The three common phases o4 2r5hnx(knub1r 0 cfif matter are

  Density is

  Substance A has a density w(*lcyh 47z;ftwaj /hl,4vl jof $3.0 \; g/cm^{3}$ 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 5b 9fjnaf9 j.sis not a unit of pressure?

  Consider three drinking glasses. All three have the same area b)kayt y fm79q/ase, 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, a)ya7tqmkf /9ynd 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 inside and outsimi )h5skwo0n9tvs3i5 x6i:s2c gy6 y gde a tire called?

  When atmospheric pressure changes,:o 50( cisvfr/ ewzz5i what happens to the absolute pressure at the bottom of a p5veoiz:wf/ i(0sc r5z ool?

  You are originally 1.0 m beneath the surface of a pool. If 5y8erb5m(sq zyou dive to 2.0 m beneath the surface, what happens to the absol8 5reb( zqys5mute pressure on you?

State Pascal's principle.i swgx3 /uj5/rjl +fed9 /a-oq

State Archimedes' princimaxnw 1ze 8hfn*v( 4b;ple.

  $50 \; cm^{3}$ 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 densitwtmixa(7 +;ll t)(5x h/zdhi xy, what happens to the bz5ttx; )la i himd/x(x+h(wl7uoyant force on it?

  Salt water has greater density than fresh w(:ks29;xgwo ) g2jzc daeen+ yater. A boat floats in both fresh water and in salt water.ng(os2j;c w+:z )a g xyek2e9d Where is the buoyant force greater on the boat?

  Salt water is more dense than fresum 74;ihw)fszh water. A ship floats in both fresh water and saltu7iszmf w ;)h4 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. Where is4:l1a2k2e qa:3evfvu bx .al;kgt0sh the buoyant force on the ball greavq3l0btk4 u2:;vg. sfe a lek2 ax:1hater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next t:65)g-e:jiync 6 ditylz)eh v0lrj h: o a 10-kg piece -:h)ycy ziird j:v nhge)j l5le:t6 60of lead. Which has the greater buoyant force on it?

  A piece of iron rests tx b9g(cl5jg4on top of a piece of wood floating in a bathtub. If the ir(54x l gj9gtcbon is removed from the wood, what happens to the water level in the tub?

  A piece of wood is flo.0v wlj o lc2bpggn,49ating in a bathtub. A second piece of wood sits on top of the first piece, and does not touch the water. If the top o2g b4cp.0 l,j9lvn gwpiece is taken off and placed in the water, what happens to the water level in the tub?

  Water flows through anrc s8cn0xqj12j mw 14 pipe. The diameter of the pipe at point B is larger than at point A. Where is the speed of the water cm1481jjsn0 nr 2x cqwgreater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pi.g5 5 xc-siychpe widens to twice its original radius, what is the flow speed in the wider syh5c.x-c gi5section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows to half2 2n4nof rtw/e its original radius, what is the flow speed fo4r2wnn et2/ in the narrower section?

State Bernoulli's prbg/8 c:56xe1ba clec4gclql2 inciple.

  Which one of the following is associated with the li ,rczj9l)m7n aw of conservation of energy in fluidni,j7)crz 9mls?

  As the speed of a moving fluid increases, t2hjcwv9hgv ;c p;7ye/he pressure in the fluid

  Water flows through a pipe. The diameter of the 51p8bmk f -m8(fwdnb7vvk ;xr pipe at point B is larger than at point A. Where is the water nvpf; bb8 k-v8m1( mwkfrd57x pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is becausej n;(6x6 sqbzbskj0c e /p02ya

  A sky diver falls through the air at terminal velocity. Th338pnu mh 7i/zf2zy hse force of air resista3ihzs3m n2py 7z/ hfu8nce on him is

  Two Styrofoam balls, of radii R and 2R, are releas u+e6v 9yb,+gzfgan4qed simultaneously from a tall tower. Which wi ze+afvg4 9 ng6y+,qubll reach the ground first?

  When a small spherical rock of radius r falls thwc (.zl 1(k)fgxz s+ztrough water, it experiences a drag force (tkwzcf+zs( )gx.1l z $F=arv$, 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 greatesty .5; +gs3 bhme-fpn+o lay-8hbta7st effect on the flow of fluid through a narrow pipe? That is, if yo3b 8 so5.af +syg ;t7ymnb+p-h-htlaeu made a 10% change in each 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 twice the diameter of(y7g/9ufzvr3 g t9vmj pipe A. Water undergoes viscous flow in both pipes, subject to the sa( 3/ vzvtggr jf79u9ymme 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 longsbfyl 6 zla2fk4n295r as pipe A. Water undergoes viscous flow in both pipes, subject to the snrl9kba2z 45 2ly6ffsame 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 "greasy" taste seems to be a1qx*wj(di;akfr7e b 1ssociated with oil spreading out1a*edb(r 7 k1w qx;fij 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 is placed in water, the water rises to a height h. 9p.v;vf e83 mti(i crxIf the diameter were haipcv(v. 3xt8m rf9ei;lf as great, how high would the water rise?

  Certain insects, such as the water bu:q7+fzig) rj mg, are sufficiently lightweight that they can run on top of water without breaking the surface tension. 7z )mf r:jig+q 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 liq.y5n y hk1t+ eb7sg8vghtweight that they can run on top of water without breaking the sur5 y+nb qtvge.yh1s8k7 face 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 x fz 7kn2iblb- q23rf)b4.00 cm has a mass of 30.0 g. What is its deil23 bf2rk) qfb-z 7bnnsity?

  A liquid has a specific gravity of 0.357. What isk)ash/p xpy7cgn o2y -jb k8 s+18af6g its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.0(dmc p9:sbq8i0 cm. What is the maximum pressure it can exert on a horbpq8:s(i 9dc mizontal surface?

  A person weighing 900 N is standing on:,-inotlajcz0g 4homp t.6uc*sg; (v snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) mu *l0aa5h c,fyci-fueon0a3u3y /m go- st a submarine withstand at a depth of 120.0 m in thc*-af-hingf53eu o, / 0ymou c03ayale ocean?

  A circular window of 30 cm diameter f4m61nfaidcq3 w ;k+f +cg) lbin a submarine can withstand a maximum forceq )+k fw3 c6+;l1bcdmfiga4n f 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 i9gt1 u, kum5fef the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the s7gir1 q f:djz*urface of sea? (The denszf7rq d*1j: igity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m beld1ghaegs ajr2r1969u ow the surface of sea? (The daj116ar rud 9 egh29gsensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small pistolxtquyit,y:/2q/ (g m lvf60s n of a hydraulic machine. The small piston has area vif(ym /s6 yq q/0lx g,utt:2l$2.0 \; cm^{2}$. 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 radi+bu 4 jyt7bt,qus of 5.0 cm and the large piston has a radiu +q 47jt,tubbys of 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 lifted by a 25 cm diameter hydraul)i wuh3d/ndgqk vs/o 37 n3*beic piston. What force needs to be applied to a 5.0 cm diameter piston to accomp)n*o37 d v3enhkwsb 3i/gq/ud lish this?

  The small piston of a hydraulic lift has a diaq dfn .9,djag:meter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raisesa.fg :dnd, jq9 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. Wn-t(tf +3kjq*yvi/ pqhat is the buoyant force of the wn v3(ty-/f*j piq t+kqater?

  An object has a volu2gn6o)p+ cb 7 x1zkfgdme of $4.0 \; m^{3}$ 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 whicv 9q2yd0 l6d ev cgpcfaf1yo47i: e25le submerged in water. What is the tension in the string? (The specific gravite7 vdy54iyfc0c9d :olfv e1pa g2 2qc6y of iron is 7.86.)

  If the density of gold q+iynm8tltv:hd ,( 7*h ozt0b 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 (densityu2pfesi.cilz8,7 uu 0 = $7.8 \times 10^3 \; kg/m^{3}$) 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:j nm9a f8vx6px lgva;w f9e+p/eq:r3 N when it is immersed in water. What is the specific gravity of the o w/panvp+fxl9:;6 rf am:jvq83 eeg9xbject?

  A container of water is placed on a (nd0/uij 1 lf op2iu.uscale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) i(fu1 /j oiul. 0d2nuips 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 13dsedi .ba0c;: (ov uw.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 wil*cbb-yxp0p u c2b7h*o j4g ;uql just barely float in water. What ixbjpp *cqc 7 h2gbb4* ouu0y-;s its mass?

  A rectangular box of negligible mass measures 5.0 pfl4/y+gbf hrj) d( 6xm long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box befrgpd6j (yl+x)/ hb f4fore 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 ot/s9o6z7vv-pssxa br*m7 f8rl0y 1w j f the water. The weight of the displaced water is 2000 N. 7b 6 j1*vt as9mr/l0 8fwvssz7pr-oyx What is the weight of the object?

  A solid object floats in water withdi+szzq /ia w:m/gz at f5,k98srn; f2 three-fourths of its volume beneath the surface. What is the object's /8kd2a :zs m5fz/q ;sz +,riit9 fawngdensity?

  A 200-N object floats with three-fourths of its volume beneath the s;jq 4bpxi4/dm urface of the water. What is t /;4pbmqxid 4jhe buoyant force on the object?

  A polar bear of mass 200 kg stands on aik,:(t;nt tuf n ice floe 100 cm thick. What is the minimum area of the floe that will just support tiukf;(:nt,t t he 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. Find w o)pb9i4sg9 cthe flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm dik2(g b( 8 srs0 z0rc1fxwj9tcmameter restriction in the line. What is the velocity in this(s(b m xz0rr fc0t29jcks8wg1 restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure drjy /bipt3i5 se349 fof $3.0 \times 10^4 \; N/m^2$. 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 with 9g ,xjxj2 2xmmu gcxcd)-8i .x300 kPa,gc jxxjx,282)xd-gmxmu .i 9c if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storagez5 ivv ier2y25 tank that holds water at a depth of rii 5v25zy ev215 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectional ar4x6rzao5txz y, gi /o8ea $10.0 \; cm^{2}$ 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 4upxeelrm jd7ex2/vz+dm5j24 - k dt+ pour 4.0 L of oil through a funnel withe-zmkdt d/+lexxv2+ej j 42d pur7 4m5 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 upper part of the funnel.

  Suppose that the build-up of fatty tissue on the-jwtufjm-or 1irsgi v ( wh3j-u9 s.;+ wall of an artery decreased the radius biju -(u- r j .ht-3osm91sfwgw+i;rjvy 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 water. Tube A has kyjt,op vqe30/-bt ths5- k0gwfs i36twice the diameter of tub3j3k0 s e,5ot60yh twt-ikvsbqpf/g- e B. If water rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.071h9m/w bvn(t*b qsw*z 3 N/m. How high will water rise in a capillarbnmwqs/b*h t*9 (zvw 1y tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a g/ v *u1pzlbcu*lass capillary tube with a diameter o* ucb*lp/uv z1f
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and theraefdu/(cw 1/siigkw/ ;egc: x)u 9e. 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 height of the liquid;9wd1gwca :u( eusg ).er/ix ec //fik column in the tube?

  Consider a rectangular frame of length 0.120 m and wid og).xeh jd5d)xn+t-rq zreq ck,;;/sth 0.600 m with a soap film formed within its confined area. If the surface ten+xergn.xkd- et;) sjq;qrh 5o, z/dc)sion of soapy water is 0.0260 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectanguqvllti; 40 b.9ujnz:alar 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. Soapyl . 4quabz9t nvlj0i;: 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?