The three common phases of mns6ay-5 6+6 rnx er8bgay9v(r da(l /eg+ubxfatter are

  Density is

  Substance A has a density olqhh-jy2 wr .8t *xi;c4xg(glf $3.0 \; g/cm^{3}$ 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 not53p qh (kcg u285eui9d hujtz: a unit of pressure?

  Consider three drinking glasses. All three have the same area bqp)s coa 62s*mase, and all three are filled to the same depth 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 haa q2mc*so6ps )s the greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and outsi,laky8os x 05ide a tire called?

  When atmospheric pressv(00cedom u c.iho9++z1igi :a q)xe fure changes, what happens to the absolute pressure at the bottom of a pool?a:9i(e )e 0i h1m gocif+0ovq.d +xucz

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m;uuvpkr (sb0 : beneath the surface, what happens to the absolute press( s; ukp:ubrv0ure on you?

State Pascal's principl57aeas rja/x0ze3n1te.

State Archimedes' prin5vpji tfvte o ;.y 9-zimu780:kfxke)ciple.

  $50 \; cm^{3}$ 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 wat ups44rpn5 95l4p xk*at wrsa+er of constant density, what happens to the buoyant forcaap* u44npkpt5rs s+5 94wrxl e on it?

  Salt water has greate ;4,y3 vx(zb2zcu, lz s0ve6z vpptr.br density than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the boat?s.b0zz;rzv ctlv 4p eupyz,x62, 3vb(

  Salt water is more dense than fresdgv1,prk l ,,th water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume olr tvd,,1pg, kf water displaced in the salt water is

  A steel ball sinks in water but floats in a pool owii k cvp)+8r6f mercury. Where is the buoyan)+r6ivp kc wi8t force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, r xn-h(-wy rdbir d: 9zp3m2t,yight next to a 10-kg piece of lead. Which has the greatem n,:d-y rtzw2 hrby 9ip-(dx3r buoyant force on it?

  A piece of iron rests on top of a piece of wooe2w)dsxs1 ,kt+e:i ued floating in a bathtub. If the iron is removed k+xse) u d:ite21ews,from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. ytqobefif c. 8tf:00. A second piece of wood sits on top of the fi eyt i.cf8:b0f q.ft0orst 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 pipe at point B is 8k-j s5h.m dzllarger than at point A. Whejmhdl5.k- 8szre is the speed of the water greater?

  An ideal fluid flows at 12 m/s ss eas/ 0;,(uvlf8dbx 0z azrjw7+ :giin a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wis7s jf; sa+ zzda u8vgxe0,brl: w0(i/der section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe naxaz cy /(09yi f1ns84tlyw.tvrrows to half itsay0 vt syiw8.9xfl(cn 4ty1/z original radius, what is the flow speed in the narrower section?

State Bernoulli's pri 2,e/m 9iyk(;)j fg/ tpd;nwcf o,avzjnciple.

  Which one of the following is associated with the la n 7s(i3hr7lp7-ndmqh w of conservation of energy in f np(d-hnlsr7 imh7q 37luids?

  As the speed of a moving fluid increases, the pwma m6cwg a:9j1ehz629: tjz jressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is bb327vmu w ixgz9:4hay2 +dkmjgb/4 x larger than at point A. Where is the water pressure greates3 b a4/vbgxx:dj2h 94mgkyb7u 2iz w+mt?

  When you blow some air ab,na+a xlna-nq g ,n lnvzz f4d.hq::7:ove a paper strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. j)-kk vrun zi;h (s7u8The force of air resistance on him k)u- h(i87;ujrn vs kzis

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from uoep 45 ma,5ija tall too4p 5 imea,uj5wer. Which will reach the ground first?

  When a small spherical rock o4 ;8sngtq;qbnf radius r falls through water, it experiences a drag forcns n8 ;4gqb;tqe $F=arv$, 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 greatest5 5cdc0c crp2jx3t+/p e6o gdp effect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the g05tero/ 2ccx3c pd5p cg6jp+dreatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe 9x0 aelmbjch8 8)3 8)6ak: fwgprnf kfB has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same prw6a0c8 8fkn)f rgm9plbae)khx 38f:j essure 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 th f bgp-4gjq1.ce 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 acg1 fg.pq4-bj cross 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" i+gkpfye. rb2pw :7kl96a v;staste seems to be associated with oil spreading out all overi62y+ ap.ger9; vk:wpkbl s7f 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, the water rises to a height h. /gexildu99:n0zaw7afn j 9vl)u+:)* arz hf k If the diameter were half as great,zi a uhl)x*f: du+gjel 0v9z)rwa99kf/ 7n:na how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweigtg:h0( grbslcu 7 2t2 fz2mw8rcli7m 8ht 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(r c2m7 b m:wi882hufl2r st7 gltzgc0 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;so 3(ppw,rdfio2p9r.ja. ux water bug, are sufficiently 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 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 maxi,aspdx;ru.ip p3. jfow92 o(rmum upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm x 3.00 )j6uq(p3zvc28htcc v 3cqvx 5 cm x 4.00 cm has a mass of 30.0 g. What is ipu5v63x2 jt) qhv 8zcc3qv(ccts density?

  A liquid has a specific gravity of 0.357. What is its den:s(n/ep t0eo 5t0qi rgsvx5j +sity?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x ; e6ui,uc1 zrc4.00 cm. What is the maximum pressure it can exert e;1iucuz,cr6 on a horizontal surface?

  A person weighing 900 N is standing on snow *+kxp hd5vkhon /3bh gh5t)y*shoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (abso e(wcysy mgh0x7o v/0313nzhq lute) must a submarine withstand at a depth of 120.0 m in the o g00xs wo/ 33hq1yvnechy(zm7cean?

  A circular window of 30 cm diameter in a submarii + a34;udlfh0o-)mwvddmv9 wne can withstand a maximum forceu+wa3 v 90-dmdiofh4vmdl) w; 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 absolhjg-gxpr;xq+ 2nv5tu o +z6n5ute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surfa*x f-- nu)4uytnqsbb *ce of sea? (The density of s* -n-4qbbsnu xf)yt *ueawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a locat55c* ke8yaian/ el5- quy;qwcion 15.0 m below the surface of sea? (The density of seanc-/c q;a5 y*iwel8ay uqek5 5water is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The 5t n5seg+g-5 8o hdzmt.ec s,ssmall piston has arego85sm5d eh,s n zgt esc5t.-+a $2.0 \; cm^{2}$. 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 andei+y4qoua8* d5u1d( y flf5k d 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 20,000 N o5y+8ue* 1qfidaddfy(u 54 kl on the large piston?

  A 13,000 N vehicle is to be lift3 pu6 b4m:duy6pnby9n ed by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diamen nb3dpp9uu6:4yym b6 ter piston to accomplish this?

  The small piston of a hydraulic lift has a dicu2.gb7a+ m te) byv.iameter of 8.0 cm, and its large pistonei)u a.gb 7mbvcyt2+ . 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 is the buoyan4yn gy9nhs22jt force of the water9hgysn4nj2 2y?

  An object has a volupz9g jf c7u+;wam)lw3me 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 wh:p tsu29k :sd98prpwqg )nki1ile submerged in water. )9 tnkrs : p: up9is8k1qgw2pd What is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold c4pthc2 vzw+32rr g.lis $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine ( ce:s vy8k67xrdensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 in wategr;tjw) pa /8nr. What is the specific gravity t8)n;ag r wpj/of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Now2p az ke-wnfh643zedjf2 -zb. a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into b2fa fe d2z .j64nzwhp--3z kethe water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with x;nzdcj8 x(da/wvn )cgk77r + gc*6jsqn3 wp/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 cm will j /ify)beq) oo9ust barely float in water. b fi 9yqoeo/))What is its mass?

  A rectangular box of nem.(w+ fnbqf5 zgligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of masswbqnf m.+z5f ( 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 beneaty(sj w:gnp)kdm./ y-* p2dbhah the surface of the water. The weight of the displaced water is 2000 N. What is the weight of th. yd ( shbky):pdngm /jw*p-2ae object?

  A solid object floats in water with +dy3 3q.n8az gscmbg* three-fourths of its volume beneath the surface. What is the obje3. *m 8d3+ szbcyqanggct's density?

  A 200-N object floats with three-fourths of its volugtfj3j arn/. 1n.h)xljw/5k xbq*zt+ me beneath the surface of the wazf+rl.ba 5)./1x xnj3t jqghktwjn/ *ter. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is tif scli;5k,0z jw c27the minimum area of the floe that will just support the bear in saltwater of specific gravi 7fikcj il05z 2t,;cswty 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.+ 4,b1de0w mo(z 4qrshq5vkhf0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2zmfrb dd:f1qc 5q7( 8f.0 cm diameter restriction in the line. What is the velocity in this restrictf(f5q rddc8 : zf1q7mbion?

  Water flows at 12 m/s in a horizontal pipe with a pressure onjl++ ( 5cgvrhf $3.0 \times 10^4 \; N/m^2$. 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 suhp*m+ mtc,az7tr .r0ipply a drinking fountain with 300 kPa, p+7. 0ramhm, izttc*r if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a watebe(jg yl q9)6pwry6a *r storage tank that holds water at a depth of 15 m. At what rate will water flow out *6w(b)jyl6 aer9 pgqyof the hole?

  Water flows through a horizontal pipe of cross-sectional aam 34wv-umhihz 2/0sdsf pb(q4(uzn3 rea $10.0 \; cm^{2}$ 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 6 yhflks::7zv 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 t :yfvh:z6 s7klhe 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 decreas +4+b3 mn v5sp28 avadqfj0tkned the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blodbpa42 v tn3qja850+k+ v nmfsod flow?

  Two narrow tubes are placed in a pan of water. Tdr3vi7 *r b.vgube A has twice the diameter of tube B. If water bd3ir.*rvg v7rises 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 inep mgx0/ jnfm2z)b:0q a capillary tub0pb)/n fjm:m x2qe g0ze of diameter 1.2 mm?

  232

  To what height would water aty0wc l yy-x,8 ty0frz, 0 degree Celsius rise in a glass capillary tube with a diamey0y-y0cltr8xyf ,,z wter of
0.50 mm?

  A narrow tube is placed verticalluera, e-x8p6 uy 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 liqux6 p8-eura,eu id 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 tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a soap fil5qo5 ofk2xw s(,o pft5m formed within its confined area. If the surface tension of sosw foo xq5f2k po,(55tapy 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 length 12 cm and width 5 cm, and isy6u 3qi6cacg9 h0gm i ba9y6g: built in such a way that one of the longer sides can be moved without bursting the soap film contained in the frame. Soapy waterigb63g :6qhmc i gc99uyaa0 6y 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?