The three common phazm;tw3jz73 tr ses of matter are

  Density is

  Substance A has a density of 4ecqfl.sbmxy i5 0-c3 fgi1j9 $3.0 \; g/cm^{3}$ 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 0ari 6/:ts357uswlrl5cjw+plx2qg0x ,jb o fnot a unit of pressure?

  Consider three drinkin,gja0yw ic ez.*rh 6go v2.3ing glasses. All three have the same area base, and all three are filled to the same depth with water. Glass aey 0vii w,jg3. nc.goz2h6r*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 insky rz5ij4 h71icje46qide and outside a tire called?

  When atmospheric pressure changes, wesqz2dds19 0d-d 17v2j kmnxshat happens to the absolute pressure at the bottom sje2 dndzsdsm0 7q1 92vdkx-1of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you xkpcqp a -.bca y4.l1az,w6zo.g o ;c5dive to 2.0 m beneath the surface, what happens to the absolute pressure on yozc.l.-a5 .ozpa,pqy;1wcx bak64 gc o u?

State Pascal's principl+2d.dkhetqxb1rp2n ;zxx5/ w4gj8 pq e.

State Archimedes' principevwldkx5,ji jwo gnogm-o.73 z1-m /-le.

  $50 \; cm^{3}$ 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 inpvz:y, krq1c3 to water of constant density, what happens to the buoyaypqk: c ,v31zrnt force on it?

  Salt water has greater density than fresh water. A boat floats in bot+ub ;6c7kf ydzjj2 7xwu pr1r6h fresh water and in salt water. Where f7uxrp61;y+ ubw 6kd2jzcr7j is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship5jn e )mhe.1 pzj arr1(ftdh6* floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the ne.e*1jr5r(f6m z h tphd)j1asalt water is

  A steel ball sinks in water but floats in a poolq et zt+eje/ hc0kn.u.7z46la of mercury. Where is the buoyant force on the ball +qzeu 0/6hzetelk7c..tjn a4greater?

  A 10-kg piece of aluminukwe/ zbs(k( ; 1uxll9cm sits at the bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant forcelukbkw/s clz1(9xe (; on it?

  A piece of iron rests on top of a piece ofber+b.g v 4i(z wood floating in a bathtub. If the iron is removed from the wood, what happens to the water level invz( ige.+b br4 the tub?

  A piece of wood is floating in a bathtub. A second pie,47cmo3pmyt )p,z m fpce of wood sits on top of the first piece, and does not touch the water. If the top piece is taken off and plac7 p,4) yo, pmmfmt3zpced 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 larger than svd3s 2 +vtsvgv:/k 6e5j-vq qat point A. Where is the speed of t sv jde qv6g2v-:+ vsk/5vsqt3he water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If t x+-afh(oaj9zw ,jx vr)uizf1/w27s ahe pipe widens to twice itsja-i+,z u (rxf )zso/h1a7awjvxf2 w9 original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontaljp qyb.4xc wkm,bb)2; pipe. If the pipe narrows to half its original radius,qwjb4 b)kbpyc,2 m.;x what is the flow speed in the narrower section?

State Bernoulli's pri, rut9+vlxa9d nciple.

  Which one of the following is associated with the law of conservation of enerx4e 573m1 i akceph/+xx*zpr ogy in flu *e7 cix5e1x+h4zppoak/3mr xids?

  As the speed of a moving fluij5m o 9v(4cf1l bpaq/vd increases, the pressure in the fluid

  Water flows through a pipe. The ufae87 *qk/w 6ejc r-dgu) -mydiameter of the pipe at point B is larger than at point A. Where is the water pr/dcjuqua 7wf-eg)e-*rk6my 8 essure greatest?

  When you blow some air above a paper strip, the paper ris4k3gs qkrr9u+es. This is because

  A sky diver falls through the air ss5k1: ubsf2k at terminal velocity. The force of air resistance ous5 1bfkkss:2n him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously fromf/b8d ,vl rol. a tall tl/dbvl .f, 8orower. Which will reach the ground first?

  When a small spheric w/w ,b*h 65u:86pbhbraf: ukucl+ybk al rock of radius r falls through water, it experiences a drag foulb*,5ykb a whwrfp:uhu cb:/k8+ 66brce $F=arv$, 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 e7eer,d 6k-zl fluid through a narrow pipe? That is, if you made 6-e7ezrlkde, a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the pssw9b, *6g6 v apda,ieo3*u isame length, but pipe B has twice the diameter of pipe A. Water undergoesde9*i b,s 66soi w3 v*gaaup,p viscous flow in both pipes, 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 bjem)q* 9/ 3;mylxmyr 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 mqy m9l3 y)mb;/x jr*eflow rate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes gr21bep8 ld4f2ge c5n4 y*v e3 3zwbdxxreasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", xbv2l5x3c d g dfer43 8e2w*bz1ne py4this is readily explained in terms of

  When a tube of diameter d is d f-ei-myl48pplaced in water, the water rises to a height h. If the diameter were halfm8dl fy-e-p i4 as great, how high would the water rise?

  Certain insects, such as the water buw2y kki r, g0u 2)-ti(qcl9baj:q-h qwg, 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 d-:y2qqkqrgw w0kc( j bit,a u hi2)l-9imensions. 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 sufficxzoup ) .pozvqjw8.1( iently 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 ip.z. vox)jw1(z q pou8s 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 hasw2 djr gl):pj; a mass of 30.0 g. What is its densij l2pj )gr;wd:ty?

  A liquid has a specific gravity ii47vyx 6v .c4 w7dxmxof 0.357. What is its density?

  A brick weighs 50.0 N, x68m*kxde(b zdg( )9,s:9kfx fpyg oiand measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal surg *f(xkkgp bmxidx 8 (seod,yf9z6 9:)face?

  A person weighing 900 N is standing on snowshoes. Each snowshoe4q+ cwf7 cz xiqzp,(6i has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine wi 3;8:krk exaogthstand at a depth of 120.0 m in the oce; rk:oxe83gakan?

  A circular window of 30 cm diameter i7 ua dhi,0y/dg xmiro8p-.ev4n a submarine can withstand a maximum force ipduh0a/ e dmr7o8.yx-i 4vg,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 pressure 0 i5ngx0pqez:if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m belown d55ld+p+vgswx8 :*ru ahb q8 the surface of sea? (The density of seawater 8nr+ux8 ld+apv5:5 h*sbwqg d is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 4)rcouk)n: :4wbrmz w 15.0 m below the surface of sea? (Thew):w )nburkm 4z:or c4 density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small pistondauktmn7pg(9 )0v *km of a hydraulic machine. The small piston has kdn0m*)k ( 9pvmtau 7garea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, they)o p l0nz0 jjl1eh2kr d13;ce small 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; 023)0lpe rody1nl1j cehzkj piston in order to lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle i d7:uw 6jnh p/sten1;o(vfqf/s to be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5jn//sp7qftuh n( ew1 o: fdv6;.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large p 0mh pv*d qcqpr46k14mmu*at 5iston has a diameter of 40 cm. The lift raises a load o r*c k 6*1utq445 mqp0mdhvmpaf 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. W.q;*(fwd 7yngt95n gxf(wctrhat is the buoyant force 9yqr(.;* nc75gxw d wf(nttfg of the water?

  An object has a volume xgb4h5z)qii ;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 submerged s-/izebn bx )3-k4 ov6yich4rin water. What is the tension in the st h/3xkvzs4ey 4)noib6-r -bc iring? (The specific gravity of iron is 7.86.)

  If the density of go fmm tb/d9ohatd7 )9r;ld 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 (densityesh b5cx 4y +ea +kagk:cfz,/+me 2xj1 = $7.8 \times 10^3 \; kg/m^{3}$) 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 i,wpj.m8 ve56 j-m/jw6q2k lsszub*fair and 6.86 N when it is immersed in water. wm j*6q2fbmse jwzi 6/u. jv sp,k-l85What is the specific gravity of the object?

  A container of water is placed x*lb 65ymhs. hr),ud5sucb (tu48qx jon a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is hrb556xbym t)u,d(.usu qjc4lsh x*8suspended 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 and deny-zdlpt,j,w/ :c(n rksity 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 w5kxf9qq o f zha/srq)xa2y(gkq/,9 bp(/t op7ill just barely float in watpgo q /)fpoazs /akrbfxh/,qq9(9tyk72(x q5 er. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wi;17hrstb q4w6ch)niade, and 0.50 m high. How many kilograms of mass can be loaded onto the bhhb7qi6;n1c r4t) wsaox 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 w +ggv) n5+5eps l9bjli nsy.g6eight of the displaced water is 2000 N. Whatl5 g9.5b 6)pyngei +svgn jsl+ is the weight of the object?

  A solid object floats in water with three-fourtq,jzddro2 i;r p bb (a;z(u):lhs of its volume beneath the surface. What is the object's densiz):;bu, p;2o (ija(ldrbqzrdty?

  A 200-N object floats with three-flir 2 eh )eb;jmw08c)fourths of its volume beneath the surface of the wfbih)8e;2lm 0ercw j)ater. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is0lqg+7jysczmj9 e w*pk:2f0g the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The spec gl*w7jk0 9 :yjgmesqc+2pf 0zific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 a*p f 6l 85jw3zabf(j5nrjn kj.6v0vjcm 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 cm diamem/1qoc ugz(m yy7*m3m ter restriction in the line. What is them y m7q*zo(c1g/mm3yu velocity in this restriction?

  Water flows at 12 m/s in a horizontal pimijbpf2 5g23 bpe 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 t5enosuh(a4)2sqg pru2o c 21v o supply a drinking fountain with 300(gups)co ruq224sa5hon2v 1 e kPa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom woi9y9iu *m +vdzn zqa- /y2o-of a water storage tank that holds water at a depth of 15 m. At what rate will water flow ou i-zin9y d* /9ovyuzwaq 2m+o-t of the hole?

  Water flows through a horizontal pipe of cros)ysk/ka uy2j:s-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. How long would it take to pour 4.0p,4ot nirtem c,0gg5 y2)5x jy 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 neglect any drag effects due to the upper t 2jncp,ry)y ox,eig m t5g504part of the funnel.

  Suppose that the build-up of fatty tissue on the ( 6n.wir 3dk u1bvd;nt2lh:ru9c olh2wall of an artery decreased the radius by 10%. By how much would the pressure provided c2d 2. (rvndlhb;l9i3ut 6ohnwu1r:k by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of rg)biewcp6v;b 84y j49ypon 3water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in tube4rcbey)v;wpg8yop4ni 6b39j B?

  The surface tension of water is 0.073 N/m. How /07bkz)9tf/ x (r gggtfu raj5high will water rise in a capillary tube of diameter a(g)b5 rg t/jr9zktfu0f x7 /g1.2 mm?

  232

  To what height would water at 0 degree Celsius ris(ao nwk0xcd9xje(g2d+ a s 5n:e in a glass capillary tube with a diamjwo dg0sa9:ncx k+( a2d x(e5neter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rise loor// n/sg2ps 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 oris/rg /nlp/oo2ginal value by the addition of some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a 7,u0quny ewg2rgzml( 0axr+a1n 4 f 7bsoap film formed within its confined area. If the surface tension of soapy water is 0.02azlmu4 n+0n wybg7f r,(r 102g 7xquae60 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and u9sozb1dm*:cb ii)bzohu1 0)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 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 sq*b mos ozb9hz)):cdib 10u1 uiuare?