The three common phases of matto +ja t(ani :e09b (yxqc9r,wrer are

  Density is

  Substance A has a den.c7tl4bzx7w. ,pzi)b g ;oqtgsity 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 u jg;3y-pdzt 26mlkw 6g.kmph)nit of pressure?

  Consider three drinking glasses. All three have the same area base, and allgd+ l1r , y7g (:i7/pyufzi(yri(ythf three are filled to the same depth with water. Glass A is cylindrical. (y+ylgzrrh u,717(fi pyg( iyf :/dit 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 at the bottom?

  What is the difference between the pressures inside and outside al.l : sofpv u5(a:5a5yhuus (l tire called?

  When atmospheric pressure changes, what happens to the absolute pressure n ;cfu 79w cvk-kj:9luat the bottom ovj- 9;l9cu ukf: cwk7nf a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 6n;06+ad tx rcbpszhhniz, 9, m beneath the surface, what happens to the absolute pressure on p6 ;6 hzn,,abz9 i+rdshtncx0you?

State Pascal's principleyf(.6bnzz q 7j.

State Archimedes' principl/j 3- 7qsaqybce.

  $50 \; cm^{3}$ 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 density, what happf , eft,+9xycyens to the buo9exyc,+ f f,tyyant force on it?

  Salt water has greater density than fresh water. A boat floai57yjvso v4c18ju4nmts in both fresh water and in salt water. Where is the buoyant force greater on th8ojjy44u cvisn1 v7 m5e boat?

  Salt water is more dense than fresh ajil.ic6u os5xk njcz9* e;+1water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volj* 9i+x ukzc .1ia5oes6 cnl;jume of water displaced in the salt water is

  A steel ball sinks in:xuqnpm l82.(ef 28t zbglu 7x water but floats in a pool of mercury. Where is the buoyantxmgbue: (qu 72l.np8x82 fltz force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10za;zl: wspg.3 -kg piece:.w zzpa3s;l g of lead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bsen3 t x- nbddg.u 1t84p7ef(gho:r.a athtub. If the iron is removed fr(stn:gandu .3p .- dh1eg8 ro7 fx4betom the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits ournze- whe2jx is /m/85ox56f n top of the first piece, and e56u n8 eo frwhm2j/5izs/xx-does 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 pipe.va p t z98msxr25gi8oooy-2zui.(2bm The diameter of the pipe at point B is larger than at point A. z2oiz-2amxs8 .ui 9mooy8rg 5p2 (bt vWhere is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens togd* l6+ xaa/gp twice its originalxgl g6+daap/* radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipeb-c i+rnfm s1-. If the pipe narrows to half its original radius, what is the flow speed in the narrower s-fc in-1b msr+ection?

State Bernoulli's principlemlxf z)ob..9-fva;, zx( lwk e.

  Which one of the following is associated with the law of conservation of eyz:9q* uj/ w0i*8bmvk0cglr snergy in fluidm* j q8w0i zr kbs0/c:u*gvly9s?

  As the speed of a moving2xyeefp)g1x 2h y)s3l fluid increases, the pressure in the fluid

  Water flows through a pizc gu+4;.,xs3z5np+fq y yn5dlsz zc -pe. The diameter of the pipe at point B is larger than at point A. Where is the water pressure gre,sc ;-cgzfdnl5z. nxuz+53qs 4yp yz+atest?

  When you blow some au4s 9sn bm2m,mir above a paper strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force qe pnwcluj219(f1;: cxjaf z +of air resistance on hifzujj xlqn 1e12:9w;+cfc( pam is

  Two Styrofoam balls, of radii R and 2R, are released simultaneousllj9v29; uoniws7e je vzj 4y(:y from a tall tower. Which will reach t eoyij9jwsv4 vne;(zu lj2 :97he ground first?

  When a small spherical rock of radius r falls through water, it experobk) e*y2bgng5*m0 a giences a drag forc*0bn a g*b k)yegog5m2e $F=arv$, 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 ec2 b4grg,w-c bffect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, wgg cr-c42,bwbhich would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameter of +0b *gruje n1 sbdu l9lce *)hy.w4:id6lqny2pipe A. Water undergoes viscous flow in both pipd:eu ile)r4wqduh1n*gnl jy0c6 b+ 9*. lbys2es, 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 havx/fa i8w nk*y2iq) uzme5pm8 2e the same diameter, but pipe B 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 flow rief ny8*qwpz ma/2xm8) i5u k2ate in pipe A?

  When soup gets cold, it often tastes greasy. This "greasy" taste s;9f- :cx- wrryo wvro(eems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globulef (:r-r;xoy9 w-vcorw s. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placel0bu tdz g7fu,au p02ehof/86d in water, the water rises to a height h. If the diameter werdb67ap2tugloff 0z, e8uu h/0e half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight th)qeo pt.rsw3 -at they can run on top of water without breaking the surface ter3wq pt.eos)-nsion. 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 lightw+alrs4kr6of3( /fo ym eight 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. Now suppose that water bug B is twice as big as bug A in every dimension. That is, bug B is3a rs+(6oo k4ymfr/lf 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 massq/ye 6ev x*6m6loyo d* of 30.0 g. What is its de 6ovoqxym6*l*e y/ 6density?

  A liquid has a specific gravity of 0.357. What is its densih 4oy:9c 9yvjhty?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm0 )goepc88/kcwodg e7 x 4.00 cm. What is the maximum pr7 )kgecd o088wp o/cgeessure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. ko/jx bj7.2q55ze qae5zhut) Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 12blx6h.mug .0arr. 3 re0.0 m ing.ru.ah erlb x3r.0 6m the ocean?

  A circular window of 30 cm diameter in a submarine can witt yiw3 gy,tw12hstand a maximum force of2y3gw yt1twi , $5.20 \times 10^{5} \; N$. 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 is 300 kPzgku;tzl(- i 2a?

  What is the gauge pressure at a location 15.0 m be-ppa ugrxr2 23low the surface of sea? (The densua2px r2-p3rg ity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surfamgkf3*no c 8,8y6-ycoj tge7i ce of sea? (T 3e8 ty7my g,*f8ji c-6okncgohe density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston b fsscaw5x*nkt6wg5 se9 0w*7of a hydraulic machine. The small pistonsk n* 0ca 9*5txw ebwws75sf6g has 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 2 7do20* qvi pqzrqdp6nm7h8s 5.0 cm and the large piston has a radius of 15 cm. What force musms70 p6qidqr z8ph7*n2 od2qvt 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 a 25 cm diamet:b8kwdu).ao e er hydraulic piston. What force needs to be applied to a 5 u.w8:adek ob).0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its q p )8vk- fka(rt8agr;large piston has a diamet;pgrvkt kr q8(-f)aa 8er 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 in water. What is the buxllmj+jz1(k pp(4ua0, tm/ uzf, eos1oyant force of the1z4juseo, fl+/(t, ump1jml0pkza x( water?

  An object has a volume 2 9-mryeq2 nl9ihd;il 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 b)-hvlrw c6o (zy a string while submerged in water. What is the tension in the string? (The specific -zrloc6h ( w)vgravity of iron is 7.86.)

  If the density of golz ymq15fy,iby 4ydal.7 ufs*:d 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 (qw83;7r+d hz4d gm3yjb4jfyidensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 t8yg/:v bk(sq+*jczypn3bzi8m q4 /vand 6.86 N when it is immersed in water. What is the speciy8bi z/m 3g(jn 4s pvk/vz t8bq+y:qc*fic gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Nozpx2wpm /dtl9+i0v k-w a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread /2+ptmvzx p0ldi9wk- 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 densp-iw5)( q zojdftdy.9ity 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 floacsrl q8 5k0gd7r;e eh0t in water. What is its mase5 r0e 7 drscl0;8qkhgs?

  A rectangular box of negligible mass measures 5.0 m longbrof75t /l/xig j **qr, 1.0 m wide, and 0.50 m high. How many kil/lgqr* 7r if/jb*t o5xograms 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 water. The wxcgsh2a y;qxbh.csm3ih t 7v ;jxd ;/2hc1)s6eight of the displaced water is 2000 N. W2i hcyh3)6c2tq7 hdxs ch/gs1bjxa;xm;v. s;hat is the weight of the object?

  A solid object floats in water with three-fourths of its volume b2:x8phec7 y2 f2ho ormns 5j-v..aoed eneath the surface. What is thnc d r2 vohj2e5 - h8x7poym2s:.ea.ofe object's density?

  A 200-N object floats with three-fourths of its volume benedwxw;g.d vi.ro,hu+o bm0 f9n/ db+a+ath the surface of the water. What is the buoyant force on iwxawhn.;0ub b.+dv d/o gdr+9+,fmothe object?

  A polar bear of mass 200 kg stands on5suvn8yh tv 56(j0zaw8j (l pn 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 gra6wj8lz5(h58jnvpu t0nv( syavity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.5z xya3sm* emxh - rx6-ya4vn;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 ipgiu,+a-it1ztp /q6b he7( e why-jco o*3cg,s a 2.0 cm diameter restriction in the line. What is the veloci6 1uc+ehgo,7o3a- ztgt- * , hpbq/jew(ipyicty in this restriction?

  Water flows at 12 m/s in a horizontal pipe wit7(z+cg4q gi2ncz uvq 2h 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 3fgbzk9b6rd;5rx, ho to supply a drinking fountain with 300 kPa, if the fountain is 30.0 6orgbxh3f59, rb;z dkm above the pump?

  A hole of radius 1.0 mm occurs in the bottom of flt2/-jco vre4o/v) h )xu, qva water storage tank that holds water at a depth of 15 m. Axvooj,t-clv h2 )u/q4ev)r /f t what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectiona8ef/qp4 i w7h-e l3snrmez)+ rcjl-( ql 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 0.20 Pa-s. How long wv33 km:,b mlur;2oqpna*jf.xould it take to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diametefn pm vo. m*lj2a3;qr,: 3bxkur? 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 fatty tissue on the wall of an artery decreas)6md5 hcxnh -hh6b )tded the radius by 10%. By how much would the pressure provided by thhn6h )ch h-d tdb6)x5me 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 /6xdlbhr hgk-9 )m 1:djv ;ejsdiameter of tube B. If water rises 24 cm in tube A, hog) dbhh s-9j6kx/l rjd:e1v; mw high will it rise in tube B?

  The surface tension of water is 0.073 N8 * z+ld-mchtt/m. How high will water rise in a capillary tlt*hz- 8d t+cmube of diameter 1.2 mm?

  232

  To what height would watrfo2a3 w7-tgo 7j; k))rsr aloer at 0 degree Celsius rise in a glass capillary tube with a diameter k; ) f- l3rjw7rag 2aor)sto7oof
0.50 mm?

  A narrow tube is placed vertically in aheuwytp 0(k2iv++o v+ pan of water, and the water 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 happens to the heighy+(0e+ ovu2 phwvi+t kt of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and a82yrsopfd -6q; yo.jwidth 0.600 m with a soap film formed withina ;-62po.o fs8r qyyjd 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?

  An adjustable rectangular frame h.b5rz)v m8nizas 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 zbm vz)n.i58r 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?