The three common phases ieksz1se (2 ,n62tfi mof matter are

  Density is

  Substance A has a densit n,ezahzy-3j) ,4 kacrl-g, hxy 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 pr q2+oyyp-k1c ke64 wok;n7d mdessure?

  Consider three drinking gla-0f 4x mkyjo p/j ca*:d,va ,n:qnk+yusses. All three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glasv:0kycna/,j:4x+p ,jfouyaq-n *md k s 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 at the bottom?

  What is the difference between the pressures inside and outside a tire a u)orzh;rirg;+w .-sdjo ,r;called?

  When atmospheric pressure changes, what happe0fzt- mxft m2.ns to the absolute pressure at the bott2zmff -tm.x0 tom of a pool?

  You are originally 1.0 m ben6;q +e nrre8,pkv;; enuec1lgx sdl)j: vp;g+eath the surface of a pool. If you dive to 2.0 m beneath the surface, what happesq+ en r;vxgjp:+6;;dl v;,c)r ge8lukneep 1ns to the absolute pressure on you?

State Pascal's princiqj /g7)u2abcwple.

State Archimedes' princ48ee yx:3ax ckw;.rct.ws5v4bir /osiple.

  $50 \; cm^{3}$ 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 consvpj-i4r5qot4)kwqo, 6hnj t )q44jx ftant density, what happens to the buoyant force on it4k 5jjv,6iphfn)tt -)4qxoj4 r4 qwqo?

  Salt water has greater density than fresh water. A boat floats in both fresh wh)o 29k rnw+3tnbuw .hater and in salt water. Where n+ 9wthorkw 3 .)hbun2is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in botnk*kym9n4ae4f-ccmt- u- -bzh fresh water and salt water. Compared to the fresh water, tca-44zf* mbn t-uk--knc9 eymhe volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mer:jro7-3kej6hx i.krncury. Where is the buoyant force on the ball rjhk okx7-.j6r:nei3 greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10u818. t45pay tqxq5it + i vd0i0/mz-lirnuk a-kg piece of lead. Which has the greater buoyant q/ti pqit nrv0ua k+a8y0mdl5ix8i.1 z- u5t4force on it?

  A piece of iron rest-he f0os4kd:1oz 0 gahs on top of a piece of wood floating in a bathtub. If the iron is removed from the wood, what haok-zfde0 0gs4o1h h:appens to the water level in the tub?

  A piece of wood is floatin6uqh4hdk(n hfv o 4-i:g 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 taken off and placed in the water, what happens to the waf(:-h4kui6nv q hdho4 ter level in the tub?

  Water flows through a pipe. The diameter of the pipe at pointhbu;mje3 :3tx B is larger than at point A. Where is the speed of the water greater?:;bemj 3ux ht3

  An ideal fluid flows at q0,fk ( fmjn21q2lacy12 m/s in a horizontal pipe. If the pipe widens to twice its original rad0ff2 qlmjk ac(1 2,yqnius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a hor2 dg apku o13bco/pk.iwrw087izontal pipe. If the pipe narrows to half its original radius, what is the flow speed in the narrower sectikbr 1w8gc/3 .o0w kappoud27ion?

State Bernoulli's pr8q;p )(m 8rltfbmm,nginciple.

  Which one of the following is q5b nlr)g(j5 i do4m*xassociated with the law of conservation of energy in fluids?d( lj) bmo5*5gnxir4q

  As the speed of a moving fluid increases, the pressure in the ( *b 3kf+gxtvnfluid

  Water flows through a pipe. The diameter of the ksg/n-z.6f,j0u call o 9in a3pipe at point B is larger than at point A. Where is the water press3,-9a/ il6clnun oag s.jzkf 0ure greatest?

  When you blow some air above a paper strip, the paper rises. This is beklesw rx2r+) 6cause

  A sky diver falls through the air at terminal velocityar (7 er z;t t 3*d-snnuvwv,9owx1)oj. The force of air resistan(d oun o;1 vttsjnz*xeaw, 79wr -3v)rce on him is

  Two Styrofoam balls,8upu3z oxs *re*+6kku of radii R and 2R, are released simultaneously from a tall *pr *s6k 3ue xz8uku+otower. Which will reach the ground first?

  When a small spherical rock of radius r falls throughrl 1m mp*vyu), water, it experiences a drag f1 mrmy*l),vpu orce $F=arv$, 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 effiovs2 xh,sm w2lbxu866(a o*lect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities8h2oumw,l *6(6siabxlv o xs 2 below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diavd-wnq b mib 3e85a:9qmeter of 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 i3qw8em- qd5b:9bvnain pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have the same diamh fgvf r(uy0j,+.jf4qto-pc x ;p7lh:eter, but pipe B is twice as long as pipe A. Wav: -jfhqchxt pgpur.o fyj,0;74f+ (l ter 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 flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "greasyn80 blrxu(7j1lk b7lmmvu 7- e" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physiker lm7 vej0kumrnl77 b1lu- x(8bs", this is readily explained in terms of

  When a tube of diameter d is placed in water, the wauq5/jrpf h/qjo(+d p.ter rises to a height h. If the diaqjf/+p/u jqo p h(r.5dmeter were half as great, how high would the water rise?

  Certain insects, suche.sm,ldb b z dyu(m2q )n1br1y+tuk(6 as the water bug, are sufficiently lightweight that they can run on top of water wiqbkbrny +bu(zd.ml6s ut1m12 (de) , ythout 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 weight of bug B?

  Certain insects, such as the water bug, are sufficien)p )4gjqygs1esrsu 3 )65ym lsmt- iv4tly 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 fqj3)y 4sssmt g)-)mvy u5l4gi e6psr1 orce 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 r4 gmy,k 9ehwz2mnm8;p h-k7qsd5g78v7qxfq x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its densitf xy4-75877zmsg8vdwe,qrhhnk q2 mmkqg ;9 p y?

  A liquid has a specific gravity- (zaa ,m)uurhty8tl :ee4b i+ of 0.357. 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 gumcoap v y).c 5 v9blu2+:q18vl y/utthe maximumb/.y u+gum5l t1a8p:)2cyqv v vuc9lo pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snod3i q5fity ) ve:ig:4ywshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (ab/vlq o/w az8-psolute) must a submarine withstand at a depth of 120.0 m in the ozwa-l8/ q/vp ocean?

  A circular window of 30 cm diameter in a submarine can withstand a maximuk7tct),f ra: em force ,cf 7t:trae )kof $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure if thepe bqb))g-mo8u,t 6kx absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m beq9 f/ox7*st h*3iq owp;rvu,jlow the surface of sea? (The density of seawater is 3 79/ *pr,fxohq*soj tiuw;v q$1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 s s28hnj4:xu edm 0 5;)/qnowmyiv3zm m below the surface of sea? (The density of seawaomm8xm4iw; 5z3 02jvensd /yq:husn )ter is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machi l(j8v m 8 vkigmlt9)5md q-dyj:9p5ryne. The small piston hasy v-l859l d) i8 kdjjyvq5m: rgm(9tpm 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 rq0;xbd;og(k of a+qa/adius of 5.0 cm and the large piston has a radius of 15 cb;(a0gqa/ kxo +qfdo ;m. 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 byb,)e 2e2vagj6u-j cbc a 25 cm diameter hydraulic piston. What force needs to be ap) c26 bge2aucv-bjj,eplied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a di ,2 fpca.dqo9;2aslafat qa.2 ameter of 8.0 cm, and its large piston ha.;q,a2d ptaso2a9 2ac fqlf.as 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 30 N ibp 9 wwdp;ophk5/lh y iv;bdr0 c)z*-4n water. What is the buoyant forczpbvp0;podh-*;9w d) /k rw4b5 cihyle of the water?

  An object has a volume63rmm 6kyny 9/d/+fbf kb s5u0evvy8f 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 iswg 6wndrz+s8v )4zi ;l8ny gn. supported by a string while submerged in water. What is the tension in the string? (The specific gravityi8 z)w6z4g .lnrwg8ndv;n y+ s of iron is 7.86.)

  If the density of gold +oidzoc61xnso9 bo*3xh: g;sis $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine )vdr .g9mwiu4 (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 immer 8 +i0 qbf.irmvhy 0:z5q3cdqksed in water. W.c+i8iqzk ry hqqv5f m3b0 d:0hat is the specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Now a 2/p3zu*, dy 6asuj jgw) )uqzg70-g piece of copper (spec ayu/)d7pzwzguuq6j )g*s3j, ific 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 we/geq fx7y1d*)gh nf(q/8ov .0 kg 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 diame rq*kko7f3vqy.k+ :e9mlx 5 xlter 2.0 cm will just barely float in wate exl5:x7ro3kv *fy+kqkm9. q lr. What is its mass?

  A rectangular box of negligibleununl7g2h .s:v h t8h0 mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How mansuntgh0.h2vh 7 ln8:u y 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 beneath the surface of the wat9uvr)68vvq yp x4xb-s;1jugeer. The weight of the displaced water is 200 uyj8bv4x;1pvr x6svq)9-gu e0 N. What is the weight of the object?

  A solid object floats in water with three-fourths ofilz ba:sr)iygebmnc2qh,5q , -s 1n(. its volume beneath the surface. What h2abli5:,n,( b-iyg.1cr)sqeq snzmis the object's density?

  A 200-N object floats with three-fourths of its volume beneath the surfzb ol:+ l5w ef./;fsqtace of the water. What is the buoyant force on the object?eo5 fsl/ql.z+ fw:;bt

  A polar bear of mass 200 kg stands on an ice6e5lruu k0 c4f3zjmm- floe 100 cm thick. What is the minimuukmc5em l-fru 406z j3m area of the floe 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 dia(wijt(wh pxpbjf,:1cqzp5( ) meter 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 2.0 +t ly s/9fz4gbd+5kyp0uvm/q cm diameter restriction in the line. What is the velocity in this restrictizgfd5/vk9ul/q+ 0ty byps +m4on?

  Water flows at 12 m/s in a h3btdbrc p 1-k8yy*5fe orizontal 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 supply a drinking fountain with 300 mku mp*wy )09wxw)5dz7xii jsk35i/z kPa, if the fountain i)i5mwkxj0*9yzsui k5/w d ximp)wz7 3s 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank proixc8wi+yab: xi7 d9,b8.o that holds water at a depth of 15 m. At what rate will wop.:iy wc ri8b 9 xdxa+,7ibo8ater flow out of the hole?

  Water flows through a horib:; yb)cfeq luh;, y1iw,2aaxzontal 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 viscosity of 0.2 :9e7abi :7bxio.i 9bv;rvuq l0 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 abovxbreb7v :79q.bi:ul a9i o vi;e 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 tiaz2 61oy 5jd :xubqtm97gcfp-,)f csessue on the wall of an artery decreased the radius by 10%. By how much would the pressure6 7xfe cgjf,b:2)u9s-yptazqm oc 15d 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 Apjkcf . 5q5s6s has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it risjs 5p.sqf6c5ke in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in a calq,b1vjp4r v3wz ad-, pillary tube of diameter 1.2 rq4j-,blpzv a,dv 1w3mm?

  232

  To what height would water )j r6iljv*v7 pat 0 degree Celsius rise in a glass capillary tube with a v*6ij ljr v)7pdiameter of
0.50 mm?

  A narrow tube is placed vertically i+ ,:o4urmkm9pl8 p (hacfne5jn a pan of water, and the water rises in the tube to 4.0 cm above the level4:9 h m rpfmnu5+eo, ap(ckl8j 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 rectangul e)u 7rr;,fgres ss;5gar frame of length 0.120 m and width 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 does the soap film exert on the 0.600 m side?usfg r)7r,; 5 gse;sre

  An adjustable rectangular frame has length 12 cm and width 5 cm, and is built inkv v7b(cy hb.yuzl6 8 el:1z0r such a w yru6k.bl(ybz l81ec7vh v0 z:ay 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?