The three common phases of matp2zofn*xl9 zr1q ,vm1n d ,6aqter are

  Density is

  Substance A has a densityqya)/;fr/tb u 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 o 2 .nodrgr63wrs* hur*(ka*n tf pressure?

  Consider three drinking glasses. All three have the same area base, a)ps k1mb dg jbn9j 4zwh8:,la.nd all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wider at the top tha1ajb84zp:.bj9wk,d)gsm n hln 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 calq4iw1x9dvu)8tghh r:lo6- kqled?

  When atmospheric pre;+g(tttlbs6 ossure changes, what happens to the absolute pressure at the bottom of a pool?(o;6tgltt+b s

  You are originally 1.0 m beneath tunbsou 1/ mp8-gk2aoga4nvt6s5 0cb :he surface of a pool. If you dive to 2.0 m beneanogu/kcsmu8b:1n 5 bsa6v-0apo4g2tth the surface, what happens to the absolute pressure on you?

State Pascal's princip4 3gfdon7c r-qle.

State Archimedes' princ (eitn ny57q3mn9vx-giple.

  $50 \; cm^{3}$ 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 in 9..otfa,so dtto water of constant density, what happens to the buood9fs,t at. .oyant force on it?

  Salt water has greater density than fresh water. A boat floannyb 0. :,puunts in both fresh water and in salt water. Where is the buoyant force greater on yn u:nunpb.,0the boat?

  Salt water is more dense than freshn;5p.tt+bj u atd7 sy,rx u;6j water. A ship floats in both fresh water and salt water. Compared to the fresh tyr atj7p+uus;.6 x t,jd;5bnwater, the volume of water displaced in the salt water is

  A steel ball sinks in water but flouqxdazs a+gak)/ i5) qg27d v8ats in a pool of mercury. Where is the buoyant force od7/a+q g k2 uaz8agv5 is)dx)qn the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake)5)o8ea8ntv vmnl3 hs, right next to a 10-kg piece of lead. Which has the greater nolv 8 ht3me))na58vsbuoyant force on it?

  A piece of iron rests on top of a piece of wood floativje-/r6m t syl. uaa73ng in a bathtub. If the iron is removed from the wood, what happens to the waterj7ta /-au .ys6mr lev3 level in the tub?

  A piece of wood is floating in a bh2lf i))5 aav0s r;vjff0z) uuathtub. 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 the water, what happens to the water level in th)fi;ua)lvjafu v5 f0r s h2z)0e tub?

  Water flows through a pipe. The diameter of the pipe at rweywug: 4* b+b45 p+cgx i; 9jeo wydv)yh:u+point B is larger than at point A. Wheredx:ug:gbj4yo 49y+wye c ipr5u+)w w bhv+e ;* is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pip2;iwd/y/t0cr5baapeg c+l a9zr )rbgoc2) s5 e. If the pipe widens to twice its original radius, what is glc 0 o5 act/bz)ga9 eirpbd2/srawr)5 yc+;2the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horiz18a )ll9bdc6prz0 wfsontal pipe. If the pipe narrows to half its original radius, what i86d9 c)frzl0wla1 bs ps the flow speed in the narrower section?

State Bernoulli's prin-:kshmxdp nf- l 8rj1kpx 2(9xciple.

  Which one of the follu*4ld umaxc60d-s g 4hz2q9 kaowing is associated with the law of conservation of energy in fl z4ds26*a4duhgc0u9 klq-amx uids?

  As the speed of a moving fluid increases, the pre;og6q-vh) tg pssure in the fluid

  Water flows through a pipe. The dwf p-zb:)h6c miameter of the pipe at point B is larger than at point A. Where is the water pressu6pb- )z :fwhcmre greatest?

  When you blow some air above a paper strip, the paper rises. This is becausez1:a9(d 09vafwu/u wod lpt4h

  A sky diver falls through the air at terminalln,pegpxi+2j a72vur/hct1+ngbw.u+ 8e8 hw velocity. The force of air resistance on him n1 hu8+tc+.w2bigp7 g, e l2h+/w8n jpexvaruis

  Two Styrofoam balls, of radii R and 25w w dn2o yr9qj/t0gz)R, are released simultaneously from a tall tower. Which will reach the w5tr )n0w2ozjg/q dy9 ground first?

  When a small spherical rock of radiul nqe+yr: tl:f7( p: )nrkrs5xs r falls through water, it experiences a drag p7l+: r5q:xrfk( ) nestynlr :force $F=arv$, 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/9x5os mtb i6d narrow pipe? That is, if you made a 10%xb 6i9 dms5o/t 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 pipqr1 hgqlw2 8*cl ngn09e B has twice the diameter of pipe A. Water undergoeg2qr*nnh 8clq10wl9 gs 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 the same diameter, but pipe B is twice as long aat; q9-ij3j ) a8nazwg ;it5vds pipe A. Water undergoes viscous flow in both pipes, subject to the sd) 8izjtjq ;5aant3g9ia ;w v-ame 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" taste seems togvt iy4tzpu*n++ r oe /rk mj2hua2-7, be associated with oil spreading out all over the surface of thet-hko7ia /+2 rjup2 my*tz+gu4 vne ,r soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diamet:16i u zudj/ndaa .db7h da6l .+n4ueppdj 2*ver d is placed in water, the water rises to a height h. If1:*.jnu j4 v lae+ nab67d.6dhdid2 a zudp/pu the diameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight t e10a;mv/gr- r46 daf;abugoq2xu7 s yhat they can run on top of water without breaking the surface tension. Water bug A has wgamuq46 do7r rx2;f geavy0u/ba s1;- eight 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 lightweightqfvbt9rr: j-*:7t bxc 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 b rfc:t*rbvx79b:-qt j ug 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. w1ij+)0 rdr:bpyz vn / What is its den r/+yw1nb rvd:0zji)psity?

  A liquid has a specific gravity of 0.357. f mxub:8rp6 ydf a:vp g)zfl/,3q+a8z What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is the ma1nn6)x6igite)e iya .ki2(mjv 0gj c5ximum pressure itii6iack5jg)g062 )j tnimexe .1vyn( can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshv)m6rw kzgq ,7k*w) sqoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolr(xyy7xd mxcd 5j7e+ r)ic7y/ ute) must a submarine withstand at a depth of 120.0 m in the ocea/7)dj5yce y(drir 7 mxyxcx 7+n?

  A circular window of 30 cm diameter in a s:tpwg/d 4mmn,yd nh +-ubmarine can withstand a maximum force of4nyg+:p/dm htmn d ,w- $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge presse7d-6 xx:ahflqzfcdpr8 - 3(p ure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0af,rcxb.rh oa38ghn d::7 i :i m below the surface of sea? (The density of seawater is8crh,:g. nia: 3:f 7ahrbxdio $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 153j+poump*jxd 6q6q:0hp 3 hn h.0 m below the surface of sea? (The density of seawater o 6j6 hpqn:+d*j3px0hhmq3 puis $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. in;gxx l0qwx2 64wj-o.oi9xyThe small piston has axyo ;x.9l wiq0jnx2 wog-x6 4irea $2.0 \; cm^{2}$. 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 5.0 cm and yb3*1g**nn otklzq ;f the large piston has a radius of 15 cm. What forn1t; l3k*b nfzy** goqce must 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 diamete4pfego 0, ush+2npim4r hydraulic piston. What force needs to be applied to a 5.0 cm diameter pis02h p 4mo,u+4nfgseipton to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, 4ct j,s w27xjga(ro/1ig7, xhjr 08am efd-cyand its large piston has a di -i7/sxog,rj 8mjw hj(f0xte 2cgda 1ya,r7c4ameter 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 h tav0,gs4s 4+uo+tifair and 30 N in water. What is the buoyant force of the w4, 4 fgvist+s+0ouahtater?

  An object has a volume v73 d l xi:u+lg.y020qjx dfbrof $4.0 \; m^{3}$ 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 submer vnriwf:7mme8dmb*+ ld2w1 3yged in water. What is the tensiwmbm1+8d2vfwry*n m i7l d3e :on in the string? (The specific gravity of iron is 7.86.)

  If the density of gold is sxnu/.ymt a; gj(4puv.h w6; b$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (density = ;h dyc*f-ebxa k)s v7/ge.8fq $7.8 \times 10^3 \; kg/m^{3}$) 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 +gh:2m qtz ra86.86 N when it is immersed in water. What is the specific aq:g2z8rm+ th gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Now pvgto 6bel449pv xr66 a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered int46t94glb vox6rv 6ppe o the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum wia +ba( 7(c2ikm1 bdrd d,pp:ptth a mass of 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 m200e z5f x7n-jig9; pbvtrn cdiameter 2.0 cm will just barely float in water. Whatjp cm79v ern0-i02b;gzxf5 n t is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.5k*9 5vwy fqoo*gkbxr,3z8t , m0 m high. How many kilograms of mass can be loaded onto the box befgkz8krooq tb ,xvw * 35,ym9*fore 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 withyj)ti4k6*ywrx 4ccfv(1/hf r half its volume beneath the surface of the water. The weight of the displaced water is 2000 N. What istwc4 x y fv)6kcf1yjir 4r/(h* the weight of the object?

  A solid object floats in water with thre9 dbu.x/6hrcp e-fourths of its volume beneath the surface. What is the object's den9h /dup x6.rcbsity?

  A 200-N object floats with three-fourths of its volume beneath the sur /tndlm99t 1ivface of the water. What is the1t tnd9vmil9/ buoyant force on the object?

  A polar bear of mass 200 6-uiybd0 ig;l kg stands on 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 16ib uly i-;d0g.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 286ot-tc, 8dxhk zbtydjd09 + d.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe 0q.o 8 c5ai/3mxbmjvhr.:cj k at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this rexmhva 8 jb mcjo03.5q:.ri kc/striction?

  Water flows at 12 m/s in a horizontal piz cxuz9/) j2vhh0fjjh4-sh a9 wsj.:ape 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 driz ltz:rdkh:y1--c g2u +mn/uinking fountain with 300 kPa, if the fountain is 32tu ldm-z1/+hru k:cy-i:zg n0.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tan0 d1g63gl,*i*zuwz,xy arzisk that holds water az 6* rix1l uz w0g*d3zsyg,,ait a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of6u97aokqslk/5az.1d lmh j;j 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. How long would it take to poa4nfi,g20 r nc)(rze gur 4.0 L of oil through ) z2r(ignf4,ac rg n0ea 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 part of the funnel.

  Suppose that the build-up of fatty tissue on the wall oc bm.p3(2cr9urlg8f rf an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to mainta8 rrp3l(rc9. mcu g2fbin a constant blood flow?

  Two narrow tubes are placed in a pan of waterl gj t2r+bw)x. (t+1kwc7px*ud7bsl q. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in *g lj7+(txsd1 tq+2wp .wu r)b7 lcxbktube B?

  The surface tension of water ix-3g;)cceow ys 0.073 N/m. How high will water rise in a capillaryx;g3ocye)c w- tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a gla8)5u tlcefl20)j mcku ss capillary tube with a diametj2 mt)f0)l8ec luuc k5er of
0.50 mm?

  A narrow tube is placed verticaiik xt e414d:jlly 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 the liquid column in the tu4tj1i4:ike xdbe?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a soa3c;v2ret 5vyt p film formed within its confined area. If the surfv2vt3t5c;rey ace 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 rectango3 2,g dxhjf0eecgu- 4ular 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 fhejxo 2e4dg- , ug0c3soap 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 square?