The three common phases of mavp7+ecnwa l (:vxm0;7irue dhg58+ob tter are

  Density is

  Substance A has a defb be.sd*-o2t gsdv6) nsity 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 avked 9gxm)+16-weq n 5hc: hxx unit of pressure?

  Consider three drinking glasses. All three havel:)3(ade w hxseh +hpi4(szs2 the same area base, and all three 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 than at the bottom, and so holds less water than A. Which glass has the greatest liquid pressedhsh+( p3 )x4lza2iw(s: she ure at the bottom?

  What is the difference between the prqus*4.3oax q.et 9f bbessures inside and outside a tire called?

  When atmospheric pressuv6s3x* jiekw7j n4qb3t za p3;re changes, what happens to the absolute pressure at the botto3ja 7ei3jqvk 3*wt6;x p4b zsnm of a pool?

  You are originally 1.0 nvr7 w cf)c9 (cv9m3qum beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute prfvu vwr97 cq9nmcc )(3essure on you?

State Pascal's princiq cpoo (9to7,bple.

State Archimedes' princt;zfwxruw5b9+7ie d 8 iple.

  $50 \; cm^{3}$ 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 czig 9zh9l.lj2w):e g ,t:ho mwonstant density, what happens to the buoy) lwewg9m.9th2jl,h: :zoiz g ant force on it?

  Salt water has greater density than fresh water. A boat floats k 46 e;p4jrgrjin both fresh water and in salt water. Where is the buoyant force6g ekj4 jr;r4p greater on the boat?

  Salt water is more dense txxbj3 b(/nz2h han fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced inz /bhjb3(2nxx the salt water is

  A steel ball sinks in water but floats id)97t rby6if7yan cz/ n a pool of mercury. Where is the buoyant force n9 /ya)7c trfi6bdyz7on the ball greater?

  A 10-kg piece of aluminu 68xq*8 shyh* pgk)llnm sits at the bottom of a lake, right next to a 10-kg piece of lead. Whll8gx8*)sny 6 *hkpqhich has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a baf4p mbc5/e)26qefh ebthtub. If the iron is removed from the wood, what happens to the water level in thef2ep6 mbhe/ c5q b)4fe tub?

  A piece of wood is flz8xh kxe**5q ooating 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 wateoxh 5xz*keq*8r level in the tub?

  Water flows through a pipe. The diameter of the pi+- be2e;kc,xqljwde1- teh- spe at point B is larger than at point A. Where -+ ql jwced e2,ekhs1-; b-xteis the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twi v8dk7jm8, bjbce itmbk dvj8b ,78js original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal piph90vkm2v: fd xe. If the pipe narrows to half its original radius, what is the flow speed in the narrower sexv d:209fk vhmction?

State Bernoulli's priz-qz +ow5g; ummf - gton(ao)8nciple.

  Which one of the following is associated with the gdf4 j v2hu1 fqx 2q64.1yvgsplaw of conservation of energy in fluids4qfdhyqg6v2v2 gxp.4u s f j11?

  As the speed of a moving fluid increases,9e), zpubu+ uz the pressure in the fluid

  Water flows through a pipe. c7o p w caiil) oqvq-,/y299fc The diameter of the pipe at point B is larger than at point A. Where is the water ciwcl97ap yqv o,ic 2q)-/f9o pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is because*8ffii g 9+ k;fiunde4

  A sky diver falls through7iwh:bwk7b 6b the air at terminal velocity. The force of air resistance o 7kbwbw6h:7bi n him is

  Two Styrofoam balls, of radii R and 2R, are released simultan k3a-z0ni kb+e7wt1 qp np2)2atw;klweously from a tall tower. + qtnzie37 knk0 tp;w)2 1kp2w-wlbaaWhich will reach the ground first?

  When a small sphericazil )u82)x zis;22e1ahg9ol:cnprw a l rock of radius r falls through water, it experiences a drag forcez8 1paa r 2u2lgc:h wsil)ioz;) ex2n9 $F=arv$, 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 picm4r ;dmxmms z/d, )a jp9;en.pe? That is, if you made a .xmdad;z;sm p)c emr9/4nj,m 10% change in 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 the dias;ny)sub6cu2 gs .un7 meter of pipe A. Water undergoes viscous flow in bothuungnc s )2;uy bss76. 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 twi) wifujaa3(s8f k4t,k ce as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengtf 48j)a(ks,wu fi3ta khs 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 "greasy" taste seems to *g/zq izh;1igbe associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", thiiz *ih gg;q/z1s is readily explained in terms of

  When a tube of diameter d is placed in watex/ rw4/ ng /v0ch.kkmlr, the water rises to a height h. If the diameter //cm0k .g kwx/4nrh vlwere half as great, how high would the water rise?

  Certain insects, such d:klhvs8 vs-, 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 dim s,8hd:vl- skvensions. 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 sufficie*m t u)io 0j4+xnhh5akntly 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. 4 *)5io0mjxht un+akhSuppose 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 30.0 q8 ec ek9jx-vad3:u0a g. What is its du 03ec d98jx:e- vqkaaensity?

  A liquid has a specific l0(h 8uhgk yb.gravity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30ww0 jy;o+* pr44fhcby0 (xq hpuov6y*.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert ocyb0 u4yq f0+rhw**yo ovx 64whppj;(n a horizontal surface?

  A person weighing 900 N is standing on*do1bilp1 (v5 ew mpfxbk;4,w snowshoes. 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 t59,*x1s/xds ssq b2o;sgfbn of 120.0 m in the os /;s9bq5s t21*dnssb,gfxx ocean?

  A circular window of 30 cm diamet2cw ylt 1lf4rnh dr6 .y-l+gh ,,ftsp3er in a submarine can withstand a maximum force owh3fsf4- l.ychltnrg ,ylt,1 r pd26 +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 the absolute pressure is 30. +*yxvy6ai he0 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of0r 5n otorob.. sea? (The otr0..robn5 odensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a ausw0:dq/vow;8m au ,q ;u7u mlocation 15.0 m below the surface of sea? (The w;s;,uad0 u/mu7 w:v maq 8oqudensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a h0 mvnqy- ,8wpxydraulic machine. The small piston has armqv x,-8 0wynpea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lr gs1g :npr+ 44p1 m1fayfvu6) luelc7ift, 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 small4 s:6 1gugp+l)ap1rmu1 4cefvn 7 rylf 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. What vfar* kn+* 3tf2thr7oforce needs to be applied to a 5.0 cm diameter pisth k*o3+nf7r t*v2 arfton to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0o3;6y orzoc n0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15r y60 oo;o3ncz,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 aty d3hjv,bwo* .g zf0d(82 ce30 N in water. What is the buoyant force of 38ab 0 d *tjzcw.2,oehgv y(dfthe water?

  An object has a volumf)jhj7.ieu 4te 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 suzlh qy7duejkm*,2+ .wpported by a string while submerged in water. What is the tension in the string? (The specific gravity of izyq7*jh.,wed k mlu+2ron is 7.86.)

  If the density of go1 wosjh6:1p)c aann0eld 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 steel6j;n blnfgt2p +x3m2r 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 wv1ekmk3)i 8by hen it is in air and 6.86 N when it is immersed in water. What is ti 3ky v8bm)1kehe specific gravity of the object?

  A container of water is placed on a scale)dqbh-1dnp2o6 ne0 an , and the scale reads 120 g. Now a 20-g piece of copper (speci0p2d6dn-1anho ) n bqefic 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 mass of 1.0 kml /4 gs jp63)i 4fb(mtmlh-1ccjo.ycg 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 2cae4yymtc m91v)p )xcws1idk ))ff28.0 cm will just barely float in water. What is itsc2m )ey ksw)pf 4m1xi 98d)y)vac tf1c mass?

  A rectangular box of negl /w l3pbkcocdim8335zigible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How 3b3l3 /5c8 ocd zwimkpmany kilograms of mass can be loaded 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 volumroy eu+* smpo wy2rw );n0d+r)e beneath the surface of the water. The weight of the displaced water is 2000 N. What is them yywo +2u*drnrw)0)sre+op ; weight of the object?

  A solid object floats in water with three-fourths of its volumenckk6:(suv;* bng,st5w g7 ja beneath the surface. What is the object56ksv:cguk j (7w;*,bat gnsn's density?

  A 200-N object floats with three-fourths ofu p c .1or78/ x8o)xbzpxhkd*s its volume beneath the surface of the water. What is the buoyant force on pxxo1u7px d)8/.s 8h*kzbco rthe object?

  A polar bear of mass 200 kg stanedi ) 21tmyk- +dvdebs8ja. 1pds on 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? The specific grav1p8e sid mt2a+ - vkbd1)jedy.ity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 bedty)f/ ;eycl * 2p*kis +;hsm/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. Thrk hz+i lx9,3here is a 2.0 cm diameter restriction in the line. What is rh+,h3zlk 9ixthe velocity in this restriction?

  Water flows at 12 m/ vs// txbdu-+;wsao t;s in a horizontal 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 taktpk1f3ly;p-fscj0ec s v/ *b- e for a pump to supply a drinking fountain with 300 kPa,sffs-- *p1k3 p/je;ly0c vcbt if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of 2hpezex zc),.nr ba15 a water storage tank that holds water at a depth of 15 m. An1).zar bh,c5 zeex 2pt what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectional are3+ srz/c 8syp,1ikesi3klpz1 a $10.0 \; cm^{2}$ 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 p.zn p7bwd4e;j* ;umsnour 4.0 L of oil through a funnel nu e7 w m*;.;nj4dsbpzwith 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 of fatty tissue on the wall of agey+ /;0sv3aqmqz0 dxn artery decreased the radius by 10%. By how much would the pressure provided by the heart hav0/ qvgs 3;xzd0yqem+ae to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the diamr7q (qo6e zlhm**0h mpeter of tube B. If water rises 24 cm in tube A,(7rhpq* 6zlme*ho0qm how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. f c zg(r3 o0fgs5p7.px How high will water rise in a capillary tube of diameter p.fg p(0r7sogf5 xz c31.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capill-49r eizgtcy+ -uy qh-ary tube with a diameter ofyzih -et 9-q4gcy +-ur
0.50 mm?

  A narrow tube is placed verticaldeeep,5a cuodd;6 u7 6ly in a 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 by the addition of some soap. What happens to the height of tepa;uoe6d6c7, d due5 he liquid column in the tube?

  Consider a rectangular frame of length 0.120 m r-+dnkfla:g4 and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy wat n:l 4dagf+rk-er 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 an.vie+,iksj( at) srtk ee7k75d 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 wiev) kite5se 7k,j t.aks r(+7ork is required to move the adjustable long side so that the frame is 12 cm square?