The three common phases of matter ar (7.zxv tyxn:em6k lbjr61d xp9gy.; se

  Density is

  Substance A has a density oaa gdr6xp21 i7f $3.0 \; g/cm^{3}$ 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 preq oj/lonx-0st 05k..mvz g1tessure?

  Consider three drinking glasse*ej6/4dhctimn3-v d es. All three have the same area base, and all three are filled to the same depth with water. Glass 3dd6v/ hjn4e*m-tiec 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 -mj t-/6evkc qala6,i the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens tjqu0c(33el2x bxs (flo the absolute pressure at the bottom of a jlq3 cxs f0ub(e 32(xlpool?

  You are originally 1.0 m beneath the8qv3ye8 s;/ihs3fwh f surface of a pool. If you dive to 2.0 m beneath the suis8fhf83ev hs;/w 3yq rface, what happens to the absolute pressure on you?

State Pascal's princip*u.t0 ehjs 4.adgadz 7+u5hbule.

State Archimedes' pricphbjs7o 8 6t9)jd0fs nciple.

  $50 \; cm^{3}$ 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 de4 )tl rutbu9i3n n+jv0nsity, what happens to the b l4r3 0bjn vttuni+u)9uoyant force on it?

  Salt water has greater density thafx*5b7b12dsvw r *7atead t(rn fresh water. A boat floats in both fresh water and in salt water. Wher*dta 7rbxt( df51vs e 2b7*wrae is the buoyant force greater on the boat?

  Salt water is more densr)akl91t 2iil)- bqmhe than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, th92iar 1)b qh-litmlk)e volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where65 7ksa)000gju0ck k ayduxos is the buoyant s60u sdx 0 jck)ky50aug7 ka0oforce on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of 4s4ksw/* czom g30emca lake, right next to a 10-kg piece of lead. Wh c*3w/o s4mz mke4scg0ich has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If the id 6j7v.q+f 7n*;tqm urcq.v qfgy8h/r ron is removed from the * ;6 +nyvv8grd.u qh/rfqtq m 7cq7fj.wood, what happens to the water level in the tub?

  A piece of wood is floating in a bath;a fiutgk.qa +)35g(si:rfy,uw.s wjtub. 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 happens to the water le:ri. s uw yjtkg,+ga.iq aw f)fs3;u5(vel in the tub?

  Water flows through a pipe. The diameter of the p7 jp+czdo dt .ng5b5,bbn* bd:ipe at point B is larger than at point A. Where is the speed dbb t5pd cz +njb,db:*.5nog7of the water greater?

  An ideal fluid flows at 12 m/s in te70emheof u ox58d, 2a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in th2fe0 ,7uhmteo o 5ex8de wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pip(itgolyi- :cs f s5y2)e narrows to half its original radgyi-s lf o2(i ct:s5)yius, what is the flow speed in the narrower section?

State Bernoulli's prin mm, ;.r swz9juoxe4f 2zw*+dhciple.

  Which one of the following is associated with the law of conservat+/4:a xezo0m19f;zxbr+wmkgq as u(1c( z dodion of energy ib(;:dokx +zo ewguxcd04+m/az m( f119azqs rn fluids?

  As the speed of a moving fluid increases, the pressure ildxkss, (jnni:9xb6 2n the fluid

  Water flows through a pipe. The diameter o9kc w1q(dhsa13q0riu f the pipe at point B is larger than at point q19kr1u 30dshw iac(q A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper rise0x w/1r /bb..rc0i y nhkpw0*akv9rmks. This is because

  A sky diver falls through the air at terminal velocity. The force of eo+ enimrt bo0w8*u++jlj/ob 00q7 wt air resistance on hi ot+j* +onbbmi0l wqur we0e/+jto087m is

  Two Styrofoam balls, of radii R and 2R, are relx4jeipulzu(*/g c*y b;ni/a.eased simultaneously from a tall tower. Wi xan.b4c jy /(z/*g;uulei*phich will reach the ground first?

  When a small spherical rock of radius r falls t,hx)ms0 nbos* (o4mlq hrough water, it experiences a drag forc qs0mm )loox4(n* sb,he $F=arv$, 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 a6 gxaxe(pai;h c4zq))eygt l*.z vt; 4 narrow pipe? That is, if you made a 10% change in each of the quantities below, which would 6gc.e vq ahtz*;4txpe;lgx )z(yi)a4cause the greatest change in the flow rate?

  Two horizontal pipes are the same lzr0w jpwjbu,7lz4 7- b 1sebq7ength, but pipe B has twice the diameter of pipe A. Warw7p 4q0z-sw jjzb 7b,1ul7beter 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 in pipe B?

  Two horizontal pipes have the same diametrj l9)8mf vws5er, 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 pi)mjrf s9 lw5v8pes. 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 (nle2fnuy;s5q,e)d qk ) r 7qsbe associated with oil spreading out all over the surface of the soup, instead ofyeeqln) q ku7d ;r5(sn 2)sf,q staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diametery-ufn,l3rxt -)b n2ste zd/* e d is placed in water, the water rises to a height h. If the diameter were half as great, how high would the water rise? -3 eu/2nt-,dbzfsx)*r leyt n

  Certain insects, such as the watf68c6awl j8:f; w zzwxo9wc(ser bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. Water bug A has weight W. Wat;6w wxscaz l9:6z wc8jw8(ffoer 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 suffu4yjrj0v kp0j j2+(j qiciently 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 maxipq40jj(uyvj2jj k +r0mum 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 hasb; etj u8r* yscev5):v a mass of 30.0 g. What is its densit)svr5t ;uje*bce: y8v y?

  A liquid has a specific gravity of 0.357.k0a5g r*3yrqb ts0bk2 What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x n zub lgwn:* bzzvmi:2, rf59c zu//k510.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal sur5g2u :r k:,nfczzm 5/vw/i nbz*lb9zuface?

  A person weighing 900 N is standing on snowshoes. Each snowshoeao( lm9rku 5:flv/*mk has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 1i p2dt bi.3i9hb/po6z20.0 m in the o63piih/pido2b 9btz. cean?

  A circular window of 30 cm diametr3 72q:uedq ober in a submarine can withstand a maximum force of od:7 q2qurbe3 $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressur 8 (myt23hhqpue if the absolute pressure is 300 kPa?

  What is the gauge pressure 8rwn 1vwu vrv -h8bze-w 6f1:oat a location 15.0 m below the surface of sea? (The density u whe:1vbw- 1f88 nvr6rw ovz-of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surfaogi9d88woz zv k56ig6ce of sea? (Tiozi vg56898do 6zgw khe density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulzs(ulj1gp9s ) ic machine. The small piston has arpgs1() sl9jzu ea $2.0 \; cm^{2}$. 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 th(p/az400 d vk7qq.bwthuv aa 7u.p.bz e large piston has a radius of 15 cm. What force must be apvz4 ud0 0 tp7..qakbp7 bhaq/vuaw.z( plied 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 hydraulic piston. Wfoeugnow- r+s85i.rge 9e 2 +ehat force needs to be applieo re+ 982.eni5g w-u frseoge+d to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift hasipk)ku8nqg:3 8 vhc3y a diameter of 8.0 cm, and its large piston has a diameter )y: qv 8kkn 33u8ighcpof 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 air az3 6 pbrpl8zr gqz5s4m5s/i:b/1 eyr/ hi4qcind 30 N in water. What is the buoyant force of rr 4z4 qg5ys c6ze 5pqp1/hb/rbii i/mlzs:83 the water?

  An object has a volum/ +,lr1n 4cslrldw2i re 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 bj8 -ckt zws+dchh2d/6y a string while submerged in water. What is the te/+cjs82d k6zchtw-d h nsion in the string? (The specific gravity of iron is 7.86.)

  If the density of gold isx8gl 2.np *hb0b e wuz0aues1l ,/2pwy $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel subqcsh q s+r 89kfg)v gca9pbrs+4:)y6umarine (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 it is immersa0:x:)fm aqt ced in water. What is the spf)ax:c:q a0mtecific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120uwxat7-hblmbybxg a7 l8v8x63 :v54o g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and loweredaxv6gt h7m3u75w v-xal 8: boxyl8b4b 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 2lhrh-j 3l / tctg)aq /x, +ikno24iefdensity 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 lenq0rnqg+ cwug2; qci*kp hxu .7p,g/4t gth 12 cm and diameter 2.0 cm will just barely float in wa c+ u;w4xtq2 uqpcg7g*p,q0kr/gi. hnter. What is its mass?

  A rectangular box of negligible mass measures 59ktuk:n 98yze.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before i8:k9ze9ukn ytt 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 surfgu92m /gth8vu*x 3 eatace of the water. The weight of the displaced wt32gmgth* /a9 eu 8xvuater is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume bekct2w /rrdcy5 l,p 9*nneath the surface. What is the /*rlyp9wr2kd5t,c cn object's density?

  A 200-N object floats with three-fourths of itsbr6uv 81uolmyum/-f : utwp19 volume beneath the surface of the water. u tlyp w1m/rmubo9 :fvuu68-1 What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What iha1gd*)himoah /6yo 6*i 9xl ac8t b7es the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0ia h1)6e l6c ati 9moh* axhdbgo*8y/7.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. Find the ye 34 hz0zcx1rgaw 3.nflow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm diamf6uyr,ex7 he;6r rcl :eter restriction in the lineh76recyle6 r: rux;,f. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a prbdt/oy90 ;izw; ur7uqessure 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 a drinking vy; f p5kgy3 yj)ep81li iob)w30er ,zfountain with 300 kPa, if the foi1w j5g v0 ozp;kbr )yl83 epeyf3yi),untain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of buk/it 9g-d /kp3)cisa water storage tank that holds water at a depth of 15 m. At 3u tpdc/ks)/ gb -iik9what rate will water flow out of the hole?

  Water flows through a ixm38pz .(*f rawfe(e*)m nakhorizontal 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 ;il8n4/xf-8bfq gki )hppj.dPa-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 above8 n4gbd8ix k;pj/fqf- p )lhi. the top of the neck, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up ofm7 8.fadh+std44y )fq*f h3dq,d dmz y fatty tissue on the wall of an artery decreased the radius by 10%. By h7ha3y dsf q4) 4mfft zyd*d.m,d+8dhqow much would the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed p pf0* kc7ww-n,2bgddin a pan of water. Tube A has twice the diameter of tube B. If water rises 24cwk-f, 0np*7dd 2w pgb cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in y )vlok(p0h/b 7ydcg:a capillopgc0)yk / h:lb7(vd yary tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary t/+ks-yuirpt, ube with a diameter ofiu-+, prsk/ ty
0.50 mm?

  A narrow tube is placed vertically in a pan of watedna8 +hkob:qj gy(,oh*-p 9kv r, and the water rises in the tube to 4.0 cm above the level of the pan. The surface tension in the gh9h8 oky* o-(ab,dn :v+kpjqliquid 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 0.600 m wl9jk md6y.ws fdi 71x+ith a soap film formed within its confined area. If the surfaxi1fk 6jsmd9ydw 7. +lce 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 w5)vzzjdc0 d0qtwvj .9 idth 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 adjustablev9) .jdzzqcvt050djw long side so that the frame is 12 cm square?