The three common phases of mat .aungqcz/nna8;n5g 50bnz4a ter are

  Density is

  Substance A has a dens:0 i(fqw li:r/fetp a*ity 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 iap+)lej7efe-b1 sj 0cs not a unit of pressure?

  Consider three drinking glasses. All three h*opnas5znjv:w h8vj :jyy(+ 4ave the same area base, and all three are filled to the same depth with water. Glass A is cylindria v8 o h*p:5: jsnjvz4jw+n(yycal. 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 pressu..ocgy8ua 63lcf b8 -jrc:qms res inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute p; tfrjta7lda buan ).0iektwaq2;o) o )4e;c- ressure at the bottom of a pool?n atojlt;qcb i .ta)ed-f)042;roea7w) ;uak

  You are originally 1.0 m beneath the surface of a pool. If you dive t ogh uw*+t2t7jo 2.0 m beneath the surface, what happens to the absolute pressure othg wo7*jt +2un you?

State Pascal's principf* )wlzofuz+ m8xv9d.le.

State Archimedes' principvvlp y v0rqr,a i0moy wy8g+60+ ll63ble.

  $50 \; cm^{3}$ 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 oll ., q2h/xos n30rway7us*rnf constant density, what happens to,7lqnwo3u2s /sr lrhn.a* 0xy the buoyant force on it?

  Salt water has greater density than fresh water. A boat floats in,mm: *gb*ok;jf5:gopjk 8 p pziw(ji1 both fresh water and in salt water. Where is the buoyant f;z pigbfp *:oi(jjjo:gk*w81m kmp, 5 orce greater on the boat?

  Salt water is more dense than fr: 1gbpyc5 wyl8esh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt water isbw51pcyl:gy 8

  A steel ball sinks in water but floats in a pa6vsj9p/gqi x5 ac2y) ool of mercury. Where is the buoyant force 5 qx9/cvp)ga jysia62 on the ball greater?

  A 10-kg piece of aluminum sits at b,9 tg3wlq.,* +dst jop7:zq rkok2h lthe bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyklzk +d7 q9gljb ,2t,w3p:oqr*hto .sant force on it?

  A piece of iron rests on top of a2 ffa4f )q4qv1).2yxoqov f hc piece of wood floating in a bathtub. If the iron is removed from the wood, w2c4fx a.fvoqfq q)1)yo 2vh4fhat happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second y s;*o2gwk5nkd..:m7ggdwx n 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 waterskw5gndy kgmg2 o7.n:. ;xd*w, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at y*wso.5+i/rh ii1 xbwpoint B is larger than at 1ow/ihwb.* 5+yixir s point A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipevbuy0oqknor-6n gk r)z2qjs5/: s o4: widens to twice its originazq6os no qs- 5kk0/ry 4 bruj)go:n:v2l radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. owt:*e;kzyw5 p(wod iq,jm0:If the pipe narrows to half its original radius, what is the flow spo: zwe k,q yw:*jt;dw (o0pi5meed in the narrower section?

State Bernoulli's prinds7cakae-c a6:;.x o dciple.

  Which one of the following is associated with the law of consq7ynh8 4iq)o2+wn57/ov vl (aqay xo iervation of energy in fluidsi w5x q/oohqolvy(8an q)v2 a+yi77n4?

  As the speed of a moving fluid increases, the pressure in the fj3/mxq.sf(r r vnf7x4bkwn +z9h9l 5zluid

  Water flows through a pipe. Thno5e qg.j:, -wi6hm cce diameter of the pipe at point B is larger than at point A. Where is t6-5ce:igcwhq .nm j, ohe water pressure greatest?

  When you blow some air above a paper strip, the paper rises. T bpy3m zv-dg9dbq )(*n pv8c/qhis is because

  A sky diver falls through the air at terminal vel tp4,im- oc(h+lvp9rnpx )4u tocity. The force of air resistance on hro 4p -vx9mh4)+upi(tpt, cn lim is

  Two Styrofoam balls, of rg.37yrd oowyg 0:w ke4adii R and 2R, are released simultaneously from a tall tower.oyewg 7yo 3d .kw04r:g Which will reach the ground first?

  When a small spherical rock of radius r falls through wdhe4ni g2k5m h,a-g4;:cpr g water, it experiences a drag forcmk4g 5air ;,c-h dh g:g4pe2wne $F=arv$, 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 narxhd9s-r b.3f*kzgb n/j;m 2eorow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in th *ob.bxr /;sje3h-g 2kzmfd9ne flow rate?

  Two horizontal pipes are the same length, but pipe B has twice rt8r,9clfwd3 h77la pthe 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, c plhal77 t8 3w9rd,frwhat is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice zvr 2dm ;pqp . ,j,7eqovxye/.as long 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 r .vj 7.yqzv/p qxp ,eo;dr,em2ate 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 be ktddfw 3(/lj09f5o dhassociated with oil spreading out all over the surface of the soup, instead of stayf5 (3jd/kl 9d wo0thdfing in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is pl9 9s2(kitycrh7/o ns73 lkjdkaced in water, the water rises to a height h. If the diameter were half as great, how high would the water risei7h/(tdsj9lrksc k3 k29 no7y?

  Certain insects, such as the water bug, are sufficiently f2 u:aac pe1(x6 gcnd/ qit.4glightweight 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 (c2.4x6gfaci/gpd u:a 1qetn 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 lightps50* uvp*;71llxq h4ph 1co ; bjzuwxweight 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 bugc lxv;p;b1q xulh p4j75h*z0 1o*spwu 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 30.0a3 n6h posba;vc, go/2 g. /ocp,v6a a bg;2hsn3o What is its density?

  A liquid has a specific gravity of 0.6q.wrkik,o5x+ vk o s8357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm +-7oxvjipzj0. What is the maximum pressure it can exert on a horizontal surfaco0j- iv7jpz+ xe?

  A person weighing 900 N is standing on snowshoe,qn91fmgna, rs. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) mu+i rm3/dy; n- q)ematust a submarine withstand at a depth of 120.0 m in tha q;yrnm -/ud3ei) tm+e ocean?

  A circular window of 30 cm diameter in a submarine can )ob rs+ 0ma7hqwithstand a maximum forceqha b srmo7+0) of $5.20 \times 10^{5} \; N$. 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 absolujkxzb gn ;88y7*y q.bute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m te 9 ilo1;,*xrrvnv*abelow the surface of sea? (The density voanl*rvr* ,x9;1e tiof seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 1q/i 770ng o bm4uttme25.0 m below the surface of sea? (The density of2tqemb 4/7um 7t oi0gn seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraukn*hul+(wkn4 lic machine. The small piston *hw+u4 nk( nklhas 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 4tt93/dwti d wknw2*v 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 small piston in order to lift a cwv wtd2d*i9tn/ t34kw ar weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hr1 b)v.krlak e9no,c 8hmg0n5ydraulic piston. What force needs to be applied to a 5.0 cm diameter pistoclv0go95 nm )1,8 nhak. kebrrn to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and it0vyq9y p*3 i .;uea 2 twtnnfvwu;4z+fs large piston has a diameter of 40 cm.wufywt* z v9 ;it evf4y2n an.;3q+0pu 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 in wvpp2u*t y 6fihfv/-t9 ater. What is the buoyant force of thh-v/t2vp 9f6i *pfyu te water?

  An object has a volume yl cb8q3;yrgy2tba);n3;hn v 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 while submerged in wat4(pvzb/7 n adwe ysv8 skj-e8)er. What is the tension in the string? (The specific gravity of iron /kwpjn)8dea8 ys- v 7e(4zsbvis 7.86.)

  If the density of gold 8d9gj-a:rzn0w;l;g us42m;ttjqx ro 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 (denfghn8otaq fx l8 4n886sity = $7.8 \times 10^3 \; kg/m^{3}$) 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.y -bp.l,sdy5r86 N when it is immersed in water. What is the specific gravity of the objectd-ry.b 5pyl s,?

  A container of water is placed on a scal/7bp 9g/cnabt* fcl0k +cp im1e, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended frobt/*+ kc0f7i9pbclpa m n/g1cm 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 mtftl/ o2)c-la 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:pz h, hv8us:s htde35v2sxmk5u*k x9 +zawg 4 cm and diameter 2.0 cm will just barely float in water. Whadx,v xtu5s*u k2:eh:spswk85z+z 39 4 gv mhaht is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, azw 1v6/ wf. ljy5ujff4nd 0.50 m high. How many kilogramwfvj l4/5f1fz. uj6wys 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 ;fmbv 3c2gn q:xvyt*)yslr)4 half its volume beneath the surface of the water. The weight 4)c vgmbl; 3v :ytr x*)f2qnysof the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fo:pd*bd an6stjwp; fv8p s2d1. urths of its volume beneath the surface.ddsw1.6ap:tfspnb*v j 28p; d What is the object's density?

  A 200-N object floats with three-fourthizs5 5,z7molb s of its volume beneath the surface of the water. What is the buoyant force oni5z ,7mso l5zb the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cdmv,:1 1.jot nbv ;dwqm thick. What is the minimum area of the floe that will just support the bear in saltwater of specif;1,dvnjt1 q b.d:omv wic gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3okm+ mvx*f +l;.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm dix7r*xm*j2s g8g9cjkm ameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this *r2s* 7kjg j9mcmgx8xrestriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure of kuh h*o))7 nka$3.0 \times 10^4 \; N/m^2$. 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 with 300g-ai3u2draef:ok*a : kPa, if the fountain is 30.0 m above the pue*i:dar3:go k fua a-2mp?

  A hole of radius 1.0 mm occurs in t2 -,suv0dafv the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow0tvuvfad 2-s , out of the hole?

  Water flows through a horizontal pipt joro;c/v0zrtee 4: 8e 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 rq0eu4 cwwf562t: p5a dki al1would 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 k p 0ta551wk:f 4i2wlu6erqdcaept 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 artery decreased0 ot t*x2-rp vl9-hu( q-oslfo the radius by 10%. By how much would the pressure provided by the heart have to be inc20(9 polfu-otv t o-* lshx-rqreased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the diameterzbqi5 rk 8znjg0j19/0iom w4 n of tube B. If iz8o g1 4jrwk bmnn/q90j0z5 iwater rises 24 cm 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 rg;g+;u46gv1 mqv7 mk wq9obtaise in a capillary tube of dia t;b9qm1gq;7wv ga4 ov6k umg+meter 1.2 mm?

  232

  To what height would water at 0 degree C arn uc.s*bn4+ 0aht 8pj5v+wo i;kem:elsius rise in a glass capillary tube with a diameterpu4ntnema+j ;.vwo 8kc ra hs+0 5i:*b of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises i c: btxep6j3kxc7.e- vn 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. Wjcxtcbee6 :3vx7pk-. hat happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and widtmfjac6 ls8sriyt.9u zfx( q .ts;:w66h 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much forcl9(sj ;s6i q 6tt8ymfc .:z xu.fas6rwe does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cmi2yeev.: v)9ag rq*c z 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 watyeia*9) cz v r2qgv.e:er 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?