The three common phases of m (x1l8 bs8u+fnucry ;batter are

  Density is

  Substance A has a densiwa:eb+xbsrr gt )86y:,, ju.y lr fgx-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 unit of pr(o*ay-w8h58ot sa i c)bj js0yessure?

  Consider three drinkingfyyweiko(c ,1p c*e9/ 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 wa1eekfyp /,y 9i w(coc*ter 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 t -s 2l-acmv(i+eo8jrinside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure at thetof-fre) t5 ckhk:6ay3f ; 2yg bottom of a pool?o;e ftcyf)26kfrya: tkg - 35h

  You are originally 1.0 m beneath the surfaca:xg r.d kejogtf4 t q/k+qu0o 37djgh7dr);1e of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute prf7oo / g7+ktu1j)q;d :3grk 4ehrxat .gddqj0essure on you?

State Pascal's principl9gad + nmqw9 2k ks,)m.)e,q ejtc)byee.

State Archimedes' prio3,+ hoxr3p zjnciple.

  $50 \; cm^{3}$ 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 watjxv f.zw:cp(ta5 z59wer of constant density, what happens to the buoyant force on izf :jcz5wp( t w5v9ax.t?

  Salt water has greater density thai 1c./zx haszec*r; +yn fresh water. A boat floats in both fresh water and in salt wat1. es+zaczxy r*;ch/ier. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship flb5 .fqd(g.ev7l7pf yhoats in both fresh water and salt water.b.f qhp(y. e57gl 7dvf 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 the buovmdlj305(: 6 m+aj5jcr 7utri c h1aifyant force on the ball gjca3rfrj5ma mihlvu6ti 0 j:5 (d7c+1reater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg xcvc.*shf 5a* piece of lead. Which has thc*f v*scx.h5ae greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bnb8w d-:w/p7 x-szuhiathtub. If the iron is removed from the wood, what happens to the watb/ hs7inw-wz 8 -udxp:er level in the tub?

  A piece of wood is floating in a bathtub. A second pig+x ivlc ac*e5+8:vmj ece 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 happ: lc*5c x+gev+ija8 mvens to the water level in the tub?

  Water flows through a pipe. The diametnfggqw(a/wvt. 7o 5/fer of the pipe at point B is larger than at point A. Where is the speed of the water greatenf.f5wa (/gwvog/ tq 7r?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twi3 vddqzd/r: gd0./zl5zg nmz /ce its original radius, what isdldg z/d:3z v0r// 5qgnz dz.m the flow speed in the wider section?

  An ideal fluid flows at 12 m :r:cb:zn1 tul/s in a horizontal pipe. If the pipe narrows to half its original radius, what is the flow speen:r tzbul:c:1d in the narrower section?

State Bernoulli's princig412dwup . oxowq:dzz,a wj67 ple.

  Which one of the following is associated witheb-sc1noo* 2+h2 ohimc 0 vr+a the law of conservation of energy in fluid om+ +* ciobrv1se2ho2 ac0hn-s?

  As the speed of a moving fluid increases, the pressur/8 czro blm)7brlcw*1e in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger tha .v0/efk jou3gj( n8ppn at point A. Where is the wgk.v (fo8jp/nujpe0 3 ater pressure greatest?

  When you blow some a4 r.98gvnfv,q( ) p8lszp koemp9lf m1mfd )u/ir above a paper strip, the paper rises. This is because

  A sky diver falls through the awo sbm 7av6v,/ir at terminal velocity. The force of air resistance on him i/sv6a,bvwm 7 os

  Two Styrofoam balls, of radii R and 2R, are re05 p1stlsany,:ie2u:ald1l ij(utw 3 obn ,6nleased simultaneously from a tall tower. Which will rel0l,16 bi wya l:jnt :uie1n3(nt2d paso,su5ach the ground first?

  When a small spherical rock of radius rtwbp +nrm/;n+ miu; iom98i q( falls through water, it experiences a drammiu/onpt;i8+in (w;r+q m9bg 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 t2c1s 82m+ji 4 jevwdc39rm uluhrough a narrow pipe? That is, if you made a 10% change in each of thusvcm1 82li rjj de9c+342muw e quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has tmys2k9 joy l2h6pv3 x+wice 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 inlomv h2ysj6+ 2k9p3yx pipe B?

  Two horizontal pipes haveobp lov8l2ohe 7 yo9,9 the same diameter, but pipe B 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 pipe B is Q, what is the flo ,ovb 789lploo yhoe29w rate in pipe A?

  When soup gets cold, it often tok f/4l )ja g(zajm1(iastes greasy. This "greasy" taste seems to be assa 1/a)4fo gkm((ljjzi ociated with oil spreading out all over 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 i0ph 0: n5 :j(n(vvpcupnfb:vq s placed in water, the water rises to a height h. If the diameteb0n0f q(:j vu(vpn nphp: vc:5r were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufn+)f/c,c b rvz40bms xficiently lightweight that they can run on top of water without breaking tz/fbx4+0)r bvscnc,mhe 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 is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are suff6q mio36ge;prwh wpl;sajf(8 ,1r(rkiciently lightweight that they can rjppkr, qolf6;h1w(agr3 6er8 is;w(m un 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 b -2,38hfo6 ddsq iekkpw0kh1j pz,- e2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What -qw0hhkj23 6b 1 -fi,doskd8,pkepze is its density?

  A liquid has a specific gravity of 0.357. What is its de1rj3jpqda 2o1; brns1 nsity?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm2d23n9qaagwj.q ) nex. What is the maximum pressure it can exert on a horw3xdaq 22n)qn 9je.ga izontal surface?

  A person weighing 900 N svl n+ar sh*)m83a 7q)l6evwhis standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a s 4zmkkxokp)9aa l( z,y* w7kr9ubmarine withstand at a depth of 120.0 m in the oce9kkr w,9zkpaz(k4lx o ma*7y) an?

  A circular window of 30 o;6 rh7;qoxx/ 5f4h+wi0fsfozhio 7kcm diameter in a submarine can withstand a maximum force of fohf ihqk4 0oohs7x;zi5 f+w ;xro/67$5.20 \times 10^{5} \; N$. 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 absolute pressure is4zlkau-jg- (((k) +as;3 p hvvtomgzg 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surfw j )kft9p 8r89mdvl6.dtmg-)1mgprm ace of sea? (The density of seawater -jg6m rm91 g ldmtwvfpm8k.9)d) t8pris $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pre heyh0o-tyupj 3-9je+f +a9wx ssure at a location 15.0 m below the surface of sea? (The density of seawater is fe++hwxo-t 3ea j uy-jyp909h$1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The small pist1hv:hz agg*7z on hzz*a1 ghv:7 ghas 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 pih cw(eit:y4u z9:p zb,ston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the sw:ye(p i4z:ctzh, 9ubmall piston in order to lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hytds (wo .iqu9k(ycu;67 y,+qwobln y03m,tfjdraulic piston. What force needs to be applied to a 5.0 cm diameter piso., t;u d sqkib0y(lu cn3y,tq(j mwf+y79wo6 ton to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, e9l8 9*rqk9wb,aoqee wbr *m;and its large piston has a dqe ,b km9rww;eel9* 9oar*bq8iameter of 40 cm. The 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 40 N in a/shc* z-j+e ,d9oma wjir and 30 N in water. What is the buoyant force ofz+, -je9/oahcjmw*d s the water?

  An object has a volume ofh3huu/c dk0ikxxe:+x0k*;e wtq x87 d $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder o+v qkkp)rz4j 14l sx /+xxkdn w2cj8+mf solid iron is supported by a string while submerged in water. What is the tension in the string? (The spec1+k4 4l qvkpx )wzrxk/j+ sn28dmjx +cific gravity of iron is 7.86.)

  If the density of gold3 zq9-ri5cg dg 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 suvk*c v8e9iib6bmarine (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 air an kc fcsm(.fgp( a.wyxw6+x2q7d 6.86 N when it is immersed in water. Wx.fy.g +xkpw2cc(am6 qwsf7(hat is the specific gravity of the object?

  A container of water is placed on a scale, and the scal2q.:*r6s1w emmgzuc r ir( k7sd6o1hze reads 120 g. Now a 20-g piece okmmurq1wh :s67c og e s6rzr*d.1zi2(f copper (specific 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 mas)(9d6rbhnnaj,:g q+jb 4 u xss. 7igxz)u- cvds 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 *y s tmhu9;d4 jd5xtd. kg0)fgbarely float in water. Wfg s0 4j5tdgx t 9ymd);h*ukd.hat is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 7 nl vj)k/hu8 cu9qpn-1.0 m wide, and 0.50 m high. How many kilogramuk-v u9n7q/h8j pc)n ls 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 it:j24dw st6 wczs volume beneath the surface of the water. The weight of the displaced water is t czw:6 sd2j4w2000 N. What is the weight of the object?

  A solid object floats in watefrz:y8q r 8emav:z45;zp 8hitr with three-fourths of its volume beneath the surface. What is the object's density?fzv 5pmq88e4 8ta zr; iry:hz:

  A 200-N object floats with three-fourths of its voa2-um7n,,zqo0zs08oid ; g um q;kl zilume beneath the surface of the w2 m8 kqul;d m asz0-zn,oqoui7 0,z;giater. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on anfl5it4bwvp+ 7nx-zg , ice floe 100 cm thick. What is the minimum area of the floe that will just suppo4b+nxgp,it lvfzw -57rt the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameterte-d;i4de i4 h(g48rlhle*tbgb) s +h 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter p/gl0xob7q 9i sipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the lin0g9os bx 7lqi/e. What is the velocity in this restriction?

  Water flows at 12 m/s xft;s/-a j+v +efqa5g -yj:jl*4 rwmz in a horizontal pipe 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 supply an 8 8y6po-+b7 qeniw2dfh /uwd drinking fountain with 300 kPa, h2dnw 7q+dn 8o6yi/fwbpe u-8if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a wk88lhhq y;*nwater storage tank that holds water at a depth of 15 m. At what rate will water flow out of the hole? k*hh; y8q8lnw

  Water flows through a horizontal pipe o--- wj)3 tx kc6o.ybriq chcr(f 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 viscrbwe idr(cb77a (4qhxz.n* c.osity of 0.20 Pa-s. How long would 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 ner .rd( h7(nbczxieqbwc*74.a ck, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall a2 ,b qq.*th- xuwc:mpkmh)m7of an artery decreased the radius by 10%. By how much would the pressure provided by thu2hc) hqk-ptx7w , m qmb.*:ame heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the diameter las4 +kci;-yyof tube B. If water rises 24 cm in tube A, how high will i-iclyay+ 4k; st rise in tube B?

  The surface tension of water is 0.073 N/m.:gdod/o n wf0zsua/8ar*)hj0 How high will water rise in a capillary tube of diameter 1d:r 0woa/hu )azgnjf8o* / 0ds.2 mm?

  232

  To what height would water at 0;n5l)nl nep: f-3l7yjv3ujm b degree Celsius rise in a glass capillary tube with a diameter353-l j e;n7 jbm:vflnpyl )nu of
0.50 mm?

  A narrow tube is placed vertically in ah.do o t,/z0xt pan of water, and the water rises in the tube to 4.0 cm above t./ ,d o0hzttxohe 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 length 0.120 m and width 0.69qeghf r w(5:m00 m with a soap film formed withigqhf(m5w:e r9n 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 12 cm and wie8x8;z4.* 6d nq3zed xjfufb3o.zyh rdth 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* ;z. 46er u8yjfdxob3.z hnxd8 3fzeq side so that the frame is 12 cm square?