The three common phases of m0:(u1h b(jxjs )omwr(b + nmio)yl d:vatter are

  Density is

  Substance A has a densityx0 27av ez m8p6cp:h4; ssgwn-dviz,p 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 yhak g0tb);+hpressure?

  Consider three drinking glasses. All s zd(mo*myt5sj;qv*8 three have the same area base, 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 dzo j*;ymvs*q s8tm5( has the greatest liquid pressure at the bottom?

  What is the difference between the press4w6y 5zdu+ oti lut1w*ures inside and outside a tire called?

  When atmospheric pressure c52ausg12r -hc gpj lm0yv/0sehanges, what happens to the absolute pressure at the b r5y 01hgs-m0u2 lj/gp2avse cottom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If yh;( /fr tx/hvyou dive to 2.0 m beneath the surface, what happens to the ab(/hr/ v; htfxysolute pressure on you?

State Pascal's princxlitv*8 e27(fcud: bhiple.

State Archimedes' pri7lpf7yb1:5 o-g mykhanciple.

  $50 \; cm^{3}$ 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 densityyv0 ve: 11ijgb0 )mpza91 mxvn, what happens to nz) mj:mpb1vg1v v1yixe009athe buoyant force on it?

  Salt water has greater dens0 9: swaprlz+hity than fresh water. A boat floats in both fresh water and in salt water. Whers h0p9l zw:r+ae is the buoyant force greater on the boat?

  Salt water is more dense than fresh w;-5xhy eg )yi2l5yg vpater. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displgi2e;-p)5 5yhvg lyx yaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where is twgky 8(:vjwh3k zkd. 7he buoyant force on the byj k z.v7hgwk3kw(:d 8all greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, rightwhqt um( 7+za:c:zlb 8 next to a 10-kg piece of lead. Which has the greater buoyant (czlh az+wq :ut8b:7m force on it?

  A piece of iron rests on p3;(m5p ovuso top of a piece of wood floating in a bathtub. If the iron is remoumo (o;sppv35ved from the wood, what happens to the water level in the tub?

  A piece of wood is f loamiy eo:ql;;6e/m v(2xl)qg . w+iuloating in a bathtub. A second piece of wood sits on top of the first piece, and does not touch the water.+eo;yuqv a)q m(w :6ml li/2xie;lo.g 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. Tq2hlb+low m4saq 7ik eey 6/,9he diameter of the pipe at point B is larger than at point A. Where is oh qiwllke ,+s4e /q79ym26ba the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizonta fv0gyfx2f(4 vl pipe. If the pipe widens to twice its original radius, what is the flow4yx2v(fgv0f f speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe no5vnasp 5+,l 2g be5l:v;fkovarrows to half its original radius, what is the flo5p2 v +,bkl :ov5gfe5nasolv ;w speed in the narrower section?

State Bernoulli's prig8k0n0tpk/cr fw0pc )nciple.

  Which one of the following is associated with the law of conservation v 4t0pky8rn +)n4wtkh of energy in fl4 8vy hk )4+t0pntkwnruids?

  As the speed of a moving fluid increav ujw n- 9xm4q/k5x;scses, the pressure in the fluid

  Water flows through a pipe. The diameter of tph(y zzaqlrb80bv* ;1he pipe at point B is larger than at point A. Where is the water pressure 0pbrlzh z 1a;y *8(vbqgreatest?

  When you blow some air above a pfgp+a8wx v)xej t,)s8v(7o np aper strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of arw(b(qweker:wa 8g n9b kpv2u3u1/2 gir resistag2a3wn:/er v1 wr(uekp g9q2k(u8wb bnce on him is

  Two Styrofoam balls, of radii R and bccy t+x-.* (c72z igjj lkz9u2R, are released simultaneously from a tall tower. cc zg tbl.-k+(jy9*2ujzc7ixWhich will reach the ground first?

  When a small spherical rock of radius r falyy6. vwrstd3k0t 0d6zls through water, it experiences a drasy0dvtyw. 0r3k6 z6 tdg 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 throughe 7aga x;so*q1it01 jz a narrow pipe? That is, if you made a 10% change in each of the quantities belowzs gj7; xa*oa0qi11 et, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same leng22m0 9ulh ejnjth, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the samjh2le9njm 0u2 e 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,yq)8 xl eaun( diameter, but pipe B is twice as long as pipe Ae lya)q8x,un (. 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 is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes h/om lmqdt7hg 1-btbv2ra)2w,pp7.p greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of th27pwbgo. lqt,p)a1 b/v7 pr- dt2 hmmhe 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 hei/ 49jsoq dyok)lip;d 8c ms6j2xbaiei;r,-z,ght h. If the diameter were half as great, how high would the wajkdislq2i b /s8xjd a9,or-y ec i;m, 64)pz;oter rise?

  Certain insects, such as the water bug, are sufficiently light8 ;uiz-wmr bg9weight 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 a-mgr8bzu;i 9 wll dimensions. That is, bug B is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, suchqlc-ww7+l 5 hvy8ug 5h as the water bug, are sufficiently lightweight that they can run on top of water without breaking the surf 7 hwl5vlquh8y+gcw-5ace 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 2.00 cm x 3.00 cm x 4.00 cm has a maslbdv/*.. huubehw -0jy(wb r) s of 30.0 g. 0eb)huwl.wuy (bh* /j -v.dbr What is its density?

  A liquid has a specific gravity of 0.357. What i+r jqm *o7uea5s its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 8ue v( net9.qe i*7jpsw bs)e74.00 cm. What is the maximum pressure it can exert on a horizo n 7etbss. * jev7qeiu)(w8pe9ntal surface?

  A person weighing 900 N is standing ;;u rk8urj6/cn ian k1on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withm1f 3sz0g1 8l hhrixm7zp(3cbstand at a depth of 120.0 m in the ocers8ph(m fbmhl 1c173zzg0x3i an?

  A circular window of 30 cm diameter in a submarine can withstand a maximum fo.gmlshsj f:r;,a / dj4rce of 4ar:lhsm ,s f./gjd;j $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pres5:c c)v tg*,oi sr+h+e( uvgsosure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below tq qzkv- f*;tb1w(:obfhe surface of sea? (The densitbz(- * wtqk b:1vq;fofy of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a jl 4dyz69) mb;t-uecalocation 15.0 m below the surface of sea? (The density lazymec)t 4bj- ;69duof seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydr7jo d8yc8z3fxzs4o t9nr1x:gx: rd9eaulic machine. The small piston has 1xojcxze8r 9f3sdon7 grt: z9 d8y :4xarea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, th2w2p ewdz z7*(n6 fgmze small piston has a radius of 5.0 cm and the large pm7*zz6 fwg 2w2z(n edpiston 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 on the large piston?

  A 13,000 N vehicle is to be lw i1xrq72 ,2mowsdpy9ifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish thiwoxw7 q 92i1dm2psr,ys?

  The small piston of a hydraulic lift has akfm+lfc2/n oa *-b2i s diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a mc2a n2kf /b *lf-is+oload 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 :i(i d tj3;-zmsq s1pobuoyant forceop i;1:s-dq3 m z(tijs of the water?

  An object has a volume msdhdkl1 z /(.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 while submea*-mfu7 dio h4rged in water. Whatad h-*omi4f 7u is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold ism c(v 5pjg7n8o $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submq2-n; q.0lppyz .knz:9pra ujarine (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 q rp,b9jsot5w+ (k.epair and 6.86 N when it is immersed in water. What is the specific gravity of the objectwb.+ ,k5so (erp9tpqj?

  A container of water is ploe-13v uw5z 9 sttra0waced on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspend- t39 0w1eruwosaz5v ted from a thread and lowered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a3tjdj+za,e;v 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 just bb31xum l,7ji barely float in wat3j ibu,mlx1b7 er. What is its mass?

  A rectangular box of negligible mass measuqcyj*lmytqo n0: (n0 4res 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilnnqo0* 0cy:ym(l jt4q ograms 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; jg z1lod/n+b: hk6bl. The weil1 +;bjnl6:dkohgz b/ght of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the wmq -v9-(,i(hl+x syz bfllo. surface. What is the object's d. 9ymfv(lxbq zwl hs(,--+ loiensity?

  A 200-N object floats with three-fourths of its volume beneath the sue o)9nbjg:fokndv + x+d x*e+9rface of the water. What is the buoyant force on the o kfbvg9nde dn9+):*x+xjooe +bject?

  A polar bear of mass 200 kg stands on an ice floe 100 cm tr ykbi;kk2 z+/ (0 py/ojdg2)ln9onnghick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity o n/2bjd l0k)o/(gy9k knp;iry2+ogz nf ice is 0.98.

  Liquid flows through a pipe of diamgioh(., 9 -*mmqxgvhgeter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 xl:8f(jdf;xc1*z me jm/s. There is a 2.0 cm diameter restriction in jf 8lez (xxdjmc1:f;*the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure ofclsls / y(u0 ch*; cd3pegvzx*,2mf 4w $3.0 \times 10^4 \; N/m^2$. 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 dr5 5j sd xu:vj8y4:docb cue,gq0r3 /wminking fountain with 300 kPa, if the fount, 8jo05xu d:ceds4:3bvgwcjr 5yuq /m ain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water stan 49yskz 17)mov.ona orage tank that holds water at a depthky nn 147oazomv9sa). of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-secq,lw6o7+ p9h we v+opwtional 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 hsg62esb+nof*rw 4-km tzs*s )u rb;2 to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in -6ss bo*unkb2s;r*2hmer f 4ts) g+wzdiameter? 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 )i 9: /l povo0tcoxenr4)ztl 6t9f h,eof fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the hear9pe /ov lfxn)ohr0t 4),9itt6: oz lcet have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in90o:aw 9wdned5o3yi w a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high oiw: d9dewna35wy9 o0will it rise in tube B?

  The surface tension of water i7b-wehmb4vfvh0f: pl 3+bee h7 n+;aus 0.073 N/m. How high will water rise in a capillary tube of diamete-hnfb f4ev; +alb7h+w: uehv0e 3bpm7r 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glujriu o;m- -q:z; 2t.yqax /qnass capillary tube with rut- a/q;: q;i2mjox zy-u.qna diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of wat9w/ c zvm0z,tser, 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 0 tz9mws, zcv/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 leng:5itr0 y)f 0 uen8tpwrth 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy wate0pifyt0rerw u 5: n)8tr 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 is buidrg., 6 kdcku+lt 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 theckd ,.ku6 rd+g adjustable long side so that the frame is 12 cm square?