The three common phases of matter ar6 wel lbho 4z o2zhr.o+4c(.pke

  Density is

  Substance A has a den* s78cxs 7n2i s+-. /ipzpvtjoyay2xais:l 4ssity 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 i g9apn qwz3eq 9el05m(s not a unit of pressure?

  Consider three drinkinwhbxt+1y516wgb7e-mnynm7 2 z i i,gq/mx.mhg glasses. All 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 wn1m-hq ,gn7 6. gmi7tix wmby/e+bm1 z5yhx2at 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 the/nvy3nnht2x ,.h h pqyq*lr;3 pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to tho5rny na1q(-6sm rc,he absolute pressure at the bottom of a pool?r(h1nayn q6 ,c-ors5m

  You are originally 1.0 m b*x.is w6-w xr kn:ao+p 2q/vhmeneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on you?arhwioxn- x m6k*.p/sw qv 2:+

State Pascal's princ*c ;.r reju.vuiple.

State Archimedes' prinajc-,eo 6q,ygr uj6m 5ciple.

  $50 \; cm^{3}$ 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 density, what ha0u6j qju7,bl appens to the buoyaqb60j,7julau nt force on it?

  Salt water has greater density than fresh watas*ooow*7v0e er. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the boat7 avw0se*oo* o?

  Salt water is more dense than fresh water. A ship floats in both freshj6/* dqq1 pa2:gh p.o/wfvamh water and salt water. Compared to the fresh water, the volume of water displaced 2fga wahhp/qmdv:16*pjoq/ . in the salt water is

  A steel ball sinks in waterqt8ye;u *lqqf:k/ f ja.jk 1f1 but floats in a pool of mercury. Where is the buoyant force on the ball greu kk*t f1qqj8y.q: a l;fef/j1ater?

  A 10-kg piece of aluminum sits at the botto. ;0 rzx7 ei6.trchjocm of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant force on ec . ;ixr0hjro7.t6czit?

  A piece of iron rests on top of a piece of w hsrki -3+:hejood floating in a bathtub. If the iron is removed from the w ihs+:-e3jr khood, what happens to the water level in the tub?

  A piece of wood is floa o: 5rlbt/cu/ re/nj4jting 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 ol4u/e 5trc//j r :bjnoff and placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is 024b0jxn p va2n zm2,4begljs larger than at point A. Where is the 0 g 22aj bvjl4xespzm0,n4b2 nspeed of the water greater?

  An ideal fluid flows at 12 m/s in a horizos uhcr3oxdw5vn c;,x9)n (wm7ntal pipe. If the pipe widens to twice its original radiusx9s,x3h;rw 5w7cm)vndcou ( n, what is the flow speed in the wider section?

  An ideal fluid flowst tesn y*6t2a e2vv/s-9b3 x*cfqi ;tq at 12 m/s in a horizontal pipe. If the pipe narrows to half its original radius, what is the flow speed in i-estxb*t6yca3 /veq2q n;9t svf*2tthe narrower section?

State Bernoulli's princ51gjz36w2 cv5otdri vn7/ tfi iple.

  Which one of the following qjw .ig u-t+j.is associated with the law of conservation of energy in f j+ .j.-iqwugtluids?

  As the speed of a moving fluid increases, the pressure in t4j:+om st6rlth :ywu/g 6d.ldhe fluid

  Water flows through a pipe. The diameter of the pipe at poinan/m 6* *bl7nnj,i *5it6+k.grrwzgi:hepg i t B is larger than at point A. Wheli6h+.7e ,* npi zgijrbakgmi/:* wtn 6*gn5rre is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This dx4uh9* ,ag3i gx-;tgt0vef z is because

  A sky diver falls through the air at terminal velocity. The force ofa abl -km-ofv,cn jg 22-wn7b+ air resistance on mnf+nalc-go2ab-v72jbk, - whim is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously frommhj /:kc* *1wv oly46ddx .5jtrgr e0f a tall tower. *xy w5:h/ v4o jdg6r. mktd10rjlf*ecWhich will reach the ground first?

  When a small spherical rock of radius r falls through water,1cnb1( oqtv d; it experiences a drag force (oq11dn; cbvt$F=arv$, 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 effectswld ln3k *)s uee,y22 on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would caw2lk) y3den,*es s2lu use the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has tw.,xi2w;yzltr xuy/s q 3,f2fc ice the diameter of pipe A. Water undergoes viscous f,xzy2l;t , .2fcy3 xqwf si/rulow 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 htzmemhgu( 8;; sw 3mg-ave the same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both piptums wz;;eggmm h(38-es, subject to the same 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 seems toio 0v4 f8jqe6s be associated with oejvq08osf6 4 iil 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 placed in water, the waterhenss9k8: /ol.nh0:vdgg; h l rises to a height h. If the diameter weregn/8o lh;nkgl9 : hv0d :ss.he half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweightp 3uqcki uxkt)xx(ni 026 -l;r 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 wide, etc. What is the weight nq-k p6; x)u0(c3i2rxx iluktof bug B?

  Certain insects, such as the water bug, are sufficc-8sn v*0n,jr txja 4odr0 ru2iently 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 upwardjn8u s o0c4*-,rv2trarjxdn0 force on the feet of bug B?

  A plastic block of dimensions 2./ee d/* jb/1mqn-mhuy 00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its demdhbyq1 e*- u// j/mennsity?

  A liquid has a specific,/us o-zx-d(a gb*r 20 rqwefy gravity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm,nnmiu 8 +/q :wmff.ok x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a f.ow/ +8:qu if,nnk mmhorizontal surface?

  A person weighing 900 N is standing on snowsho l+jg0vk ;.skmes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submolt kgw bmjo 25:7/mmi a6o f+vg02g+am4*pgxarine withstand at a depth of 120.0 m in/:m5xmtw+l +f6i v a7o4gpj*ag20 g mb2okmog the ocean?

  A circular window of 30 cm diameter in a submarine canpq/sh y xrkjv:j/t83- withstand a maximum force ov-/skrqx / 3thjp8yj :f $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure iu +zw pms8z0 kt*20qf.yh+tot f the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surf4iv zr pymry .)-*im.* yp1b2et(timyace of sea? (The 1-y)*4(.2t verry miim .miptbyzpy*density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface of sea? pe3 fs/)/-t,xcv46xw 3dntjm;jh pev (The density of seac4dhpn;xv, we f 6-j/m)sep3tv/3jtxwater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hyd8 bd;zqdo ,vyoien6 2 *r8x5qdraulic machine. The small piston ha6r 5o o,x db2*qn8dq8dyvi;ez s 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, t(a+gtu d4- rvunv0aae4not ;h p8xk0;he small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to lift a cn- vdr g;u(aexhtpoa 8ut 4 a;00nk4+var weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic piston. What f0-1iokmf 25lzqe b*kdi4d3fw orce needs to be applied to a 5.0 cm diameter pisto5fedo2i1bf3i 4w-z d*0lkm q kn to accomplish this?

  The small piston of a hydraulic lift has qjw-cwmb8vm02 jse: )a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,000 q8c w2m -esmj)0b:vjw 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 a9p4u -ohil 1h13 nlo/ss)djs N in water. What is the buoyant force of the watel /ups )ahn1 9j3dos1s4-ohilr?

  An object has a volusxqe l:91jhfdnq7 .mr7)c e+ zme of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of s *hfmf2trikm( qg:0,zolid iron is supported by a string while submerged in water. What is the tension in the string? (The specific gravity of iron is 7.8q,fk tfm*z(ig2:r0m h6.)

  If the density of gold nv7, 7dzato8 ugqp v +zoz(7z7is $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steespq*3 r8l 82m2 tlhunel submarine (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 wathmc wb23 h (/ksjln70ger. What is the specific gravity of the 3nh0g 7j/ lmhwkcb 2(sobject?

  A container of water is placed on a scale, and the scale rr,of.85c p58p ao.mt /rx htjmeads 120 g. Now a 20-g piece of ot,r/p.pc8 ax fhjot.m8r 55mcopper (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 1.0 kg and densityy t,pxc8o ub+xs v;*+g 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 will just bar1;hax 6kbalt0 ely float in water. What is its mass?k1at;a xh0lb6

  A rectangular box of negligible masv(ow,1 jke + j6bf8sp2n0oxxtv8n (t(t mk 3fcs measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be v1o ,jx3v t6fmt0(j( (cb2k o8n nftswpkx8+eloaded 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 fugy )u9ff *5ow8 pc9shalf its volume beneath the surface of the water. The weight of the displaced water is 2000 N. Wyspu f)*5f f9o8 uwgc9hat is the weight of the object?

  A solid object floats in water wvbz9 extw0+*g1 *. avk .3aio tygm:lpith three-fourths of its volume beneath the surface. What is the o.o .*0*g3a gal 1viyvb xkm9tept+:zwbject's density?

  A 200-N object floats with three-fourths of its voluer5;z-1 jka5g8 n4ge *e9 h5woy/ zscvwi0tyeme beneath the surface of the water. What is the buo*5e e j;aewg4y/nszv 0z1c95kewi gyt 5 -h8oryant force on the object?

  A polar bear of mass 200 kg stand dn)w89swh kbh+xy3xc0rex)7w ht 1b+s on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwaterb)c + 3hshwd+ybkxn 9e xw0w rhxt)871 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 the flow razk *v m0m; 3+u+dzhw faq(nih*r ruyw6bi7+l6te.

  Liquid flows through a 4.0 cm diameter pipw:(lpb n **2kjkz, npo :s2cvre at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the vnpjrob2lvz: (p,:**2wc sk nkelocity in this restriction?

  Water flows at 12 m/s in a horizontal x.x 3wk iif 9f*+i4xdbpipe 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 mk4a2;:5gpyqcfn sb* take for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 mksyaf42p*nb ;gq:m5 c above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that 1eui8b2a6d 5akf 5tz,8h odiq holds water at a depth of 15 m. At what rate will ft8zoeubahidi15k5,28dq6a water flow out of the hole?

  Water flows through a horizonre8 :znkz+ dg/tal 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 onl9:e0kfsl c:f 0.20 Pa-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 clsk9ef:n :c0l m 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 de,*ivm (-op ;lrxa- bricreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant bloo-;a i (rrblo*pxvm-, id flow?

  Two narrow tubes are placed in a pan of water. hwjqc7a8cv mnm ;2 a1q,g su1q q52u:c Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in tube h:1c m; s1q2wanavm,jqq 8qu5u c2c 7gB?

  The surface tension of water is 0.073 N/m. How high will water rise in a capy ),u+b kx2w94vmlpjlillary tube of dia)4uk+,lxv2 jw l9ym pbmeter 1.2 mm?

  232

  To what height would water at 0 degree Ceat umf: 9edb28-6x4y5r zsrnp lsius rise in a glass capillary tube withrxed-a5yum 8f94 n:trpz 2s b6 a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water,yjwlpb/c( ,3/ x)mxbq 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 addition of some soap. Whaty(,jx /mc qpb3xwl/b) happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 b+5v4benhs4( 1 sddnfub 2bq,m and width 0.600 m with a soap film formed within its confined area.bfv12e,dnbbnuq+b4d (4 ssh 5 If the surface 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 wid/2rp2siy lao ,/*mz9ra2 yqxpth 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 that the2 2pyrm9/aopx a zr2si,l/yq* frame is 12 cm square?