The three common phasp+u vnt;3dbr0 2pu 5c 6emjvuyf x8yr1/;4bg xes of matter are

  Density is

  Substance A has a dens8m i jmd69(qfwltc 7;r ccof)/ity 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 3as/eqxw, -o jis not a unit of pressure?

  Consider three drinking glasses. All three ha+ 9kcomq/6b zsjy1az 2ve the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wider at thekbz 2acoz 1 mq6/j9+ys 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 ytx 1sl5sd61kthe pressures inside and outside a tire called?

  When atmospheric pressure chanl-1isf ( myxx+ges, what happens to the absolute pressure at the bottom of a poolmy f-sixl1+x (?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m ee+tin6 x +hvt gynu/; 27q8qbbeneath the surface, what happens to the absolute/qbge i8+ he2 nyt;+tn6xuq7v pressure on you?

State Pascal's principlv3 dh2c r-5,k lxekx7ae.

State Archimedes' princ4wyjx z20ypqjkkq0 5) *4vpbsiple.

  $50 \; cm^{3}$ 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 dens:bzrbhjrxme5: t 5e/6ity, what happens to the buoyant force o56x/zh5m r e e:jbr:tbn it?

  Salt water has greater density than fresh water. A boat floats in both fresh wa*gdj:x60 )ly ybdhfvacv0 f6ni 5s2 wt9r9en;ter and in salt w ihf9;*b rlvdy06asdv)6 exwgny n: f5c902jtater. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh wateru)wudey4u-f(,8: niq ux oa2 i. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in wi-y 8,2 uu ou:f ine(xqd4)authe salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where is the 7n1 raz1j 5ylf gy6kl5buoyant force on the ball rz1yny51j 5a 6klg7l fgreater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right ki)5nhg 09aq hnext to a 10-kg piece of lkna) qh05g9ihead. Which has the greater buoyant force on it?

  A piece of iron rests e/b2g exv) k)9cq dqa.on top of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the waqxc.e 9ekd v ab)/2g)qter level in the tub?

  A piece of wood is flu63+an k; 6lpnn 7zienoating in a bathtub. 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 thkz63nn ;6 +aiu7plen ne water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is larger tf1mtz4) m1d dbq2zlbb ;d,.s*f yg je(han at point A.)t b*.g(ffj1qyzelsdz d bm1d 2,;m 4b Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in af)j0h vwb-;ir horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wideb )r- ;wfvi0jhr section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If th/+ u0qpwy yly.r wi0 +vioj/6p24eygq e pipe narrows to half its original radius, what is the fl 0yj p.l+i+ov//0e uq ryqi4 6ygywp2wow speed in the narrower section?

State Bernoulli's princi;p8ufn ;8wd swpiq 2;q/e:iczple.

  Which one of the following is associated with the law of conservation of energy2wo *6 3hnh tuby t33ml*slo1 nl+d:nk in fluidollt+t*n uhk3nl26s:ywh 3nob*d 1m3s?

  As the speed of a moving fluid increases, the p*z;9;/pt j gfq/wvtp2pv ( icpressure in the fluid

  Water flows through a pipe. The diameterfz;+)1dov sg w of the pipe at point B is larger than at point s g w1)vzo;d+fA. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paperq f1p( wa(6.xj6rpulq rises. This is because

  A sky diver falls through the air at terminal velocity.e7q9ou( mh1sfeckgr6o o*/;bl8 aoz8 The force of air resist aue;8b (l7o /6krzo hc8qgs ofe91om*ance on him is

  Two Styrofoam balls, of radii R and 2R, are released simulty9a;xd2v7 ugeudmfv*xq s :4)aneously from a tall tower. Which will reach th)s:ua4vvd ;u9xqxg dm7e f*2 ye ground first?

  When a small spherical-ewhz za1-zr5wusl .f v j4)x2 rock of radius r falls through water, it experiences a drag forcjfe ah5 s2vuzz)wwz4.xl r1-- e $F=arv$, 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 ek*c ths/0ruis+n -f. 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 fls es0c*/nruf kih.-+t ow rate?

  Two horizontal pipes are the same length, but pipe B has twice t4kl o;(h :uat9e :wfzlhe diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes.th4:o :(aul zkl;9ewf If the flow rate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes havsvt n5b (a.t5ge 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 g.v5s t5(anbtdifference 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 tastefj zqxmwzl j2x-2338;qxnx. m s greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of thel qfwx2jzqxjm3nz.xx23-;8m soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d iews- -b*smb n-s placed in water, the water rises to a height h. If the diameter were half as great, how higb ss*b-e--nmwh would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight that tf7kd:v c izu)2hey 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 long, twice as wide, etc. Whau) 7ivd:2kfz ct is the weight of bug B?

  Certain insects, such1 1qf+it 5iiy6xdr :oi 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. Now suppose that water bug B is twice as big as bug A in every dimension. Thatyfi:xi1+ro d6q15 iit 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 has a mass oy4j / qmuafgq x.,m2h7f 30.0 g. What is its densitqh7,g2quf/m y4j.amx y?

  A liquid has a specific gravity of 0.357. What is its density?lni)2n (8w+ os + w8bfpcz+ybc

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. Whb sak+z4 unh1+ps+ql3at is the maximum press4n+u3 q lsks+pha1+ zbure it can exert on a horizontal surface?

  A person weighing 900 N i r uw l(78:m(l:kl jgwmi.x(xhs standing on 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 120.0 m i0wnatak8f ) bzn.p a6-n thwn6)p a .t0 z8ak-afnbe ocean?

  A circular window of 30 cm diameter in a submarine 8h+lx: q uy;k*dsci/ucan withstand a maximum force ks/+q u:ucix l*h ;d8yof $5.20 \times 10^{5} \; N$. 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 is 97 gu 2mhqek ;++gjmja300 kPa?

  What is the gauge pressure at a location 15.0 m below the sbiud /(k2kax+u: c- hburface of sea? (The densitya idb-c(x2k:hku u b/+ of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the sypz7;k9vtz 4 hurface of sea? (The denz7;z4kph y9 vtsity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. p4x(2;6dfynong r -mns5 tz(k The small piston has area (p6s-(5 2ynnnxo k 4dgrmztf;$2.0 \; cm^{2}$. 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 huu;,(uk7y n c 8wth1ylarge piston has a radius of 15 cm. What fh(h1yc87wuu y u;n,tkorce 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 bexi6lw.*vrpoag0i07 l0v ta0 q lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplishxi 7vvrt0ai0gl.wa o0pl * q60 this?

  The small piston of a hydraulic lift has a o. 8byge hwe89diameter of 8.0 cm, and its large piston has a diameter of 40 cm. T8ehw y9 g8o.ebhe 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 buoyx meh p.i ,/na)7mxmj+ant force of the wae,nm.h) m+j /ixmp7xater?

  An object has a voluertm kox6/l; 9o9r tmm/hc(m r*1 j.rrme 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 sz39eccc3 y(n gupported by a string while submerged in water. What is the tension in c3c 3e9(cgynz the string? (The specific gravity of iron is 7.86.)

  If the density of gold is ij6y5h/ w2a+pop mw.s $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine js8-ds lfeh)5+joc9 f(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 immere2kk;y atw ,4g00on to3e8 scosed in water. What is the specific gravity of the ekoa3gync0e0t t 8 ;wkos4o2, object?

  A container of water is placed on a scale, and the scale reads 120 g. Now a 2j tpf.dutdut22ch/n* .d/ xe20-g piece of copper (specific gravity = 8.9) is suspended from a t/uud.tt dc2/pej 2.h dt n2*fxhread and lowered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum wgi 12c4lkxg5 4g dokr*ith a mass 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 wil v8srh:)um5rg zk-i25w y :spkl just barely float in wate)8zs:k:s-hpmru 25wk gy r5ivr. What is its mass?

  A rectangular box of negligible mass measures 5.0 m-mahh c0ecrc;g9bc g +b9:,)b ezcb8 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be load-bbc+ hcg)cg0c8 9ehz9;rbaeb ,cm:m ed 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 its volume bj ;o.d3f.fg*j)y)i bqn v.atd eneath the surface of the water. The weight of the disp.jnj.ayi do;vd . g)btqf*f 3)laced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume bentv r0jdu2:aa3 eath the surface. What is the object's devuj0 da 2t:r3ansity?

  A 200-N object floats with qv;6o7 .k bganrkw 8i,2xt/pd three-fourths of its volume beneath the surface of the water. What is the buoyant forca 68wp2okg tib v./n r,d;x7qke on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What)ng(wte3p0zpi ralwm63 .re 7 is the minimum area of the floe that will just support the em( t7ienwpag0. )3lp6w3rz rbear 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 the9uu:w(rthww )ul (/dg flow rate.

  Liquid flows through a 4.0 cm diameter pip4(b7: vya.kez/ sg6ewuz d,j fe at 1.0 m/s. There is a 2.0 cm diameter ryzvje74s6w eug/af b,z(.dk :estriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in anr5u3sb m 1pt/ 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 a heo9))jf7vf k0mk4 gldrinking fountain with 300 kPa, if the fountain is 30.0 m abovek emhlffo)kj0 97v)4g the pump?

  A hole of radius 1.0 mm occurs in the bottoa,q6q4docm 4 lm of a water storage tank that holds water at a depth of 15 m. At what rate will water flow out of the hom4a,d 46qolq cle?

  Water flows through a horizontal pipe ofw9 -5h c2oxi4mxbu8z/fehd l 1 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 8*8jjlmqyp tv2taj9* take to pour 4.0 L of oil through a funnel wtl*8jmvjt y2 *jpq89 aith 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 wall osdb. 4xf;gqwt w2 c5e;f an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to mainta; 5gt;qb eww24c.x fdsin a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the dijvubiazze *.-j0:rez el +h9(ameter of tube B. If water rises 24 cm in tube A, how high will i zlzz9- +b0uva*jei j.(ere h:t rise in tube B?

  The surface tension of water is 0.073 N/m. H ;voe;r/ssi,k3*q. lw bfvvd9ow high will water rise in a capillary swrq ovdvsb ;v ,;/3.kfe9li* tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree 6qd;5+pq9q(f(m dtnnl3 ntuit0d/n wCelsius rise in a glass capillary tube with audfqt/5 tnq+q l n0( tn9i(63ddp;nw m diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in th 49o/ s;hang/l a3velne tube to 4.0 cm above the level of the pan.el3h;/lo9svg4 naan/ 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 0.600 m with d 4hka+-f gia1ke6/4lit( pa5z lhch(a soap film formed within its confined area. If the surface tension of soapy water is 0.02 /ph(el4kg-k+1aad4f li 56(tahh izc60 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular c/6;e:s snk4c u gmni-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 bu64k-s i;e /nmcn ugcs:rsting 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 12 cm square?