The three common phases i2,e14u ;1j gfervegh of matter are

  Density is

  Substance A has a densitynw9p5 , 91vi-cncfyzz 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 is3rgq 6+dmjb9f not a unit of pressure?

  Consider three drinking glasses. All t(a1dnr 4s*b kahree have the same area base, and all three are filled to the saar1b(s kn d*a4me 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 pressure at the bottom?

  What is the difference12bhpvyk +n 8d between the pressures inside and outside a tire called?

  When atmospheric pressurek- z0tl g2q*q2fv3*s0qsppn c changes, what happens to the absolute pressure at the bottomq l pz q*-vscg*23 ktp0sf0q2n of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you l/lp.fj lkzk8b*gwa7- / eh. ddive to 2.0 m beneath the surface, what happens to thehzf e-llpk8.g/kj *b.a7dwl / absolute pressure on you?

State Pascal's principlu;9pfa9(9kinm a u/*vl(yzi2 zucc *c e.

State Archimedes' principcn25(;z ceudbw4np6ale.

  $50 \; cm^{3}$ 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 coi9 k n;sb98 .-iu0mrirlllr l4nstant density, what happens to the buoyant force on itl0irk4ll9r 9siub.l 8 n-mr i;?

  Salt water has greater density than fresh water. A boat floats in both fr+kv hjkuwt-3 ph4 *k6pesh water and in salt water. Wheret v*juk6pk+h -wh34pk is the buoyant force greater on the boat?

  Salt water is more dense than fresh p q.)* (muu rv62d jilvt/dd-ewater. A ship floats in both fresh water and salt water. Comp d- .6 /pd2jtm)rdqevi lvuu*(ared 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 of mercury. Where is the qz8hc;6oicri.j 4zv ; buoyant c o 8z4rz6.;hjq iciv;force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next tow11z pwd5)a 4 h/znbun a 10-kg piece of lead. Which has the greaten1 azu1d b5n) /wwp4hzr buoyant force on it?

  A piece of iron rests on top of a piece of wo : pgbgg0a6.riod floating in a bathtub. If the iron is removed from the wood, what happensg6i:0 g .pbgar to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits on top ocv6wd:z6 x4x:p.2bfel p (lat f the first piece, and does not touch the water. If the top piece is taken offxx:vp ll:4(2 t .facpzwb6d 6e and placed 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 is large)jre*f8+gm n ;e*mk eur than at point A. Where is the speed of the water gg8r m;ukee**+)nj e fmreater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens t4cr6am 1 mdp1 +cu:,rv,wi nyao twice its original radius,rman4c:1 c dwiv6,y+ muar,1p what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s rur j1w4opl4 +in a horizontal pipe. If the pipe narrows to half its origina u+41wjp4lro rl radius, what is the flow speed in the narrower section?

State Bernoulli's prini/2b . wlt8-m1kr7 tlq,zv xlmciple.

  Which one of the following is associated with the law of conservation of ;erhn z2 aj-p)energy in flh2;)pe-zn j aruids?

  As the speed of a moving fluid incrrlsj*gi(,cgai*tf 8 1 eases, the pressure in the fluid

  Water flows through a pipe. The dt kqqaa 68/:vtiameter of the pipe at point B is larger than at point A. Where is the water prevq 8t aa6ktq/:ssure greatest?

  When you blow some air above a paper strip, the paper rises. Thi(qtrmw/ ;swm;m *gsdzu9e5jy ,l: d k-s is because

  A sky diver falls through the air at terminal velocib) mdcibdo-uh55+p c 1w- co-dolad -4ty. The force of air resistance on him isp 5c5 l4c- m-buh1o cd-d+-obd ia)wdo

  Two Styrofoam balls, of radii R and 2R, are released simultanerr4o*q- /g z9va6 zl en4ckkc1ously from a tall tow9r*1-6 az/ ezk nvlqg4rcck4oer. Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it expirb6 n3huos q,tnnix49t8xn f- j4y./ eriences a dr8nr4nnysf6, j o .ubxtith94q/3 i-x nag 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 /ly0r3f,lb3apnv )kp*sg4el rd(i4vfluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in the flow rat/llaypvnieg)*d kp3rr4 4s b ,3fl( 0ve?

  Two horizontal pipes are the same length, but pipecxabtp/i(z sd8 r)u:f5v 1ak ; B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the bc;zti:apd1)ka5 /fv s8ur x(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 lokv7634cmca 8(r hfju:9;vi rnn hxti0ng as pipe A. Water 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, 6vnvmit3 (f4jkhxinahr 7; u c89r:c 0what is the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This f i8(r/ tdqmglk:*o3 u"greasy" taste seems to be associated wit / qt*3u o:rf(8kgdilmh oil spreading 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 jvnz7+u lnv7n:* 6jf c-2gmigplaced in water, the water rises to a height h. If the diameter were half as great, how high would the water rij*zg6-lnv 7n:jv i2cu +mnf7 gse?

  Certain insects, such as the water bug, are ssa3p 7f pf jgw2y1gx8eh*+gn-w0 3cj mufficiently lightweight that they can run on top of water *1s7a0hpg+fg 33wpexnjf8y2 - c jw mgwithout 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 c,8x jdexf0an:,v/ fd+ xt7txthat 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 ponfxt ,e 08+jfxxtd d:/7axc,v ssible 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 2x1*lq4n0 5xa jhgddevn +l +l3.00 cm x 4.00 cm has a mass of 30.0 g. What is its density?a5h0qlxx++*1d 4el gvd nj2nl

  A liquid has a specific gravity of 0.357. What is vwx534as2x hc its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0q .f03(9nun blazw:qq1fzyr/ cm x 4.00 cm. What is the maximum pressure it can exertqnu0q9ly nfa(w fb rz ./q13z: on a horizontal surface?

  A person weighing 900 N is sta6)hmozfvpj(tb:v tn 2 qj+8.jnding on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine wir3i 5f3qjd s 1q+rnq.wthstand at a depth of 120.0 m in the ocean? ndrs31fq 3+ir5qj.wq

  A circular window of 30 cm diameter in a submarine can hvsz w/u: v)4e1 a2u;2*cxv xffaku6 swithstand a maximum force ofav 4k2v1zc2xauus*uv fe;s6x: w f/h) $5.20 \times 10^{5} \; N$. 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 presq:n-c/ jrjtj2sure is 300 kPa?

  What is the gauge pressuredj r*vf4:kb3 z-r f1na at a location 15.0 m below the surface of sea? (The density of vj41drz nbrkf: a f-*3seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a l.xk gc;+cx8v u *r(ft7 cpe5zcocation 15.0 m below the surface of sea? (The density of srpxz+ k7gct c;vc5(.ex8f*cu eawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The smada-o8bjoe1r : ll pistonoo:rd 1 8bj-ae 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 lift, the small piston has a rcesy 8,+z led .39qyom7s-sdnadius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piez7sdd8 smy+,oyn 39-elq. s cston 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 hy/lxy(-; nkr lfjiye(:bw t3zatz848n ;)ipz bdraulic piston. What force needs to be applied toelxlfinr a (k iz3tw t8yb;/(:z8b -)nz ;yp4j a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a li;;.8efc rmy diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,000 myfrl.;;8ceiN.
(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. What is the q cxgb v,7fjk22tfd; ki/ at4-buoyant force of -2tkct; 42qifj,7v dxf/k bagthe water?

  An object has a volume of+r7wj)mltvs9f**stbs xc /x 7 $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supported by a stringoa, ej sv9.(oc while submerged in water. What is the tension ins,v.cao9o j e( the string? (The specific gravity of iron is 7.86.)

  If the density of gold is *ww,m3ie4 m co$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (densitb+p al l1zlj .+gbt)m h9t.)xz 4xhd8hy = $7.8 \times 10^3 \; kg/m^{3}$) 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(b5:d ,tlek u5 6eogqqbcn .x8.86 N when it is immersed in water. What is the specific gravity of the objecl6e e5,5butb(n k8d. cgxo: qqt?

  A container of water is placed on a scale, and the scale reau,n0,j 4gjlnikka -qf l)f -9cnloh 60ds 120 g. Now a 20-g piece of copper (specific gravity = 8.9) isu- )90o fh6llni,lcn,j-qfkk n40gaj 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 withzak + etp2(5o i -(4hmua6fhufuivb-aa16 t1 y a mass 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 1+m1sggnn - vvc)1lz- b2 cm and diameter 2.0 cm will just barely float in water. What is its ) nz1b-nm1-gvgslv c+mass?

  A rectangular box of negl16ua m;aco hy+dghz kiol-:yb.:e )0nigible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How maaozm6-hh.: : k y lna+) obug1e0yd;ciny 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 volume beneath the surface of the wata pq,bd888ezyer. The weight of the displaced water is 2000 N. What is the weight of the ob p8z, 8eydab8qject?

  A solid object floats in water witr xg6xqf u*vv107b8ph h three-fourths of its volume beneath the surface. What is g860q1 uvxhvr x*bp7fthe object's density?

  A 200-N object floats*o v)9l(v opun with three-fourths of its volume beneath the surface of the water. What is the bo9 pnvl*v)uo( uoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. 5gqwmgpyq 8(6l i rz(g,yd/x6What is the minimum area of the floe that will just support the bear in saltwater grx/6yg (, gqp wml86ydz5iq(of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diam:uvhwtp 1 b*4 9pczjg.eter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 q2 yuud lg6wuc*u c90.cm diameter restriction in the line. What is the velocity in this restri6c wqcu.dugu 2 *09yulction?

  Water flows at 12 m/s)8:nspu : nw3ns;d0e m a svg+xw fi9fxko6/j- 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 take for a pump to sup1 f k8coyghcr2k3hf 21ply a drinking fountain with 300 kP fyo hkc2 g3ch1281kfra, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a wavudc5+ d*uezoys2kn8gb ;;.yter storage tank that holds water at a depth of 15 m. At what rate wilzvcy g2 s.o n;dybu; 5*ud8+ekl water flow out of the hole?

  Water flows through a horizo7:bzxv ( qes0mntal 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 pz,x ,nd4j29 muze(k lit take to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diamet(zp njzeu kml d,,x294er? 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 f+yiv8;v cjeb b.ca(a q+0+mw patty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increase0.vbpaiw8ymc; a +b++ qv je(cd to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the q2 .hguenl 79ndiameter of tube B. If water rises 24 cu.n2ln 9qg7e hm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high wi+o tfrkac5z2)if+yv/ ee r4w v*j8p(rll water rise in a capillarrwfaeo2e8rizt+ rvv5 4fy/*p+ j( )k cy tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsiunhb8o5c j5r;jlfz, i+m 0d5e)qw z+aos rise in a glass capillary tube with a 5m5+ jnchab8 z+le;wo5 )fj0d izq,rodiameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rir evy6f13c,o 7huzf54dj2 f vises in the tube to 4.0 cm above the level of the pan. The surfacee, ruv 5 zodf7v6hjf4y13ic2f 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 anddg8ggwau i 3m6ec 0cf-r7jt9 0 width 0.600 m with a soap fildr6m eag9i8c0-t 73gwgfu0cj m 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 the 0.600 m side?

  An adjustable rectangula5 )8s4rfhw6 3 ctmmwryr frame 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 wsm mr fcwry5t86)43h the adjustable long side so that the frame is 12 cm square?