The three common phases of matte+pfdm,8n:u/ x,o fcr ar are

  Density is

  Substance A has a deni+h b9*b5v dpwsity 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 pre1, yt(ql xqa.rne1tp1 ssure?

  Consider three drinking glasses. All j0 k6po.d yws2three 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 A. Glass C is narrower at the top than at the bottom, and so holds less water than A. Whic62 kw jpd.so0yh glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and 8lgfn m1 b)bn-wn*am+/ulz l x1(ywb(outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure wt(e6g(k81/,fe i krc*c uwvg at the bottom oic16k*ft(ew( 8gc,veg urkw/f a pool?

  You are originally 1.0 m beneath the surface of a poolm1b6: nvyj4 swd0 .cqm. If you dive to 2.0 m beneath the surface, what happens to the amj1q:sc 6.dm bv0 4nywbsolute pressure on you?

State Pascal's principle. h2nmp :w:u1gjz b90zy

State Archimedes' principzq0 s2m3ny0 xjle.

  $50 \; cm^{3}$ 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, qez jmt08:-qxl1 wu+db,+ kr/ev0ufq what happens to the burlebqm:qk0j+t8d,+- 1qf z /0evuwxuoyant force on it?

  Salt water has greater density than fresh water. A boat floa7sd fbvet-hyov xi9x1/ y6e2(ts in both fresh water and in salt water. Whet6 hyfx1d/e2ov-ysev9i x(7 bre is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship f e-iv6d *hli*mloats in both fresh water and salt water. Compared to the fresh water, the volume of wa6-lei*v *hd miter displaced in the salt water is

  A steel ball sinks in water but:o)biw 6q)gqk floats in a pool of mercury. Where is the buoyant force on the ball gr oqkb):w)g6q ieater?

  A 10-kg piece of aluminum sits at qgyv0 )a)3i+,ygty/jh t lvm5the bottom of a lake, right next to a 10-kg piece of lead. Which hyt+v ,jgy 0/lay) hq3ti5vgm)as the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floata)gd)28+b7n k r lhkciing in a bathtub. If the iron i rkh a2dgbn i)+7k8l)cs removed from the wood, what happens to the water level in the tub?

  A piece of wood is flhls:3xqn/ ,. u pljo0loating 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 tak x3,n:p0/uhq .lljos len off and placed in the water, what happens to the water level in the tub?

  Water flows through a pi i axg,yn4xh5,pe. The diameter of the pipe at point B is larger than at point A. Where is the speed of the waten yaxx,5gh,4i r greater?

  An ideal fluid flows at 12 m/s in a horizontal pithwk42uv) : hnpe. If the pipe widens to twice its original radius, whatuh2w)k:v nh t4 is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pi g-9i t7d83pv;bnjqnnb5 )u.6a vgpkr0 lhzu)pe narrows to half its original radius, what is the flow r kd)unb6 3ab0thp.uz57gi nq-)vnv pj 8g9l; speed in the narrower section?

State Bernoulli's princkdim c c+wt+(isx9r/qj7f)yt2w5 rfqz2w4 5z iple.

  Which one of the following is associatp(j5xb p13-dlc70ya-kw ut tv ed with the law of conservation of energy in fluids?l- pj5-7t pvdaw0kb(xu13 cyt

  As the speed of a moving fluid increases, the pressure in the g.x4)dets,u 7pd) ka ofluid

  Water flows through a pipe. The dv npx r-)g)-st4pyokfs,sw*8iameter of the pipe at point B is larger than at point A. Where is the water pressure ggr4sp,on) k)f ys8w -*v-xt psreatest?

  When you blow some air above a paper strip, the paper rises. This is be t4o+ z-cg +3vdj;zxk l.d-rmocause

  A sky diver falls through the air at terminal velocity. The forc ;*ku q;zutxa, 7 6)zqnd(lopck(*1 kx :yfgbce of air resistance oaty* pdk61 q zk bl)k*(qg, x7uc;xcuo; (nf:zn him is

  Two Styrofoam balls, of rap1f0n z*k otw9dii R and 2R, are released simultaneously from a tall tower. Which will reach t po1kft zn*0w9he ground first?

  When a small spherical rock of radius r falls through water, igyl)evqz 6;d4t experiences a dra4leqy);z 6gvdg 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 fl+vz: 0,jusnkn ow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities zjnn0vu k,s+ :below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B hxl t6)vp5i1e3bm au,gas twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the le, 5mluabe6vp gx) it13ngths 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 samef9fyc ruz *+7a diameter, but pipe B is twice 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 rate in pipe B is Q, what is the fl9ar+u*cf7 fzyow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "greasy" taste seeig04(p-56a)awq p h1t2puxz l um kn2vms to be associated with oil spreading out all over the s2t p vg zkh(0mu4l w2iuqa1pp nx6a-)5urface of the soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diametpuxwz(jtjde;0i *- 4ner d is placed in water, the water rises to a height h. If the diameter were half as great, how high would the water xzjp4 ud- e;twj( i*0nrise?

  Certain insects, such as the water bug, are sj znqi6z o l94cf1xvm(g9vs/,kh. vf;ufficiently lightweight that they can run on top of water without breaking the surface tension. Water bug A has weiglm zn/ ;sjc1i.h ,xq69vvo9( fkzfg4vht 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 sufficienb ru7l)30f pfx6j 3yrda2 lv-ftly 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 t rfd6 3bjyrufax0p)-7 v32 fllhe maximum upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm xl bqf,b6m+v e.(gn z9y 3.00 cm x 4.00 cm has a mass of 30.0 g. What isb+ mvye.f, lz gq(69bn its density?

  A liquid has a specib-e7o;fdz;6ad gu t4efic gravity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0qu3 4* :(qo.fjnov yze cm x 10.0 cm x 4.00 cm. What is the maximum *n(qfvq4:3 ozoju.ye pressure it can exert on a horizontal surface?

  A person weighing 900s26 ag0 aif1 hss+sw-g N is standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withn)o -;( d.68cjbb3 wlc l hng+iwtdg7ustand at a depth of 120.0 m in the ocean?8l7 c)uh 3t-iw( n cwdol+.6dn;bbg jg

  A circular window of 30 cm diameter in ayv -wye*d*8 hl y2gz/j submarine can withstand a maximum force oz*wy/ygvljye 28-*h df $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressrnvp 5lof;;kdv r:gb9kmw;1 4ure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m belode6 ) yh8)tu5v ms/+rbt8ikm uw the surface of sea? (The /)vtu5+ys)r6imdtbhe m8k8 udensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a loc*h7prwyr wa(zu-7f trh9s/if5- j6a h ation 15.0 m below the surface of sea? (The density oh5pa fwh(79f/-r s-a* jrtuzi6hr7 yw f seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on td07 an,l,ep34ruc/ d xffe p3bhe small piston of a hydraulic machine. The small piston has0ubxcefrl /fn,4p 3da pd3e, 7 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 radius of bh(*zsuf-: ib 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 w:fz-* hsb uib(eighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter h(ozz , w tn7nz/ayy)c-ydraulic piston. What force needs to be applied to a 5.0 cm 7 zc/(noy tn ,a)wz-yzdiameter piston to accomplish this?

  The small piston of a hydraulic liftg4wlj90ah.- f jic 3qi has a diameter of 8.0 cm, and its large piston has a d if-.g q9 043cjahljiwiameter 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 inegggy16p. /*kqddx vc 03 7yws5m+a c4pa:usz water. What is the buoyant force of the water gkg6ws:s7+5 q03cd pxycme.*a adpu/v4yzg1?

  An object has a volum x* w) vhymma.,vg.6m)ym+mft e 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 stridk1 8xn mlwr9+20 10kx,dabfxx ks9udng while submerged in water. What is tr09a0wlbkn211d skxxx+mx d kfdu 98,he tension in the string? (The specific gravity of iron is 7.86.)

  If the density of golfwqfwvl yy77*.+( h lw6oz;bwd 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 (densf6u8jh)4 evd (arx* vesy5q 8tity = $7.8 \times 10^3 \; kg/m^{3}$) 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 airo5n6 jw 73*74k zbewwky dpt:a and 6.86 N when it is immersed in water. What is the specific gravity o6 bwpw3jwt7*nk ykd54za oe:7f the object?

  A container of water is placedcfn s 2:z);duc on a scale, and the scale reads 120 g. Now a 20-g piece o;cnd2) zsuf:cf copper (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 k ng:sm/2bbm ygge8g) :g 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 2.0 cpryk( z.y r1+mm will just barely float in water. Whatpkzr1 yy mr.(+ is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m we)9sz;h;c w0iexfn y)ide, and 0.50 m high. How many kilograms of mass can be loadec 0e9))fneyi; ;shzw xd 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 volumftm2p md nre2/j fd.6x,1zi)oe beneath the surface of the water. The weight of the displaced water is 2000 N. What is the wr o 6) 1med.j, xffz2tn/d2impeight of the object?

  A solid object floats in water with three-fourths of icb8 lflcx 6evkw4* 5c 4-rlqr8ts volume beneath the surface. What is the objectwrlrevcc6-8 xllq fc4*58kb 4's density?

  A 200-N object floats with three-fourths of its volum)www im2z zz,6 c0(j1/jeo dql4q .zjye beneath the surface of the water.ow4ziw .lz(e0q jwyz)m dc612q ,zjj/ What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is th i5 tdo2d c+):g1ogdafz5qkh7/rnwf )e minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific grav qt:dfzgod)k+ 2fr a cnw7i1dh )5g5o/ity of ice is 0.98.

  Liquid flows through a pipe of fxbbe/x9 x /n.m ak75adiameter 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.c7 ctxl;3p3jp0 cm diameter restriction in the line. What is the velo; ltxcj337p cpcity in this restriction?

  Water flows at 12 m/s in a horizo j..lbyv89d 1 . u vinr8n:g-p-yyispvntal 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 su0r 6o:bodx0c(m*wc lcpply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the pump?o6 x cbc 0:l0romd*c(w

  A hole of radius 1.0 mm occurs in the bottom of a water storageo*tlo u(sp88 da-hzb eoso 730 tank that holds water at3z- 8tpeuloo*ao bodh7(0s s8 a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal )y i 7e4n )ls1 ialxa-ahr/zg8pipe 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 v yy2 (x1y(xoqtr/w6v5xo 9 tk+kn5rufiscosity of 0.20 Pa-s. How long would 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 kept 6 cm above the top of the neck, and neglv2 xo9+t/r5 yxfq6kr (xonkwuyt5(1yect 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 decvgf f;3k3oua sm0y*30v x*ls/rswl9 r reased the radius by 10%. By how much would the pressure provided by the heart have to be increased to m/; guok3 val*rfsys0v * l3rs9 w3fx0maintain a constant blood flow?

  Two narrow tubes are placed in a pan of imc:i*p )c9ey g,xu,w water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, h i :,xy*cwp,9geu mi)cow high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will (p uj5 mr;mrm;water rise in a capillary tube of diame;p rjumr5(; mmter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capilla7kdy x,bau,;e71xod x ry tube with a diameter 1xub 7ex d7,;y,daxok of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in the9*myis9lr4d wzzc;b- p-j:gs 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 zmlbys 9*j p:9gr-c -di;sz4w height of the liquid column in the tube?

  Consider a rectangular frame of length 0a.8 m r b kmvnd6+fjl4usa,km/ d4k43l.120 m and width 0.600 m with a soap film formevksnj 4 mkb6/,ud83ml raml4.+afkd4d 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 cm and width 5 +(fm-uup.kda 2wmzd(c vvk:lzym pi(p 2;j+2cm, and is built in such + -dakpk+c. (vym:mv(z( i lm;p2dfwp2jzu2u 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 the adjustable long side so that the frame is 12 cm square?