The three common phases odxy lih(vce-+(mvo84 f matter are

  Density is

  Substance A has a density ozdc 5*wjdmm*i .8wr e(f $3.0 \; g/cm^{3}$ 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 un42s/c ffcr-j)v7en+h5qe d r nit of pressure?

  Consider three drinking glasses. All three have the same area :0 py th6nzoss*:v.o abase, 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 zp0ontvo:a*h6 sy.: swater 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 pressures inside and outsi.x-ky5wel ( h4qedp3rde a tire called?

  When atmospheric pressure changes, what happens to the absolut.yb fo/eo; 38dt6wtl2 vvph* ve pressure at the bottom of a p vfoh36vwe *l 8./bdytptv2;oool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m b6qn/p *mx8e (o+ctyc feneath the surface, what happens to t(fyct8m6 +*pe xcq n/ohe absolute pressure on you?

State Pascal's princ yigyi*g uv2*4iple.

State Archimedes' princv 5y mmxz(hv )1/cmagsmj,m-3iple.

  $50 \; cm^{3}$ 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 b sfhw8iq, *3v30lxokconstant density, what happens to the buoyant0*bfv3, sxk83h wo ilq force on it?

  Salt water has greateouw5qqh67oc qm3 z8-yi ,g0qtr density than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant fotqq-85oi 06mwoy, chu qg3q7zrce greater on the boat?

  Salt water is more dense than fresh water. A ship/a h6+*h( e). g*ovfqsepns m gtmjw6- floats in both fresh water and salg) g t6/a.p w v+*-(ehoseq j*sfh6mnmt water. Compared to the fresh water, 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 lpoy byf 0-1-5s;rvt7:swyee the buoyant forf :5v7o -epsy -tlsyyewrb01 ;ce on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right nex0 e ,s:fh 7y7f/:*lxhk6mx/eedzclalhj / dl/t to a 10-kg piece of lead. Which has the greater buoyant force on az ///ed7 xkxhf*my/6, esel:hlc0: hjlldf7it?

  A piece of iron rests on top of a piec0 hxx3ru 1wv0ve of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water level in thw0 1r0v xxvu3he tub?

  A piece of wood is floating insmz(+uq4/ igp wbnl* vxlk-*2 a bathtub. A second piece of wood sits on top of the first piece, and does not touch np x/ lilk u -w(sgqvz+*b2*m4the 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 tjm+ i0q l5nv-frbruj0.m :h;t he pipe at point B is larger than at point A. Where is the speed of tml-tq b5.+h ;:v0fjjir0n rmuhe water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pip14 dd8qj4o5 yv ys4dsde widens to twice its original radius, what is the flowjs4 1o4dy4qddy v8 d5s speed in the wider section?

  An ideal fluid flows+ klmi6ku6z f( at 12 m/s in a horizontal pipe. If the pipe narrows to half its original radiuk (lz6+6uikmfs, what is the flow speed in the narrower section?

State Bernoulli's principlei. ;8kuo2d dxpbme6a 5.

  Which one of the following is associated with the law of conservation o6,47mqqo rm lv--6t/vd ldpevd m 86rbf energy in fluidsdl4r 7tdvdo/ b68m- ,ev-mq6pmv qr 6l?

  As the speed of a moving fluid increases, thedp*w cj p(c9n7 pressure in the fluid

  Water flows through a pipe8 gsab4c 3yat;. The diameter of the pipe at point B is larger than at point A. Where is the water preaycab ts4 38;gssure greatest?

  When you blow some air above a paper strip, the paper rises. This is b,;ndpat u0.r+h7z4ty xr ah3 decause

  A sky diver falls through the air at terminal velocity. The force of airwi2. /iblvs0 i resistance 2vbwl.i ii/ 0son him is

  Two Styrofoam balls, of radii R and 2R, are released simultau jw0t:-v3 ;f6q qlfcfneously from a tall tower. Which will reach thet0fcv -;f6 uf qqjl3w: ground first?

  When a small spherical rock of radiusu.s5d;papef n, d6cdzmw1(2b r falls through water, it experiences a drag am1ds bf,cd.zp p;ed(wn 52u6 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(zaj)5r/6 wwnw 0l 3kvykdxa( fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause thkjwdn y a0 vw)(zxak /w6l53r(e greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B+ sm1r/2w woz b4r); gi6zvbzf has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the sa+;wf2 wb)brm 1i/r4goz6 zvszme 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 diameter, but pipe bn18 p x-ty+z ,/xw-yoiy,pcsB 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 pw in-p pyby8z-o+ xyt,1/scx,ipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes gdgb,+3zxq(-y :* 6fv:wkgolu2mob on reasy. This "greasy" taste seems to be associated with oil spreading out all ov2q6f:b n3z dmuw-bxo,o (+gkoy :v*gler 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 s vbllg-c;d t33 9kx 6xgwaaag,f)k:6water rises to a height h. If the diameter were half as great, how a kkgwla; 3g-, :xx9dc6la6 tf)gsvb3high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightw7t h dqd0rzw4uxp, a.7eight 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 ,q pu0dd7a.r 47wxzth. 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 suffirbog;tm 6yg+7 ciently lightweight that they can run on top of water without breaking the surface tension. This is possible because the water, due to surface tension, ert y o6b7;g+gmxerts 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 mass of 30.j7()/by. x ivsd a0zsg0 g. What is its density?) a7y s.xv0is/jgbz (d

  A liquid has a specific gravity of 0.357. What is its den-bv.fiv g5( t2l)exed sity?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cssk *7 -6 v fsk6dp+4jdx+wtftm x 4.00 cm. What is the maximum pressure it can exe 4dsk6w +fp f-ttxj*s v7sk+6drt on a horizontal surface?

  A person weighing 900 N i had 9.ss)f(f ,xj,ucwkf9 6sss standing 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 +aexh/2u7qm xjvd y,1a depth of 120.0 m in th+juxya 1q/7mvhdxe ,2 e ocean?

  A circular window of 30 cm diameter in a submarine can withstand a maximum n 96-i8lov t*;o ruixmforce ofouinvr t9x-6mo ; l*i8 $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure if thebo . v:ut gplmut8hs- dq6(51a absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below . k5fn,ng+k, 1defek bthe surface of sea? (The density of seawater,1e+d, kknf k.5 fbnge is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below q/u nv 26f(pjvlm)q1+0(pu*q gyza ewva,e.kthe surface of sea? (The density of seawgzvuq10(y. m q, a)*kaefj ln p(+vpew/ u2vq6ater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. ae6 od,qvz soo/n. 4w5 The small piston has ara.de/n6 4w so,ovoq z5ea $2.0 \; cm^{2}$. 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 an8xr1v2elqx4+,7 )ry6l mg3 y byhou xld the large piston has a radius of 15 cm. What form, 2oy1x84ulyr xe76vlxhrg3yb l )+qce 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 iskc ibr zw n7y)eb+wvw4o3v2-4 to be lifted by a 25 cm diameter hydraulic piston. What force needs to be appliedbnv7bv kwey342- co+ww4 )zi r to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a w8bnwgdrg 6tu2b;zc9egy/h,vbn4h6 p45f3 fdiameter of 8.0 cm, and its large piston has a diameter of 40 cm. bh8p,/ 634b2rnng; tg 4bdfv9cf y eh6wzu5wgThe 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 40i 0bylkyl2:mxk*/ kjswvp- zl6. 1+ n q*kc-uk N in air and 30 N in water. What is the buoyant force of ty2l 06l+liyn*p:k.*qzkuk j-k1/x kswb -mc vhe water?

  An object has a voluvwyn v(b+9ho0 me 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 submerged .m p; ;lmz1fbyin wat; . f1py;mzblmer. What is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gol6 (wvn7b i9ixw6xyv8j d is $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (densitu6 ie69to*mtf-a rp91dp8nwx6 wfz 7ny = $7.8 \times 10^3 \; kg/m^{3}$) 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 wh-/9p o s yg7muidi0)n2o+ dxwpbr58s:it. iaien it is in air and 6.86 N when it is immersed in water. What is the spo -:8bst2sid.+ gn xiip70 dp5a o/ uirim9y)wecific gravity of the object?

  A container of water is placed on a scale, and the scalzn3*)+q r k1e s1hr1.k at+cmwm lndn*k );qloe reads 120 g. Now a 20-g piece of copper (specific gravi1azm n tc1o3)hqm dr*+kk rn) ;*es lkw+1n.lqty = 8.9) is suspended 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 a maszs, 87ytkbu5is 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 barely floan jycct ;c: (q.;z: ;z leqasijc8/4ddt in wacn8cq(c tl zs;djyaj/ z .ce ;4:;:idqter. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50*yg1,k h.5ywxh3hup6y bg7n s m high. How many kilograms of mass can be loaded ony *xhhwb7pyuh,n5g63k y.gs1 to 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. The wnhpr tf0w( ohfyhf9a4;q38 1k( yj4lmeight of the displaced water is 2000 N. yo0;3n fl f (t4( hq4ywpmh 198arhjkfWhat is the weight of the object?

  A solid object floats in wa t29 -bxed wuc3er/*xkter with three-fourths of its volume beneath the surface. What is the object's den 2e/ uxd*39bc-wtkerx sity?

  A 200-N object floats with three-foue tv;l3c4vyr5c;2 vudf w*p6prths of its volume beneath the surface of the water. Whatpc4curftw 3;* vvyld;26e5pv is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. Wc. urp4b1 pt9oedc2j8 o7- w6ylrue7mhat is the minimum area of the floe that will just support the bear in rcw16eboe-7ur t u.mo27 ppy89lcdj4 saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.v7m ee2q)5yu 2c d f)4jm*aezn0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diais nxw6r pe6 3u: +p:vz,ar t5m:ri(wvmeter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the vi6+i (p63:n5: s:prrwa xzwrt, meuvvelocity in this restriction?

  Water flows at 12 m/s in a horizontal pipa dq5/k4vf(dw e 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 sddo7r; mh-)cfpat. 8- -1l3 wl katienupply a drinking fountain with 300 kPa, if the f hi3l 7a c)tdnplfrwt-k. 1--;damo8eountain is 30.0 m above the pump?

  A hole of radius 1.0 mm.n,h2 r77 w wh40apwpee nos,x occurs in the bottom of a water storage tank that holds water a r20eehn,n 4awoh 7xpw sp7.w,t a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizont ,s3+w(z yvsev,us.a5thp l0cal 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 to pour 4.qowhu3p8bwz ht / 021s0 L of oil through a funnel with a neck 15 cm long andw1ohp sthu30zw bq8 2/ 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 build-up of fylw s; ,usa8r e j9nebwt3*sh:gbv1- 3atty tissue on the wall of an artery decreased the radi e*tww3 9sasg ,ne83 ys1bj:;bhlv-ruus by 10%. 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 water. Tube A hatjuem+o4.(u y*df2c j31.a,fpxbxq m s twice the diameter of tube B. If water rises 24 cm in tu u3 .otfxfjpj,(m4xdyc1q2m+.abe * ube 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 rz;gvo2.0dplz0g9my a capillary tube of diameter 12; pgdgl 9o.zm0 z0ryv.2 mm?

  232

  To what height would w ya+s1zvmuwk1-j*h7) ,bj wt water at 0 degree Celsius rise in a glass capillary tube wi-zvsbk7mh)tw1 j + ,j1wyawu*th a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and thq, x*:i8**xqwri zhcv e 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 s*hii xvwx qz:qc*8r*,oap. 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 mt7u6e:sa;n2x/4aq p nynq1wf with a soap film formed within its confined 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?y:n w ;4fxs nq q7npa6e1/2atu

  An adjustable rectanguleb5r-ia7x )v +m.-7* tqnfhk 4mm vrwdar frame has length 12 cm and width 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 wmx-r7fi4na he+7 k5r.t)-b* qvdmv madjustable long side so that the frame is 12 cm square?