The three common phases o+/o9t a,v te:m8tdiu g(q:qzof matter are

  Density is

  Substance A has a density gbhq8 *lgto sp/58r/fof $3.0 \; g/cm^{3}$ 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 opyzwp5i//zhr kdek e tv-r q,)+8qx73f pressure?

  Consider three drinking glasses. All,hu,a(wl g )*whh,cf47.i mx bdl am8g three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. G b l,m)ih8 a(cawwh47,um ,.fxglh* gdlass 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 pressuwy1+.q ho fex,res inside and outside a tire called?

  When atmospheric pressure hmhs.u5ks9 vxm qm+y8g*6o zs (d1sv:changes, what happens to the absolute pressure at the bs hm9+ ( dvsvs16h sk.y5o*u x8mz:gqmottom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to y cekv2;3a 3:i,8ndrt)a mue y2.0 m beneath the surfaceya2,ai:ek ;n3r) dm ut8cye v3, what happens to the absolute pressure on you?

State Pascal's principljs3 uw9xf.wn*w; eu eq;2+s kle.

State Archimedes' princip .d((snxa5zwv le.

  $50 \; cm^{3}$ 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 waterhh.e0elf e08zxa 3v z( of constant density, what happens to the buoyant force on it?3 8h0x.vl0fzee( aehz

  Salt water has greater density than fresh water. A boat floats in both fresh wag3p*powm+s nj7he 3u0/yro1a ter and in salt water. Where is thu0rms/n3 ae7p oop3w hgj *+1ye buoyant force greater on the boat?

  Salt water is more dense ty5yov mfj 9:x l 9spj9*)5mqnnhan fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume )onfm n:y sqx9v*pljy95 j95m of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercuryvz5xzw b71(e w)o40plm d/ jep. Where is the buoyant force on the b5(p0 7ewdz1xvbz/m4ep jw)olall greater?

  A 10-kg piece of aluminum sits at the bottauoj(j;k twl0 vj-i-r 2;dic b+-jr/jom of a lake, right next to a 10-kg piece of lead. Which has the gr+/; -rluwdoj;vcji j- -i0jat 2jrb(keater buoyant force on it?

  A piece of iron rests onemy-9wu w)0 udh rv 1nh(bw(o6 top of a piece of wood floating in a bathtub. If the iron is removed from the m h6www(yuvr 9u()od10 bn- hewood, what happens to the water level in the tub?

  A piece of wood is floa0v, eoav+i 7bwting in a bathtub. 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 ie 7w+0v,a ovbthe water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at poi)xi(txb6rn, ;2sf, frab8 y lant B is larger than at point A. Where is tsr,i f6bf )bnltx,8yax;a2( rhe speed of the water greater?

  An ideal fluid flows at 12 m/s in a hojfz: m) vlyi9 o1k*sn1o0+*.ot otrtmrizontal pipe. If the pipe widens to twice its original radius, what isntfm 1i0z:o1 yv*9+tkmoj) tso*.o lr the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrojhp; 2yu9vxw5bem;9 w ws to half its original radius, what is the flow speed mvy99wew; u;2xb hpj5 in the narrower section?

State Bernoulli's princip ,+kri5gz0 i ory0a-oile.

  Which one of the following is associated with the law of conservation of ene;) .p7il0 niqzks jw2j9l(pm nrgy in fl 2 nl9zi7 s ikmn(lpw0)q.jp;juids?

  As the speed of a moving fluid increases, the pressure in the f/oesna52zmv8.pwe f .luid

  Water flows through a pipe. The diameter of the pipe at point B is largeiqji coe+vy/ 6jx3jg-bq6,aw*0 ua-s r than at point A. Where is the watq/qoiu+jyj -*6-xj0 a,3wev gaci6bs er pressure greatest?

  When you blow some air above a paper strip, the papwk zt)(2zm)u yer rises. This is because

  A sky diver falls through the air at q*r2j4zo(hyxa g2* q fterminal velocity. The force of air resistan*rx2f4(q *ajg2q zyohce on him is

  Two Styrofoam balls, of radii R and 2R, are released.fz1bqn1p3f l56)idmg3 fah d simultaneously from a tall tower. Which will i f lmn6d1zhqf d51 b3)p3af.greach the ground first?

  When a small spherical rock of radius r falls through wateru1( w0y**dzobaa h9q z, it experiences a drag fo( 10zya qz9*howubda*rce $F=arv$, 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 )m-- ubwrfi s)gd.) clof fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, whr))b i--gc s wulmdf).ich would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice s pd)+yn9yf6tthe diameter of pipe A. Water undergoes 96ndyyst+f)p 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 sarittfri q 4k,3equ ke(26/d-ame diameter, but pipe B is twice as long as pipe A. Water undergoes visco k- ida t6,rfqki2(/eu4e tq3rus 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 greasy. This "greasy" taste seems to be afl4w,3kln d o.i-junf 3cf g3:ssociated with oil spreading out all over the surface of the soup, inste3 :. ocgjf3kfudn4nli-f,l w3 ad 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 n: qv)s qf.s4,lpefpziibi54xs4xxb7* qb*: rises to a height h. If the diameter were half as great, how high would e*l.pqi )iif x,s 5q:n4*p47sbb4zs vb fxq:xthe water rise?

  Certain insects, such as the water bug, are sufficiently lightu:*b2flvmyeuz54tvc- 0 i m d1weight 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 B is twicefb4y05e i*d-vvz21uc mtmlu: as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, suc,p:jjr j.swg.h as the 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 Bjp.:,rwgsj. j 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 dime1zv-9: ,sznezl- t ahvnsions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. vehn,l 9s--at: v1zzz What is its density?

  A liquid has a specific gravity of 0.357. What is itsi1wzv17awpn8:cpmc4fq7p u k0 kfm :6 density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is theewr9-ude ufm- k2n1(sqb9wh1wj : :r p maximum pressure it can exert on a horizontal surfe(kd1h srw9w2j eu:p9u1f-b rwnq :-mace?

  A person weighing 900 N is standing on sno ck3ief89eg(jemg j 4;wshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute),iw80-8i6q *wz*gir sn ozevk must a submarine withstand at a depth of 120.0 m in th88e*gsrni6 ,oi v-ki0z w*z wqe ocean?

  A circular window of 30 cm diameter7l9b)k u :xv2wq;vnfm in a submarine can withstand a maximum force ) nk72ul ; :f9vvqmbwxof $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure ifsb n/z5pvl4zu:q5 wi / the absolute pressure is 300 kPa?

  What is the gauge pressure at a locat9i s +o6nm9n tiji8/t2wbfk 9lion 15.0 m below the surface of sea? (The density of sef9mwt9klj i 6i 2b+ts i/n8no9awater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m fdk9 3s2/6kp-wo p ygys9ytk 2below the surface of sea? (The density ofyyps 3s kd-w2t2k9p6k f /9oyg seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The smai 5m3-vte/j +bivpj 8zl;/z ztll piston hal5vz +t-t/ 8b;e 3zv/mji jzpis 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 /nt ru:4t hwl7of 5.0 cm and the large piston has a radius of 15 cm. What force must be applr4 /hlnwutt :7ied 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 :f:+e )wgvwdjhydraulic piston. What force needs to be applied to a 5.0 cm diametvje)wf g +::wder piston to accomplish this?

  The small piston of a hydraulic lift z.azoe4 .gk6znbe 68bhas a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lifzk6.age4 8zbnbz6 e o.t 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 weiz .owk*8zz pauy +,geqtf0tpc )cr616 ghs 40 N in air and 30 N in water. What is the buoyant force of the w ,koua6wzy)g tf *608+t 1 ec.zzcqrppater?

  An object has a volume0 l:ov7j3 2 cpc;uwwqz 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 whi kb;sp 5-/+-t (d/qr4amsjmakey 3gcn le submerged in water. What is the tension in the stringbmrtc3 k+p/ m/aqsn5;jg- s (d- e4kya? (The specific gravity of iron is 7.86.)

  If the density of gold i.5 ( 3jj o/wmmksk8oazs $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine :s zo2u2f 7np /whvtw,ki5bj5(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 in wate;,j*z zg -q3x0lw snhanl3vn1 r. What is the specific gravity of the object0nl -nl33wz j,x*gh;avq nzs 1?

  A container of water is placed on a scale, and the scale reads 120 g. Now4g2f1q x6oz e;a ku-i.ras.f9ynp3e f a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and loe fffoak2- q 14x9e3..6 gi;uszapnyrwered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass nw(+iqd x7o39o lkls r8- v3fhof 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 ktz1 0wlbx6v yc-lufm75 r7r; cm and diameter 2.0 cm will just barely float in water. ;l6fztcv7xr l ukw7r-05y1 mb What is its mass?

  A rectangular box of(gqg:tcuw7 *rw29kswshyf74 negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. Ho w: 9w4kyhc*2gw7s (rqs7uftgw many kilograms of mass 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 beneath the surface of the water. Thegs3irughc6) 8 weight o6suhrgci 8 )g3f the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volum5r)con-( yh dxi9v3bye beneath the surfa)h-5ryxocb(y n 93 dvice. What is the object's density?

  A 200-N object floats with three-fourths of itsiz iomu, e:;ed59;w6y)trrwo volume beneath the surface of the water. What is the buoyant force on 5r,:mz9 uetydo) 6r;w e woii;the object?

  A polar bear of mass 200 kg stand 9lb - g62u9bs6jc.2ss cco,ga7p srifs on an ice floe 100 cm thick. What is the min2gccsigscr.oub2 9fa sb97 l,j6ps- 6 imum area of the floe that will just support 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 cmje 41p imep1h: at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There v u5t*k( qj3wwis a 2.0 cm diameter restriction in the line. What is the velocity in this restrictio3tw( wqvjk5u *n?

  Water flows at 12 m/s in-k1h0ujm47awba s8tu2 voh9wzkh3bc2l u) i 0 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 drink54tr0*vt- fkn vox)dli)u(cd- 7f ztxing fountain with 300 kPa, if the fountain iuc(z50vfd)i f 4t7 t)tkxvo x n-*rld-s 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage ta15sarkiq6 ,kk nk that holds water at a depth of 15 m. At what rate will water flow out of the i1 6asqk,5kkrhole?

  Water flows through a horizontal pipe of cross-sect1f5qh3nybl 03)rlj gq ional 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- ljfuxq-b) h*6k+avz.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 is kept 6 cm above the top of the neck, and neglect any drag effects due to the upper part of the fuku+) *j6-ah-bfzxvq l nnel.

  Suppose that the build-up of fatty tissue on the wall of a sg2p wv jb6d843cpn,hn artery decreased the radius by c n3,pjhvs 28gdb4 6pw10%. By how 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 pan of tr*g) t+faxw3n:bpku94gd :g water. Tube A has twice the diameter of tube B. If water rises 24 cm in tubeu:tdbftk4*p)g3 gn 9wxr:+ ag A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in a capils4lbyf,gn,4: ek9rt5da2 a cllary tubt2abk4 a, d l9gr5c:ln,4y efse of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillar-k p(7w r1wxgu/rn* *z g/ron;atgsh2 y tube with a diametekgwr7g(h w//gt sz2* xanr;1o *unp -rr of
0.50 mm?

  A narrow tube is placed vertz )khg)ti: pjgon2z5k-;.qn eically 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 heighz ejn)kg ok)nzt2.5 p :i-qg;ht of the liquid column in the tube?

  Consider a rectangular frame of length 0 g rl3qxr.(a3ryp q,h1.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m,,pya rhrq.33q( rxlg1 how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and w evt q+5x3:l;uz.ii t2g d ,c)8vjlsrridth 5 cm, and is built in suc3i) d,x.llv grue2 rc;jtqzi vs5+8 :th 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 so that the frame is 12 cm square?