The three common phases of matter are8--,lc4yg9) bhtlb0vwz5 fdivx rf i.

  Density is

  Substance A has a dens*g sjpfab 7nd t3l65(rity 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 pressure/ j a,obtg.r;a?

  Consider three drinking glasses. All three have the same area base, 90 kuo)b6 obur,zar5zand all three are filled to the same depth with water. Glaoo ub rkbu65a)9,zz0rss 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 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 ihng, ;cv s mro-wngp0y0)i7deii08 h -nside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolutesxve;i 3j1k59qg (bzp pressure at the bottoe1sqb zg(; 53xjivkp9 m of a pool?

  You are originally 1.0 /+mxv.iuy d8t;- +xe-gu8eh asbj5 h lm beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on yos-/g;eydlhmb.xe 5a-ji8h +u+vu x8tu?

State Pascal's princi;gd2caf qjst/ jr9r0r5vbz) :m eo+/vqui.*wple.

State Archimedes' principley5a r:id3euc2r g 8f;hjfe4t na9u(7n.

  $50 \; cm^{3}$ 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 constant /2v nwyvsq2w* density, what happens to the buoyant forcvq w*/ 2wys2vne on it?

  Salt water has greater e4gsd lxf(-6ad:tg +oq +ui9ldensity than fresh water. A boat floats in both fresh water and : 4tgg+qs f+o9-l( duli6a dexin salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both -,5jn4gbjc;ed luh3x16j qtz fresh water and salt watc,4jtq3e bxhz- nld6 g1j5uj;er. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats iko.01el90 ov dh*c2z1cw chybdiud4-n a pool of mercury. Where is the buoyant force on the ball gz9l* 1ce0ddyci- w bh1v2oku4 doc0h.reater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg :b:dd4f/ pyxi /sz/pf r7pxm 5piece of lead. Which /z7pyd: p/ximd45sb xf /p:rfhas the greater buoyant force on it?

  A piece of iron rests on top of a piecb zh:4m.t rsc6e of wood floating in a bathtub. If the iron is removed from the wood, what happtb.4sch6mzr :ens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood s ut7w+cz1 m+q1ak5v (4o kj;rpgh;fisits on top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, mva pw zkc54ig;rj7u+ +kq1; f1oh(t swhat happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is larger than/2bn 0,ly bluwsornn + 5fpc,t /y4yp9 at point A. Where is t2yly, +tpl4wn ocrb9 fp/ /,yn0b5s unhe speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widenshjk x73,fuzge6w3r m5*rx / iz to twice its original radiusrrwz3fm3 xjkuez5 h*x7i /6g,, what is the flow speed in the wider section?

  An ideal fluid flows at 1s5b6;lumwf/2yk kg k5nw7icn7m 1zbrt: +dr72 m/s in a horizontal pipe. If the pipe narrows to half its original radik:gfc 7rk7b56w7i5k+s u1tyr2b;m ld/ mwz nnus, what is the flow speed in the narrower section?

State Bernoulli's principdkm 2w+o q4;0f 5xu-o9cckpdcle.

  Which one of the following is associated witswpjefzf,.tjxq3 89 v) we1b *h the law of conservation of energy in fluids?v3 j.)xpej*8 zf 19wsfbweq,t

  As the speed of a moving fluid increases, the pressu l-znq,v6 m9 n6ir ita(9ds(vbre in the fluid

  Water flows through a pipe. The diameter of the pipe at k m r8l+ bl +y)tf))g(8dxzzb6wd;rudcagw)/ point B is larger than at point A. Where is the water pressure g)g6rubzx(+8fw)c 8mgat d wd ry/d bz) k;l+l)reatest?

  When you blow some air above a paper strip, the papernj7f o4 t6jfrs/r *m.m (po-0vg8lxbb rises. This is because

  A sky diver falls through the air at terminal velocity. The force of air resistpojiga 0 1ua uq+zx.hmvq2(xj91z(- gance on him i2(q . auz1ga(+9hji u1zjgmpxvq-ox 0s

  Two Styrofoam balls, of radii R and 2R, are released s(8z 1jd gg6iik7b0ji m3rc4icy:efl .imultaneously from a tall tower. Which jzlycf4 7i81grgi6c0 :e(i3 d.k m ijbwill reach the ground first?

  When a small spherical rock of radius r fzr-lsf p:41aqn m *f)lalls through water, it experiences a drag for:rna- pf sl)zqf* 4l1mce $F=arv$, 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 through a narrow pipe? m)1ri cw jps+i(egh5 7That is, if you made a 10% change in each of the quantities below, which would cause th7jihg+ swecm r5 (1)ipe greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diame5rc+n*k+zq p8j shn. zk4z/n tter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference acro4 nntr.+ pzkh8nc5zkszj*q/+ ss 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 ik*sr i(3cy st eju/0d5s twice as long as pipe A. Water undergoes viscous flow in both pipes, subjec(dujkr /* 35ssy c0teit 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 gredp,;8xo a0k u 6vyb2vdasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the xbud2v0p k;68y, advo 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 wat,)wx d.en vsb/ vikw98 x1.vlper rises to a height h. If the diameter were half as great,n1pvxb8.e. ,wd w 9s)ixlv/kv how high would the water rise?

  Certain insects, such as the water bug, are sufficiently light4w qpl)0rhc/xv2 d(n rweight 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 is twice as lo cn4(rv0/ 2r )dhlqxwpng, twice as wide, etc. What is the weight of bug B?

  Certain insects, sucsy o.b1lmxfc 32eh+7ih as the water bug, are sufficiently lightweight 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. Nowc 2s3 eyboi1hxm7. l+f 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 dimensio693ni i9yz q6 buup,gqns 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is q69u6i ygpuz9bi, nq3its density?

  A liquid has a specific* hzh7j7ve,:wlaf oz7 gravity of 0.357. What is its density?

  A brick weighs 50.0 N, an9yc7*b wqf: fb6hw 8hnd measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum p87hff: bqwc 9 yw6h*nbressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snk1a-jz ,ih pe:owshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at auz9m*9vq( v m :xs+mue*uop9im+n d s5 depth of 120.0 m in the ocem59 mx+iszmp:uqd9n9ve* um(*s+vu oan?

  A circular window of 30 cm diameter in a submarlcvnr n+bn+y 78x;c/sine can withstand a maximum force;+cv cn/xn syb7+ r8ln 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 pr4cbg10ro 7cy vessure if the absolute pressure is 300 kPa?

  What is the gauge pressu tkrc3 vg)5 20kv2 hl9u4lnjoure at a location 15.0 m below the surface of sea? (The density ofkcvjlku 3rv2n tu4)ohl0 g925 seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the suhyqz6cds1di6. n 1 tgd/p8p u0rface of sea? (The dens 1dth.zs860iy dq1d cu/gnp6 pity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston oflzqti6yn n +-6 a hydraulic machine. The small pistonily+nn66tq -z 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 8exn+la-qnf )95axzp)n m;dj radius of 5.0 cm and the large piston has a radius of 15 cm. What force muld xqp)nfe-an8m x 5a +)n9j;zst 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 lyxvgmc2 w+5u2ij6-az ifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish thicx2aw6ym-iv jz5 g2u+s?

  The small piston of a hydraulic l)e 14* :cayfwtt wk1ixsr(m3*r q2ndc ift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. Tdeytm )wnc 3qxfi*2:kr*wt( r1s 4ac1 he 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 air and 30 N in water. What is the buoy t7c fo/0ezc2vant force of the ecft2 0o v/zc7water?

  An object has a volume of xou9gsa yum ;6ng:y6 hm66ck;$4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is suppn)pir h k;enk :pxj(4.orted by a string while submerged in water. What is the tension in the string? (The specific gravity of iron is 7.86.)jk4)enp (ni :x h.;rpk

  If the density of gold ibf-yo ( 5h 0fb0ulzbp2s $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (d-fghrt* gketuuj myy4 8jo45zx* 7; s*ensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 is immesp4f(1z 4nhiq m-f ,glrsed in water. What is-h lngq441fzsfp , im( the specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Noc)y wy/)*c.x p-qwvwrw a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and . xrywy vq)pw*-c/cw)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 den. *0p t-s f/gmis/duaksity 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 floatf-qg/wwrw.i bm se y(2d /)z6r in water. What is its msqri/() -2wfgd6.be w ymrwz/ ass?

  A rectangular box of negligiuu (/ nhln)/5ri7c o*iig3wb s/ura q;ble mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box be gn)surr /qw(u/u*/ ;ch iibi5o7 ln3afore 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 b43va,po. nnqqeneath the surface of the water. The weight of the displaced water is 2000 N. What is the o.4 qp anq,n3vweight of the object?

  A solid object floats in water with three-fourths of its ymm ily*x.+w(t 12e, gh lu4gjvolume beneath the surface. What is the ob1m,.g* 4itjwye y2h(l gm+luxject's density?

  A 200-N object floats with three-fourths of its volume bmzkjnl5 (w) ew,zs / j0x0jlm 00hrc4xeneath the surface of the wat xh)jrnwj0 z/l4c(wxm,00 mke lz s50jer. What is the buoyant force on the object?

  A polar bear of mass 200 k+ zo*xk0d iubo qb 29a4prf9:cg stands on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1xuf0q :p2o99+*b4b zcrdaoik .03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s.,a0t )7(yg*b 7jxgmh(9ux1hqgamxsa Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm dia.40 njq(r3e1 wx vjytzmeter restriction in the li3.ejx4 tv0qnwyjrz(1 ne. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure2w4by3c)kn2 vws xo yrrv,48 g 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 x b -ovvvw-ps.yfa g6183s2 mcto supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the pfsm61.v2 pvwbg-3sv yx 8-a ocump?

  A hole of radius 1.0 mm occurs in the bottom of 9o3brnj ri, /owzi hdi 42;ug4a water storage tank that holds water at a depth of 15 m. At what dz43 4oui9 on r,i2hir/j;wgbrate will water flow out of the hole?

  Water flows through -zf8uq)r cjlpu j;rc. )k4 5eza 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 it take to pourw82iwhd9to a2 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 to the uao8t2 w92diw hpper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an ara z2 09bolfb;atery decreased the radius by 10%. By how much would the pressure provide29l; obf bz0aad 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 has twice the d0kwr97e0vc l .j1uk swiameter of tube B. If water rises 24 cm in tube A, how high will it rise in .ws urj 7l0 cwve10k9ktube B?

  The surface tension of water is 0.073 N/m. How high will water rise c22bw )fh b;vqn6 vtrdp1s 7r5in a capillary tube of di72c12sb;vq vrb rpnf )5wd6 thameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rjy2gf+c g) el a()t:;enxn8jeise in a glass capillary tube with a diameter of(lj n eec;a)t:gyeg)f+n8x2j
0.50 mm?

  A narrow tube is placj( orl: lf72k jl 9*yuuycz:c)ui t 5cjj:t()wed vertically in a pan of water, and the water rises in the tube to 4.0 cm above the level of the pan. The surfau7( t):ouuy2c l:5j9:cijk fljr* wtcl)(zy jce 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 fra 9*xgmsq4 uu9/edmgl, me of length 0.120 m and width 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 does the soap film exert on theu4 gl,dsmg9/ mxu*9 qe 0.600 m side?

  An adjustable rectangular fram7 o zr*+/ g- (1qawubggyodks(e 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 filz g woq-s*db/k (u1go(y+r g7am 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?