The three common phasesdaax .4fn/ c/a of matter are

  Density is

  Substance A has a density9n 8e y kx:dksc12zd0f 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?cn9zw w 65lor l-jag5v 8cp(o u/,on)x

  Consider three drinking gatsr+ mt-t +e.bdl+ nw/(9fkl lasses. All three have 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 9da-kms.n +/ftb+lew+t(lrtA. 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 cauq/7+ g5cwvr 8l* untmlled?

  When atmospheric pressure changes, what happens to the absolute pressua 8 h,m(1keev 6byzkc7re at the bot(y8 ah1e emkk,c6zvb7tom of a pool?

  You are originally 1.0 m beneath the surface of a pool l8kjyj0ch np b.300ge. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on yo ybgj k0 3.lje800nchpu?

State Pascal's principl zu/9j..kgetko wei2 .aw7xk8 e.

State Archimedes' principle. ;+1e yr5mmyzy

  $50 \; cm^{3}$ 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 c 7kyzg3hx e:q2onstant density, what happens to the buoyante2kxygh3 z:7q force on it?

  Salt water has greater density than fresh water. A boat floats in both rf 2i9mbv(s i8-vct 6vfresh water and in salt water. Where is6vs(8c 9vbtifi -rv2m the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship ulh8aj. (ugh51;wi,p93co zpo+gw bqfloats in both fresh water and salt water. Compared to the fresh waloh,g aoz(3+ uiq 9p1b 8w jcu;gw5ph.ter, the volume of water displaced in the salt water is

  A steel ball sinks in water but floaw7, ld -hwbqr+ts in a pool of mercury. Where is the buoyant for 7h-r,blw+dq wce on the ball greater?

  A 10-kg piece of aluminum sig to0a2x2rhhr+yvo e+,n/ ( aqned.;dts at the bottom of a lake, right next to a 10-kg piece of lead. Which has the grea(2ev adnox+/, r;ghro e ndhyt2.aq +0ter buoyant force on it?

  A piece of iron rests on top of a piece of wood floating rkpf2 x)b: h:oin a bathtub. If the iron is removed from the wood, what happens to the water level ix: :porh2bk f)n the tub?

  A piece of wood is floating in a bathtub. A second piece of.q/j,84 i bwp4e/vr0m utxknq 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 0utjxnp kir 4vqwb ,84q m//e.water level in the tub?

  Water flows through a pipe. The diameter ofmb 1ogb-v 3r5t the pipe at point B is larger than at point A. Where 15-vrg o3bmtbis the speed of the water greater?

  An ideal fluid flows at 12 m/s in a w ux/vry.5t. fhorizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wrf. wy/ vx.t5uider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrl9gqm iivc:o sr2y4.; dgf;55;a avztows to half its original radius, what is the flowdf ;4 l9.vgo iyt ;5;aa gzc:qisvm5r2 speed in the narrower section?

State Bernoulli's principlei la9c9 zyncs dhf/bu 9hp15c o4/e52i.

  Which one of the following is associated with the law of conservation of enert2y rut64w8 jjgy in fluids?t w4uyj26j8r t

  As the speed of a moving fluid increases, the pressv)j9uc n*i+en ure in the fluid

  Water flows through a pipe. The diameter of the pipeiof) :.d;vaq e at point B is larger than at point Ad)v ;i .ofeaq:. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper rx bx3,i(qwx m pcmm+a17 (0kunises. This is because

  A sky diver falls through the air at terminal velocity. The force of aic6b(p*;w o5c9r id80p ezki dgr resistance on(k6*ip5bg zr8pcoc;9 0d w ide him is

  Two Styrofoam balls, of radii R and 2Rrx 3+fk ydginu-618ec, are released simultaneously from a tall tower. Which will reach thing- 3x+8uek y1d6crfe ground first?

  When a small spherical rock of radicvn*( dwlgn 6 z;/ /m*ih(qdnmus r falls through water, it experiences a dran w/ n/v(* cddg(q mi;h6n*mlzg 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 greatesod.ewvon1v 3 3t effect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the great1onwovvd. 3e3 est change in the flow rate?

  Two horizontal pipes are the same length, but pipe B han0it4ckh7ti pg 7e(k9s twice the diameter of 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 A is Q, what is the flow rate in pipekpit te7n49 g k(hc0i7 B?

  Two horizontal pipes have the .a 5koj,ecla*5tl4od same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipeootd 4k*lja,ae.c 55ls, 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 tastes greasy. This dye 1a g,*gc* btnn v80t1-lpdgfg +/3dbb 0kk"greasy" taste seems to be associated with oil spreading out all over the surface of the sokbg+ 3p/ 8vy d -10g*e kn*fbbtncg1l0,addgtup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water rises toab8cf/wj76,csjhk z/0v,w mgun8 )mr a height h. If the diameter were half as great, how high would z,n0mw w 8gmsjurb/f7ch6k/ c)ja8 v, the water rise?

  Certain insects, such as the water bug, are sufficiently lightweightj4) y3 q ub7-2uenjq *e9xi4jvp( /x ktpy2bnx that they can run on top of water without breaking the sur9ubjtk2x/ -nxb ieuny )*qe qj4xp3j4y2 v7(pface 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 sufa . 0((be7cbh mcdsf- lu;*wtificiently 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 is twice as long, twice as wide, etc. What is the maximum upward force on the feet of bug B?0c7su.*;c-im lab dt(ewfbh (

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm has a maseqje 8zc2rn;n;( -llgs of 30.0 g. What islrq;ngeel 2-(n j;z8c its density?

  A liquid has a specific grd/mofj*,8agb.v eef6 avity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 6*l92ex mgtzl( r nga+10.0 cm x 4.00 cm. What is the maximum pressura6 +(exnlg*m2 lz9gr te it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes gxq. 7pbko)4qadb w,2uj60hg. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submar7x,9 nw z-;ilyj10xvg6zev.+(b l o -bpbuhyl ine withstand at a depth of 120.0 m in the jbx;0u1(i9zhe-nx,y gblb y7v -+o.l v z6lw pocean?

  A circular window of 30 cm diameter in a submarine can withstand a maximxq9t8x0gmju9rll8p- y t +kn. um force o -tq0lk8jx9yx8nu gt+ pr.m9lf $5.20 \times 10^{5} \; N$. 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 309e i0+cu5tfdjpo3 oh c7ri:0 d0 kPa?

  What is the gauge pressure at a location 7,aro ho9 n),bu gnjq815.0 m below the surface of sea? (The density of seawao 7b ,)r8un,ojqgah9 nter is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a l:vo n wio1tor0a2f 8wsdplo h+1, zj1/ocation 15.0 m below the surface of sea? (Th1oozdp2hj18lrsowf:v0n /1a tw + oi,e density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic mach/-jkir2/uint 2 vpckt.1 iv2vine. The small piston has aren kv2jr/uti v2/ i.pktiv-2c1a $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small pis16y4hdq dac-v- 0ge0 rc cen2cton 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 20,000c64yg1ve0ecd da--h 0 r2qcc n N on the large piston?

  A 13,000 N vehicle is tl*3w j,b8 ( 1 wikrxnyfipe4)ao be lifted by a 25 cm diameter hydraulic piston. What force neefnw(831yrpax ,4j*k)ewi lbi ds to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large pizx4h lotq jzvy4/;6+o ston has a diamel4z hy;xzqotv o64j/+ ter of 40 cm. The lift 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 inkyu,)65g b zgs6hltr 1 water. What is the buoyant force of the water?6 b6u sh,5yrg)1kgt zl

  An object has a volum x f,d57nsny+fe 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 byqw k8:bbjtdi+ 11e r,y a string while submerged in water. What is the tension in the string? (The specific gravity of iron is 7qi: j +yrk18e1wdbt,b .86.)

  If the density of gold is yx).md6o 84 3bggqaia$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel su)emj gh:+d u+bjfmm-n(1esz9 bmarine (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 when it is in air and 6.86 N when it is immeatlc) l+e;iss0 u16 :jwp/dmorsed in water. Wt:+pue dsl/js6c;a)lw 0 i mo1hat is the specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. ,)(vd+h kllav5 z9 zgtNow a 20-g piece of copper (specific gravity = 8 vt,dkal+hz9g vl5 z().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 wit5c9 c9di1,lzl.i3oq,s 8sqx9zf c bdvh 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 12 cm and diameter 2.x1pj: +fwvpwmx -;. rt0 cm will just barely float in water. What is its masswfmxw .rj :p -xt;+v1p?

  A rectangular box of negligible mass measures 5.0 m long, :ycz65 m0d5ch8egtep- op.qs 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the b5 y.c5qze6o-8 sm h:tpdpce0gox 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 s7 8*:ay6u,w njv(aga xwb5ei *l qzvfp;2eb3ourface of the water. The weight of the displaced water is 2000 N. Whabqv*w:a7io5evfa e2a b3n8xp;6uzgjw*l y(, t is the weight of the object?

  A solid object floats in water with three-foualgsr,7v .. vvrths of its volume beneath the surfacevga.,.rlv s7v. What is the object's density?

  A 200-N object floats with three-fourths ofcnar+j ckjgt 961- p1f its volume beneath the surface of the water. What is the buoyant force on the objer6c9 j-gj acf kpn+1t1ct?

  A polar bear of mass 200 w 49lo afv(9nic)we-j kg stands on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in sawa 9-c)9ofv 4nw(lijeltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a f+f i mc(7uxe8one1 g,pipe of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pip3sb:blba i78g- t tm1 x*h0ofpe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocit-3p8hb7x o f0:ls*tga 1bibmty in this restriction?

  Water flows at 12 m/s in a horiz /bw1l05 nixmeontal 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 itk;hq4a8 nfuwk. t4e7pg(hl z) take for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m abovza.kw(q;4e)gh87ukl tpn 4 fh e the pump?

  A hole of radius 1.0 mm occurs in the bottom of a.af * wg bcrkl/jr/3t* water storage tank that holds water at a depth of 1/ r.br glf**jwc/t 3ak5 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-section uryw2 *hw8s, ;3mex( pfdd*pqal 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 pour 4.xsfdo -pe:y htp,r)2:0 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 kep fop):y-h 2:rpet,dxst 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 apa6v,w,a /k yqrtery decreased the radius by 10%. Byvky,q wa,6/ap how 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 theg97,aypd st(xr.7 ewx diameter of tube B. If water rises 24 cm in tu(xwd,age7pr7y t9sx. be A, how high will it rise in tube B?

  The surface tension of water kcz,.q*y+u vss1n( hwz)u59wa a uy l1is 0.073 N/m. How high will water rise in a capillary tu9qwcs(uyn l,1z 5s+z1* yavw .)au kuhbe of diameter 1.2 mm?

  232

  To what height would water at 0 degree pm4,p)2b cfde7hddry 9n7uz4 Celsius rise in a glass capillary tube with a diam)pzp2he7mdub9 d nryf 744cd ,eter of
0.50 mm?

  A narrow tube is placed vertically ie *ljm07ic0a fn a pan of water, and the water rises in the tube to 4.0 cm above the leve0ic70*e ajmf ll 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 the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m16 1pvpn51f qc)icz e-ebfg,i with a soap film f1- n pgfq)5zp1beefivi1 c6c,ormed 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 rectangular frame has length 12 cm2o) gc:eoh hg7 and width 5 cm, and is built in such a way that one of the longer sides can be m)h:goh e7ogc2oved 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 adjustable long side so that the frame is 12 cm square?