The three common phases of matter are l,,h .6eeh7hnyf p)rn

  Density is

  Substance A has a density ofiftku k77b7 z*qf:i 9ohua8)a $3.0 \; g/cm^{3}$ 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 idiy7t 5px wg8/s not a unit of pressure?

  Consider three drinking glasses. b mxdk 43e9bcm(a *c;vAll 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;k (vxm3db4mc*c abe9 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 ouk,k6 n oe 5nqpq.b:ow9tside a tire called?

  When atmospheric pressure changes, se3ztnz2 n4k3 what happens to the absolute pressure at the bottom ofne kz 3tns3z24 a pool?

  You are originally 1.0 m beneath the surface of a po o gqyp*st mj j dz+01w8r9h29h5rd+xbol. If you dive to 2.0 m beneath the surface, what happens to the absolute pressurxgz 8ddj soh9 +r1052tbym rhpj+*q9we on you?

State Pascal's princ-s. ;tm q7w 6di8x/lof hdw8eliple.

State Archimedes' principky q;l5pq ul:a.cs*) qle.

  $50 \; cm^{3}$ 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 ankhf e5qug+15ed deeper into water of constant density, what happens to the buoyant force oefqe5+5 hugk1 n it?

  Salt water has greate(mbl q8ea/o-a1mn/ yu r density than fresh water. A boat floats in both fresh water and in salt water. Where isn1oml 8e(baa//y mqu- the buoyant force greater on the boat?

  Salt water is more dense than fg49p5 8 cfpvforesh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water disop9c84fvf5 p gplaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. W )*.j32ajj/t 3kel s;ygpkxdp here is the buoyant force on the ball g e2 g.y;3d3jp s*)xkaptjjlk/reater?

  A 10-kg piece of aluminum sits at the bottom of a lake,hmzl/66pzmbn sa.20 zqq2r8d right next to a 10-kg piece of lead. Which has the z 2dz8b nl60zq2 pms hrm.6/aqgreater buoyant force on it?

  A piece of iron rests on top of a piece of wood floatiqnyfs .,9x.qgf6 zn 9z/6pyidng in a bathtub. If the iron is removed from the wood, what happens to the water level in the tu.z9 fz6x sn./y9ngp qd,yiq 6fb?

  A piece of wood is floating in a bathtub. A second piece of wood sits on toa,, p 1g6gru(zwuk0 qdp of the first piece, and does not touch the water. If the top piece is taken off and placed in thw(dz1u paq,g, kru6 0ge water, what happens to the water level in the tub?

  Water flows through a pipe. The dihe ;r/*7smle6v z+om rameter of the pipe at point B is larger than at point A. Where is the speed of t7rmm evrosz+l/ e;*h6he water greater?

  An ideal fluid flows at 12 m/s in a horizontalzsq8gvw./ .ub(04,tnpbh3rm gt,y o(xl of;s pipe. If the pipe widens to twice , y o03hnm.(/wru ts;bzx.,8sl4 (gpgqvb fotits original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the7 h06hos2am4vkxu :th(yak w. pipe narrows to half its original radius, what is the flow speed in the narrower sectiw( hoh uvsk kh2m.a0t:a7x6y4on?

State Bernoulli's principlb,3 7t bels,e fphkx 6o(wae9/e.

  Which one of the following is associated with the law of conservation of energy r(v ev/)1zpji;xw+noin flu x( n;jw vorez)v+p1i/ids?

  As the speed of a moving fluid increases, the ph oclu if1o4o6 f(h2u+ressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B :t ;z5uhcs)kxphzs97 is larger than at point A. Where is the water pressure greaspztu) 5c9hh7z s:x;ktest?

  When you blow some air above a paper strip, the paper rises. Tw/ s4u5hx3zrz his is because

  A sky diver falls through the c78zn xb1q1i b2ny 7uftzp-2e ) )uoqcair at terminal velocity. The force of air resistan- c x18b )u7eoz7y uti2cnnqb)2p1qzfce on him is

  Two Styrofoam balls, of radii R and 2R, are releast3 sukxz/i6t1 z2yy8/l d8mzted simultaneously from a tall towerd/klzs1 63 8zitu2t8 m/tzyxy . Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it experil:mkkr-f k guv ,92celn x102 w,p5jkaences a drag forcem,k29 1klxkv ekr:, gwanf0p52u-c jl $F=arv$, 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 o3x gxyy8a2t1 1oz 4ya700;g dcoqaxl 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 in the flow x0xo27zy 1oatcgo14al0 y;gd38xa qy rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameter of qb-8 wqxa: 1gmovz-.mpipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipesv-: .zbmoa-qgqwm1x 8. 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 pp1mgu- g5gtr.ipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across t gg.51-gpmurt he 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" tas/)du+rxqmgk6j4sp 3+c+x q cste seems to be associated with oil spreading out all o+g6 +/psur sm k)xqc +x3qcd4jver 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 xr 19exmlk0b;to a height h. If the diamrx xke ;b019lmeter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are e/-bbnro6 m upj(we2;;o/y x qsufficiently lightweight that they can run on top of water without breaking the surface tension. Wa6/oq wx/pu;bn(e -ro by;m e2jter 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 sufficientlyp f3xl/whv2 k: 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. 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 o3/kpv:xhl fw2f bug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm has a massi/f6 tevv,ggfz*w-vje 3jx( 7 of 30.0 g. What is its exi6(g7j vg/f ,*tej -wz v3vfdensity?

  A liquid has a specific gravity of 0.357. What is its dew hl2j:-2o.v/seqtdfdmz1j+.b gn (g nsity?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 :vn(z)1n+ zd9fx smbc cm. What is the maximum pressure it can exert on a horizontal sun ms cxzf9+:bn)d1vz(rface?

  A person weighing 900 N is standing on c5w;tvz0*q +,5ctjof ztze -y snowshoes. 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 120.0c wttv(gy x 8b6pth ja-r6+2g/ m in t j/+byrv -g wtttxc8 a66(2gphhe ocean?

  A circular window of 30 cm diameter in a submarine can withstau h3c e)/ed.8vadfk 3l,rhm 6snd a maximum force ek vdh lmfs,.8u/e6a r)3dch3of $5.20 \times 10^{5} \; N$. 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 press3f *svx lyd6pa+ykfk t .(0ko,ure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (vk*js*t0 i ax9e rz9f(The dezr 9x9*s t(kfev*j ai0nsity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a loc5y9+e7yk ;lmrhf9 duaation 15.0 m below the surface of sea? (The den 9dfrah ;kyl 57y+uem9sity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydrj 80x4fw7u-polg iom1aulic machine. The small piston hasomp0xu7gjo fwl i -184 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 cm and the 0ye5bl-b wr 0nlarge piston has a rad-y5webr0 n0b lius 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 tos 7r8b2oa l cfy,0b/hb be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to a8 , la0 byhfs7o/rbc2bccomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 8sihd.hu f (sn i0e8qpd5u/,zcm, and its large piston has a diameter of n80/i (f,zs su pq.ei5du8hd h40 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 air and 30 N in water. hy wf-en : wph13:hcdt(ch,(oWhat is the buoyant force of the y 3c,wdthp1oeh:h- (w f:nh (cwater?

  An object has a volu d:qe2w1m 5hotme 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 supportedd: t ool;gwnquq0j d 13/9ime7-x+2lir vj,bo by a string while submerged in water. What is the tension in the string? (The specio;/:wvgrq9 uxbile j20qn mld-dt, 3oj1 o7+ific gravity of iron is 7.86.)

  If the density of golpgp g /i9b9n-a-hwmo 9d 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 /c1p qay7lqpyq5q k()(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 and 6.86 N when,gbv 9sidw ;t* it is immersed in water. Whatwbg ;,*svd9i t is the specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Nov1:p * 4e(dkv colei0 sxp7*sxw a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread anevep70:liv k* x* 4cp sxs(od1d 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 qj7 ,n1/hcf(v cij qgxrep50,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 dksfwp/ yv q2iy/3s8) yiameter 2.0 cm will just barely float in water.8)s /i yp/qy2v swf3yk What is its mass?

  A rectangular box of negligible mass mea 6*36s zk 8(q5c3wib* 0j wlmctrgjcagsures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks in a cm*z *(36lgsrktcaj iwwcb6 8jgq305lake?

  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 w zu(t;xd-kc8 ueight of the displaced water is 20(;xd 8uz- ckut00 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its voluyctl 40vzu7r7/ d(p cd4mxs9ume beneath the surfac 4rlcu yu d/7 s(c9vx0t47zdpme. What is the object's density?

  A 200-N object floats with three-fourths of its volume beneath t)4ffp mk. u2yov/l2rf he surface of the water. What is the buoyant fo/o2.l)rp fff 24 vmyukrce on the object?

  A polar bear of mass 200 kg stands on an i be h04n+ +z/i/ymyvs azyf6ir)1rkb*ce floe 100 cm thick. What is the minimum area of 6n+0i ay vyzb+)yfr 1e /kszhrbi*4 m/the floe that 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. Find th:l 4kwv,una;js +rw4r e flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2u *fxa1 f))-op:g0jyagd o/kjau;rxd(kb9*d .0 cm diameter restriction in the line. What is thf90;u1:aup /o(jx akjg*rx)db * oy-f) kgadde velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe wir-6jgfd:tz m8 fs3 se,th 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 su-armjk)9qmv j8 r5l/uzo* z0g pply a drinking fountain with 300 kPa, ifa)ogur5 8/*k9jlvmzrz 0- mjq the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that ho3 oxson ;j1)rk,/sc vglds water at a de jn os 1,vsk/gx)cor;3pth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal y2h 5ben ;zj5kk 4hk.bi6:bcrpipe 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 ponqg j;u/ aik1 7aqm8/hur 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assume /amqhi81; akq7/gjnu 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 decreased thdov,mlzn-upo6 /)w , yp1zjz;e radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constanl ,omzuvz/z-wp j1do) py6;,nt blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has h1vg mj mmxvq.s96guxuc3(, 4twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise i1vg3mx9g c, 6.m(q m xuuvhs4jn tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in abv 3:rfr5sb +k capillary tube of dia 5r3vb+:rfk bsmeter 1.2 mm?

  232

  To what height would water at 0 deog m89yjm h3qy3y7/m 06 ax, i-enlhvdgree Celsius rise in a glass capillary tube with a diameter o6d8 9-, mx m7 h0a/3nmie3hyyjqogvlyf
0.50 mm?

  A narrow tube is placed vertically i 1p9yn 6eq6grln a pan of water, and the water rises in the tu9l1pnr 6qg6e ybe 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 column in the tube?

  Consider a rectangular frame ;bnxbp6hmz4 yo6 5w-ti ,ebv5of 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 the5o,phtib v b6;my5 64x-zwebn 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and 4y25bxfu re)eis 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 1x)2ye r4 u5bfe2 cm square?