The three common phases of+,y 9 :etkxjtx matter are

  Density is

  Substance A has a densg)bu lhc48t)e 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 is not a unit onq bd k+*jaia41if+,e f pressure?

  Consider three drinking glasses. All three have the75ndj154ga,tnr/r bgx w5 zeu 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. Which glass has the greatest liquid pressure a 1,ndgxer5nzjtbw/arg75 5u 4 t the bottom?

  What is the difference between the pre -lrzp6tn* 2qjssures inside and outside a tire called?

  When atmospheric pressure changes, what happens to * )be g*caka)kthe absolute pressure at the ))kcg*ba k*eabottom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you diver 87qtm g5xpe7n(hy,q to 2.0 m beneath the surface, what happens to the absolute pressure on yom7y,r n8e xh5(pgt7qq u?

State Pascal's princqhe5x 6zd y qr9.z 5t(-b5n2aj5lul lqiple.

State Archimedes' princi p/xjesldd*dlg/v2 n01t 77g hple.

  $50 \; cm^{3}$ 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 watg)- eel:vs+ meer of constant density, what happens to the buoyan se+g)v m:e-elt force on it?

  Salt water has greater density than fresh water. A boat floats in both fresh90qyl +sg vuhzqy)a6 sa350ah water and in salt water. Where is the buoyant force greater on the boat30a9gysszyvh5h+ q l)a u6aq0 ?

  Salt water is more dense than fres+5w: lue*;tx1q tov edh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volumeu xd oev e51l*q;+:twt of water displaced in the salt water is

  A steel ball sinks in water but floc3dq)tqt7*b+ rl fs h/.vd, ulats in a pool of mercury. Where is the buoyarf chtl.qu,* b7 d)t ls+vqd3/nt force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to, 1zz.y gvcq *6rfrw8m a 10-kg piece of lead. Which has the greater buoyant8.vq rwcf* g zm6,z1ry force on it?

  A piece of iron rests on top of a piece of wootcyj,n4lq9q 9g r1xs6d floating in a bathtub. If the iron is removed from the wood, what happens to the water levels16gyrc9lnx tjqq 4 9, in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits on top orurdr5 f658w pf 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 water r wdrr6u8f55 plevel in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is larger th2z nevg.j s9p((4zdefbze:g5 0rrs6 pan at point A. Where is tegdsg0v:z4(frs6 jzp2per .9z 5enb(he speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If thb)2 twt fmf*vo qb76r a,+fhg6e pipe widens to twice f2 6oq6bgrw7f m+thtva* bf),its original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s3+vdeoovtnam:+n/h,ij,* hy 7li ljqhq +;9x in a horizontal pipe. If the pipe narrows to half its original radius, what is the flow speed in the narrow o vl+/,:hq 9h xai l7;qn nhjtm,+yve3*o+dijer section?

State Bernoulli's principle.q0yo.8 z,jd3ur( wjpyg*yev9

  Which one of the following jf-9ws 8w:l)ik.i( 6goomdvn ol 6 gu7is associated with the law of conservation of energy in fluids?6k-s(lod6 fjw7in viw. l9g8 o)o ug:m

  As the speed of a moving fluid increases, the pressure in the.lgtlb dp.2, nm9dqs8 oq0435elolt y fluid

  Water flows through a pit e5,d8 f7 gtq8s6lhxrpe. The diameter of the pipe at point B is larger than at point A. Where is 7r qt5dh lgs8xt f86,ethe water pressure greatest?

  When you blow some air above a paper strip, the pape) ypappfk-,)mx,d c:p2z- m ytr rises. This is because

  A sky diver falls through the air at terminal velocity. The forck 1v2 zzb,)yike of air resist2k1vb,zzy) ki ance on him is

  Two Styrofoam balls, of radii R and 2x2ou.39xogq4b ez xg*R, are released simultaneously from a tall tower. Whi*xe94ugxoxq z 3o.2bg ch will reach the ground first?

  When a small spherical rock of radius r falls through wfj6b 09tgt ewp+0,ph3 qy vnd7k (h-osater, it experiences a draghk v js(7d 0fbt6gp+3-0q9wheytp, on 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 fl5l9z8jjo 7b l yb9+bq,.olcaiuid through a narrow pipe? That is, if you mad oz + bba.lil8jl57y9obcqj9 ,e a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same lm2s2t 3ej+ovaength, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipevt3e22a o+smj s. If the flow rate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have bwwcqb7u.-86bja +m3 59zhvm ij3eh cthe same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to -m3bejhu cw 5i3 h7 +q6abbjvzmcw8.9the 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 tk8w h(lm4u k:ewqybt0 (35u opi)+piiastes greasy. This "greasy" taste seems to be associated with oil spreading k(0yil3pk u p uiwq + )t5:8ieo(4mbwhout all over the surface of the soup, 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 to a heig si94v cg;4uwfht h. If the diameter were half as great, how high would the water 4i;9wscgf vu4 rise?

  Certain insects, such as the watbq7k n 5qw;oo:xua31/dj2-m1k tfataer bug, are sufficiently 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. amd53fq;k7 o kub:/nt1ota -21xqa wj What is the weight of bug B?

  Certain insects, such as the water bug,b+ovze4ogxdvp 9 *--i are 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. 9i* ovdxp+-zv4 e -obgSuppose 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?

  A plastic block of dimensions 2.00 cm x 3.00 cm x x0y(y1 c()0lalywcc 1ke+d hy4.00 cm has a mass of 30.0 g. Wha y0yd)ch1+ k1(e c( lcyylwxa0t is its density?

  A liquid has a specific gravity4c6eh .2ni exu of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 )kq ,eldh8b6 wcm x 4.00 cm. What is the maximum pressure it cek8 ,db6hw) qlan exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each sno.qit 2wukgvy qmyd;y(1j 2.1mpv0rf*wshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (abso+lw gkp0)ltj p;7mq;olute) must a submarine withstand at a depth of 120.0 m in the olto;p; ) qg+j7kwpm0l cean?

  A circular window of 30 cm diameter in a submarine can withstand z+t 9g e1a:k /xqt4aaza maximum force /a :ax9q4zze gt+k1taof $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pr: (5q+9arnkt twd. zr8doo q5lessure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? ( (o0 -e4chxznnuzx52bThe density of seawater i zn24c0ne-hxb zo5xu(s $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the 4zt+suaia( uv(b: s s(surface of sea? (The density of seawate4zav+:s( u sub( ias(tr is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic ma-p-1 rqp )vs vz0z2wey- h3jylchine. The small piston hasryzsjvlyz-2)p0h v-e q -pw13 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 radiujf di -pn4 0f p4-bdhu;vwg35os of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the smal-h-4 i 5jdon;fwg bp u0f4dpv3l 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 a 25 cm diameter hydraulic piston. What j h ;/(ng7hfj39oanajr) tv 3oforce needs to be applied to a(;jrjn3)t9/jah f gv3o a7h on 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic 9(h2 * l8i0p8fbtj nrrq8pmaylift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cpf (qirl a myh tn9*2p8jb880rm. 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 wei;8;n8geu z,l 9j h u;qfpdg,wnghs 40 N in air and 30 N in water. What is the buoyant force of the water; ;u,q nghju8;efd8wpn,lg9z?

  An object has a volume d nt.dsp7;9.x7mrub at7/r4xcg4 s vhof $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of sol+ht3h/7ypynnb/wod 2s ( yw0 tid iron is supported by a string while submerged in water ys/+hn3yb pt n yo0wd/7w(th2. What is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold is h0 n*j-*/g 6mvj7 kph5 azahtd$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel suhkea -a:av 9,obmarine (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 immersed fy0b6.vxh8r3 kl-a hrin water. What0ar. 6klfbhh8xy v3-r is the specific gravity of the object?

  A container of water is placed on a m1ja) hn jgmq v58g*x4 z;pl0zscale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspe z8j ngz0q*) hmpmja54x1l;vgnded 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 andq3ff5 2a mrtyo(r.m7 y 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 l9 x 0gygorh)-qength 12 cm and diameter 2.0 cm will just barely float in water. What is its mass?-gq )09hgxr yo

  A rectangular box of negligible mass measures de,+fv+j- 8p0nh* e0qeb z;e mnhfvb+5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks in a lake-eq,0++h ;vdp+b8 n fefn jz0mhv*e be?

  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 water. The wei4:gj:mnmkcef hb4 t 28ght of the displaced water is 2000 N. What is the wemgt42h :cnfm:ekb4j 8ight of the object?

  A solid object floats in water with three-fourths of it v15) xish/zzgi(*e rms volume beneath the surface. What is the object's densitirs e)iz/x5(h1mg v *zy?

  A 200-N object floats with three-n5q ;h;wt5s/f3dv ot z d)-usrfourths of its volume beneath the surface of the water. What is the buoyant force on the objectr; zsdn o q5tw-ht)d fsv;5/u3?

  A polar bear of mass 200 l8ta7 /tjo0 gg781n um7tala gkg stands on an ice floe 100 cm thick. What is the minimum area of the floel 7attom g07agu1l a8tg 78nj/ that will 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 diametetltxiesf1ly/q /7* 9/hwc pn8 r 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter p 8tb je8i5v qh6+uywu+s 1je qzw160mlipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the 6 8 1vh lwseiu+z5+qw8me1u6 tqb0jjy line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pres7aoj -vn2f( zmsure 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 supp//dlmj* s c 5h 9w0vzdcr:qqj*ly a drinking fountain with 300 kPa, if the fountain is 30.0 m above the pumc/j* cw5/zrq9j ds h:vl* qm0dp?

  A hole of radius 1.0 mm occurs in the bottom of a water stoll,c(n(/ zxwbrage tank that holds water at a depth of 15 m. At what rate (c( z w/xn,bllwill water flow out of the hole?

  Water flows through a horizontal pipe of cro5mqrv.:s.bxr9sn ex .c b+i1kss-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 viscot ukim ivfe c*,;183etsity 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 neglect any drag effects due to the upper part of the funne ,i ce;mk1 tvtei83fu*l.

  Suppose that the build-up of fatty tgn7 :)lyo(m ajissue on the wall of an artery decreased the ra(mog aln7:y j)dius by 10%. By 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 h:-udyrsa)u2 tazr sd( j.rn5 tez4e47as twice the diameter of tube B. If water rises )4e5rj u2 ad.rr:ztt7asz e n(sud-y424 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.07v)pnb ni o6lxa),+n ospgp* *un2-eb2 3 N/m. How high will water rise in a capillary tube of bpvo)u)x p -nns+pnab *o *6gl2i2en,diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a gl g56kt+)zggn mass capillary tube with t ng+5)z6mkgg a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the wate94/da bn ot-j2qmd -oar rises in the tube to 4.0 cm aban-tj/am ddb42 qoo9 -ove 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 height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m an,;gjf si+ cog+d width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy wat,ogf; + s+jicger is 0.0260 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular fra3y6f -6ml9la3 miw;g kwtpps,me has length 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 surface tension 0.026 N/m. How much a-s3,l3pi lf66p gmw ywmk;9twork is required to move the adjustable long side so that the frame is 12 cm square?