The three common phaig45*mtqsoq 1f1hqe p0,ab i ;ses of matter are

  Density is

  Substance A has a densityga7xeet -9efz2v 0fmtf 8v 9-fbvf1* 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 of pd .1qe(cwg 6hlressure?

  Consider three drinking glasses. All thnn+1 :sh jxp,qm+0j qkree have the same area base, and all three are filled to the same depthp+ jnnqs1 hkq0,j:x +m with water. Glass 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 pressur, *(cwt9 tiexlnts/,jes inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolu i/5br4 ghzuy.te pressure at the bottom of a porub/zi .y h54gol?

  You are originally 1.0 m beneath the surface of an2kg(f s/e 6kx pool. If you dive to 2.0 m beneath the surface, what happens to the absolu( knkf2g6x/es te pressure on you?

State Pascal's princskvl ,fo.i4.hiple.

State Archimedes' princib7l 9p nhbm(rz3w3 2fad*b/wr(g)ohsple.

  $50 \; cm^{3}$ 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 otxca5w (1ls8tdv z ej1 o.d0:zf constant density, what happens to the buoyant force on it? :1 8o etsd0vczl.wxadt (j51z

  Salt water has greater density th rr+) a vr hnmc,ravu,u1s623san fresh water. A boat floats in both fresh water and in salt water. Where is ma1s2n,a + r3vu6rr us),r cvhthe buoyant force greater on the boat?

  Salt water is more dense than fresh waterabq( .rt/:yms bkj,ib;q03a z. A ship floats in both fresh water and salt water. Compared to the fresh water, 3b:i0s,qr; (amkq/ yzt.jbba the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where is the3d*ttsui 7vyd*k86 h v buoyant ford83 *uyd7*v6tvskh i tce on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right nex4 37asl3+; qpcfbp rnzek6yc-t to a 10-kg piece of lead. Which has the greater buoyant forzlp3n c7sbe4 3yk; qc-+6fa rpce on it?

  A piece of iron rests on top of a piece of wooz ,u.0w o0yuhww7- qmx,isk,kd floating in a bathtub. If the iron is remoku,.-hy0 u w,zs 0qki7wx mow,ved from the wood, what happens to the water level in the tub?

  A piece of wood is float ;y ag -:53sn8nyoad7do6hp8cd sfhq 1ing in a bathtub. A second piece of wood sits on top of the first piece, andhc-:ags5ndynd h16o87 pyq 8f;od3sa 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 pipe at point B is larn7-zl65 4dq,cq .p qnrjc r5bwger than at point A. Where is the speed of the water cjd qwcb-6, q7. qr4p5z 5lrnngreater?

  An ideal fluid flows at 12 m/s in a horizo n(lj:0xzxr(pul8 :uz ntal pipe. If the pipe widens to twice its original radius, whatu p xlz8(l(u0 x:n:jzr is the flow speed in the wider section?

  An ideal fluid flows at : lo2p(+vfza dt*j3yu 12 m/s in a horizontal pipe. If the pipe narrows to half its original radius, what is the f vfdau 2:3+oyl*(z jtplow speed in the narrower section?

State Bernoulli's prinwb1/ ke51q (s *69uaan9vuvl :l ntkipciple.

  Which one of the foly*jvy9q3p r tz-4tkv/x 5iir- lowing is associated with the law of conservation of energy in fityyzj/k qp9vrix5v*rt4 -- 3luids?

  As the speed of a moving fluid increases, the pressure in4+ix 2svh,yni2nms/s43j 81yg frsux un+s8 w the fluid

  Water flows through a pipe. The diameter of the pipe at point B is large/8g8:m lbix rcc5,9quzpts; hr than at point A. Wherecbsm5z p:cqg9 i ht8u,r 8;/lx is the water pressure greatest?

  When you blow some air above atx/fk4ywe .hu6go*m kt 0gu(s9sq 50b paper strip, the paper rises. This is because

  A sky diver falls through the air at tex*r:) f4l/ bggq6qpc 2fb) qmfrminal velocity. The force of air resistance on him mq q4frp6ff)* :bq2c/) gblgxis

  Two Styrofoam balls, of radii R and 2R, are w5 (e 7vcvsss 1h3rzh/released simultaneously from a tall tower. Which will reach/v7zw5ssvc1 eh (rs3h the ground first?

  When a small spherical rock of radhv a9mpff34 ,lk+n9acius r falls through water, it experiences a drag force +49 anmh93,a lkc fpvf$F=arv$, 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 ptb3c. muap wfl 48vz)) a8kdw*ipe? That is, if you made a 10% z)afwl3 *awmut. vc 84)b8kpdchange 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 twrs v47g vo q35 w5v*q,cnolj3uice 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 flow rate in pipe A i5n *o5s,jqc4 vw3olqvv7g ur3s Q, what is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as long as ,kddw1nwunk5qk x5in054pl8 4 nh)qqpipe A. Water nxnpk,lkdd8 kq)u45nqwh54 50i q 1wnundergoes 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 g8 sdor e/r)bv+;kmxf (reasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in/ ev)xfm8 s;kbr rd+(o little globules. To 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 9 )ql8b:ad jzmh. If the diameter were half as great,)98ml zqad bj: how high would the water rise?

  Certain insects, such as the water bug, are sufficiently zgc q,la+l*/clightweight 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 lc/ , *+lagqzcdimensions. 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 l gwj,feu.7b*4j s.pq89mf ydf ightweight that they can run on top of water without breaking the surfacjgj 7 9fup.mq w*.fsy84,ebdfe 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 2.0 xf/cd(*.j/ar 7aovkp0 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its denack(j xv r.foa//dp *7sity?

  A liquid has a specific gravity of 0.357.33pq3 :f5qt2l ygbeg b What is its density?

  A brick weighs 50.0 N, and measuresk-s*tmjch;up c9r5 c6 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pr6kpst;c-5c *9huc mj ressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Ea0k*w 2:c3ywey()g c0emg eus ach 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 120.09 nckv a p*w-2ng4zdml5uxz :0 m in nakg9 cz*u4z-v5nm0w :l2x pdthe ocean?

  A circular window of 30 cm diameter in a submarine can withstand a maximum ihv1w xk),(ni5l dgh 9force oxn l9)(hwid 5gi v1,khf $5.20 \times 10^{5} \; N$. 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 absolutgn m*pn +l1/tge pressure is 300 kPa?

  What is the gauge pressure at a locby5 rk e7:g+z2bh0qhy ation 15.0 m below the surface of sea? (The density ok+hhbybq:z 0 g 275reyf seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a locatiwf/bh9lw di2lj +6-bson 15.0 m below the surface of sea? (The density of se 29b+wh 6iljbl-fwds/awater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine.o6foyqs+eautcw ; 5 laj5 )5.j The small piston hal fsqjuy)6at5eo5+o; 5c. w jas 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, thei.n/ cdpimc4r((rus s5fu()g:2 ltlr 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 piston in order to lift a car weighing 20,000tf si p cil(. (5r:rg(2d4/umr)c usln N on the large piston?

  A 13,000 N vehicle is to be lifted br 9:e-;pnkifbhahqyzy3cy 5w 8u ( 3+cy a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter p3yynb-e5k8c+ i u q3awhcf:;zh(9r ypiston to accomplish this?

  The small piston of a hydraulic lift has l8f m2yqs6m si0jt-(sa diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift6ys2 j l-(smfqitm0s 8 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 ec0z0wz*,mkno , ur t9and 30 N in water. What is the buoyant force of thc knot0wz e9z0*r ,,ume water?

  An object has a volume ot*7zg5e-)z.dh.up 0gry ifs x df7x x(f $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supporte (+)i/dfadnve nfs x3;d by a string while submerged in water. What is the tension /s nax ()f+;denfvd3iin the string? (The specific gravity of iron is 7.86.)

  If the density of gold isb8 aye2-uv1ey* nf a8w $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (density umttmz3m65c ( = $7.8 \times 10^3 \; kg/m^{3}$) 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 airbkyc 05el 0hdi r86t+u and 6.86 N when it is immersed in water. What is the specific gravity80ki+y50rld6cb he ut of the object?

  A container of water is ply2(ix,bz dnj ndsqh5p. z.5 zu4r,atz4p0i (oaced on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread anp,ni(,2zz sj.ahzonib 5d(4pt0.x4 dy ur5qz d lowered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a 9n8po6wfh6l i8f potg (u55cemass 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 a0ctvnyju4i z6;yam f-t49nc.nd diameter 2.0 cm will just barely float in water. What is its mass?; i 6a.9jc4mn-4yutfyc vnt0z

  A rectangular box of negligible mass measures 5.0 mp. 0,78 ydod8si kjeim long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sin .8dd8o7jp0 iymk,eisks 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 iuaq9+d lqyh u:p 9x::water. The weight of the displaced water is 2000 Npxu9:h9ladiu+: q q: y. What is the weight of the object?

  A solid object floats in water wi ;nk4l23h 22rpcx(mjoly0t k jth three-fourths of its volume beneath the surface. What is the object's densitp2l0ncy(j t o2 mj2 3xhlr;k4ky?

  A 200-N object floats with three-fourths of its volume beneath the sh;-,cedyrs90xjr +vl9*v qap urface of the water. Wha+r;vrv s *xy90-jea dhl,qp c9t is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick2 dr8e ldj2q2at0 vk4h. What is the minimum area of the floe that will just support the 2qh jl d480vdek 22atrbear 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 rateoem2b7ffim(10pl/jb no -+d5 ma g y;d.

  Liquid flows through a 4.0q2 7 )jr.rqhhiu3k1/ iirq(lv cm diameter pipe at 1.0 m/s. There is a 2.0 cm diame)j vurilqh2 h73(qi1 .k /qrirter restriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/o 1u .qq:cc*pps in a horizontal 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 fount)o4j mw ssvhoh:z fg(./4ll k(ain with 300 kPa, if the fountain ish4()4( zlwmgk: flsvhj ./ oos 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tahw9 *dxkwmz 21nk that holds 1mx9 hk*d2wz wwater at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe ofun 5;(axe6 mat 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 viscbs oa8;0 setebq6. eu7osity of 0.20 Pa-s. How 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 i8see. qu0t;eso6a7bb s 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 decreased thuklp0du.l6myo3ce -7 h 3n9 gme radius by 10%. By 3 u 7d o9n0.3m gylm-ehc6ukplhow much would the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan3sbxct8q;k g/ of water. Tube A has twice the diameter of tube B. If water xs;8cqk 3/gbtrises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise i/xi6eg-.p-fcg oh 6aun a capillary tube of diameter 1-u.gcegfhi/a- 6opx6 .2 mm?

  232

  To what height would waterwq z+ n-h.cd-x at 0 degree Celsius rise in a glass capillary tube with a diameter ofn--+ hwq x.zdc
0.50 mm?

  A narrow tube is placed vertically in a pan6k xf3 +j.cythrydl8 + 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 orryc.x+ 8yt+hkdjf6 l3iginal 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 0.120y(fhrd;/72c4. rvwy tt1fzjv m and width 0.600 m with a soap film formed within its confiy2thr ty;v zvfrwj7d/.fc(41 ned 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 side?

  An adjustable rectangular frame has length4w or8co vo*g0 12 cm and width 5 cm, and is built in such a way that one of the longer sioow0rv 4g8c o*des 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 square?