The three common phases.l hz.veci q12 of matter are

  Density is

  Substance A has a densi)-die dxcxbgf(*amk10/8z lco f1jh/ ty 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 uou6; ,.ao 8qk vk(gyf3usgj7 qnit of pressure?

  Consider three drinki //v5v zi;pfupng glasses. 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 wider at the top than at the bottom, and so holds more water than A. Glass C is narrower at the top than/fp;v5i zp/uv 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 outside a tiru+-j07q, swdfs g9qtc e called?

  When atmospheric pressure changes, what happens to the absoygx .+ jvx//unlute pressure at the bottom of+x /yx.g vujn/ a pool?

  You are originally 1.0 m beneath the surface of a pool. If you /)0hgw()fpuc 1hxkbc dive to 2.0 m beneath the surface, what happens to the absolute prw1(hxbp/gc hcu0 )f) kessure on you?

State Pascal's principn149wa2( hm*l sd u sn8zw3xlxle.

State Archimedes' principle-2tl cxp:xv;u9flz . mitc2 (z.

  $50 \; cm^{3}$ 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 watl0alyz*lse +aoh1. oy9;n 9hder of constant density, what happens to the buo+eo1ds*0y on9lllh 9a;hy.z a yant force on it?

  Salt water has greater density than fresh water. A boat flo9iide65g f) f ph60oa:o 2zsojats in both fresh water and in salt water. Where is the buoyant forcej2s)giif :pz066oa9eood f 5h greater on the boat?

  Salt water is more dense than fresh water. A s)dd d*n7j-kq/ xg3( whx0dgrb4 n+oorhip floats in both fresh water and salt water. Compared g)(r 70 gqx4d-+ krbh3o wo*/n xjndddto 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 mercur,-2 es39 z6tdpqq)e)b(musz h3 iyrlfy. Where is the buoyant force on the3(6z)sd 2t pe3 y-re f umiq),9qlzbsh ball greater?

  A 10-kg piece of alumijbz;q nxd1;m1zvbpv l;f6k7cex w /: (num sits at the bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant z7/n b fvv (;;k1mlpbzxe6d:x ; cq1wjforce on it?

  A piece of iron rests on top of a piece of wood floating in a blh 2m*kj9 .qudathtub. If the iron is removed from the wood, what happens to the water level in tl*9 hk2qjmd.uhe tub?

  A piece of wood is floating in a batty9 5m 5gjvom;htub. 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, what h5 g9v;j ymmot5appens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is larih kh6-:m g0x/txdh;ager than at ph/xh6:;id maxk -0th goint A. Where is the speed of the water greater?

  An ideal fluid flows at 1/:ift ho: bhli1v8qd (d ,y3me2 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed i8 dhv hb:1(etd mif,3: oqyl/in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal px alhvd6iq8/fd0o( .o ipe. If the pipe narrows to half its orig. of h(0qxl8dido6va/inal radius, what is the flow speed in the narrower section?

State Bernoulli's princczvzq /);n 5hbiple.

  Which one of the fol,) 64gcad s q66oqecdw b++jqx8k /zdalowing is associated with the law of conservation of energy in 6bae qs aqw ,gx o6j c/4c6dd8++q)zkdfluids?

  As the speed of a moving fluid increases, the pressure wwps*vr;zu)km+8, crj 0 7mpbin the fluid

  Water flows through a pipe. The prrul 7m(9* t4773ckgz o evrtdiameter of the pipe at point B is larger than at point A. Where is the water pressure gr ml(*tgzcv reo7r3prk749 t7ueatest?

  When you blow some air above a paper strip, the pa2h7 ;al.oyf soper rises. This is because

  A sky diver falls through the air at terminal velocfda /x (*zt0dhxo+- npity. The force of air resistance *o d /(-atdxx pf+n0hzon him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a tallrn)91;xfa4/ d 1aj+vmlh i2ki9xup q w tower. Which will reach the grou awh4+ iaiq v2fn; rdxjup/11klm)9x 9nd first?

  When a small spherical rock of radius r f/xml+g2aj sd(alls through water, it experiences a drgl (/am+s dx2jag 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 fl z3mbr 8h9as k+iis64bow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change inb+mai sk4bh ir8639sz the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice twg:7)b3is,ftg n /qmd3rebp .he diameter of pipe A. Water undergoes viscous flow in both pipes, su)nmrsb , .d g7pw/f3: g3btiqebject 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 as long a* ( (z8a5phu lrokqz+o slj2j2s pipe A. Water undergoes viscous flow in both pipes, subject to the s*rj8z lzu5 2lq(jsa o+o(k 2hpame 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 "grdhy199v v2r y7oj5zfp :b5tyteasy" taste seems to be associated with oil spreading out all over the surface 9tdy5 o:vpfvr1 y t7yjh29bz5of 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 watq*ix o kta4x9.er rises to a height h. If the diaqi.t k 9aox*x4meter were half as great, how high would the water rise?

  Certain insects, such as xq v9)7 ;fj hcfew,7ddthe water bug, are sufficiently lightweight 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 iwe 9jhfdvc, 7xq;7 f)ds twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightwjpdfb0lu )fa*j7f-)teight 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 forc0falft)bp) -jud j *f7e 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 30b(6rm) p5f svw+/fyxw.0 g. What f 6 pr5x/)b+wfys(mwvis its density?

  A liquid has a specific gravitptqhwu n9j: m 1uh/od2l7k.h) y of 0.357. What is its density?

  A brick weighs 50.0 N, and mewt i r74fo/wwud xn 7 hnct10u:5-klp7asures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal suu 7 uwwk4itd7:ch lx71on5w/ pn 0r-tfrface?

  A person weighing 900 N is standing on snowshoqo4nen mv0* 9des. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 120.0 m in5b kr-.d sgxhzo2 nb1ecm154n the oceancmg4nbb 5x .z-soh1 e21n5k dr?

  A circular window of 30 cm diameter in 5a1hy x-tfgn h7c-n rd47rxh2 wx-)mk a submarine can withstand a maximum force of hhcthrx1w)ankxdmf7n 7 r x g5-4-y-2$5.20 \times 10^{5} \; N$. 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,-ux/ *4,n weffy jykr7hv3tbzss s/: absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 a k)4mppv.s 0ph p7d/uicr;8wm below the surface of sea? (The density of seawater ikvsaduw7 4i pp /8mphrc; .p)0s $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pre-i0yc dgsx8o, ssure at a location 15.0 m below the surface of sea? (The density oo-xc8 0 ysdg,if seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the smao a9fy;) )qu 4lemv4rrll piston of a hydraulic machine. The small piston has aremraq49 )e4u yl)f;rov a $2.0 \; cm^{2}$. 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 5fu 6argkylbnzq9/-0)v goc,8.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to r8kon 6l)uc-q/v 9a0f,b gygzlift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic pisto9 y5ldghe9izl i* tw* fx*4)nxn. What force needs to be applied to a 5.0 cm diameter piston to accomplish tx*5 z* 9 f*gwel4di)xynilh9 this?

  The small piston of a hydraulic lift has a diameter of 8.0 xsvg3ewr9 7j; igb2e -cm, and its large piston has a diameter of 40 cm. The lift raises a load 3 g9g7eiws x-rvb j2e;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 b, bs*ht3hwwyo55 p7hy:rpw0 ruoyant force of the waterh7hb0sy5o:, h* wtwpw 3r 5rpy?

  An object has a volume o.y+0,odpmxa35rg g +61zd)sej iza ng 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 whb ziip5*cte: x8)imm1 in0y t6jqfc; 6ile submerged in water. What is the tension in the string? cx n6)fe;:j8 tq*bzm c50i ti6ip1yim(The specific gravity of iron is 7.86.)

  If the density of gold is,d16gidx 6(mg 1bkizn4z* xad $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (den a zr*8plkgh()64k6 tlkpvcl /sity = $7.8 \times 10^3 \; kg/m^{3}$) 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. 3s0c w;tlkw0sjj*b h286 N when it is immersed in water. What is the spwjsh 0wc 3k*;0bj2tslecific gravity of the object?

  A container of water is placed on a scale, and thedu+fa8o di8 z: scale reads 120 g. Now a 20-g piece of copper (specific gravit8fz d:ao+id 8uy = 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 1.0 k m+uphi5 5,ge+)4b*iu r ejviqg 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 dioyn4( *a0)z iflf jf0uameter 2.0 cm will just barely float in water. Wujln*f 0i()zy 4of0afhat is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.b 12:hqaiqz +v8 +fdic b6pr6f50 m high. How many kilograms of mass can be loaded onto the box before af cbdbpq zi+8r+vh216if6q: 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 we sknyr74mid mvx 5-qh(k1u2jf nj g-25i1k-k5s7xg 2difyu hq5nnj rm4 (m2-jvght of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths4a05w 8ild 91ht fgxrl of its volume beneath the surface. What is the object's den9 ti4gw5 al10 8xlfhdrsity?

  A 200-N object floats with threemb 7( /j4kxynj-fourths of its volume beneath the surface of the water. What is the buoyamk(bjx4yn7 j/nt force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What isz gqzge t(wg7p(:x**dw z.td3 the minimum area of the floe thaz3pw:ggzwdg* 7 dx(( zq.ett *t 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 cm at 2.0 m/s. Findej;/gggc emo8t6* ,xp the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There5oh 5 tr5b ga /tnkyd ij*g)(c:/jw0ic is a 2.0 cm diameter restriction in the line. What is the velocity in this rehkyr5j5( 5)w:/ iigg b*jcatt/o 0ndcstriction?

  Water flows at 12 m/s in a horizontal pip(+8v tqo waa)x)p) drde 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(okj9 v rgel.2 a pump to supply a drinking fountain with 300 kPa, if thevrk le.2og(j9 fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tan + g78vr.3iw9jg ilpkuk that holds water at a pw8iuri93vgl+7k j . gdepth of 15 m. At what rate will water flow out of the hole?

  Water flows through a h3idbh; i : b7/c8bvztoorizontal 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 wd,,/**(h-oybs)xkc fp-,c scjv bbuof 0.20 Pa-s. How long would it take to pour 4.0 L of oil through a funnel with a neck 15 cm losjk/-bs*vdw,b y)-bcchx* f,, upo( cng 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 funnel.

  Suppose that the build-up of fatty tissue on the wall of an artery decreasedcyn i3m6+ nk3t the radius by 10%.tyn+ n 33k6cim By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are plka 0rld.cj 6ix:ki:j f11sil )aced in a pan of water. Tube A has twice the diameter of tube B. If watea: ijik1 ld1)ls6i.c j: rx0kfr rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How highafcpfx0 ;8)pl will water rise in a capillary t;l) p p8xacff0ube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise inhl +m2 .e.rtxr a glass capillary tube with a mh.e+tr .l2xrdiameter of
0.50 mm?

  A narrow tube is placed vertiu 8338 lk ey+6tg.eckms napbwsu.h,8cally 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 heis 8 hpamckse.e +l3tg.,3uk8w nyub86ght of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a soa0/1vuvmrb/ qbp fil rbv/ub0qvm1/ m 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?

  An adjustable rectangulareig6l+bb xmg: 9:c5ly s ./dkq 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 adjustable long side so that the frame is 12 ebl+igm:x6:c 9b/ 5gdl yskq.cm square?