The three common phases of m/)buzj m93jzlatter are

  Density is

  Substance A has a densut.b 03 .7kdpda;fwm kity 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 b (pz punqz59-unit of pressure?

  Consider three drinking glasses. All tf jr8fd k-:/ )chk5ddghree 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. Which glass has the greate dc gjh5 /ddf:kfr8k-)st liquid pressure at the bottom?

  What is the differencekgtha u- 9)s b))tfifu3,jn2 1ji6k qb between the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure at t:9byyf/oisg-i6,i7qgib m/ k; 4zf a 5eg wnx*he bottom oeaymiy/g5xi f-, 7* g: g9q4/ fsnik;bobiz 6wf a pool?

  You are originally 1.0 m beneath the surface of a pool. If you o7t)pi 7b9ss1xle 8chdive to 2.0 m beneath the surface, what happens to the absolechis9 xs )78l7pt bo1ute pressure on you?

State Pascal's princdl5/ufd0 eol*q1my) iiple.

State Archimedes' principle.m:ud 49 nv xcvwuw)+)rtz-y,rl .tpa 6

  $50 \; cm^{3}$ 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 dea (5l3yiopz ,/7wr aktnsity, what happens to the buy(t p5lw7 ok r/3azai,oyant force on it?

  Salt water has greater density than fresh water. A boat floats in both fres bxjf87km6otjz 0v*d tp:4 sb0h water and in06ft7js:o0b vp*xb tjdm4zk 8 salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense t(lw rn h;z7x,+zhxga: han fresh water. A ship floats in both fresh water and salt water;xh (w:+,zz7nhg lax r. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in w5zoo t22xp;g5jz dh*qater but floats in a pool of mercury. Where is the buoyant force on to oq5t* 52; zpjxzg2dhhe ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg wxvtjky+y 6p+r;2r7 spiece of lead. Which has thvyr27rjkwxs y6p++; t e greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating9:j1)wwa :csuzbt d/fq+,raf in a bathtub. If the iron is removed from the wood, what ha+,atszra9 :w )ujbdf1w fq/c:ppens to the water level in the tub?

  A piece of wood is floating in a bathtub. A seco:2/ s(j g9mx)kejdy sknd piece of wood sits on top of the first piece, and does not touch tkmje/9gd) :sx ( syk2jhe 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 pipe. The diameter of the pipe at point B is l/ u(omsnv;yf:) xi/tg.pd yln:y+e 618elkfbarger than at point A. Where is the speed of the water greatx uyd;opyfe+8nb6 n.vks::/l )ftge/il ym 1(er?

  An ideal fluid flows at 12 m())2kf6 43mt:yxz0yi cf bcdbx /roqt /s in a horizontal pipe. If the pipe widens to twice its oriq 0 xtr)(d46f:ckticm /f zyybx23bo)ginal radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pi0.wkxz io (cc+pe narrows to half its orc o+xi(wkz 0.ciginal radius, what is the flow speed in the narrower section?

State Bernoulli's prinx x:rrd+1sj-z ciple.

  Which one of the following is associated with the law of conw7ktqyy1 cc2a e +x0k/servation of energy in fccky7wy1e kq/a0+ tx2luids?

  As the speed of a moving fluid increases, the pressure d/u w/ia)pzw* in the fluid

  Water flows through a pipe. The diamets6hchff55d6w8s kad. h* l j;ier of the pipe at point B is larger than at pk;ld wsshhf6*.a 58jidc65 fhoint A. Where is the water pressure greatest?

  When you blow some air above a pap+ o,,e x**phag(yh 2zhqcz:ws6 t2 vxwer strip, the paper rises. This is because

  A sky diver falls throug0cm0(5r axg cph the air at terminal velocity. The force of air resistaa g0 crpmx(c50nce on him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously fro fkle7kin56ex(l8 +j fm a tall tower. Which will 7l+f65kn(ee k i f8lxjreach the ground first?

  When a small spherical rock of radius r falls through water,8hieff(oo+ x; it experiences a drag for o(o8e i;f+hfxce $F=arv$, 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 narrolk)mzf;ys5d*qx8 o4mh /6bac w pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in themayd4f8)ol6sq 5*cmk h/x; z b flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diamo72 gd3rg*pl 1f1gjyseter of pipe A. Water undergoes viscous flow in both pipes, subject to ggy31fsrgo7 *l 1dpj2 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 )p9v 622ltt8 jq 45m;i eprlzvofte6hB 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 54h j vv)o2teilzepq rt6f2t 8l6p9;mflow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "greasy" taste seems1* t/ o vkqanjqf4,dd2 to be assoc ndf1/ kd*ot4qqajv,2iated with oil spreading out 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 k/ ca)xgzrg/2to a height h. If the diameter/2 ) raczggxk/ were half as great, how high would the water rise?

  Certain insects, such as the2 li,xnc- ms:wk bbx/mpe58q;7 t mq*q water 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, etctmi7*w :xpm,2/bqcqnb ms lx e- k5q8;. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweight th:rc4w p*xm ( eyo4ob2:x qxu wac//q4w izmd**at they can run on top of water without breaking the surface tension. This is pc 4q*o(4/xwcpzi* /m o4maxw:wuxq: rdbe2y *ossible 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 dimutm-egk4,-+-f s rww+fxl. jpensions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its density jlw--k+mgr sw.+exfu-p4 f,t ?

  A liquid has a specific gravity of 0.357, vcjbwk5p1+f . What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. qfvg9kz .(-z 5z, rexvWhat is the maximum pressur.-z5 qv z gk9vr,ze(xfe it can exert on a horizontal surface?

  A person weighing 900 N is standing on snmuk-ab/ms 1xy(2 tkx2 owshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstanp2(y:/kwq pw2m p9k0ltb aww .d at a depth of 120.0 m in the ocea2kt:qm wp wk.p/b(a2l 09wwpyn?

  A circular window of 30 cm diameter in a submarine can withsd,y l ix36)osztand a maximum force osd, 3yxio l6z)f $5.20 \times 10^{5} \; N$. 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 isy bsoy0373y hn n4qu(w 300 kPa?

  What is the gauge pressure as/-tkk x.crne9. uf/pr 4 y+rpt a location 15.0 m below the surface of sea? (The density of seawater is kp /x rrp49uty.+skr-f/ecn.$1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 mm;9 fqriq 2se36wv6sixbzp() below the surface of sea? (The density of seaeqq3f6) i 9msixbp rv 2;szw(6water is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machin(xme;1 *y ,6ylj k+ jedlel vk.qi08vs( l/yeue. The small piston has a( .l6 jkle;u8/yqj(vs10,e+ey xklmvyie*ld rea $2.0 \; cm^{2}$. 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 hmu,t jr 0egx3g ;wv+1nas a radius of 5.0 cm and the large piston has a radius of 15 cm. x1,n; tgvwrguej0 3+mWhat 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 lifte y:h/u4ldux(bos* d0r d by a 25 cm diameter hydraulic piston. What force needs to be appli:hys 0dl*u xd (b4/uroed to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameterafxz.v7d /att ;y0.ei1a :tha of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raise:v;fa tax 1h/t07t zaa. .iydes 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. Wh xkb7g+ :/2mev,jpe riat is the buoyant forcxjgbm7ev/kre+ ,i p2:e of the water?

  An object has a volumei vq;2 1-sgimop2is/a 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 string while subrabug)l9/yi /zes. 6mmerged in water. What is the tension in the string? (The specifl g 9bier )m6.ysz//auic gravity of iron is 7.86.)

  If the density of goskun**+ n*4.q ay 1kqmzdck :tld 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 , ()tiq;5rl ujoyh*mc(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 when8z1od fef)yi8 it is in air and 6.86 N when it is immersed in water. What is the specific gravity of tho8 fiydf)e8z1e object?

  A container of water is placed on a scale, and the scale reads 12x3qu , vpnb/g;0 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered intp;bv x/nq gu3,o 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 densitv58r7 mr+gv ub3erdt z 56:jyky 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 floa ;) yht)qm, +d8wxa/sxby ii1nt in water. What is it,sw t)i8 /bq xmaixn) 1+y;ydhs mass?

  A rectangular box of negligible mass measures 5.0 m go ,y7o1ex r:vp:s3rclong, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box befoe,scxo3 7yr1:vog:r pre 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 surfvq wbik9* 1my-ace of the water. The weight of the displaced water is 2000 N. What is the weight of the object m ybkq*wvi19-?

  A solid object floats in water bd d+s: fz;v,ez+9(qjhqoo w7 with three-fourths of its volume beneath the surface. What is the object's density?;sfjo7zeb + wo+(z:,vqh 9qdd

  A 200-N object floats wite+j/hfrejshe+m p v+2 m8yr:0/v, d uuh three-fourths of its volume beneath the surface of the water. What hhvvjs/ +r 2 j+fr:y, 8e/d0peume +umis the buoyant force on the object?

  A polar bear of mass 200 kg stanmgp g8mhwn w/+e78i9dcgx3r nqd7 .;t ds on an ice floe 100 cm thick. What is the minimum area of the floe tha8xrm/.+ nig me7w ;whdpd7c9gq g8n3tt 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 diameter 3.0 cm at 2.0 m/s. Find thesx vrol97 mx5/ej3da/gy 6l3k flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm mo s -.ptq oojrtqj1359fy- r6diameter restriction in the line. What is the velocity in this restricti s9fojtrroy1q--pt 65.3moqj on?

  Water flows at 12 m/s in a horidtf/3fjp3iubf x2b*;hke:9j7 i f b j4zontal 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 mua0 c9kab l *,t+yeh0take for a pump to supply a drinking fountain with 300 kPa, if the fountai+yh90kce*,l tmua b a0n is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a watem(si;w2 bu( zvr storage tank that holds water at a depth of 15 m. At what rate will swuib2zv(;m ( water flow out of the hole?

  Water flows through a horixl ww*5y96q8 -*mao2az p mlfls))i 7z zzlm:izontal 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 viscosiylj/mc5xs3( j,.m dotb 9 go9cty 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 theto( 39/jo .c c bx9y,slgmmj5d 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 fatty tissue on the wall of an artery decreased thfxsr/5-g/h f oe radius by 10%. By how much would the pressure provided by the he5ho-r/f xsg /fart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Ti3yl:7 f:ff-v;wqor wube A has twice the diameter of tube B. If water rises 24f3wwl;:q:fiyv o- 7rf cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water risefcqxav8; p gj+9si:- i in a capillary tube of diap9iv;: a jig+cxf q8-smeter 1.2 mm?

  232

  To what height would water at 0 degree Cu:qt:oe;r: bro5g yi1 elsius rise in a glass capillary tube with a diamee ;qo:1biyou :5tr:gr ter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in 3 7ap)ny(tvzj 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 happens to the height of the liquid coluv)3z7tyn(a jp mn in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a soaufy.6r n:qo q1p film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force doeso16uqq:ryf .n the soap film exert on the 0.600 m side?

  An adjustable rectangular frame h(qt powljwn9m-yp./ *as length 12 cm and width 5 cm, and is built in such a way that one of the long. (jlp nw-y/p qwtom9*er 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?