The three common phases of maeeq n)t:u-ld4tter are

  Density is

  Substance A has a densi/iv riq xyiy4l:6zr. j 5d13p4dxgic2ty 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 followin16b fo 0w*tjhcg is not a unit of pressure?

  Consider three drinking glasses. All t+lngly3y)b;fjv5r-7 ,j bt eehree have the same area base, and all three 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 at the bottom, and so holds less water than A. Which glass has the greatesye rybb l-lf j37t+ n,gej)5;vt liquid pressure at the bottom?

  What is the difference between the pressures inside and outside a tire call v2)gl d9t)2l6dxi ytted?

  When atmospheric pressure changes, what happens to the abso4w7cp lrsbg2 jh17ho9 lute pressure at the bottom of a p9jl g77rhw21 c4sob hpool?

  You are originally 1.0 m beneath the surface of a pool. If yo/c pl+xw2 lhhnudv 8+8 2*jtgcu dive to 2.0 m beneath the surface, what happens to the absolute p2 8jg2 cpxuc *lwh/8dtl+nvh +ressure on you?

State Pascal's princ q7ojg10ti3)yev(l8k h 4v/xdn 8tvlliple.

State Archimedes' principv2c9la idtd/qxb)fi, ;g s01ele.

  $50 \; cm^{3}$ 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 densitn(a h,*tn ir:d*iuo6oy, what happens to the u( ,nai *o*dint6r:h obuoyant force on it?

  Salt water has greater dcs+ 9qfj1 cr(tensity than fresh water. A boat floats in both fresh water and in salt wsrt9 c1q(j+ fcater. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in bot +vs)rs2yfh fuqd:eglc( :.: mh fresh water and salt water. Compared to the fresh water, the volume om:vdlrfq gcyfu.:s) e:(h2s+f water displaced in the salt water is

  A steel ball sinks in water but floats in a p7f -c rk,p8i)ieb6ll kool of mercury. Where is the buoyant force on e)-p6c lfkrik, li7b 8the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, rightu)jbkxc+,) a3agw6 +hdtg( q p next to a 10-kg piece of lead. Which has the gcu++d)6jtgp,3kq )xghba a(w reater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If thew)ls2oco4, 0ee6 ffdg iron is r6,wcd l4ef0) of geo2semoved from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a ddanl h/h*; xivltmz-d a4 9m.;vqpny;/u t()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 the water level q/udm y;tvzti-*npn/hl;aalx)v;9md d.( h 4in the tub?

  Water flows through a pipe. x6vl damtp5(9The diameter of the pipe at point B is larger than at point A. Where is the speed of thdpvmx(5 9lta 6e water greater?

  An ideal fluid flows at 12 m/s in a horizontal p./kb j 7pg-m+xo t7c mdks8ia)9l i1uiipe. If the pipe widens to twice its original radius, what is the flow speed7.sc8ogik j 9+) -m mxuail/1kit dp7b in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. Ifos b2f x7h9 4 mb0zr.fo1eyjp( the pipe narrows to half its original radius, what is the flow speed in the narrow0b 9jff4xs2 .om ohprye1(7zber section?

State Bernoulli's principy.7ke h,6c / qlyxof170gk g.jo3tz1oqm3rekle.

  Which one of the follo m;lud3lb6uvs+e3 r7x h+l +nowing is associated with the law of conservation of energy ind7ouvh3b3l r +sx;ne 6l++mul fluids?

  As the speed of a moving fluid increases, th*5ruyx5z d)/ j0vaqp,lgu fb8e pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is largerz7 pr b omp3/ 3xhrywi*s-*zl, than at point A. Where is the water pressure grea*pw- isp rz ml/y3,x3boz*h7r test?

  When you blow some air above a paper strip, the ptev cr /dy8n0n+-m *ioaper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of air r )i uc.n fknr;6cgo+:wesistance on cr;c.kfg: onu )w6 n+ihim is

  Two Styrofoam balls, of radii R and 2R, aafz0jk 0graff5uz 9 le7*: br+re released simultaneously from a tall tower. 97re+z fag50jb*l:fzfk0 ua r Which will reach the ground first?

  When a small spherical rock of radius r falls through watl8* (f0wr(igsg lz,k: hmn8aher, it experiences a drag ig0l 8h karslw:8n *hm g,z(f(force $F=arv$, 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 zs/*cy m jr3 *;/osdv -jpn8vpthe flow of 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 thov c3jmy pjrdzs n*/8 pv*-/s;e flow rate?

  Two horizontal pipes are the same length, but pipe B i2l)r1+c pwc dhas twice the diameter of pipe A. Water undergoes viscous+w2 c i)dcrlp1 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 diameter, but pipe B i2 +pj3wxhwj/)h6o,lla doy;is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of taoy)djl2o p;i,w6/ hxjw h+l3he pipes. If the flow rate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, ix49srjres (6g p+j d/p9hnzc8t often tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface pr 8c/9zpd j g6jh9sx+4sn(erof 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 water 1-yjg3197lonhm gl lhrises to a height h. If the diameter were half as great, how hgm1hh 9l3no1 j-ly g7ligh would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweigh02u 2jzgw7+ vog er/dwt 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, j0 v2zo2ugww7 +deg/ rbug B is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as n tpid+tgy+(4z2h/1d my d9e;shcl - jthe water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. This is ztc4l(dyn m-dj++h12 pedhgi9 yst/ ;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 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 mas12--9ayl n ahwpi-q.gc/ic cds of 30.0 g. What is its densay-l/ai hc 9.1p2qn dc-w gci-ity?

  A liquid has a specific gravid dp f v1-64ji)pst3hdty of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 zfha3wi* ke*t9(*rhe qg29fhcm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontg ffzqkih3 9eeth **ra(9w*2hal surface?

  A person weighing 900 N is standing on snowsho k 1dgsvo.8jlt,3* olwes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstu- p471m7spk c9epotpand at a depth of 120.0 m in the oceant-74s pcp7kemuo9p1p?

  A circular window of 30 cm diameter in a submarine can withstand a maxim9ab t-3o x(x t(* (zsi6moh gwp(a;jp0 wcuv4hum force ( a4( -z((g9wopjtsoath hb xm6 u0pi3cv*w ;xof $5.20 \times 10^{5} \; N$. 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 absolupy/c prm.a beysr1. :v+*n/ rf fjj,eeox1 2n,te pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surfa r +,n()np3)guwyyrb5 3 dnfldce of sea? (The density of sednb +5n3p )gyr u3( ,rwlyndf)awater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a ld -/ymtwcp 19,fow;b)awzej4 ocation 15.0 m below the surface of sea? (The denswm-y;1t9 bo 4wc ,dwa j/fep)zity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The small pistoqu ps2 tat ) *fs37f,;)jehcqfn has areau;) t)sa qhtfje,fs7p*c2f 3q $2.0 \; cm^{2}$. 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 y uq4a) h3unc2cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to lift a car 3q hnyuau)c2 4weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a f7x:,o m0 dfrf25 cm diameter hydraulic piston. What force needs to be applied to a 5.,7:0mx ofdfrf 0 cm diameter piston to accomplish this?

  The small piston of au8 vgue *hl(*m hydraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a g m8uul*hv(e* 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 inccrqd 4b 7c1t d9dr52 wsx f;8wf*-eaw water. What is the buoyant force of the water?d sc 4-7w2f8*eqx;wr atwd15 9 brdccf

  An object has a volume of za4m7bn3 u,mvrpn 1q7$4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supported by a stricktx1 -:v9 qyzng while submerged in water. What is zx- qykvct19:the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold idl. /o l el)xgw+.dv-ts $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (den+jx 0o* 3oghi-rv7o3 c-3aqzdvdjyh4sity = $7.8 \times 10^3 \; kg/m^{3}$) 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-j*,bf:u /asfk0oxdt ou7ue 8 when it is immersed in water. What is the specific gravity of xu:fooa/sue7 k8djf,-0 *b utthe object?

  A container of water is placed on a scale, and the scale reads e(pqz 8ck1o9r)3yxss7da th 1120 g. Now a 20-g piece of copper (specific gravity 1zko 937 d8ar)x1t cespsh qy(= 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 masu4gfk l+ms/u u j+1zc(s 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 diam h., qybde;t4vsrnrd41 ) aybjhx5x2+eter 2.0 cm will just barely float in water. What is its mass?+yybtx5 ,14j sv.a;4d2)nqbrrehh xd

  A rectangular box of negligible mass measures 5.0 m lon33oghez44(viz o*cwx g, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the c z3*xw voz(gh443oiebox 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 sur, kgi+wy1 1hf(ravc u-face of the water. The weight of the displaced1hwr,1 uvya i c-fg(+k water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the stcki*xopac7.)t-w x7ia46 ya urface. What is the object's density.ikaa)oxwt p-* 7ac6i4yxc 7t?

  A 200-N object floats with three-fourths of its volume beneath tufr.o4ni1cb,wi aj-;k d57s e y bh k-;/6qwjvhe surface of the water. What is the buoya dj 6;b qif cyevbk,r/s17 w4.j5haikwuon;--nt force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is thx(xjr q(l- o-i6 r+acse minimum area of the floe that will just support the bear in saltwater of specific gravi-q - +(ar jslixxroc(6ty 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a 75eg* voxssx6pipe of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is aq, g;m -xpaug6pu yk.6 2.0 cm diameter restriction in the line. What is the velocity;up,ap.x6gmuk -gyq6 in this restriction?

  Water flows at 12 m/s in a horizontal pipe with 0j +e dda;zb3bl6*h uinfn-1xa 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 pue/n+bvz uto(dz3 ;cu6 mp to supply a drinking fountain with 300 kPa, if the fouunz+e/oub zv6(3 td; cntain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs ins4efv6 u *pei hak+*(a the bottom of a water storage tank that holds water at a depth of 15 m. At what rate wil*haf4ik v ee*6+s(upal water flow out of the hole?

  Water flows through a horizontal pipe of cross-se2 qtl,g2klqv +ctional 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 vie3; y h(lsmd(iscosity of 0.20 Pa-s. How long would it take to pour 4.0 L of oil through a funnel with a neck 15 cm longdeh (m;ils(3y 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 of an artery decreased th 44ft94pl bh ,cazk *;)-riahnv07gpyk:xyzv e radius by 10%. By how much would lbg4 7hi0-xh4fvzc9)nprpvy:t*4 kk a,y;zathe pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placoog9b*7 3nys oed in a pan of water. Tube A has twice the diameter of tube B. If y39nbos7o *og water rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How ogib( 6.d uql:ea/bzzo7, z9mhigh will water rise in a capillary tube of diameter 1.9deuo/6 .ibgm,q7oza: lbz (z2 mm?

  232

  To what height would water at 0 degree Ce) sux3sr u. b/wq/:obklsius rise in a glass capillary tube with a diame:.u //ssx3 oqkurbbw)ter of
0.50 mm?

  A narrow tube is placed verriwo /sa)z+lv7 0nr q.tically 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 liqusnz wa.rrl/v7i0q) o+ id 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 -3jd93t bo2vv zlwlz4 a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force does the soap fil-zjbtw4 d9323vl lzo vm exert on the 0.600 m side?

  An adjustable rectangular frame d1h24m1amuodv2lwv o 2s59cs 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 bursting the soap film contained in the frame. Soapy water has surface tension 0.026 N/m. How much work is reqdvlsdhu9om mv2 c2 14 w12a5souired to move the adjustable long side so that the frame is 12 cm square?