The three common phaskx-* 9qj adna0eo -u,tes of matter are

  Density is

  Substance A has a denso(vfi0 :/l6:n zt ttvkgc:zl) 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 is not a unit of pgbl:: -;mms h1w*z cezressure?

  Consider three drinking gl.wk f)x n3pzw0asses. All three have the same area base, and all three are filled to the same depth with water. Glass 3nzp k.wf0 )wxA 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 betwee:;0lki /mszz57ai2e gx4g xukuv t.2yn the pressures inside and outside a tire called?

  When atmospheric pressure cu),ztnvhs) m )hanges, what happens to the absolute pressure at the ))tzs hm v),nubottom of a pool?

  You are originally 1.0 m beneatp vrewosv82:fh1awr3ut*t1: u4ff . mh the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the11 hosw:wu e3mfra. *up8 v:2ttr4 fvf absolute pressure on you?

State Pascal's principle 7qwq/0. dz0 v;vp; rsxah.da t6n/iwf.

State Archimedes' privkv-cj o) 5t:*mfy :2fdwis9znciple.

  $50 \; cm^{3}$ 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 .(l cpe87wrk z c9ix)dwater of constant density, what happens to thkcix98z)p7(. r dwelce buoyant force on it?

  Salt water has greater density than fresh water. A boat floats q:ar+dij55smw c5gqqb j9j(: in both fresh water and in salt water. Where is the buoyant force great9 :c(+qjmjjda 5wq5 rgb i:sq5er on the boat?

  Salt water is more dense than fresh wateex5ka7ux3dc0 le /lb2r. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the sce lxk0 5e2/adx3ulb7alt water is

  A steel ball sinks in ;dd9su43tm 4h8 rq ylkzkl/;rwater but floats in a pool of mercury. Where is the buoyant force on the ball greater? tr d4u qr;mlyhls3d;9/8 k4kz

  A 10-kg piece of aluminum sits at the bottom of a lake, righzs;d8, c nhzg/n5qh zkimjs80k 2-5g kt next to a 10-kg piez/hq g 08k5 ki n 2sm8,z-gh;kcjndsz5ce of lead. Which has the greater buoyant force on it?

  A piece of iron restsipzrumoi6vfbg*; 0 6j)bz1x* on top of a piece of wood floating in a bathtub. If the ironi ubzfv) 0ob6izxg*j ;p* 61rm is removed from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bat s ,bwqnfyq (*phy(*l)0bxbx3htub. 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 inqyf)3*l h*s(xb bxybq(,0wpn the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at pv/8tzti 0r ada 6cf:)goint B is larger than at point A. Where is the speed of the water grv6g f ):zdaci8art/t 0eater?

  An ideal fluid flows at 12 m/s in 0t7.fs6akbtased9 .ia horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wb6 eitk70d a9s.ftas. ider section?

  An ideal fluid flows at 12 m/s in a horizontal pipa 9,14l)qigtq di3aaf4w7; elhi0 we re. If the pipe narrows to half ew 91f w,iarg4tiq4lqi3; )ad0ae7l hits original radius, what is the flow speed in the narrower section?

State Bernoulli's prinj+2c 9uxiq)qx w:k:r ,m4 uwcgciple.

  Which one of the following is associated with the law of conservatiofbwfy;)pw 5. 02gno0dit rm-r n of energy itr p -yf;w w2mn0ri)bodf0g.5n fluids?

  As the speed of a moving fluid increamr +9 urqmhbe9m w.e8,k);hoyses, the pressure in the fluid

  Water flows through a piri*-is lms )m+l- .o0 kuniu)dpe. The diameter of the pipe at point B is larger than at point A. Where is the water pressuum-i )skni+ muil0 srlo.d )-*re greatest?

  When you blow some air above a paper strip, the paper rpjgly .k 9w(;xises. This is because

  A sky diver falls through the air at terminasi tbd2:0p / w0s*fhlal velocity. The force of air resistance on h2 wtis0*la d0bs:p/ hfim is

  Two Styrofoam balls, of radii R and 2R, are releasy 9j);;wjd:f7l bcc j stku(2zed simultaneously from a tall tower. 7 b c(y;kjdwzs)cjl:;u29 jtfWhich will reach the ground first?

  When a small spherical rock of radius r fall/kpggfq)3m+: m1 . or 6t 7cn.mvtroess through water, it experiences a drag fo e gctt)nqs:/m7.mg +r 1mopo6.vf3rkrce $F=arv$, 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 a nar:hq) e snq97i ttrl,o-row pipe? That is, if you q hi9qnls 7)-:or tt,emade 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 twit;cd6g/-j hml az,(+mml vsf /ce 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 the fshmcjzt/-f m6a(,l;vd+/l gmlow rate in pipe B?

  Two horizontal pipes have the same diamexeh4uj nmng: toy7s:- m(b1x5ter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the ys:1ghn7: 4nxxt jmom(5 -ebusame 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 seemuh. 2topz2x 4ms to be associated wit h.2z m2u4txpoh oil spreading out 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 placeu/ odb449ua -nl i)zwyd in water, the water rises to a height h. If the diameter were halayw bi)l/uzd o4u 9-4nf as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficie0ji v)i/qybi b 58d3vlntly 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 ai)qvi5 d bv0lj/3i8y bs long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweight that the. m v5je2n9azty 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. entma.v95 zj2 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 has a mass of 30.0 g.b4sp3 grc sa-5 What is itc 3-4psb rs5ags density?

  A liquid has a specific grav31s/3hxs(hi 1+qntecn 7k bqxity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00c00qpj thbgdm7 z 941d cm. What is the maximum p7z0j0dd 9 cg41qhm pbtressure it can exert on a horizontal surface?

  A person weighing 900;p( wx0odx6 zhj (jp-l N is 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 )g(3a yb/yh7tljli43dp f le z-vvt64 depth of 120.0 m invadltl ( v/pgfie)3bj6hy44lt-z 7y3 the ocean?

  A circular window of 30 cm diameter zmsj5d rq*-zkrd(n90 in a submarine can withstand a maximum force *(0kd5szr mrn-q9dzjof $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure i+ xe mphx8-u3bf the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surfacevu73ey,o6gti2gtf8m ud s.f9 dt /d) c of sea? (The density of seawat euu 39cfvg)m8 td2of 6dd,.sy7itgt/ er is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute presakb n *33hqca4sure at a location 15.0 m below the surface of sea? (The density of sea*c nqkh4a3b a3water is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. T;.ppv ).ap7sl.k l/;dtup bz 2g6touohe small piston hgz )l;.lok7pt/v ..;s6p pobduut2paas 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 garag- d/f3 xjn()yk oh7 ;)fwmrmjye lift, the small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be(j )j ;mw )y3rykof/mnxfd h-7 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 hydrauliom mpte6, et1z2oki-5r e-;uk c piston. What force needs to be applied to a 5.0 cm diameter pi1 -m5e kokz etm;2o6euitp,r-ston to accomplish this?

  The small piston of a hydraulic y 7)btg)cv/xdma 5jle/8gh0tlift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,007 v mlgt//bx c)5hya8 d)0gtej0 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 buoyant fo96i/wak rz (xv edt 5o,1xgk3zrce of the wateri, v z56z/eow3xx da9k(1rtkg?

  An object has a volumo6ear/ k : s9rc1qzi x9x;i+fme 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, c ao kqogo7g0+,,iqo a1jzp9 while submerged in water. What is the tension in the string? (The specific gravi,ikqo1z,+oggcj 0po a7 ,9qaoty of iron is 7.86.)

  If the density of goz2ow.pdjkul /r)mm68 c3 cj(,uycnz5ld 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 (densm4(2cph9ah1g 9 0 oind-ncq iqity = $7.8 \times 10^3 \; kg/m^{3}$) 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 +vvp,z-(4i kkn0ahrn b9u4 tcand 6.86 N when it is immersed in water. Wiatc 9u kvb,p404r k(hz-n+v nhat is the specific gravity of the object?

  A container of water is placed on a scale, and the w7az)sr3ocvx ; ovz,*scale reads 120 g. Now a 20-g piece osvv3;)rz* wxoo c7,za f copper (specific gravity = 8.9) is 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 1.p 6kh7lfz nowt(ec:w*9g7yxqsv8 2r bo7qd3 -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 lent*guruphy td5vky)h;azyg 3 1 +*yd qu5 *t76xgth 12 cm and diameter 2.0 cm will just barely float in water. What3 )ydyuav *zq *5 yu5+*turypd 7ght6t hk;1gx is its mass?

  A rectangular box of negligible mass measures 5.0 m lon7ni 1qk yaeo +v.qh f03mic1o,g, 1.0 m wide, and 0.50 m high. How many kilograms of ma+mehnovi ci 03y 71qqk.1,of ass can be loaded 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 beneath the surface of the koi6x vfiv+;z:,a*ke la2qn8water. The weight of the displaced water is 2000 N. What is the weight of the objec,n:k of8ak6a q*xvz;lii2+evt?

  A solid object floats in water with three-fourths of its vpg i;f;,jkpq3 olume beneath the surface. What is the object's density?3kpigp, j;f q;

  A 200-N object floats with three-fours0 nbp x3cu,-a0q0fcrths of its volume beneath the surface of the water. What ipbxccqf3,0r su 0 a-n0s the buoyant force on the object?

  A polar bear of mass 200 kg stap w-do9n8p1 wqnds on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.038po p-w1 dqn9w? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s+ sa*api ney5k*r9,,hz* hwyu. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There 27esxzcp6fm,4 7 mslmjj.) q kis a 2.0 cm diameter restriction in the line. What is the velocity4sck.zpfx),m7 6 mejlmjq7 2s in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a 6 n93w ubl+q con( 1yzz5it-hopressure 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 ub5ols, 29apvtw,d h- pump to supply a drinking fountain with 300 kPa, if the svd h,lw,2 oupa 59bt-fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage x : gb,+axrr4jtank that holds water at a depth of 15 m. At what rate will water flo arj+: ,bxx4grw out of the hole?

  Water flows through a horizontal pipe of cross-sectional /dr6crqh4b s+4 5fjt earea $10.0 \; cm^{2}$ 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 umvjgvy ld(d(37hby/yb0m-. 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 above the top of the /yy7 g-(3u0yhdb.d(m jlbm vvneck, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of0+yt* pd 0wgh,ev6x fet4t pd( an artery decreased the rad *( ey4pt0vdtewgtd f0,x hp6+ius by 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. Tubegdyy 7i.gowq -6uxk*1 A has twice the diameter of tube B. If water risesy-kdgx. 7ygou*6 wqi1 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high w.i: jhtn2ofi /ill water rise in a capillary tube of diameter .h2 itjfn io:/1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a gl 9kat huf 0h1b6 *omfl(rcidw6x,p; h0ass capillary tube with 9l06tcf6hpx( wo r,i a*f1ud ;hbmk0ha diameter of
0.50 mm?

  A narrow tube is plac qtiu k: zg*+og39fgvb.8xib7 ed vertically 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 the addit u.qfg97+vk iig :*tbzo 3bx8gion 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 fit,6kyjybz1g-pj (u / flm 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 tkp u/ tyz (,jjfy61-bghe 0.600 m side?

  An adjustable rectangular frame has length 12 cm and widt*vti))7fs9w4xp kjhtt wl )4 th 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 adjustable long side so tjtilt*wxtt )4 kw)sv4hf p79)hat the frame is 12 cm square?