The three common phau ec02iaa6wqlp -3 k-b:y9gf mses of matter are

  Density is

  Substance A has a densiows6,*cz( qy kty 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 a6vb jf6o)7hpxe+3cnh unit of pressure?

  Consider three drinking glasses. All t;f3g rm1kjnfl4es 3y7hree have the same area base, and all three are filled to thery 4 lgkf3m1fj73 ens; 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 at the bottom?

  What is the difference between the pressures inside and outside a tire called?,y:q-n uf2o17xxwand

  When atmospheric pressure changes, what hap /g:k0xzwrgy )pens to the absolute pressure at the w y/zgr:0gk)x bottom of a pool?

  You are originally 1.0 m beneath tm(mjpyx 3(r 7yhe surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressuxmryp((m7 y3 jre on you?

State Pascal's principltkj( urdxjlr l +p(iff 99;2n(e.

State Archimedes' prb:/z. syr 31 dcllgq,hinciple.

  $50 \; cm^{3}$ 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 intoa8 jpy7gvq;lm6c-(zkpkd 12 xnx* uk: water of constant density, what happens to the buoyant(pxp vg7 u*nma8zkk2j1 y :dk;6 c-lxq force on it?

  Salt water has greater density than fresh water. A boat floats; toxsl4x9/kw. vqsc* in both fresh water and in salt water. Where is the buoyant force greatex vc.s4k/lw;tx9*s oqr on the boat?

  Salt water is more dense than fresh water. A ship floatsyz*e05 6 rsrf/qsvr,t in both fresh water and salt water. Compared to the fresh water, the volume of water displaced 5 zt s6ry/e*rq,rvfs0 in the salt water is

  A steel ball sinks in water but floats in a pool of mejt+s, xml0e: mrcury. Where is the buoyant force omsem:t0j, + xln the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right nee+u f,/n91 sbzd4t x b9kaa,lzxt to a 10-kg piece of lead. Which has b+b9t,, s azkxzd nf91/4el uathe greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bar0o*ys*i9p nythtub. If the iron is removed from the wood, what happens to the water ly*o* 90ni yrpsevel in the tub?

  A piece of wood is floating in a bathtu sf3 c fc5n bw.q/vfpns;p/5y4b. A second piece of wood sits on top of the first piece, and dpy5 f .c;nq4sf p/f 5cs3wnvb/oes 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. The diameter of the pipe at point B is lx1m;mz wcj qo/c /j8,nv-jg5farger than at point A. Where is the speed of the water greaterqj/v mcjwm,j5/gx;o f1- c8zn ?

  An ideal fluid flows atu2 4ticwqh1),.u0tfj i7kvx vdzu0o(nq *gf/ 12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the f0ngu.vqz7hif )uv jutxq 1 2tkod0 c4i (/*wf,low speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal k))m6llh32:qhuo6, yx 0wtjnem+ nuhpipe. If the pipe narrows to half its original radius, what is the flow speed in the narrower sect)u0)m+hknn2lqtymuje , wh3h 6l: 6xoion?

State Bernoulli's princib61zz1gj irp*s 75:gml hx,viple.

  Which one of the following is associated 9j 5dk5soaxx)mceg2ydii+ ;j7- oo : fe) 8taewith the law of conservation of energy in fluys-x58ieecde7m ojgt5xjk +aaf);o:2i d)o9 ids?

  As the speed of a moving fluid increases, the pressu47pyq9,ge 0rmu, hu) q6 lwtv j5fc*wore in the fluid

  Water flows through a pipe. The diameter of thpivpoyi 387 k6e pipe at point B is larger than at point A. Wherek8ivyp73po i6 is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This ifpj8xg ucp ak-8(t*p()u yi6p1g,v vl/an8z js because

  A sky diver falls through the air at terminal velocity. The force of air v5e2 i:5h/ n6xwo : qqdn/stmbresistanceb:mntnxsvw625/qd i e o:q h5/ on him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneousl.9ndbn boh 5s:y from a tall tower. Which will rh b:b.9nd5so neach the ground first?

  When a small spherical rock of radiru 7em4 e/l udkbe-a:7us r falls through water, it experiences a drag force u ee/r-k: ead77mbl u4$F=arv$, 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 narrow pipe? That i4jj.pqt3wh4cmf4y 1 is, if you made a 10% change in each of the quantities below, which would cause the greatest cc jhf14ti4 ywp.4m qj3hange in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameter of p1tcr sy r(t(i8ipe A. Water undergoes viscous flow in both pipes, subject tot1s8( trir (cy 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 twice as long 5h *6lpfxw1h,m)z2 z qkrfh,h 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 xfq,k hh,rz*hp 2 lh1z) fm56wis Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "greasy" taste s0i/ o um-z7 egk9wfdp1eems to be associated with oil spreading out all over the supkg 1-/ fw9ezdumi7o0rface 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 height h. ql/2 ambe4es 1 If the diameter were half as great, how high would tsbmaee/lq 2 14he water rise?

  Certain insects, such as the water bug, are sufficiently lighsg854 )qk k/ wxjau:fitweight that they can run on top of water without breaking the surface tension.k/ax: s fikqg )8j54uw 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 as58sno sqg8 2 b,czk8z pcgr.,x the water bug, 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. Suppose that the maximum possible upward force on the ,2gbc8x8rs.oc 8q5 k ,nszpgz 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 mas; plvky*iov cp wm/4by8e0 lj*2.rr5 ms of 30.0 g. What is its dlrl * 20vmki*e4.py 8jvobm;y/cr5 w pensity?

  A liquid has a specifiqll;d),)g zz59uo ion c gravity 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. Whath ,/n6 xq iaw; lhf 080u:,j/ z+glzobqa)ywif is the maximu)buoh:/zn aiiffwaxwlh,q 8,0+ 6/q g;lzyj 0m pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowsn 6;tvv++0(pq. jyq3chyh s, sw/kgcyhoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstanufof :he1( .wld b:25e.akw nnd at a depth of 120.0 m in the l n wwfuk2d1( 5fnoe:: ae..hbocean?

  A circular window of 30 cm diameter in a submarg 3v :vvdzq l/rr*:/puine can withstand a maximum force of * /:grpuvdqrv/zl3:v$5.20 \times 10^{5} \; N$. 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 300z7/ wqei8qf 4ixyla-cyo fb,oa:8- 9l kPa?

  What is the gauge pressure a6zeszx f vn42yjjj34(h+v 0rc t a location 15.0 m below the surface of sea? (The density of seawater is02z+6rj xh cs4zfvnej43j(yv $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a locatizggcf)e.(ac lcs/3 b3on 15.0 m below the surface of sea? (The d/ cef33zb) .sag gclc(ensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a 4wujlnp 70e k,hydraulic machine. The small piston has a,w e nk0l4jp7urea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the smallgal xfarx+e6y ak96.*0gyn8 p piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to lift a car weighing 20,000 N on the lp8e6xa kr+al0gyg f6.x*n9a yarge piston?

  A 13,000 N vehicle is to nce(p . (/k+myzyb3:z. rivqa4tean /be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston ez3nt4py/zne.q(. +arkaym: b/v( ic to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large4rh6hc8ba :vv ,n-nnm piston has a diameter of 40 cm. The lift raises a load of 15,000 Nnv: c-h b8var ,mn64hn.
(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 buoyantl20yk xq.u9q k vrv,*o force orkq 2quo,0vyvx9*k l.f the water?

  An object has a volumxo,weeiha 2d**cy xd)m* 2q /y9lvnk 4e 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 wxs: *rrbm pdg 4lno0;w y)s:;qhile submerged in water. Whatprw 4; ml q *bg0nss)oxr;dy:: is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold9+,x t -4kulyy r00fqmg9wmhg 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 submari;;,ruf xavv.5 jlc8bsne (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 )5zusbpz-w ux ;wt,; -ql /mwq6.86 N when it is immersed in water. What is the u-smt5)wuzbx;; q zpwql -/w,specific gravity of the object?

  A container of water is placed on a scaleu 14kaeas7 gy-, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity g7 a 41yk-suea= 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 1.0 kg h vya :y84h6qxand 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 abr 3x,q h0,ioznd diameter 2.0 cm will just barely float in wbz,3r0hxi qo ,ater. What is its mass?

  A rectangular box of negligible mass measures 5.0 6)1:o8 dx1pjrz m ifwom long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it:1xfpw81omo rid)z6j 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 (yup83: d i5osgrhit2the surface of the water. The weighttgi8d r:ui 53o2p hsy( of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume (8wpmqoszch p1+-k w7beneath the surface. +w8pwm-s7kzq o(cph 1 What is the object's density?

  A 200-N object floats with three-fourths of its volume qrifzh tud6a z;y2vkp-x lm3 .py3-28beneath the surface of the water. What is the buoyant force on the or2 3yi.mqx2a; lpf zykhz- 3du -86vptbject?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thh9czqic +i46i .hcxy 1ick. What is the minimum area of the flc c+yc4iiz q6hh. i91xoe 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 diameter 3.0 cm at 2.0 m/s. Find the flow rat7n4u4 zzse nq9e.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. 3tgz 7k *us3+w(am)akwan0pvz7nig- There is a 2.0 cm diameter restriction in the lk +7*3z (t ag )wm37w n-pavnzkuas0igine. What is the velocity in this restriction?

  Water flows at 12 m/s in a8a2 8jho h wmz,ic2sy3 horizontal 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 6 lhl.9h6w-rwoyt9:c sn e de3300 kPa, if the foun9 6rdo3h9csn:6 - .wlytl heewtain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storaxbnm v3 )jikmc)bp 2-/ge tank that holds water atjb) b k2cxim)np-v/3m a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontaqq3db4m j7 ne1l 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 0.20 Pa-s. 5ir u6:k3v( t5kqfewxHow 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 neg(5vq 3e xkftwi:u6rk5 lect any drag effects due to the upper part of the funnel.

  Suppose that the build-up of fatti ,)u*0fhvr94cm ; oagl npf0py tissue on the wall of an artery decreased the radius 0uv4f,;9fpcml*r 0a) g hiponby 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 wa+ccig9 kkrzg ls93 72 nlj(y9ster. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high wils3cz c k 9l99sr k7(y2lg+gnjil it rise in tube B?

  The surface tension of water is 0.073 N/m. fw1(g-tb /wi z How high will water rise in a capillary tube of diameter 1.wi(/bgf- 1tz w2 mm?

  232

  To what height would water at 0 degree Celsi8 c9 zykbqp79pve db(9us rise in a glass capillary tube with a diametebqkpd9(vb87ez 9pc9 y r of
0.50 mm?

  A narrow tube is placed vertically in a pan of water/u43 0 xui3nc 2 ,dmm;wc-wdzpyxvv5 p, 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 sopc y20izuw u;53x 3x n/w v,mpmvd-4dcme soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame ai( bz h )m huq9c2k4 j)fgumhz7 lh6ofq4,s14of length 0.120 m and width 0.600 m with a soap film formed within its confined area. Iff4ouihsh9b6a( h )kmcum4z2,1 lz j4qq g)7hf 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 fra zui7g;j i/tn)nkr)m8 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);8ntngmz)i kji/7 u r 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?