The three common phases of ma+aa w0; 4gikhb-y5hh htter are

  Density is

  Substance A has a densiy:dutm rh z5wa26 o63ity 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 u0cs9y6bsi3lvo 8k-g 2zb70s jrm) zl?

  Consider three drinking glasses. All three have the same area base, and all 13mh c/bkwpt9;zp4 2 p ticm3 6dkmwj5three 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 is narrower at the top than a /i mt9;mbh3k 5k23 wjdp1pz4tp 6mccwt the bottom, and so holds less water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the differencp ,3ff vgcb 6v5owyp)+e between the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happen0is49*d x ljn-tqapo., ik)bts to the absolute pressure at the bottom of a pool?9i. s4nqbtda0t*xk iop) jl-,

  You are originally 1.0 m beneath the surface of a pool. If you di4bul9b1*)(1 f rbyfv; jx6gyi mh9 6pt+yuhuuve to 2.0 m beneath the surr(b;+jbug4tvbyuu p *u1 9fhyhxf i1ym66 l)9face, what happens to the absolute pressure on you?

State Pascal's princip ; 9zyaxbwsmwr ,o0)9b;5zz uble.

State Archimedes' principl7-i0 cnfk/rk drd;2t5yo )dnte.

  $50 \; cm^{3}$ 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 density3sx/ .ds0fods , what happens to the buoyant fo sds/30fd xso.rce on it?

  Salt water has greater density than fresh w50 qy9 lv zddu,z0r+nhater. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on 0 zn+9du5v dlz0q ,yrhthe boat?

  Salt water is more dense than fresh water. A s35 letx +f5xukgeeb1lk0;x0 ship floats in both fresh water and salt water. Compared to the freshesg5 0 tlxue1b kx3x;fk5l+e 0 water, the volume of water displaced in the salt water is

  A steel ball sinks in water tr,(l3 mn112q *pi;vuu rov.joh qmg 2but floats in a pool of mercury. Where is the buoyant force on the ball greate j13q 1u(tv;rmoiog,22pmluhn .r q*vr?

  A 10-kg piece of aluminum *9a nhg0d;1vfy(xjn j sits at the bottom of a lake, right next to a 10-kg piece of lead. Which has the grea*afdn9h 0j(njxg vy;1 ter buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bawau7vwpoo 3 nj3 ec48d3/qkz. thtub. If the iron is removed from the wood, what happens to thow3v 3paeq kdo4n 3 /cj8uw.7ze water level in the tub?

  A piece of wood is floating in a bathtub. A second ,orvkznsj;,g-to /r; piece of wood sits on top of the first piece, and,;-rsk rto vo/z,jng; does not touch the water. If the top piece is taken off and placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of 1jc: xe 1mhq naia1*j-gy.9zc the pipe at point B is larger than at point A. Whc9 nc mqaj11ayg-:h jx .e*1ziere is the speed of the water greater?

  An ideal fluid flows at 12bdl0 rv g4mv03 m/s in a horizontal pipe. If the pipe widens to twice its original radius, whab30vv0dmgl r 4t is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narunecu9m 6(86y-u y auoi-w//g5hc tzff i8 q4brows to half its original radius, what is the flow speed u6-8i 5chc9z bynou/w/tiuf4eq-gfm6 y(au 8in the narrower section?

State Bernoulli's pri;nh b58yhu ekhf99 )5s in:rjonciple.

  Which one of the following is a1arq1 010 b5 zzb*wmk crd*zdzssociated with the law of conservation of energy in fluia5d m1rrdzzw *kz*bc00b1z q1ds?

  As the speed of a moving fluid increases, the pg mn-5 ny r9wbn: esh35wqr8m5ressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is lz/k -u lk xw4n. fv(2y;ha0sadb-pyx, arger than at point A. Where-f/uxl, y . -pv;4xwhd2aysnkkabz 0( is the water pressure greatest?

  When you blow some air above a paper strip, the paper rhj q(l tsqmf3-nj4p .9ises. This is because

  A sky diver falls through the air at terminal velocity. The force of air resscg7yl/, 6b*vd u8 3 nvofpy0wistance on him is,dv o3ls0p 7vyc gnf*b/6w8yu

  Two Styrofoam balls, of radii 0(6bq uhpf -y +kp +lmb52h* cnrkc4wrR and 2R, are released simultaneously from a tall tower. Which wilk+mb 0hhr4cn( +*2-pbry 5 pluwkq fc6l reach the ground first?

  When a small spherical rock of radius r falls through w, fsa.rq8epq8ater, it experiences a drag faersp .f8q8 q,orce $F=arv$, 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 r lh+wt4bw9z-x e8iw+ 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 lh8xwrw - +zt9+4iwe brate?

  Two horizontal pipes are the same length, but pipe B has twih- u-9e4o-mbeal n5u)p3t kwd5 se nu7ce the diameter of pipe A. Water 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 thdlespu45n )kehw m-etu- 3unbo7 -95ae flow rate in pipe B?

  Two horizontal pipes have the same diameter, 1a/ rq8(jcm zbbut 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 pipe81j b/ac(zqrms. If the flow rate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it4 i(j1e7k47nkoe iq xt often tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in 7 tk74jqoin(4xk i e1elittle globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the warwwjw0.puo0 ul08o r5ter rises to a height h. If the diameter wereju w urr0p ow80ow5.l0 half as great, how high would the water rise?

  Certain insects, such as the water bug, ah/ pfi+t56 91 ndcuvkpre sufficiently lightweight 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 long, twice as widfd 5tkc 6iupn1v 9h+/pe, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently li+jfyp9 k.gi : *q1cnfightweight 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 dimen*:y f.nq1kcg9f+ ijip sion. 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 *d pnn sp9war7 4l6*ik3.00 cm x 4.00 cm has a mass of 30.0 g. What is idn s**piwrplakn46 7 9ts density?

  A liquid has a specific gravity of 0.357. What is its densid (zgr w(v+ 9 u+*ukpc4hc7op8qn td8hfh*ca7ty?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.w,lr-mw j4 jq /vdyq(500 cm. What is the maximum pressure it can exe4w rd, q y5/(mvwqjl-jrt on a horizontal surface?

  A person weighing 900 N is standing on snowsec c1 9k1+sfyb 945ozkh so7fnhoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submari69 dttnyv.v z)ne withstand at a depth of 120.0 m in .vtz6)d vynt9the ocean?

  A circular window of 30 cm diameter in a submarine canj xataaa58tcao:a kr1s;w ) .7 withstand a maximum force of skaw;ajt8aaoa1c7x 5.:ra )t $5.20 \times 10^{5} \; N$. 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 pi,- a4rlk7szn ressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface ba mnj6+qoh0xbpo n 3)b4qv( ,of sea? (The density of seawat) 4hb n3qbxom(b a+qn0j6,pvoer is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absoluterv/1(hwx i,xalbd/w u8 .y8bm pressure at a location 15.0 m below the surface of sea? (The density of sh1wlarwx. 8ui8,vm /(bd y/bx eawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machin 4v./i.djhkc *lpr j3 wxn+2ioe. The small piston has a2 c/kipl owx*rvj3i .4+d.hjn rea $2.0 \; cm^{2}$. 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 th6e6at6y(ak g ror6*e je large piston has a radius of 15 cm. What force must be applied on the small piston in order to lift a car weighing 20,000tge6 6(oar * earyj6k6 N on the large piston?

  A 13,000 N vehicle is to be lifted bg7uq (x:a z)dmy a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameq d amx7g:(z)uter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter( q yq *d)0wdy*2x:3gfxqj e5g 1nqzimyf,7ro of 8.0 cm, and its large piston has a diametdyord7x0 gx1qifjz,(qy fymqe)3w5*gn2q: * er of 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 and 30 N in water. Whatwm6(b fac2 q,glk q0o) is the buoyant force of 0 6omlkqw)2qfbc g(,athe water?

  An object has a volumw33ufg 6j (umkh h9xn/e of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid i7rrx-3bdescp: ;9l ozm0hs8e n3up;cron is supported by a string while submerged in water. What is the tension in the string? (The specific grav r8r9;3hxp3p7d-se n;m ubc cle:zo0sity of iron is 7.86.)

  If the density of gol,lzr 5l x 0e)kgrsk2j3d 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 submau68i sraa 4,:qt puc7 3*ckaiqrine (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 immersed in w y5mddynt 3 :l+9;lojsater. What is thedyo;5y: jn3tm9+sld l specific gravity of the object?

  A container of water is placed on a scale, an;bg8pv1k0kowp se+j )0+txg f d the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the waterg10k+kpxejb) 0gfvop w+s8;t , not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1.0 kgkod3xw1 roj(:x1,y i t 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 diametersdug :wdjf9m),*4lcuvp 1 xn+ 2.0 cm will just barely float in watepm+dju)l ,sxufdvn4:* c9 1gwr. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 mjrl s w5h3dt65 high. How many kilograms of mass can be loaded onto the thl5dr 6sj3w5 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 beneath the surface of the rja -.zh pn1e(e8*sovna+x)qwater. The weight of the displaced water is 2000 N. What is the wei*8asn hj+xnr -q)( ae o.zv1epght of the object?

  A solid object floats in water with three-four6xg g .7zdu gdmgp510nths of its volume beneath the surface.um gn5pd g7dg1z0xg. 6 What is the object's density?

  A 200-N object floats with three-fysm2lc0mfo4b.p o9 7courths of its volume beneath the surface of the watefcm7y b.2p o9s l0om4cr. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 487d dhwsqtl- cm thick. What is the minimum area of the floe that will just support the bear in saltwater of lt8qs4- dw 7hdspecific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe ofq;8g 1m kdoe5w*1t vgnce4h9m diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows throughx-ypb 81yo+- k+wwzd p a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the v-pxk8 w y 1-wz++podbyelocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe witm4d3etk o3f/jh 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 pued,,tf5*7t:wubh 22lxi s eyump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above theed tht*y7, fix b252wluus,: e pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storagv lzzy7k2w -9n/gh o-1grn-are tank that holds water at a depth of 15 m. At what rate will water flow out -o2rw kgz7v/ lyn n- 9rg-zh1aof the hole?

  Water flows through a horizontal pipe of cros 2t7t4e+m etcqs-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.26i:-w;8 akti0jbw bd1v tl/ hwfo unc 3-ow-u How long would it take to pour 4.0 L of oil throtw cuvkl utn6;-:w -i wf -2/h8ido130bajowb ugh 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 upper part of the funnel.

  Suppose that the build-u. n8 q.nf*:vg liaf.trp of fatty tissue on the wall of an artery decreased the radius by 10%. Biq.:ff*.a glnrn8tv. y 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 twiehv5+l8nn uv-cbk.3 xi p.p9dav2.kjce the diameter of tube B. If water ihd.p2 b9kx3lnnak8 v p u.e5c.- +vjvrises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073r0wa-,o zf p8s80v0 wzucb+ le N/m. How high will water rise in a capillary tube of diameter 1.2 mm olf80p b-wc0uez8avz +0,w sr?

  232

  To what height would water at 0 degree Celsius rise in a glass capillashbs.) fxa)x1y)ju) w ry tube with a diame.sb)x)y)1a s )jhxwfu ter of
0.50 mm?

  A narrow tube is placed verti( ;/pi foc(yhpcally in a pan of water, and the 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 th po/fcyhp ((i;e 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 a soap .b5mxm d;+fuo film formed within its confined area. If the surfac;do m5+mu bfx.e 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 anf83fa/p2/ ox w8lea2ia (fjcjd 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. Soapy water has surface tension 0.026 N/m. (f82a iw2f8oj /3xapeal f/ cjHow much work is required to move the adjustable long side so that the frame is 12 cm square?