The three common phases of matkkjm+g/r9o- z / ykx,ez)ft( xter are

  Density is

  Substance A has a de,kiphkst4 16z8u.et unsity 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 pressurei2u3z.yedi o 9.pow9w ?

  Consider three drinking glasses. Aly-n goku7k62izof2b1qc)u e 5l three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B 6o u5)eg2fyo zkck1 uq-nib27is 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 pressur0afqb djb)1 o1;i. gvles inside and outside a tire called?

  When atmospheric pressure changes, what h2;a tk o+swk(kappens to the absolute pressure at the bottom of a k2;k (saowkt+ pool?

  You are originally 1.0 my88* 50 vqsz2pxtdp enw 4e8cm beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the wd*zs 28p5cqn4 80mepyx8t evabsolute pressure on you?

State Pascal's principl0odl:.p i t6orc+*dtd e.

State Archimedes' princm1sj1iw57d jn iple.

  $50 \; cm^{3}$ 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 densuesr2vg -en/hbro 662ity, what happens to the buoyant fov-6ugr2ehbsrn6 /o e2 rce on it?

  Salt water has greater density than fresh water. A boat floats in p1x(1ao-s,oe rxyhdlp / wt,h03 oq 7 mllsf07both fresh water and in salt wa0 w(l7hq fsmr0l-xp ,,oxtph711od la3/syeoter. Where is the buoyant force greater on the boat?

  Salt water is more dense than fdk4wm yyk87p 0resh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in thy8 md7p0yk 4wke salt water is

  A steel ball sinks in water but flukae- hkm3ahye8w6 ; 1oats in a pool of mercury. Where is the buoyantah w;8hua -6e k3keym1 force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right ne7*)4 8mbafq:t d . hqddesuik+xt to a 10-kg piece of lead. Which hasbai + 4).dhu87tf:q mk sdd*eq the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floatj jkmk,;dm7rg 9yh57king in a bathtub. If the iron is removed from tjr 5k,j gy797;mhkmkdhe wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A sec*p33cwg/ pal3 k4-l1ny j4tk tn5gsgn ond piece of wood sits on top of t4tj k/tsln1p53c4 a-k3*nwgy p3nlg ghe 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 the tub?

  Water flows through a pipe. The diameter of the pk:l2bssigy80 d**trv; eu vx+ipe at point B is larger than at point A. Where is the speesyb8 ls +* u2:0*tdrkev;xv gid of the water greater?

  An ideal fluid flows at 18sjo1 0m2bi x f4p1ksj2 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed i1jjmxf 02i4bosk 81spn the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows tk1:izah9e)5wnn (e0 jvgfm-oo half its original radius, w9iw1enho5:namkgj zf-0 v (e )hat is the flow speed in the narrower section?

State Bernoulli's princi3etr+dy/gz1,ir :umb ple.

  Which one of the following is associated with the law of conservation7b3qsoss/oe qyq1pq .rj-8 0h of energy in 0 3hob/osqqsqq1p-ry8 s7 .jefluids?

  As the speed of a moving fluid increases, the pressure in the)idd)(2ppn/e pir/kques s 24 fluid

  Water flows through a pipe. The diame8oz )qyk0 9x-(z9a jrfy:zukuter of the pipe at point B is larger than at point A. Where is the water pressure greatz )jku8kfoyx( z9: 9qu-zr a0yest?

  When you blow some air above a paper strip, the paper rises. Th1rl exv+v4k*x is is because

  A sky diver falls through the air at terminal velocity. The force of air8dx- qe24 k5mlv /fdbt resistan qxmdf4- ed2/lbvkt58ce on him is

  Two Styrofoam balls, of radii R and 2R, are released s 6y7mfxhp 8b2rimultaneously from a tall tower. Which will reach the ground fyf8mx2rh7 p6birst?

  When a small spherical rock of l vd7vml gxdu. :bhb6o+d; i98 :proldc.51beradius r falls through water, it experiences a drag fleo18;l .vbhpxroc 9v6d.u b dmdg7 5id l:b:+orce $F=arv$, 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 thrnmjxq ws6t ju1720f, fough a narrow pipe? That is,xum0ts jjq7,1 w2 ff6n if 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 pipe B has twez /c5r-4v htxice the diameter of pipe A. Water undergoes viscous flow htz v4/e rx-5cin 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 sg k bxo,wx+25oame 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 flow rate in pipe B i,g2 xoxkw+ 5obs Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes greasyihkp )sny5x3z2; v.b j. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. Toi.yp3jz h) s x;b2n5kv 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. I wer wz9tl.h 2:i)7mldf the diameter were half as gr7i wr l92l.m:ehd)zwt eat, how high would the water rise?

  Certain insects, such as the water bug, are sufficier uzf0:-w2dsb-up p6 intly 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 dimensions. Thar- pb- uzs2w:p0i6ud ft 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 sufficientl.-,ucxyk emoo+ lmz0p on 5+p, ukrz4.y lightweight that they can run on top4orz-5kyxz+u+,ol0u. k pp,eomcn m. 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, 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 2xy3e- 8b;5cft :n ufft.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is 5:-b uex 8;t3ffnftycits density?

  A liquid has a specific grb zym5;4extalw :3(ra q55)zvw be.g lavity 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. 7i wdyj:qa*8otl/f b ;jt.d-2l qpvy0 What is the maximum pressure it can exert on a hori87f.jao;0 bydyt qpi2qlv-*ld/: twjzontal surface?

  A person weighing 900 N is standwvean(,o.72 fj8m qqwing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 120.0 md.hfi(*jk r. m in* d.i(jk .hrmf the ocean?

  A circular window of 30 cm diameter in a submarine cana 8tzr,7nd : ucl*mst+ withstand a maximum force rc+,a8dlu7z:tms n*t 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 pre/f6rznc9 tx6 j ktz,l3ssure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface )bii9 tzwuc)vqj ,r;* of sea? (The density of seawatiq*,vu ; wtb)irjcz9)er is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a loca5d6o.ut4ukx z/xxc6c tion 15.0 m below the surface of sea? (The dzkcc4x65o/u t6 dxu.x ensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. Theag*ntrkc )a h4s 076vb small pistong0 rtnc7)*ab6kahv s 4 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 piston has a radius of 5.0 cm and thjr)5c wxxf t6lg f (l(+b(s)d.pv9oqp e large piston has a rfdrlwx(bt)fgp js 56( c)9pol( +xq. vadius of 15 cm. What force 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 diameter hydraulic piston. What wz+u e:7)g rxa3b;i ;txt1huf force neewx u 7ix:+u;g; )ezrhtt31fb ads to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large bnciwj9n ho.04cmy clk)/jq / jpj;94 piston/n904/ji jw4; b)mo9. l qky ccjhjpnc 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 airnqpp 3tbzp +;8 and 30 N in water. What is the buoyant force of t+q 8zp;3nbtpphe water?

  An object has a volu8e/u6k b06bcwj6pnrb65/g cttrtp 6pme 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 sutqmthtr 7bq 9,5tj;6z pported by a string while submerged in water. What i;t9qj,tqz t6h7t br5m s the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold isoe 0- yzz(1z4rb, ixzh2-mdqn $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submp tm3 qfr;8tj 1q,zeunk7 ad5/arine (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 6.86 N when it is immersed d34lmkxd ( 3th,qq.p zin water. What is .d4kmdq p lxh,3(qz3t the specific gravity of the object?

  A container of water is placed on a scale, and th5tt1b.n / e+daz b4sone scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the a51 +ztst.bnd b/oe4n water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum withzh; pq :eui3vf (d 6/*d2wyovp (kk,xh 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 diameter 2.0 c xv yd9g.0ssoys9 mdk ksc-16-m will just barely float in water. Whak-smd0oyyv9 s.9dk xg-s1c s 6t is its mass?

  A rectangular box of negligible mass n eeh2) s5ozjgxyto.ev ay5ou0 2-3m9measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass)m2jtze yhgx-v29 5 5son e.eoy0au3o can 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 b0e.oq ij*yvd/48 j gued(awx,tr) buje4 (wu9eneath the surface of the water. The weight of the displaced water is 2eadu(qu0 ye 94j.rijt (o*gwxwvdj , )8b/4 ue000 N. What is the weight of the object?

  A solid object floats in water with 1s f54eerjb tedfd (fr4+9o0lthree-fourths of its volume beneath the surface. What fd edbo(t0f r+1e slr5j9e44f is the object's density?

  A 200-N object floats with three-fourths of its volume beneath the surfac -dudcwkd,2w* e of the water. What is the buoyank d*-dd wwc2,ut force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thvb zxju2x df-w/ a9w11ick. What is the minimum area of the floe that will just support the w1d-f a 29 /z1wbjvuxxbear 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 rav+,auh dtjj.ed;rf ))p 3tj9x5j1j hate.

  Liquid flows through a 4.0 cnod+ c 9r4y3ifm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity oc yfd4r3i+9nin this restriction?

  Water flows at 12 m/s in a hoqb5*p (t*warorizontal 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 30+s1 1ej6rrxrbpo-t 6k0 kPa, if the fountain is 30.0 m above +x-11r6presb rk j6 tothe pump?

  A hole of radius 1.0 mm occurs in the bopd9/h lx-mvpg 3(rh2ubky3 p+e2,z abttom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow out of -ab 9pbe2+pyr h23(lm,/3dv z xphgkuthe hole?

  Water flows through a horizontqy +z 0-mv(5f di b+px9owag+w.d8qsgal 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. How long would it take tos)k xe7v(nmf4qv9shejiu + 5 - pour 4.0 L xs j4vif-5(eume 9 sknq +hv)7of 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 part of the funnel.

  Suppose that the bui( jk,.k y. exqlpiwd2/ld-up of fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?q. xiwl./ ekk ,y2dp(j

  Two narrow tubes are place/epahy8dcia6lue (1 )d in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tub iu(l6/a)che1de8y ape A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will watemfvzg+zs3 d /8r rise in a capillarydzgs8f z/v +m3 tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in 6ri c(;wsgzt 1c)8 ,pu3rd seba glass capillary tube with a dia(; ,13ez cs)wd8 u6cprirsgtbmeter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water ritdw+hg2 9.hhfses 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. Whad2.hhw+fgh t9t happens to the height of the liquid column in the tube?

  Consider a rectangular frame olmi tpc flkk84 /59h(cf length 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0(4 tmlf/ k9 5ihp8klcc.0260 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 wid b0:de24hh *ft +oo-x2dnx /zhkb8ablth 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 od:/xd x2f04 ahhz 8nb+2ehbkt *o-lb so that the frame is 12 cm square?