The three common phases of magd(n 1q6k 3 f +b5b2fivpzwc6itter are

  Density is

  Substance A has a deniquk7 tq5 w1t0 ukcz+(sity 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 pressur.lu 4w 6g;crhbe?

  Consider three drinkinoa (:.lyl dau; zih-uji3;ttcii a 1(2g glasses. All three have the same area base, and all three are filled to the same depth with water. Glass A ztt3d1a;uli2icalj ii.oya(; :-(huis 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 differenc. q6x2lw .-v+n wynwose between the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to th7p2fheiu: cu8 k)bf8s e absolute pressure at the bottom of k8bp82i :cushue7f f) a pool?

  You are originally 1.0 m beneath the surface otl,6w*vmtdzv* - ftmn3ix0f-b*sc z2 f a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute xmm, b*z0 *t* -ifwdlztv6vn32tfs -cpressure on you?

State Pascal's principz ;2; fphxs-afle.

State Archimedes' principley5r9bzmu,v ./ vcdwv.spz 4k*.

  $50 \; cm^{3}$ 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 happab5 (vk2zv ,d0qwx ykf0. aqe*ens to 2kaaz,q vdfvqb5 k0w* .x0ye( the buoyant force on it?

  Salt water has greater density than fresh water. 0 k.nrwh i45gqA boat floats in both fresh water and in salt water. Where is the buoyant force greater o i50 wh.rng4qkn the boat?

  Salt water is more densv24 zue)ae 5s+hffin+5k(p yge than fresh water. A ship floats in both fresh water and salt water. Comfps4+yke+5 )z (ifa2u5nv eh gpared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where pv3 hnwh7mrtrk;e2bt /gimu) j7 am:z 5y*3d8is the buoyant forc rv8a t:z7 krh3i*3y /mh57;tpgbnw edm2jm)ue on the ball greater?

  A 10-kg piece of aluminum sits an546 0gmoj ;qynw/bzut the bottom of a lake, right next to a 10-kg piece of lead. yjq bu4ngm/5;z6n0w oWhich has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood flozl eze( ;x3k,zating in a bathtub. If the iron is removed from the wood, what happenx lzkee(z z;3,s to the water level in the tub?

  A piece of wood is floating in a bahi i0ocal j4 kx078.methtub. 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 thix0 khm4 ic7a. joe80le water, what happens to the water level in the tub?

  Water flows through a pipe. The diameterr sw(,j 1ffby* of the pipe at point B is larger than at point A. Where is the speed ofb,(ys1 fw*r fj the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pwd0i f58 byli;ipe widens to twice its original radius, what is the flow speed in the wider sectioni8;5ib yldw0f?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe nr7 .dlb0ja 65bf9dsdo6wy * ajarrows to half its original radius, what is the flow speed in the narrower sectdab.0jo r6 d*y 75dsl jwba6f9ion?

State Bernoulli's principu 7i8zxi/-q ncle.

  Which one of the following is associated with the law of u(f3qqi */75(yaug nhl, hmtsf gzn)( conservation of energy in fluidf(ts7g i5f) u(m,qhu3l *( nahnqyg/zs?

  As the speed of a moving fluid increases, the pressure in the 5 r 3cdio+9*tuwya-jyfluid

  Water flows through a pipe. The diameter of the p5u6f 4/d rd8c)psbmk mipe at point B is larger than at point A. Where is the water pressure greates ds /umk4)p6c bdf5r8mt?

  When you blow some air above a paper strip, the paper rises. This is becacmnw n1r n3n,la /2anvvhk :a( 8)ki9duse

  A sky diver falls through the air at terminal velocity.)f0ks*wygy +oh yp5 j- The force of air resistance j*h wo+k5y y-)0spyf gon him is

  Two Styrofoam balls, of radii R and 2R, are 95,9c qhstixv released simultaneously from a tall tower. Which will reac9cq5hivs,t 9 xh the ground first?

  When a small spherical rock: q1fotl*;s icvxb0c+ of radius r falls through water, it experiences a drag force :o +b*q s ctvf;cix01l$F=arv$, 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 thtndvsi41*us9 eil. b 8rough a narrow pipe? That is, svulis *ib1d 4 .ne9t8if you made a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but i te6 gj;;t,wlpipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flolg, wtejti ;6;w 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 longkcypb 9qcx7m1x 3 d cx56)-vqg as pipe A.xc1b m 7pxx6cv y dc9g5-3q)qk 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 rate in pipe A?

  When soup gets cold, it often tastes greasm7ww4ecl m d 0cvnpv0u1(v/(sy. This "greasy" taste seems to be associated wi lm0v4/ w0wn7c1dvv( meucs(pth 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 water, jm8r y67hi, .i04wgwagu1h wathe water rises to a height h. If a4 6w0m1ha ugww8hyii.g,j7 r the diameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently l03-(wwz mc/8 my yxyjqightweight 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 dimensions. That is, bug-jmwzqcyy 8x/03 mw y( B is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, aq+79tnn51d gcx e-l7mh0r ev )bnf( wbre sufficiently lightweight that they can run on top of water without breaking the surface tension. This is possible because the water, due to surfa-mbwncn0 (te9f7dhg5) +x vr lqen1b7ce 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 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 mass of 30.0 g zbe44m opyz87. What o4 7m zz8yb4epis its density?

  A liquid has a specific gravity of 0.35;mlm2dtp03q3w 2v9, ckkxs le 7. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm ,f 0, 5onzman6zios: px 4.00 cm. What is the maximum pressure it can exert on a horizontal surfn az0,pi:5zo6nmo ,f sace?

  A person weighing 900 N is standing 1xz(yki wv.f.-ec8gxa.vv1 von snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) muir(1 sp9 )q9fpa lunaaph(3eq w)lb-- st a submarine withstand at a depth of 120.0 m in the ocea(p l afiq-9ah)9 ar q1(ep3w- pslun)bn?

  A circular window of 30 cm diameter in a submarine can withstand a m1)o j3h/8ie1gjozad n aximum force1 /anj83oh) d1e ijgoz 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 if the absolute pressure zh4lh1raxj7 9x8x r :yijf-d+is 300 kPa?

  What is the gauge pressure at a lo0(f+h/ulsj .sh:ip: sau1v u rcation 15.0 m below the surface of sea? (The dp01 ju:huif ush(vl/ as.:rs+ensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure aop - ru408 z./mnlpv) ifx*yhmt a location 15.0 m below the surface of sea? (The densitmyzvh4rpf- )8omiu n*xl /0p. y of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on h*ufpl j;dp2 psz53-fthe small piston of a hydraulic machine. The small piston has -d53;hfj*u fpzl p2s parea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lifafrtufz 1ofkol065 - )t, the small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be app 0)f61 ufzk5o- floartlied 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 ,zlg ljjgw 9(;lifted by a 25 cm diameter hydraulic piston. What force need9j ;(lzjg,wgl s to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a 4bm t b4bh/bxgnr 45w8;eik 9jdiameter of 8.0 cm, and its large pisb4h 9/btnm igj45be xk b8;r4wton has 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 in water. What ig 8ev; pxwrb7fw2 1m :3xtqol(s the buoyant forc (le: 71xpt;xmwbwgq2o 8r3vfe of the water?

  An object has a volume o+j , 5w/zegvkof $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supported by a struz os(ee)n.cpao;3x.xk*0 gw(o jvk +ing while submerged in water. What is g (.+;uxsc je0ka n.xkzo(wo3pve *)othe tension in the string? (The specific gravity of iron is 7.86.)

  If the density of goblpo+4uo 6jme -/hls4ld 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 submarine2un69 nogb -ia (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 7.8z6)tvur(j 0 ge4 N when it is in air and 6.86 N when it is immersed in water. What is ru)tg vz je6(0the specific gravity of the object?

  A container of water is placed on a scale, andi90 moi eb6wo5 the scale reads 120 g. Now a 20-g pimo5b i0w69oe iece of copper (specific 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(udbz2c*bh b+-zlzo9 1.0 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 diameter 2.0 cm will just barely k5o;z4u)aj qy float in o5 auj4; y)zqkwater. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, a1ip w5c2 cxf6mnd 0.50 m high. How many kilograms of mass cxfm2ic p 156cwan 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 the6) rahi7 v2p7og;pcp jg+e dt, surface of the water. The weighg;2re pjt+h i6g7vc po)7 apd,t 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 beneath the sbz8 y1qzp 30ayf1s;puurface. What is the objepzsq13b p y 0a;z8yu1fct's density?

  A 200-N object floats with three-fourths of its volume beneath the surface ogju l6*v(v;m8 +nqbmff the water. What nuglbv(mjv ;6 *f 8m+qis the buoyant force on the object?

  A polar bear of mass 200 kg stands on 7h zo()5j drnm(jsmxrg7wm +)an ice floe 100 cm thick. What is the minimum area of the floe that will just support r ))75mmd wg(xzonj7mshj+r(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 ratkl9xg .m hqdjrt 8(36be.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. The+ c3g;)1chx3z( nl wikx xxy+gre is a 2.0 cm diameter restriccx (yn3zl1;wx xc+ gih3+)gxktion in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a 6 oj,gz; si3bn5ne/fyw wyz7 -x,l) lqpressure 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 3u utoit36e1u500 kPa, if the fountain is 30.0 m abotuoe iu1tu3 56ve the pump?

  A hole of radius 1.0 mm oc xwx:x h9e:a.dcurs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate wilw9: x exhx:d.al water flow out of the hole?

  Water flows through a horizontal k n-3li0/d mak5w+ctp 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 6po w;oucb 8;ph(r u1cof 0.20 Pa-s. How long would it take to pour 4.0 L of oil through a funnel corp h6wu;8( cu;1p obwith 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 part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an artery decreapf/p1zxq r( ch,3r y:osed the radius by 10%. By how much would thpofz3qh /r1(yr: pxc,e pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of wateb.7ha( ed fpdr9(8kex )bh,h er. Tube A has twice the diameter of tube B. If water rises 24p.,eh() efx9r7(dk8hbad hb e cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.07fymnu46i qta vpqz0;ni864, w 3 N/m. How high will water rise in a capillary tube of diameter 486wf 0uniqayqpv m ,n6;i tz41.2 mm?

  232

  To what height would water at 0 degree Cel3z t1xxs+q,o /gl qc,osius rise in a glass capillary tube with a dia c3s+lzgxq,qo1/ ,otxmeter of
0.50 mm?

  A narrow tube is placed vertically in a 5/c0 rq *g7j (lgietgrpan 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 the liquid coc5rt e(j*7 rig gg/ql0lumn in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a soap fmf;6,tkud s3o+tf s6uilm 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 s; f3f6mkotu,dt su6s+ ide?

  An adjustable rectangular frame has length 12j.t/a 9pop cov 9qh;.x0gf)qd 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 vf)q/oj 99g;ppdh t cq0oa..x 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?