The three common phases of ma0ssqj8a/5+dd) xbc bhtter are

  Density is

  Substance A has a density;efou f ,b2xowrt,j).bj+qu o1. j8 xz 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 preswl-ks ;ul8 q33z c;jbzsure?

  Consider three drinking glasses. All three have the same area b,pss dwzrc )u5:gtz3-.y5r c)qsu9txase, 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 bos5-p trqu 5z. t,sg3c9dw)z: scxryu)ttom, 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 outside a tire cal8 nvjud /lethl113i ;bled?

  When atmospheric pressure changes, what oquhkstcx)l 6h k3.4y 7 m,(kql:vm e-happens to the absolute pressure at the bq7mu(-lx l 46oykk q,v)s:echk t3mh.ottom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 x. ky)7rh +r5bqmjhfg/9)dl gm ben7rlh))r +bfx y 9mj.qhgdg 5/keath the surface, what happens to the absolute pressure on you?

State Pascal's princzsmxm qh7*:o; 5u,uh-9 wr bnxiple.

State Archimedes' principle.-gec, 1u0shsa -rsd 0c

  $50 \; cm^{3}$ 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 g;2: jk.nqg;y)yck6kplyqx6;no fg6 water of constant density, what happens to the buoyant foqy;n; k;py:gln x6 kgkj).q6g62yf corce on it?

  Salt water has greater density than fresh water. A boath d ))ma9hg-gx floats in both fresh water and in salt water. Where is the buoyant force greater ox)d -mgah9gh) n the boat?

  Salt water is more dense than fresh water. A ship floats in bo9fkim23 myn( hth fresh water and saltnk9m(3iyh2 m f 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.xu*8v4q lwj (h Where is the buoyant fox(qu4lhv w *8jrce on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kguey/7npcd 9.n rb 4k4t piece of lead. Which htc 4e4u7.n9y/rkpbnd as the greater buoyant force on it?

  A piece of iron rests on top ofz c/ pl49vu1ijw*(r )erk x:m t;fx9pz a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens :(zm pp*cil fuk4zt9xrv9 ;1xrj / w)eto the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of ,h7f, s- ,qomxkx /tykwood sits on top of the first piece, and does not touch the water. If the top piece is tko7-hq/ kf tm,y,x, sxaken off and placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diam/ wn3 .*:n;gp cedqtudeter of the pipe at point B is larger than at point A. Where is tdtq3.c u/nngp : ed*;whe speed of the water greater?

  An ideal fluid flows at 12 m/s in apm v) sf) 2xi0l/w9mej horizontal pipe. If the pipe widens to twice its original radius, wh pfv eml90x /2)wj)smiat is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pip8aj ;12eio tqa3-fnp5q4 /adsgvjt 6ke. If the pipe narrows to half its orig35-8/gaq2v ndj tepo ;f6k ait1s ja4qinal radius, what is the flow speed in the narrower section?

State Bernoulli's principle.(j iher(lzl+d)z+.xm

  Which one of the following is associat vv5+1 m:izxzaed with the law of conservation of energy in fluidsmvzv:1 xz+a 5i?

  As the speed of a moving fluid increases, ttshge* ,ouq ,4he pressure in the fluid

  Water flows through a pipe. The diameter of the pipe avux*1f fa,y;ow;b( zq t point B is larger than at point A. Where is the watwvbxz1 f;,;a( * qoyufer pressure greatest?

  When you blow some air above a paper strip, the papr,.r9tj:qhh)o2 gapvs yo0 4)tm ,cxqer rises. This is because

  A sky diver falls througc-caot1 ez7g -h the air at terminal velocity. The force of air resistanat- cce7zog -1ce on him is

  Two Styrofoam balls, of radii R and 2R, are released simutpjfs e6 n0 *rd)t2aawg(, 2y.3tldemltaneously from a tall tower. Which will reach the grouwad tr2e0a)6j3g m. e*,(nd pytltf2s nd first?

  When a small spherical rock of radius lu11(j 6j)x0hxqn uohr falls through water, it experiences a drag forcehu6oj l(xhq1j1un )0x $F=arv$, 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 througi )-uvat(y b 0+sieos4h a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest a)vs(su-eoy+4i0b tichange in the flow rate?

  Two horizontal pipes are the 6v2lnh 5y ygtyg ci/-5same length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both p5 l2y tcnihg-6/5yygvipes, 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 same diameter, but pipe B is twice afh )z5ard/v 1os 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 pipe B is Q, what isadz)5fv ro 1/h the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. wre0ufphh m ga:/(r3 rjs g/svdp:zr1v2;;m+This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little1rfu/h2d ppvgr em30+z:;sr hsw g(/ ra ;mvj: globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water ril +f6adq ijbj q32a um-kz;:chj (;u/rses to a height h. If the diameter were half as great, how high would the waterl:3f /i+jdq;jc z;(jma-u26uhq a rb k rise?

  Certain insects, such as the water bug, are suw nqbe l9o2(g,fficiently lightweight that they can run on top of water without breaking the 9(,lwgeqb o2nsurface 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 twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweqvn)uy2)tj z(/.kt0 k 5lfc qcight 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 Butvkj 05.)tf /2)(lczq nqkcy 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 4.00z,x 2xy (pn t(y8wo:oa cm has a mass of 30.0 g. What is itsytw( p 2oz8,nyx:( oax density?

  A liquid has a specific groaf(ic82xz v0 avity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is thq alo57vv5*,aw+w3c7 g9hzfo8fq mn se maximum pressure iz77*, wm ag q 8fa wofhsv+5qon9c5v3lt can exert on a horizontal surface?

  A person weighing 900 N is standing on sno *//6qxq juujpwshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must aobaxis*) hwn5o ; x:fc3a,p* p submarine withstand at a depth of 120.0 m in the oce*ch3 pxifowpsb* a5:;,x n o)aan?

  A circular window of 30 cm diameter in a submari 3ms1ije ntueq,id 75 q:igbcsrq,4- 9ne can withstand a maximum force9uet q3bren m:s sid7ii,4gjc- 5 1qq, 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 ifn jnu-3;w ms:btkf,*w the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? v6,xnz xd g:t6( b9vta9plp j*(The density of seawater is t n*69tlz9,pdjpg6:xavbvx ( $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the s+fv 4)/+r7gzfxii fgru f8s,nurface of sea? (The density of seg n rvxgs u)/f ffr4+i87ifz+,awater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. t* j0-8vgu d0aq.j atuThe small piston0uvg-j q.aa8 ujdt0t* has 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 of 5nop.5ykr im) t us,,v+.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 20,000 N on ,kyos.5vni t)u rpm+, the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic r(t bepjb81h*cjfd+8z swx+9 piston. What force needs to be applied to a 5.0 cs c*jbpwe1h+ td(8+z9j8 rbxfm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diamek d*.ubhjd;b8 ter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift r. *hjdu8bbd;k aises 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. Whk 1 dex1av3+ppat is the buoyant force of the wate1v1aep+kd3px r?

  An object has a volume or m 0e a.tys7nb13tv-lai tf xq,b71yp(axs+-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 supported by a string while submerged in wa(z.) q(vuz zyk+ajk7 4 kti9tater. What is the tension in the(kta(.zzk97 zijy4qu+k t )va string? (The specific gravity of iron is 7.86.)

  If the density of goldeb4j* we+64 h8lh )wfw;oam g6ytr qi86 a1tpp 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 (db+.(ywdue p12qzi sy4ensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 isbdqj2nal -z23 d6 0thu immersed in water. What is the speund2tdlz-6 2b 0hj3aqcific gravity of the object?

  A container of water is pla1l efs1l 1sjr:ced on a scale, and the scale reads 120 g. Now a 20-g piece of copper (1s1fs :1lr ejlspecific gravity = 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 mass of 1.0wdd (;ep 7+7v 4yyxeat 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 float ina/rq2w.jt0 2/bn o oib water. What is its masswbb n02rio2j/t / qoa.?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, an /lexsp7w ;4e8 vgs d.ebq(uwgx 76ir/d 0.50 m high. How many kilograms of mass can be loaded onto the box before it sss4e 7wixl(vueqgr de /;.876pwx/g binks 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 hal zwbv:- 2frvz2f its volume beneath the surface of the water. The weight of the displaced water is 2000 vzfzv- 2 2w:brN. What is the weight of the object?

  A solid object floats in water with three-fourths of ijk9p e c08qchsta0o*03s si9its volume beneath the surfacehst0*c 9i9s0j sqa 8oe p0i3ck. What is the object's density?

  A 200-N object floats wi0tus4)k d sr.fth three-fourths of its volume beneath the surface of the water. What is the buoyant force on .t4dkru s0s) fthe object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm th96w-pmlbyc 1rmu:i q1ick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.99-pm16ryqm lbw uci1:8.

  Liquid flows through a pipe of diameter 3.0 cm at 6zs qi0a+ rg7y2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. xv7 t *t-gxcv(There is a 2.0 cm diameter restriction in the line. Whatvt( -vxxg*c7 t is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a ptiaq3oa+h2zh/2.zjv /mf 8 i wressure 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 toug(r-t 4 cxd51jy6 3b k/szvbd supply a drinking fountain with 300 kPa, if the fountain is 30.0 zjkdsd u53c y(- 4/rt1xb6bvgm above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a w;kk0df5cvk5k ater storage tank that holds water at a depth of 15 m. At what rate will water flow out of the holef;dc55k 0k vkk?

  Water flows through a horizontal pipe of cross-14shqj xk) zeg 30.(luutjv4ssectional 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 8njn0y0v( t v6 sw5ivn4.0 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 a5n0j( 6ivntyn8vvsw 0bove 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 ;vxpf/h1+ 4f1n6 p;etvk zmusthe radius by 10%. By how much would the pressure provided by the heart have to be incrhfxf6 /z1k ep;;pv ustm +4n1veased to maintain a constant blood flow?

  Two narrow tubes are pl(6hab xf,ay0 naced in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high wilf6ybha( x,a 0nl it rise in tube B?

  The surface tension of waterss1)5w ejw a1w is 0.073 N/m. How high will water rise in a capillary tube)w5j wea1w1ss of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary ta3j)ao) z974vr 5 ux7fe41qntd rkwo mube with a diar 94a3 r 51 daox4k)qwo ntmujz7)ef7vmeter of
0.50 mm?

  A narrow tube is placed vertically in a pan of wate5p+9sam own( er, and the water rises in the tube to 4.0 cm above the leve(mw+95ne spoal 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 height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and wi8zmm r s: tm;(qrusafpz04. f)dth 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force d ;pu8rts m.zzmr4s)m( fq:0fa oes the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, ad qsp2n/cl-rqywp t+ (n i71.gnd is built in such a way that one of the longer sides can be moved without bursting the s2wi+g.ppscyqnl rn/( d- 1qt7oap 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?