The three common phases of mata+r,j m9 op*l91ixd ztter are

  Density is

  Substance A has a density of9 p53zwysn+frc n6 q is-f(y,z $3.0 \; g/cm^{3}$ 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?q(x w:qo- 0/wwh, 6nemvb6g,l x lxcp4

  Consider three drinking glasses. All three have the same area base, and zzq3sbzzrc*n-+;m -3+imvj u i k4ff .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. Which glass has the greatest liquid pres;jkmzzfcmbvu rzfi3 z*i3q-.- s+n 4+sure at the bottom?

  What is the difference between the pressures inside and ou22*h/famcq qcy*pfu wl*z 4o*-t3ai6 iud o4g tside a tire called?

  When atmospheric pressure changes, wha0ef zq(h7) vqgt happens to the absolute pressure at the bottom of a pool? qf)gqz ve(7h0

  You are originally 1.0 m beneath the surface of a pool. If y35i +aozmb1 znou dive to 2.0 m beneath the surface, what happens to the absolute pressur53znim z o+b1ae on you?

State Pascal's principlew cfjz08c(hny9 0nz7 vhn.;u.tifj1q .

State Archimedes' prw6n-a9kvn +l iinciple.

  $50 \; cm^{3}$ 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 inkgpo(gs -mt: 1to water of constant density, what happens to the buoyant force om -s p(1tg:kogn it?

  Salt water has greater density than fresh water. A boat floats in both fres 7k*ey xk0dt. g)6aefnh water and in salt water. Wkx0tee* .yf)gdk7a 6n here is the buoyant force greater on the boat?

  Salt water is more dense than fresh wateu+uq+jj7c )pi r. A ship floats in both fresh water and salt water. Compared to the fresh wa+)qpj7u ju i+cter, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercu lyfuv gxs6p+c2) 7n*pry. Where is the buoyantp6xcnpgls ufy+27v*) force on the ball greater?

  A 10-kg piece of aluminum sitsqjv xz fnr2747 at the bottom of a lake, right next to a 10-kg piece of lead. Which has the qvjz4 2r77xnfgreater buoyant force on it?

  A piece of iron rests on top of a piece of wood flo/, x:a l./qhpjzu /m d:adev 5jx2yw*jating in a bathtub. If the iron is removed from the wood, what happens to the water level in the tub.j/jzwx5:ul * da2 v,mh/p/x ye :ajqd?

  A piece of wood is floating in a bathtub. A second piece of wood sits on top of-:k2pg/ v,yyku 2jdi v the first piece, and does vu i v2j/:p-2yydkkg, not touch the water. If the top piece is taken off and placed in the water, what happens to the water level in the tub?

  Water flows through a pipehni/-/f ctk9 +,ozkdj b2j:kr. The diameter of the pipe at point B is larger than at point A. Where is the speed of the water gc +h/:tr9zoj j bkk ifk,-nd/2reater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twi1.l19ruw jj vuce its original radius, what 1.wv91uurj jlis the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizonbm s2hua6y;bi9+f oe) 2nw6fdtal pipe. If the pipe narrows to half its original radius, what is ty9;m2f6 )6ai2s ben ow hfdbu+he flow speed in the narrower section?

State Bernoulli's prinb9y-5d* kmh*7e2(,hb f;hxe qe5mgf/v dw ugdciple.

  Which one of the following is associated witx gt0idj6lbvt+dqe/twlssj4 99; 6 9yh the law of conservation of energy in ;ijsex4ydv/dl96stwq jbt t l 096+9gfluids?

  As the speed of a moving fluigwg.wl8o+gu0b )xlvgf ,,.q 8bkjkd+d increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger than b;go5 mni2 2fdylrv bi 0,owp +iq9l6;at point A. Where is the water pressure gr9w,ov5 obi gipl2y;q lm r;6+ b0dnif2eatest?

  When you blow some air above ay 7ghxc: *gywf6;7 x *wj2wodf paper strip, the paper rises. This is because

  A sky diver falls through the+yjp hld8 2wr, air at terminal velocity. The force of air resistance on hwd2j y,p8rhl+im is

  Two Styrofoam balls, of radii R and 2R, are released simultaneous/mmw1cc 1e w(dly from a tall tower. Which will reach the ground f1mwc w1dm/( ceirst?

  When a small spherical rock of radius r falls through 1d.qwhj6/m80ooli cb water, it experiences a dr.8w6 qdc lm/oo0 bjh1iag 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 fluid through a narrow pipe? Thawacvt 4g e-a5q z yls2kg)9vp8d4+m;lt is, if you made a 10% change in each of the mg4vlc2 v ya-8dq)4 z9l+g5;tpekwas 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 diameterc55ly bx/hqfj, jf )8u of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the fl55ybhj u lc)8xf,/jqfow 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 ag57myk av5eih 4 p8cr,s 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 fl mhry4gkv8a5i ep5, c7ow rate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes greasyfga:zxy3eb0s85,9/o: 6 cjshlbf jpu . This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little glo8uyja /0pb l :ze ,3xc9sj:sbfgf6o 5hbules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, tuq -frlzn 0- 7d;mh:yahe water rises to a height h. If the dyzlfhura; q-mn d-:70iameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficienzy+lj *kc 06qctly lightweight 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 all dimensions. That is, bug B is twice as long, twice as wide, etc. What is the weig*k0 ycj+ lzc6qht of bug B?

  Certain insects, such as the water bug, areol)s*:vr.83ogd f uft sufficiently 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. of8fs)r:olug. t*dv 3 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 ofqlouayz 6) ;*b 30.0 g. Whl)zab* y6oq; uat is its density?

  A liquid has a specific gravity of 0.357. q f/52ez (vhozine 0kezq,9d*What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is thedfq+p)/joluq ql3i g/.ufkjm21* 3bk maximum pressure it can exert on a horizontal surfac 2*/quikl1p3d lfo3j)q bq/j.u+gm kfe?

  A person weighing 900 N is standins-.sw xqg6uv9 f0fi1dg on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolutsq(012c aw tpte) must a submarine withstand at a depth of 120.0 m in tq ptsa12t0w(che ocean?

  A circular window of 30 cm diameter in a submarine can withstanduwg9 ui-x:yvg .8ljj 9-;hbsv a maximum force of v w9-uj; slgjy u8x.ih9bg-: v$5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pres;wwao e7:xkn ww :tl(6sure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (Tpdd-gxm 0 afcy83p25j he density 50jp8ycfpxd3dgm2- a of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressuu+ls7xyc36v bx hpc2 -re at a location 15.0 m below the surface of sea? (The dcpc 2x+ 37vxsbu-yhl6ensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machinykpd7k t+unn 84uf*- je. The small piston has areayu*f upnkj t-7 k8d+4n $2.0 \; cm^{2}$. 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 i)fir21 au *6vy6edn bfsyt*6of 5.0 cm and the large piston has a radius of ai 2fsdv6f*r)*b1yi 6 n6 ueyt15 cm. What force must be applied on the small piston in order to lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by -yjdsz c/(w qc, d;,dua 25 cm diameter hydraulic piston. What force neewcu,dy -czq/( djd;s ,ds to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift lu4(4f4n3a voskj 1hkhas a diameter of 8.0 cm, and its large piston has sjf41vla 44o uk kn3h(a diameter 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 30l bm-q.y pl2a. N in water. What is the buoyant force of the watayq .ml .-2pbler?

  An object has a volumeb)bdhfb1p2l0f7ip4 p 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 suppor3,85erwo 7tgzym ,ra hted by a string while submerged in water. t 5o wze78, mgha,ry3rWhat is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of golda3lgy5h hfzslh75a)1 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 submarint.) xuglaghv6av +:o:e (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 w4-tg* urn 6xhehen it is in air and 6.86 N when it is immersed in water. What is the specific gravity of tnh *4rg 6xe-uthe object?

  A container of water is placed on a scale, and the scale reads 120 g. Now ln g rmqi/ ne*b98*+zaa 20-g piece of copper (specificb *i *gnz+r8mqea9 n/l 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 and densib)r 1;w wgpu8nty 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 yg/n,g vfjmqjr,3w3ls/rtkb 31+0ficm and diameter 2.0 cm will just barely float in water. Whn3sjj3,frkiy lw ,1fg//tvb3qrg+ m0 at is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m1nq9 ohpmkt) , yg-t9h high. How manykytpnt) hh99 o,mqg1- 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 beneath5b,- goz(u )zyfx1n mo the surface of the water. The weight of the displaced water is 2000 N. What is the weight ofb y,-xomznzu5o1g f)( the object?

  A solid object floats in water with three-fourths of its volume benea)zr0n g+mi0 ueth the surface. eu+r0 gn)miz0 What is the object's density?

  A 200-N object floats with three-fourths 9(0/kfw: bkk nrz7xuoof its volume beneath the surface of the water. What is the buoyan :kk( 0rb/kuon fz9w7xt force on the object?

  A polar bear of mass 200 kg stanpmla9 v ,fxu67ds on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific graviu,v69ma pfxl7 ty of ice is 0.98.

  Liquid flows through a pipe of diameterdyv1:zd, jjullvll6 )/usf/3p16j kp 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diametej 0r gugmx3 -:wvi4jv((ev8 (3 okvpfpr pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this restrv(pp:(4g(rx8fjkjmvv- 3 wiug v e03oiction?

  Water flows at 12 m/s in a horizontal pipe wuv c.- 8u;1qjx9ztbcp ith 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 supf ouy(+n y9-tsply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the pum 9yt(+noyf-usp?

  A hole of radius 1.0 mm occurs in the bottom of a wat5()os ykebc c3er storage tank that holds water at a depth of 15 m. At what rate will watykc(5s3ec ) ober flow out of the hole?

  Water flows through a hesw :p lsq:ch j0/(t53mw j-hiorizontal 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 orgb0 irrdzq61-( ;1jwhgrr7 viscosity of 0.20 Pa-s. How long would it take to pour 4.0 L of oil7 rrgbjoiq10w-;rh z1d grr6( 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 neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up o h (tld wd7i/;8+ugcaok 2xm.zf fatty tissue on the wall of an artery decreased the radius by 10%. By how much would tz t2cx8l/a (; khwdd.7 +omiughe 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 the diameteqj,q ) oxs9neg .7;jeor of tube B. If water rises 24 cm in tube A, how high will it rise in tube Bg ex9, )q e;o.sjq7jno?

  The surface tension of water is 0.073 N/m. How hi9n f-9 p:lj.j1pg 0mddy:emtugh will water rise in a capillary tube of diameter 1.2 mm?g0 1 :pdlj ft:dump9-m 9jney.

  232

  To what height would water ago2fanbt8o*j.h 0c(c(y ub e3t 0 degree Celsius rise in a glass capillary tube with (ejf *(ao bu 0n2tc3c.hobg8y a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in thq,+5.d. jty zcvwj8gjo2b+vd e tube to 4.0 cm above the level of the pan. The surface tension in the liquid is 5 . tdjcv,y q +jvjo.8wgdb+z2lowered 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 +avfk5 u/fs.q9n7oqmh2 gn6jwidth 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 force dohv2jnn+kg u7 so9 q.5/mffq6a es the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and is buiohp t*:c4- .whctweq; lt in such a way that one of the longer sides can be mo-pw t4.c*tchqehw: ; oved 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?