*gjaoji2u7+ you?

State Pascal's principle.o(oi. n)dkec(hd*g3k7k oib0

State Archimedes' princh)fp)l aoe 9+riple.

  $50 \; cm^{3}$ 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 ha b 8+7g-;9c btjlwa hg)yvu98inrxys(ppens to the buoyant )9w;7 ntlivy8yb- g8c u jah9+rbgsx(force on it?

  Salt water has greater density than freqp5)abrmpgjt 6sr rup1 99 1s6 2xoj7xsh water. A boat floats in both fresh water and in salt water. Where is the buoyant forjp96 2 1o7ag bx5smq9)prrtpj6 xs1urce greater on the boat?

  Salt water is more dense than fresh water. A ship floats kkjeyep xj/mw0+h un1 fj83-8in both fresh water and salt water. Compared to the fresh water, the volume o/nmfeyxkejku- +1jjhp 83 8 w0f water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Whfdbq 1,hj ::kc(k qg:gkrst.+ere is the buoyant force on the bacshr.1gd+ (:fjkq kqg: ,bt:kll greater?

  A 10-kg piece of aluminum sits at the bottom o 1tvkur95w.x af a lake, right next to a 10-kg piece of lead.vu rk9t.ax 15w Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If the e3 qm6xkb 717fe ;csdbt4cu5liron is removed from the wood, what had b;4scb k653 ee1fqtc7mlu 7xppens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piecphzk3 )ewbey/atf 17j0+xvvhvl /68f e of wood sits on top of the first piece,byj +6 lkxtefv 8vv e7/1w hp/)f03zha 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 the tub?

  Water flows through a pipo.jmyn,sl-jtlz4 6 y:e. The diameter of the pipe at point B is larger than at point A.6mjslyn 4o,yj-z lt.: Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the px hpwdko+v646 ipe widens to twice its origin +kw6d64h xvpoal radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipepjl:vhqu;s7 nh5y 1b( narrows to half its original radius, what is the flow speed in the nbs(ph;q n ju17hvy: l5arrower section?

State Bernoulli's pr*cpfqwz so8 )4jo y* fs--qm/zinciple.

  Which one of the following is associated with the law of conservatiowrs)y- y kw7:kn of energy i s7 yr)y-wk:kwn fluids?

  As the speed of a moving fluid increases, the press8z7g 7+/ a d(ldn akh)sf.vdzaure in the fluid

  Water flows through a pipe. The diameter of thecnkp *p hl2(2yi0o) kh: h8gmm pipe at point B is larger than at point A. Where is the wat *2hmk)pc k(8ypl2mng: 0oihher pressure greatest?

  When you blow some air above a paper strip, the paper r9g+v/wjdy ai6ptr54 tt5 ;olrises. This is because

  A sky diver falls through the air at terminal velocity. The force of air resis poun 9b-lzu u m;e-67jd52gvstance on him is-5elgu9sz -m vob2 jp7d6;un u

  Two Styrofoam balls, of radii R and 2R, are released simultaneously froej0 zhh0-nigrf j:q, r3,s 5psm a tall hsqrhe5,r i0gp-jf: 30n, zjstower. Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it expe0uey:wnj r)z7 riences a drag force)yzuj0 :nw7 er $F=arv$, 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? r+u)vqgp1 2 yfxu9gij8i5y0pThat is, if you made a 10% change in each of the quantities befpuv+pq5iy) uriy0 8g9x 21jglow, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameter 6rvg:jw 7nw-62fag upof pipe A. Water u7g -wfa u2j6:6vgp wrnndergoes 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, what is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as long as pip3 hon qd0a,4gzz6cu/--z i mkge A. Water gc zzm3-0q k-/ui4gznh6d,o a undergoes viscous flow in both 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 tastio* jslr rb),1es greasy. This "greasy" taste seems to be associated with oil spreading o1li ,*sbj)rr 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 place4ys(o4r6kf z5bdb p 0np+qnn q.4rz3id in water, the water rises to a height h. Ifsro+k44i(0 6 zfpn5n4q3q yzn. dr bbp the diameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficientlygsdq :c b,jz07 lightweight that they can run on top of water wi 70:qz sbjgcd,thout 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 suffic / 6a, twlasjk0:d ax soh*ska7ge4f21iently 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 sxfa,o4hsak/e1g2 wkta:a* s76 j0dl 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 cd x 5ukhfg l4ndnhytgd49,+13m x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its densig duy3n+9t,1hx4dl d f4 hg5nkty?

  A liquid has a specific gravity of 0.357. What is its densit*na/pez6d+bjzb vo7 /y?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.tnd/*zx rhd-g; *ip1l0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal surfad * dg*xz/nlit p1;hr-ce?

  A person weighing 900 N is standing on snowshoes. Eaf5q )nojs,erme) vs+3ch 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 iafrajq fc7z 1u/ 86h:iffq 1f9 ;cya;120.0 m in the oafi1y 1f c;j9fziau6 q:c 8 ;a/7fqrhfcean?

  A circular window of 30 cm diameter in a submarine can withstand a t2g - z8kq ,j+ycj*aufmaximum force cj+ta-z u y8g*j2fk ,qof $5.20 \times 10^{5} \; N$. 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 prm q 68pztoyp-3essure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surfac l kulv063vpz1e of sea? (The density of seawater vplzvk6 3l01u is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surf n/s-/pdidaedceru:4b)+oj 5ace of sea? (The density of seawater is ai)dpj:b c srd- //ud+en54oe$1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic m c9omn1;(m8wcs ocul +achine. The small piston has area9w( o; snl8mmocu cc+1 $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lif k.an/i/r g-frt, the small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What inga-.fk/r r/ 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 hydrae l6wllaexjdc , +13-u3(ng doulic piston. What force needs to be app-+u3e xnl,eadc1l6j gl wo3(dlied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has ao8 n01fgtwv ho5t* a:s diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift r1ns g:w* vht80oftoa 5aises 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 andj/m vgv2el, 4m3k c0mo 30 N in water. What is the buoyant force of the m3vcogvlmm4 0j 2k,/ewater?

  An object has a volume ofqu5osy0 z;)ar $4.0 \; m^{3}$ 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 submernm,:f u 9q/q7bwa.t ffged in water. What is the tension in the string? (The specific gravity of ira,9ffwftq :7 nq.mu b/on is 7.86.)

  If the density of golxx7m7ii/zag8+wlqp 4u 4qmpzp k9l hz 2d0++j d 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 submarine (d: sfd22tom fs90wnb2j ensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 zbke2 (fe8iq,tcz9;aw kib a* d e:q)2it is immersed in water. What is the specific gravity oa( 28,zebbqcz tkd;2a:qeiw e)f9 i*kf the object?

  A container of water is ::)msworscb y9s3;kw ao*r4e placed on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a th: m* s;9)wrosrs ceoy43k:bawread 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 density of ec l;* nv:zf vlvgy;vdt/7o/2$2700 \; kg/m^{3}$ 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 d7h2az 3+n5foy1d tsioiameter 2.0 cm will just barely float in water. What is i37 i5datzfos+ o21h nyts mass?

  A rectangular box of negligible mass measures 5.0 m long, )husez;reu;/b /tcd 5 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box bu;r uzce;5dhb/e)st/ efore 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 c ;cjh)/ b xccf5ip7vnz(3y/mits volume beneath the surface of the water. The weig5 fjm3/yhvixz/c(;cn)7 c bcpht of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of xyk) 1u( .0viltafw;s its volume beneath the surface. What iw. y1iv slka0xf)tu ;(s the object's density?

  A 200-N object floats with three-fourths ofva/a 3 eqr3dc8 its volume beneath the surface of the water. What is the buoyant force on the objqeadca 8v33r/ect?

  A polar bear of mass 200 kg stands on an ice floe 10(g klcca trh6*qo7p q,w3sl100 cm thick. What is the minimum area of the floe that will just support the bear in saltwatlkqhqgl w (c *3cosa7r,610t per of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a piw n2/.xq9*g85 cjedh bro9stmb0 jp5ope of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1e wl:;*g vlbap)m.v- gbm 0m2w.0 m/s. There is a 2.0 cm diameter restriction in wgv: g 2mb;vem)wl*0 la- .mbpthe line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horiz9a rj9lj1fu (bontal 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 hrnq4w hz gu3 8r1lwh t2g()i6with 300 kPa, if the fountain is 30.0 m abovug wwrzn 36h(hl4q)i tgh8r12e the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tan usgnobd0-;e/y4-9 1bor ,f)qxhyq2 hjvjq:zk that holds water at a depth of 15 m. At what z b:,ejoq41 ;2rq db/ njhx0yghyo) 9fv-uqs -rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectio9ya uwvj1j;6e8tyc2enal 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 0t k/)t s5l/xcv.20 Pa-s. How long would 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 the oil is kept 6 cm above the top of the neck, and neglect any drag ef/v 5/ tckl)xtsfects due to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an artery decrease0je.rdi9/lewdy a/7o z lg .f)d the radius by 10%. By how much w gll70dzdfe)/ w.9jy/ia .eo rould 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 diamete0mtqpl rb4cm++ u6m8ir of tube B. If water rises 24 c 4uimcqrmtlpb 6++ m08m in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water 7 mwce j9f+a8frise in a capillary tube of diameter 1.2+ 8jffe cmwa97 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary tiobu:m,8mm( a ube with i 8(,ab momm:ua diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of watep44 wcdsj/w.zk0 ogk. r, 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 adpwo. .gzd4 kc jk0s4w/dition of some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular framqj:.gimfbp+4z i9n q:rkpg59e of length 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water 4p .b rf+9pj:9 qigkn qgzmi:5is 0.0260 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length wmzj t x-fa6w14vn*iv16ujv912 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 s61wzntv a*wvj9 xmj -4 iuv1f6urface tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?