The three common pha i 1ue48 i6 oqdihp7nsp*:a7elses of matter are

  Density is

  Substance A has a den x;huz zvtu8md8h y1.0sity 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 q3yn8 j6ty 5s syj3mq6pressure?

  Consider three drinking r qt 8ol9v4.*:nnqnei glasses. All three 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 morri8e:q nlv.o t9q4n n*e 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 pressures inside and outsiupbz h4k/9k96pup f-ude a tire called?

  When atmospheric pressure changes, what happens tongl4; b/z c;ce the absolute pressure at the bottom ;cze/;4c gbnlof a pool?

  You are originally 1.0 m beneath the surface of a pool. If bu *;g 7 xw qmm:q/36dpmim*plb s5z(syou dive to 2.0 m beneath t m*wmgbbsx6l *q;3ps /5(impdu7m:qzhe surface, what happens to the absolute pressure on you?

State Pascal's principle. 0n o33k kc2/w3xo)defjs79;ewe pg qb

State Archimedes' priq7 s*ha/ nn)xrnciple.

  $50 \; cm^{3}$ 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 oug5c5 av) cot*f constant density, what happens tu)c togc 5av*5o the buoyant force on it?

  Salt water has greater density than fresh water. A boat floats in both frnw1 4csbuoicnu v,(5; esh water and in salt water. Wherecu;su5 ,4iob nvn(cw 1 is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh water 3lt t0jhi g):c+gbiv6and salt water. Compared to the fresh water6btvi 0tgji:3+ h)g cl, the volume of water displaced in the salt water is

  A steel ball sinks i v1: , n-dfks mf6ox,ihtw54rhn water but floats in a pool of mercury. Where is the buoyant force on the 5fr4h-xhsmf61itkd,w , nvo : ball greater?

  A 10-kg piece of aluminum sits at ,cio cm hm5kds5g5a /h9 /:alqthe bottom of a lake, right next to a 10-kg piece of lead. 5:iok s cl5/mqhmhg/acda 9,5Which has the greater buoyant force on it?

  A piece of iron rests on top ob:u3.q6 mf v2l9,bplb x2d; bjq-trqpf a piece of wood floating in a bathtub. If the iron is removed from the wood, dl:m bp. p9tvbqru-x23bfb ,l 6q2j;q what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of4n z:sry2 ug*t wood sits on top of the first piece, and does not touch the water. If the top piece is taken off r gn*s4tzy:2 uand placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pip09evh t:tbs8k e at point B is larger than at point A. Whe80th9eks v:btre is the speed of the water greater?

  An ideal fluid flows at t wcnv7k(y z8912 m/s in a horizontal pipe. If the pipe widens to twice its orignw7 tz(c8y9 vkinal radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a honk:x jvkm 2* vrb+:vgsso4h2 4rizontal pipe. If the pipe narrows to half its original radius, what is the flo*:gjbk2n:v2vh r+svo s 44 mkxw speed in the narrower section?

State Bernoulli's princip.n z ano ,l/)k70jrhiple.

  Which one of the following is associated with they( 0aet):,myuuz3oa c law of conservation of energy 03youya,a etuc)( zm:in fluids?

  As the speed of a moving fluid increases, the; k h:asf/rrn1 pressure in the fluid

  Water flows through a pip xa fy+0 6as .1g.nkqbke;:uvqe. The diameter of the pipe at point B is larger than at point A. 6a;qq eb uk+ f:1. nvg.ysak0xWhere is the water pressure greatest?

  When you blow some air above8m,pkkmz z9p:; 9 rk cl;.1pidauf.oz a paper strip, the paper rises. This is because

  A sky diver falls through the air at t* hi 5fvux3zoea9b;dx5 b6n)a erminal velocity. The force of air resistan b56 a*fadv5b i xxz3o)e9hu;nce on him is

  Two Styrofoam balls, of radii R and 2R, are releasedz 8y+ r e0-nk5)lkztq 5slyaoz.z29v w simultaneously from a tall tower. Which will reach the greyywzo- .al 0lz+nv zks 5kr29qz)8t5 ound first?

  When a small spherical rock of radius r falls through water, it expe+qfffob2h :qcm:. r3hn. w9tmriences a drag fofrnm .fb+.3:cm2q9hth : qwof rce $F=arv$, 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 fluidlet*som*z*w d)enc2hf )n0 -h through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the w ed )*fon)he hc2-n**tms z0lgreatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twicew tuk7x: t49fvbfdht*; 6 6sio the diameter of pipe A. Wvtu k6x ;*7fs9wfi:d 4bhot6 tater 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, what is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twtwhq bwob/t/,8s,r;6e eyp*rice as long as pipe A. Water undergoes viscous flow in both pie8b wr6,rt*eqpob w/,; ht/y spes, subject to 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, it often tastes greasy. This4o7ya r,wh m8 h5gj)tx "greasy" taste seems to be associated with oil spreading or hx)jthg7yaw, o85 m4ut 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 - 1avwzgtu1o (k;:dg5*j 2dy4i hpc uais placed in water, the water rises to a height h. If the diameter were half as great, how higc:jd5dp(aahu wk ;yg-1v*21 ou4 zigth would the water rise?

  Certain insects, such as the water bug, are sufflc5 matim:y: 7iciently lightweight that they can run on top of water without breaking the 7ay5mc:tl: m isurface 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?

  Certain insects, such as the water bug, are sufficiently li7;aczqx)q)m-x)3f hwxs ( 9rj6 dbudoghtweight that they can run on top of water withoutqd ojas )9rm7)(6cx;zq-u b)dx fxwh3 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 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 30.0 g. hq0za,c /td)s What is its de /)0cz qasdh,tnsity?

  A liquid has a specific gravity of 0.357. What is its density9tuefuhk bn * /sb;:3k?

  A brick weighs 50.0 N, and measures 30.dw6ci,y uy9 c*0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal suu9yc*d w iy6,crface?

  A person weighing 90ihb+ ig(3 v5 j:buj9 hv4e -fhnll3l/o0 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 withstand at a dp hk7ilu/kre0 1f xf(ml 6-x:fepth of 120.0 m in the oceai 1p lm6/x7 f( k:lexfr0-ufhkn?

  A circular window of 30 cm diameter in a submarineclu() tsx euj;rnogdf* *5-r, can withstand a maximum force of( rxcdfl*os*,e)-j utrg 5 ;un $5.20 \times 10^{5} \; N$. 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 pressure i v u-zu62bwh*3l6srpf s 300 kPa?

  What is the gauge pressure at a loca1h wcjn ipax-;wl9f;h7: w9je/ gsd9s tion 15.0 m below the surface of sea? (The density of sepe1djnw;wl 999h /;a: - scw ghsij7xfawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m bb di59:2vol.pavf /brelow the surface of sea? (The density 9/.a i2lv b:pfdb5v orof seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic l1p, k0ungl1hmachine. The small piston hap,0n hulkl1g 1s 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 5.0 cm and th ejimpq;/1 l56 gk+mcve large piston has a radius of 15 cm. What forc kv1lc/q+me5gmip;6 je 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 l(s:y60.lq hg,zo ya lwk2 r(xnifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter pissl,6a wl (hoxk0yrz2:gqy .(nton to accomplish this?

  The small piston of a hydraulic lift has a /bn;x.a cg3dr xlqqzj)6t2w 2 diameter of 8.0 cm, and its large piston has a diameter of 40 cm. dxzwb )2 ;j/qrt6xl2c aqn3 g. 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 wat uj0 qey6)gq:qer. What is the buoyant force ojuey:qg 0q q6)f the water?

  An object has a volume (2 u 9yireucp2yx2( xy,dof(bof $4.0 \; m^{3}$ 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 u el.r-k8 jr l rw9zunr0+v63pwhile submerged in water. What is the tension in the string? (The sp l w k6.u0re ruvjp3n9l+-r8zrecific gravity of iron is 7.86.)

  If the density of gold dzhbzz5/zh.1/m/ qam2qmz u/ 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 (densityxt2we +bd q/6ln:f/v0pnjb/b++wam r = $7.8 \times 10^3 \; kg/m^{3}$) 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 whent9l xx0ow +/oh6e-y0uoi kib( it is in air and 6.86 N when it is immersed in water. What is the l o wbytu0 0+i (x-khxoo69/iespecific gravity of the object?

  A container of water is placed on a scale, and the 41st3 6ihuni/)yjae 3pf.u ni (,athv scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowereehv .attf(ui j/n,uanyp3is h6i3)41 d 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 kl334ft/atu wm hcm3 7dg 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 cm will just barely float iuzw a8.gko+hly1xcn*h 4v/4 tn water. What is itc8n 1 +khgt h zw/u.yl4ovx*a4s mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m widqxy s9np y-v//av4 o7msg*6glm;oy)b e, and 0.50 m high. How many kilograms of mass can be loaded on/ma nlg9b) y*so s;7 mo-xvvypgqy/64to 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)q)t2, t3,4nnd hlnoc3xmb7ijvykm( volume beneath the surface of the water. The weight of the displaced water is 2000 N. What is tq(ly xt3i hvk,nd4cmjn )o7b2 ,m)3n the weight of the object?

  A solid object floats in water with three-fourtge)4m4a 1saxb hs of its volume beneath the surface. What is the object's dmaax)g41b4 esensity?

  A 200-N object floats with three-fourths of its volume beneath the surface of thw hhtw1;)dcbt* us 8x7e-a e5ce water. What is t eh x5thccw;1ea-*7bd) tw8 ushe buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is the m atfyu7jf 6ngm947i3 2r pbnn5mfvx4.inimum area of the floe that will just support the bear in saltwaterf43.vbmf6n4 ug9n52f xnptir7m 7ajy of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm atwt7 q/ohab3/he5e lx3 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameternt1lk5jwfc,whb +sz+apc+s.+5z4n f pipe at 1.0 m/s. There is a 2.0 cm diameterc1+4zntsw,+ bch n+5fz wlfk+5ap .sj restriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe w7:lnsryg.v+0 ,tst, alf9 xi yith 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 foa1qcm7 2ov 1hgr a pump to supply a drinking fountain with 300 kPa, if the fountam721chav gq1oin is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank mw 5wsy0 5eh(l ru8dhgqi/ a-2that holds water at u(2wyhdqr8i5 /h05slewam- g a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectional ar:+ md+d gnd+voea $10.0 \; cm^{2}$ 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 t*n6jwbu q*d6x ake to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm indbn **x66 uwjq 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 of fa j,.p9n twiqc8at ;mm+tty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintaip, n;wij.+ ct 98mmqatn a constant blood flow?

  Two narrow tubes are placed in a pan of r4he 8f25g, qwp qfp2x ufb5t(water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in tuwpgfx( qtufhfep 452,q5r 28 bbe B?

  The surface tension of water is 0.073 N/m. Howq-e g4 )(y: tob ktuo;2o/4p1yrh9a4kxx bbkd high will water rise in a capillary tube of diameter ;bkorub/o(4y2)x9 4 ye gx4atk:k pb- o1thqd1.2 mm?

  232

  To what height would water at 0 degree Celt. ( c,f )p he31hzdo)tku:rausius rise in a glass capillary tube with a diamte(z1po3)u:cu hh.d)fr ,akteter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the wsxl u3p-zs5 l7ater 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 value by the addition of some soap. What happ3us5lpx sz 7-lens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 1jfv8fue p07ic*kz j 20.600 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 doekzuie*f v2jc f8071 pjs the soap film exert on the 0.600 m side?

  An adjustable rectangular fra1jsz9hbcm) e 0,;ofd xme has length 12 cm and width 5 cm, and is built in such 0;)hfj 9,1mbxz ceodsa 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?