The three common phases of matter 7bl 4p8w822yila be6: cra tnlare

  Density is

  Substance A has a density o5qu2 h. brtnv8f $3.0 \; g/cm^{3}$ 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 9uek2e-nbs*qm:xa sg3 qci82sni. p 2is not a unit of pressure?

  Consider three drinking gsw2-s) :go fzxlasses. All three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wsz :2-gof s)wxider 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 pressuregv2 lma3k5wdtthjmk 0s s1( 7,s inside and outside a tire called?

  When atmospheric pressure changes, what happens tvstjrquj + *r3+,ey2 so the absolute pressure at the botryr j2+vt*+3,jqs uestom of a pool?

  You are originally 1.0 m beneathtf r*k59m21mvg ht ai: the surface of a pool. If you dive to 2.0 m beneath the surfahvt:r *59 am k1tgi2mfce, what happens to the absolute pressure on you?

State Pascal's principle+pfyiv labh-(k)5v (oe c0w-p.

State Archimedes' pripu33b uo 3/qqknciple.

  $50 \; cm^{3}$ 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 int ulx1:j*zlm ,jo water of constant density, what happens to the bjl zj,u m1lx*:uoyant force on it?

  Salt water has greater densit /eq.uq.-a8d(: e;qx7 ;d5g d ucvwxgu ouei)sy than fresh water. A boat floats in both fresh water and in salt water. Whg quo;d duc eua)u:s.7i w (.ee-q 5q;/8gvxxdere is the buoyant force greater on the boat?

  Salt water is more dense than fa22 3hhoew j5jresh water. A ship floats in both fresh water and salt water. Compared to the fresaoh25jh 3 jw2eh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats iz8 q i: r*i9(dfid/y-*lt usein a pool of mercury. Where is the buoyaiz* f(iy s:u98q*d/dteii-lrnt force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg 12cruxr6 ynt:m 0.(bdl 3 h6)koejbsqpiece of lead. Which has the greater buoyau2 rbx3 k(1d6m0rqn e 6jblt:)sych.ont force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If the d28rteuk 6:h tiron is removed from the wood, what hare6th :d t8u2kppens to the water level in the tub?

  A piece of wood is floating in ay d5xncs*)z2r n::3:6q zjf d/a*jg6lrsmo wm 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 the water, whcsfz x3ny6m) 6*5szgmqw2* dj/:: al:dorrjnat happens to the water level in the tub?

  Water flows through a pipe. br 2hk3r uxpw)4xk :6mThe diameter of the pipe at point B is larger than at point A. Where is the speed of the water greatx )ku:pb2m4hw3rxr 6ker?

  An ideal fluid flows at 12 m/s in a horizontal pip uv-wf q)jus+3e. If the pipe widens to twice its original radius, what is w+3 )f-vsqjuuthe flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontfwtpn2yhd dt+ob4,e3e vk/(1 al pipe. If the pipe narrows to half its original radius, w2v1n e, f4ow+ edyh/p db(3tkthat is the flow speed in the narrower section?

State Bernoulli's princ-fm,vwr mfqz).ehluv+lv+* p1t.i;p iple.

  Which one of the following is associated with the law of conservation of ener9azw-uife75b5s 667 kcjhg0 l-x rifogy in 5gb9-xke-6 6f l ijraf7wzo5usic 07hfluids?

  As the speed of a moving fluid ingd9:3rl i/fv jkg hg20gg5y l)creases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B i ./etla 1hnv65nfbu 4uqvyy-9 s larger than at point A. Where is the water9y5eh.bf/ y v6nv u1aqut-nl4 pressure greatest?

  When you blow some air above a paper strip, the 07v m.xa7fjgk paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of air*l/- iti1(isy: khnr f resistance on him-*rti nh ( iisl:1kyf/ is

  Two Styrofoam balls, of radii R and 2R, are rdkq6 lxe: y/,jeleased simultaneously from a tall tower. Whi 6 dyq/kx:e,ljch will reach the ground first?

  When a small spherical rock of radius r faluhiv r::toc/ c7s *mchj:t .w.ls through water, it experiences a drag force wcc hu:hr*tivosc/.j:.7m:t $F=arv$, 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 ,m:)n dwouepznr / i9y3;u/sq hxo 15won the flow of fluid through a narrow pipe? That is, if you made a 10% change in ep93n /uowz :iy1dom/h xsw,rqe5)n;u ach of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twicpovcy(d ivo.r2q18 6o:, qf eoe the diameter of 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 A is Q, what is the flow rate .o q(1qvo e,r8iy2po dvcf:6o in pipe B?

  Two horizontal pipes have the same diameter, but pipe46pl.(63 u mjfun zkmv B is twice as long as pipe A. Water undergoeujm.u k lpzm4v 66n3(fs 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 g4u ovwu e4j)5ereasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, insteado4e)4uw5u jve of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d smhry63k: q n.na-vi 2is placed in water, the water rises to a height h. If the diameter were half as great, how hih. ny6 v-iq3:a 2rksnmgh would the water rise?

  Certain insects, such as the water bug, are sufficiently lightwq 4 4dc*a6ypbceight 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*644 cpcay bdq 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 lightweight that they cj21r dxf2 gaw.an ru2x2 g.wraj d1fn 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 maximum upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x15 k 0b)xbjdop 4 :l)p9weudow6:vhrl 4.00 cm has a mass of 30.0 g. What isvor)el6bhb :d: pdwlkj)x4w 0 5puo91 its density?

  A liquid has a specific gravity of 0.j s+v)jv,o,w tvjb70a9xx o n-357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.0o*5ll*.m rdez 0 cm. What is the maximum pressurz.m *ol 5d*erle it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. aor0*hif br *4(2a dpzg-ae4 gEach snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a deptrun9k)y 8ap2aok1es9 h of 120.0 m in the ocean e 8raapys1 9un)2kk9o?

  A circular window of 30 cm diameter in a submarine can withstun9+0cvzbxd 6and a maximum force of9bdcz6+0vu nx $5.20 \times 10^{5} \; N$. 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 absolyt uxer/,1 v o8snfb p2te0)9ia6.mugute pressure is 300 kPa?

  What is the gauge pressure at a lorkq 1yh guh8+j+x 1ir4cation 15.0 m below the surface of sea? (The density of +khhqr rg148ujiyx1+ seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at aonbo u-26nee1cz caq8/ 9jors:rl 13se; iv .c location 15.0 m below the surface of sea? (The density o.2l;3b8ena c:c16e/s nreqz - roju i1c9oo vsf seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydrauli3qhza s50ll/uqd7c *2yz l yi1c machine. The small piston has cq*il y7uq/y1 zl s35h2l0adz 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 5.0 pgh-cbs m4p if-)k(h5cm and the large piston has a radius of)-5pg4 -( mbhpfisckh 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 lifte+1zbesc2--m 6nwc/yz aq;g czd by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diamea-z+zze-b;sqg 2/1 mw6cy cncter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large9w)k0 t2cxf2 vb 2fy 8udmy;cp piston has a diameter of 40 cm. The lift raises a load of 15,000 N.fm c280 tk2bx ;wvcpyu)2fyd9
(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 ai-lus*dw a96 0hghb;ljr and 30 N in water. What is the buoyant force of the water?hlbw aj*gl hu-0sd; 69

  An object has a volume mjhr2+ (59tz, zqo )sv gbcm2sof $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supporty8/ at;d7r awoed by a string while submerged in water. What is the tension in thoyw8r 7t;a/d ae string? (The specific gravity of iron is 7.86.)

  If the density of gold ispvu3;(z 3o z 1*qksioa $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (density-g0fdjgf4-zp y2q vu g3s op(. = $7.8 \times 10^3 \; kg/m^{3}$) 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 ai;x q9. kjybe7zr and 6.86 N when it is immersed in water. What is the 9.zk 7 ebq;jxyspecific gravity of the object?

  A container of water is placed on a scall ,07myqgmz /,izvxz8 e, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thz qm yzz/x,7 m,v8li0gread 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 1.0 kg and dt lr2bbkn8m i3 )4.pbqp/dbd9 ensity 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 wilbn)8k(.glog2*n 8e ey equ0lyl just barely float in water. What is its mass?u oykbnl8nqe*gy g2)8el0( e.

  A rectangular box of negligible mass measures 5.0 m long, d9vd2x 4mc0 ht) htu4a1.0 m wide, and 0.50 m high. How m)h m4u9c0t vd2xdta4hany 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 egx;mpag.9d/qcf(41 ev -lfi volume beneath the surface of the water. The weight of the displaced water is 2000 N. What is the weighem1x. dp9lvf4-gqf;a( /igcet of the object?

  A solid object floats in water with three-fourth7 tub61qho k7ls of its volume beneath the surface. What is the obj 7u 17lbkh6qotect's density?

  A 200-N object floats with three ruym;+xp m ijqo, yr6t456/cc-fourths of its volume beneath the surface of the water. What is t4c6/x o mqipyr jtm6rc;+5uy ,he buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thiklblev(txuc1f gc c:4e/c6 c71gb; (sck. What is the minimum area of the floe that will just support the bear in scc/f( gsbxl46;c:kc c v 1bt (egeu7l1altwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/sh386c7cvl1c 3 6fy)g yhttf(kv sfl2k. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0q gn otffq4.hfx+n,8) m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in on)8t,n+x .qgffhq4 f this restriction?

  Water flows at 12 m/s in a horizontal pipe with a2unblzk)x9 wq5 l/g.jczu u85 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 drinking fountain withvda la3zi:)ad w.x/ epf-8rt; 300 k a:-lt)ix8;d/. daf3e arp zvwPa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occur b 7owgatoevuvg52:p+ 42s.ehs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water op +2vesub.v5g:ewo4h7g 2a tflow out of the hole?

  Water flows through a:cgp:nt w3rm0 horizontal 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 hqqwy 51vc2b6d2los2dqy k9+ 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 d qy hk2dvb2qws65o+9yl2qc1 to the upper part of the funnel.

  Suppose that the build-up of fattxn7 )q0-jrftc-7x8hu qs 5ds zy tissue on the wall of an artery decreased the radius j-nq5-sh 70tuq)z7x8x rscfdby 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 watrfs(3 4shn ,bber. Tube A has twice the diameter of tube B. If water rises s4 br(3sb,nf h24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. (gu6;hn5 rbx9r8vx 3;ssjotw How high will water rise in a capillary tube of diameter 1.2 mm5v;hswtu;ro6x (nx83jr sbg9 ?

  232

  To what height would water at 0 degree Celsius rise i; d.af f:1zjuqn a glass capillary tube with azu:daj1 qf.;f diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in egtog-kvmo63c:z0(/ l/yok othe tube to 4.0 cm above ( kz0eloo :-/ykc g/gomv6 3tothe 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 height of the liquid column in the tube?

  Consider a rectangular frame of ;o9czsr/aq0 oev f,-v+aric 6length 0.120 m and width 0.600 m with a soap film formed wi 9oiq,asc -o0rvv+z 6/;facerthin 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?

  An adjustable rectangular frame has length)p,d*)8c l lpcu;*jtfrq4pfy 12 cm and width 5 cm, and is built in such a way thay8pl )ufpd)*rq pjlc* 4tf, ;ct 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?