The three common phases of matter arbodh2bkx4q ik a3*-- we

  Density is

  Substance A has a density ov hil m-*:,mkqf $3.0 \; g/cm^{3}$ 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 uni)h;cyf+ut jf *p fw).jt of pressure?

  Consider three drinking glasses. All three have the same area base, ak)pl c,d2 .kwend all three are filled2ed.kpwk c) l, 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 pressure at the bottom?

  What is the differenpt(msi) cty5xcu k0/ 0ce between the pressures inside and outside a tire called?

  When atmospheric pressure changes, whaypn0zgi3clal,f f ;8j:,pz )k t happens to the absolute pressure at the botk,f:i g,cj nzp3p0)y;ll faz 8tom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.bjuqf ml2ac11:fg 4 *q0 m beneath the surface*j4mc q1ulq:bf1g f2 a, what happens to the absolute pressure on you?

State Pascal's princik vt9 rq,yr i;vn2c)/,w3wxn9yhw ;mbple.

State Archimedes' principle.k-:upk t7f8c( yxln9i

  $50 \; cm^{3}$ 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 happens tjd+s( -;5us l kw98wsnjy8 h) axn4wzfo the nknsjh59dw(s)ua4f;s- wy w x+jz88lbuoyant force on it?

  Salt water has greatdm-gdm :v ws88er density than fresh water. A boat floats in both fresh water and in salt water. Where is the buoy- v8m:md dg8swant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats iq uta1x slid2to byz:vupan. m 8,-864n both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the axs pubiv ua4: nzlmy1t q88d.,-6 ot2salt water is

  A steel ball sinks in water but floats in a pool of mercwar -8 ergz406 i dlpwf54u e70yirhm)ury. Where is the buoyant force on the ball greae06-h dr0wm8f7gpzi)44aewirl 5ur yter?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg pi8 mx)jdub,cy 7kv7,u hece of lead. Which ha8, j),kx vmbdycuh77u s the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating inl r l8bwoiv)79 a bathtub. If the iron is removed from the wood, what happens to the water level in the tub?wv)i7 bll9r8o

  A piece of wood is floating in a bathtub. A second piece of lroot**9fih(g wau 4q:di 2k7 wood sits on top of the first piece, and does not touch the water. If the i r729uqdg4t:l iw(f*ok a* hotop piece is taken off and placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the o07z g*lcb n( 2k4mvalpipe at point B is larger than at point A. Whao7zl vgl*nm(k 2 4cb0ere is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a h51mu2-)ze xu j+vcft torizontal pipe. If the pipe widens to twice its original radius, what is the flow speed ixej-t vm)1+5f cuutz 2n the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pifiu w,:*:o zdi dd9d5zpe. If the pipe narrows to half its original:dzi ,d:f*diuo z w95d radius, what is the flow speed in the narrower section?

State Bernoulli's principle5*4 fg y1nycyug-av p8.

  Which one of the following is associated with the law of conservation of. rf ow.5:bit+b xqrg1 energy in fluii 5q+o:tbg. bwx1r.frds?

  As the speed of a moving fluid incr2 jiegd(,pbd6l 2w. xieases, the pressure in the fluid

  Water flows through a pipe. The diameter of tp4v 52) zvvixq4 nt*scjn .3uw;t 4xsphe pipe at point B is larger than at point A. Where is the w)vsp 3; .up2vnjcv*ni4ztxstx w5q4 4ater pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is becauu:tj+8*n-tv8xum,ru 91 urtelikn * kse

  A sky diver falls through the air at termina0qhh,w/6d4oiep0 yp 7wm xt1 el velocity. The force of air resistance on him w/,4t6d70iepmw1x opqeh 0hy is

  Two Styrofoam balls, tu 6t*kf+jq 0m;qq0 )uez0qtcof radii R and 2R, are released simultaneously from a tall tower. Which;c6t jt00) te+ *f q0quzqkqum will reach the ground first?

  When a small spherical rock of radius r falls through water, it experiencesd,:/ mkwvnav 1 a drag force :,w kd/ v1nmav$F=arv$, 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 pipeh k+u2axetckhs7k 3hb )+v23axgb y *mn5) 2yr? That is, if you made a 10% change in each of gx na2auk75st )ymh+kbh+r2 3 x k2v3be)chy* 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 diameter of u l5 z*d-jxvb5pipe A. Water undergoes viscous flow in both pv-bxjzl *55duipes, 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 pip7om9 opu(t (y fkot5i6e A. Water undergoes viscous flow in both pipes, subject too67((utim5o 9y kopft 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, e0 sp mnn8c-9r, n,dxp,5 opxlit often tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. 8 l5c pnpdr-nm9x0 ,,pneo,xs To us "physikers", this is readily explained in terms of

  When a tube of diameter d is plac kb5f *3px g5u+htsr.hed in water, the water rises to a height h. If the diam5+ 5fp*tsrukhg. 3 hbxeter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight thct--anx ;;bkl(si7u sat 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 dimensions. That is, bug B is twice as long, twice as wide, etc. What is the weight of bug B? tialsc(;u 7s ;bxkn--

  Certain insects, such as the water bug, are sufficiently lightweight that thvr(+ m gwb:- 8okxoh9jmpo8+sey 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.m omjx8 s(rh 9+-k+po :wvb8og 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 cmpd (/( uczz+mi has a mass of 30.0 g. What is its +(/ cz ip(duzmdensity?

  A liquid has a specific gravity of 0.357. What i73fta lm-f- 8p .qfvhds its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is the;o ftmscdqk3cg *p:/ 7fua ((i maximum pressure it can exert on a horizontal surfait*cc(;fa:pug(f ko3/ dq 7ms ce?

  A person weighing 900 N is standing on snowshoes. Each snool60 fhmd9z-zwshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 120.0 m ,js2i-*jxiwsl*yjd : in the*2:j,lj -*y wji dxiss ocean?

  A circular window of 30 cm diameter in a subfeesm uf,1olf8fz0w iyi/7 c+2bl y0;marine can withstand a maximum force oef+ c02 /wf7ulbi z sfyimy;e0,8ol1ff $5.20 \times 10^{5} \; N$. 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 pressurem jqm6pio: omy5.8rlm fz k997agz1* dp+q4ej is 300 kPa?

  What is the gauge pressure atv;n ht;.lloi9 a location 15.0 m below the surface of sea? (The density of seawate;vti hlo;9n .lr is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 11 3c zwkj1dhaau ; 56bxy)toc/5.0 m below the surface of sea? (The density of seawater id1 5 w ucajo)/a;6byxzk hc13ts $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of ar xd *.nk;+wjm 7(otkf hydraulic machine. The small piston has a* + km xw.knot;rj(d7frea $2.0 \; cm^{2}$. 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 radius of 5.0 cm and the3 svs jbc;p8ibt0h3k4 large piston has a radius of 15 cm. What force must be applied on the small piston in order to lift a car weigb4 jvt;803isbp khs3ching 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cg3 aoir *0vd9wm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomp*39v diowg a0rlish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its laiy;chq(f(r aq* pb34h2 g3 kzorge piston has a diameter of 40 cm. The lift raarc;( py* 2g(hokfqh33z q ib4ises 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 water. What is the bbyx5 ;wu4-28gz ih 3ig3v hnneuoyant force of thnbg gw;3e x28nzi3-5ivh u4yhe water?

  An object has a volume0p x(p51 xrpgw 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 suppor 2eay 4l(rnx fbe*mj,k 2+m,lrted by a string while submerged in water. What is the tension in the string? (The specific gravity of iron is 7e4xn m 2rf ley+b2l*jkr,(am ,.86.)

  If the density of goldxhvfxq4p y o-q/ d t0a xxt*40b,5g;q. yef8dm 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 (dens* .hiu; hedi:d-z j96c:hwdtbity = $7.8 \times 10^3 \; kg/m^{3}$) 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 52lqvi,sz ,3nqaul(e l /8yxtit is in air and 6.86 N when it is immersed in water. What is the specificqyxqlvlzn , /u5la ,e i3t(s82 gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Nokr dq b28pri cec+,,x3w a 20-g piece of cocbpi,rxe8 k+dc 2qr3, pper (specific 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 kg ,hj/htzx 5b 0kand 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 ands2hkve lhm,h5pl uiy a/33wk4g00 4qa diameter 2.0 cm will just barely float in water. lqp,l hi /amw0hvas4g 0e5ky43huk23 What is its mass?

  A rectangular box of negli 44zh)0ftxvtdgible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can th0xf 4zv)td4be 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 wf*xpx;p+kh9y w .;vqxater. The weight of the dis*+pvwx.h kp9 ;xxf; yqplaced water is 2000 N. What is the weight of the object?

  A solid object floats in wagtpc7t*6i fh :/p.jzm ter with three-fourths of its volume beneath the surface. What is the object' cfh6ti.pmg*pt/: 7zjs density?

  A 200-N object floats with t7;qv.d5uvum; myua(h z0bic 3 hree-fourths of its volume beneath the surface of the water. What is the buoyant force on the obh5y;vv3cqumu m; ab( .d0uz7i ject?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is the min 1nf:r, hpn507dkqezximum area of the floe that wil, r71x:z0pkh e5nnq fdl just support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. kxl( vrqy3)44b m)lgi Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 f2wx.+s4zq rwcm diameter restriction in the line. What is the velocity in this restrictq+4w 2.rx wzfsion?

  Water flows at 12 m/s in a horizontal pipe with a pr5y5qvb;vj1g k essure 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/yyh cj c(02.v.gsghp12s deq- r9eog take for a pump to supply a drinking fountain with 300 kPa, if the fountaeq ypgj0e92rsgco.g v-(hd/ 1y.cs h2in is 30.0 m above the pump?

  A hole of radius 1.0 mm o k+68corsp,avf. v 7mgccurs in the bottom of a water storage tank that holds wa 8,afo r pskcv6gv+m7.ter at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipebp lnkms-h2, 0(vlv4x 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 it 5q08.5rx6e8ggxtgyas, mrvse:g d u+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 thaq ,rvx+dxes5.:m05 guy8 86getrggs e top of the neck, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up of fatty tiss7z c is2 +p-km3pv8l0qqxp kk9fx y7,a0ws0 tdue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided bys0v8c st - 3diw+9,qpkk7z0pf2ma qxk07 plxy the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. 29xrtv8mg/ca,fo fh)Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in tube ah)rm9c2v/gt ff,ox 8B?

  The surface tension of water is 0xi7 ,(5 uskky 1wfpk;u.073 N/m. How high will water rise in a capillary tube of diamyf;k (x7sku upw,5k i1eter 1.2 mm?

  232

  To what height would water at 0 dv*e2ni8ahs jb 0tt4 f: m(ipp3egree Celsius rise in a glass capillary tube with a diametep : n h3t0vj(4i2ps*eiaftbm8 r of
0.50 mm?

  A narrow tube is placed vertically in a pan o b( 1ai0w8g2y/fl tfkqf 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 ka ygbl0q 1/2tw8fif (value by the addition of some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular fran 3oxr8od g0w0me of length 0.120 m and width 0.600 m with a soap film formed within its confined area. If the 0oo03g 8dnrx wsurface 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 le ki pcs (d -ix8l3tmewb,eq0b-8sn37 yngth 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 suim8-ee d s0,b7w x lyb8k(ct ni3qsp3-rface tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?