The three common phases of manp *ai j. s(7ikis81gwtter are

  Density is

  Substance A has a density f2p+ vx r0y2vejh7vu* 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 pressurls(jrw9vt5m 9fwdi +cp 08jk-e?

  Consider three drinking glasses. All ti mqqh nn.-gbg7n 9*pdv0g6/rhree 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,ingvd b9mn7hnrp-*qg /g0.6q 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 pres:nz(v:u ocdw hj2ek7:sures inside and outside a tire called?

  When atmospheric pressu o zbu y(d1 st-7krl1ou8;8lrore changes, what happens to the absolute pressure at the b(tkdz8;1ys8r l7 ro1-ouo lbuottom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to t;1t6ulz s:p s2.0 m beneath the surface, what happens to the absoluzs;p tl1u6t:ste pressure on you?

State Pascal's princil:u di3 lp2g t+(ur n2qh;:fnrple.

State Archimedes' pri7 lyxixs ct,.2e812 pxt oy.qlnciple.

  $50 \; cm^{3}$ 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 ha(lu1urm p )ny/l-s-okppens to tn m-kyl(ro/) 1pusl -uhe buoyant force on it?

  Salt water has greater density than fresh water. A boat floats in both frzn/c4 yvuqzx m8w62 u2esh water and in salt water. Where 6qz2xu8/wy c umn24zv is the buoyant force greater on the boat?

  Salt water is more dense than fres3if- -bx rt i,q,i)bpsh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of)q-- tbspix3i , i,fbr water displaced in the salt water is

  A steel ball sinks in water but floats in a pool op c f93j pil7xt(hxas3/jt0 y1f mercury. Where is the buoyant force on the xj tcx1a p 7s3j0(tf/9ph3y ilball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right )kpr85o6ao.(fmlyj cic jf) . next to a 10-kg piece of lead. Which has the greater buoyant .fo i6c5cyj) lakpmr.)8(o fj force on it?

  A piece of iron rests on top of a piece of wood flovjrv4c itoj8, *6i) rlating in a bathtub. If the iron is removed from the wood, what happens to the w o r,)i*vv8tijljc46rater level in the tub?

  A piece of wood is floating in a bathtub. A secozw/zt*j4))p oh z2plznd 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 water levew 4zz*p)lp jz)2h/ztol in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is larger than 1t.; et- x:;++neen 1pn spsydrm t1mqk;2q ppat point A. Where is the speed of the wan:metq;ptpxs e++r-dpp .s1en 2m1q; ; tn1 ykter greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If th*gl7s++oxkjjx*b-a dk2 as3y e pipe widens to twice its original radius, what is the flow speed in the wider sb sga+j+ao xkj7y2k-sd3lx ** ection?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If ;t6xsthkki;3 2: nqcj the pipe narrows to half its original radius, what is the flow speed in the narrower6s ;k xkjt;qc2h: nt3i section?

State Bernoulli's principlpsp1cne v81b z70ba8qe.

  Which one of the following is associated with the law of cons4p7:ntje1 xq gervation of energy in fluxe1:gnqpt74 jids?

  As the speed of a moving fluiqq9rwk llnq ( 0tv8m)2d increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at poini5t,phe7ad h p7,bq1 viu8u:b t B is larger than at point A. Where is the water pressure gre,,75 1pti8apubie ubqh7hvd : atest?

  When you blow some air above a pap/z a -xzkf;w)gf k-.wder strip, the paper rises. This is because

  A sky diver falls through the air at terminal qmgp.cm4-gelm.thur2 c(j+4xc em -e ;e. 5 obvelocity. The force of air resistance on xm .l .+ t2jgqp(eegm 4rco5 --ce4hmmb.uc;e him is

  Two Styrofoam balls, of radii R and fj)omu 9qu894dnzd3+ihy 6rx2R, are released simultaneously from a tall tower. Which will reach the ground fi4f+d6ou j9x)m uy983rq znhidrst?

  When a small spherical rock of radius r fbj2sje p3ga 3 ; gtj(jny,dl97alls through water, it experiences a drag f pjlgj s;(g3t7,a ej2n9j3db yorce $F=arv$, 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 pipem.c/ ky gr*t0x r9 /qergad6n6? That is, if you made a 10% change in each of the quantities below, which would cause t0 9 rg6dgky6rcm. /aen/xq*rthe greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipezqrxx0j.-t hay35ocu 5co-ehx(p:b , B has twice the diameter of pipe A. Water undergoes viscous flow in both pxuc- thc po53z0 .a-xr exoqh5 b,(y:jipes, 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 twice as long as pipk,xak+ybh(w/ n.bu4; oou ae4 e A. Water undergoes viscous flow in both pipes, subject to thha obnb4ux; .a,wky4+ok eu/(e 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 "greasy" tastae38:mpsau y oi/ 2g7sw))l.hql.dz g e seems to be assocyw ze3p8 smg:silh. )da7l)q/ .a g2ouiated 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 lzs m -h6zb9-gx+e et(water, the water rises to a height h. If the diameter were half as great, how high would ge+zb-s6 z9(etx lh -mthe water rise?

  Certain insects, such as the water bug, are sufficiently lightweigh-unmzkni)x6(o5 er e 7t that they can run on top of water without breakin 67)erikzu-5xe n(o nmg 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 suyv ;+a a*3nvw- knqx qi,3ggu-zt 3og2fficiently 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 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, bvk*3,u3 w;o2yav-+gn qz xtq-ig 3nga ug 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 cmv )nmsl; *.9m i*ohbwp has a mass of 30.0 g. What issmp* 9 wnv;oh.b*)mil its density?

  A liquid has a specific grav/8ity, 9 lfbpvity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30ojx.w.srq(vw2 sj58 f .0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizxw 2 f.8jqsj 5vw.o(rsontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe hac0-d fcr1y 5,:z7woosmzd-2tl-q zais area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a 0dt w k0:l*-b9migls8xft/oodepth of 120.0 m in the o9o/00 8 s:mlo-btlx*i kdt wfgcean?

  A circular window of 30 cm diameter in a submarine can withstand a maxi*tl 3zv.n cs0 su1dfg;mum force.z lt*3 s;v0n1fcudsg of $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge presp6dwruwt;d q6iry)3 9jw5:gmsure if the absolute pressure is 300 kPa?

  What is the gauge pressure5w 5kdh zlam,, at a location 15.0 m below the surface of sea? (The dens,5almk h5,zdwity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a loct(:b w+gaeqk0ation 15.0 m below the surface of sea? (The de wgat(:q +ke0bnsity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydrans770l e)fy1g a/hmff ulic machine. The small pistomgfayf7 f ls0/ne) 71hn 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 7ibv5 7q,u/d w vehtdntp c()5qq4d4e 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 ed77t5qub/( 54 ehdt d4v,wpv)qqcinthe large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic 92ej3(ykjv -syic- sfbe tm *0ou3p0zpiston. What force needs tob(im2 3c3p-e0 -f zyvu 9kjos0s tjy*e be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diamenqhe0xhz 00l:ter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises aehzh :0l00xnq 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 wox6r3 k ;vm+trs2.w5io 6qwck ater. What is the buoyant force of th3t+ kxkwiorq v;. o25cm66wrse water?

  An object has a volume of 9:(xh f2 xji6 tpv:c z.cz8jcg$4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supp.64 fyod8yw koku*b)3mii fb7orted by a string while submerged in water. What is the tk6 b8.oifmu bywi*yk4 )7d3foension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold is h,)d1p qrs(-cmmz7 vp$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (densi/ detw xby ;p:t)obk;1ty = $7.8 \times 10^3 \; kg/m^{3}$) 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 it5wwah4r0 q etk8kr-j6yp / p+p is in air and 6.86 N when it is immersed in water. Wh 6w -/0ppakyr+8qj5et pkr4w hat is the specific gravity of the object?

  A container of water is placed ona*1/ egr 0xuh kt)/t bhv0a4am a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the wate0a tux *mh/0/ka )htr1bg4aver, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1.0 kghsvqdv k b/77fa 17s3;,qojz f 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 12mgds z 6aky:k *cs df6u-,4pkm47r4 xj cm and diameter 2.0 cm will just barely float in water. Wrdj4kk sgk67,4 mc *sm6pxaf4zdu- :yhat is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, ilwf (1y/uj :pand 0.50 m high. How many kilograms of mass can be loaded onto w(juily/pf:1the 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 bene sqf9sc mc-1/bath the surface of the water. The weight of the displaced water is 2000 N. What is q/ 1ccs-fbms9 the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the su1 2iiv25gc cpmrface. What is the micg51v p22ic object's density?

  A 200-N object floats with three-fourths of its volume beneath the surface *ph)(xl ;a-( bnkiksk-(goi x of the water. What is the buoyant force on -i ih);sn x(ba p-k(xklg(o k*the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is th ,+ll mpma)u(t3y3k qye minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specifictlq la3y),+(pummy 3k gravity of ice is 0.98.

  Liquid flows through a pipe of diame.v uz2hkjhn i umkk22gq1*gy.h r;8(eter 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. Twd; c/f z+mco-here is a 2.0 cm diameter restriction in the line. What is the w+;/ dmzcocf -velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure 9s//ym/7 m jn *.cetdboqw24pgixws+ 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 tatr6 sb /6vr4nrke for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above thvnr s6rrb /6t4e pump?

  A hole of radius 1.0 mm occurs in the bottomjsz:b:x6t ()a1 kdlvw of a water storage tank that holds water at a depb:)6a jlkxv w1ztds (:th of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectigqbc c(79 s4 wt;oe1fo77uhskonal 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. H nvstfaw4a d1md4z/qk)5 -w5yow 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, aw dn/vyat5df smwa1q- 4 5k4z)nd 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 hgob h 6*e+p3c6zwfq *the radius by 10%. By how much would the press*c* h hzo66q3efpwgb+ure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of waterpx9sv, p3 b)bc. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it vcb3p bsx9) p,rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water riz/xs4v*f,v +dxryv ,sse in a capillary tube of diam/ d vvxr*, xyszfv4,+seter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rm ly vx4:hej+hw+/q)jise in a glass capillary tube withh4y)qjx w++ve/ ljh:m a diameter of
0.50 mm?

  A narrow tube is placed vertic3nu8 jsz2z uy5ally in a 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 height of t3junyu58zs2 zhe liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m wimt lb-(o yyz;:)o 3xczth a soap film formed within its confined area. Ibox z (cylm:y) -to;3zf 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 rectangulawh*anmp a: y0:r frame 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 wat*yp0maan:wh :er 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?