The three common phases3xnd f u :2wtyxr0yh)6 of matter are

  Density is

  Substance A has a dei 5pz)sl7 b3ninsity 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 /q3yyl z 8 nfg dd;z9th8vyx+4z0xi0dnot a unit of pressure?

  Consider three drinkinj0vjv3tp x qqup.h/7(g 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 at the top than at the bottom, and so holds more water j pu 7hv(0qvx3/tp q.jthan 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 pressures*.8ql8xswi v: * qbsf2ty:ohe inside and outside a tire called?

  When atmospheric pressure change rtyep noczy(:l400 (es, what happens to the absolute pressure at the bottom ol:( ze eyy0(opnr4 tc0f a pool?

  You are originally 1.0 m beneath the bf;15 wy im;jnig:rcw sq+/e3surface of a pool. If you dive to 2.0 m beneath the surface, whaqe35 :f gi ciwy;br+;1sw/mn jt happens to the absolute pressure on you?

State Pascal's princ7*h;a v lt(2 1vpnqwvuiple.

State Archimedes' principln u)o2-5tv/v rp)fv(ie(7 qe4bga ocme.

  $50 \; cm^{3}$ 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 qj; v2 pbbucx 5z2t/3vand deeper into water of constant density, what happens to the bu/cbz;53bq2 p ujxv2t voyant force on it?

  Salt water has greater density tsomxl(edp4 st()9t+yq6h0uv efa,hv v/, u 0chan fresh water. A boat floats in both fresh water a cs (fm/p v4+6(0tou,ee09qvh,htxsu ) lyd avnd in salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than f-c2g:qko0u)h *n.pbi juu7xlresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced inqn lpukx02-jchg:7b.i )*uu o the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where is the b nbytm5) z*4kyuoyant force btny5zk* 4)ymon the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lakenc ,e/ )0fasze, right next to a 10-kg piece of lead. Which has the greater buoyane,f e/ zasc)0nt force on it?

  A piece of iron rests on top o i co6,p,;kwehf a piece of wood floating in a bathtub. If the iron is removed from the wood, ,ohp;6wkcei, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits on top xpx;zf6rv(ti v)rtp(cp.i )f-7gkw 1 of the first piece, and does not touch the water. If the top piece is taken off and placed in the water,fz61cpv)( (wrg .7i xpfx-tp);rv k it what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B l(.f2 q)h:f rbx7q-ygm0lvzz is larger than at poi).qbfz: v0 (zm-xhqfl2y7gr lnt A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to t a2j/(tgis 1+gsj 0e-2 iyqzomwice its original radiue2o(z s+0it1mg y/gsj 2ja- qis, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pi .d(jsf1;r u5qw z,frrpe narrows to half its original radius, f5.,r1 w(rd ;qsfjzruwhat is the flow speed in the narrower section?

State Bernoulli's principle.xjiys9+gs d 8*

  Which one of the following is associated with the law of cons wf(use k sd*ed8)n0h7ervation of energy in fluids?n s)d(k de*hs8fu07ew

  As the speed of a moving fluid increas9)f1r s iw +i:ku kbnz.(dlu8ses, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at poinka n iptah;t*e)wj(9wq14 3pvt B is larger than at point A. Where is the water prh *)3( w;jp qt9e1ap 4niwvtkaessure greatest?

  When you blow some air above a paper strip, the paper rises. This is be n35bxx9*kcoh1k40sb h 2cfkrcause

  A sky diver falls through the air at terminal velocity. Te(34mk o c )(gf+qmmjlhe force of air resistancmgm4+f(c mk)j(le q3oe on him is

  Two Styrofoam balls, of radii R anungkd14/thu2hch o *4d 2R, are released simultaneously from a tall tower. Which will reach*4dunth ug1ohk4 h 2/c the ground first?

  When a small spherical rock of radius r fal1 -qja.hiv 1xcls through water, it experiences a drag forcqv11- aijc xh.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 eff7 :- p*0biy:oxwytrossc* b3 rect 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 cause the greatest cc 3swp sobyr*:x7o*t 0ibr:-y hange in the flow rate?

  Two horizontal pipes are the sameh+sz5vio7 qs gn682j n length, but pipe B has twice 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 flow rate i gnj8v7zi+2o5s q6hsnn pipe B?

  Two horizontal pipes have the same i *eogwaywz.hz.s aerj. 8::;diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the leng h yzaa iwo :gj.;ze8wer.*s:.ths 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 often8p+4(r27k a u dqvf9f-igakr nt+eh 1t tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surfachvdref7 k8 f+n ut-t1ag(pa4+ir9qk2e 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 ithjd, 6f7 + h0r9e(o yu-figfxn g0ii+n water, the water rises to a height h. If the diamegiug0f-r,f n+ eh 6+ytx0joi h7df9( iter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight that they ck7rq8jzi wop *+m)5 wwan run on top of water without breaking the surface tension. Water bug A has weight W. Water bug B is twice as big as +mwkz *p 7ij8)rwqw5 obug A, in all dimensions. That is, bug B is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water ty* (9 r;kdxsmbug, 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 botto*xs ;dytkr9m(m 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 dime3qw*t nrzw3tvk8i(3 6c oi-rfnsions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What iso n3wkivc(3tq8 iw* t6-rr3f z its density?

  A liquid has a specific gravity of 0.357. What is its densityh2lu 6 ;bi*ze gzdzw)97zbs*a?

  A brick weighs 50.0 N, and measures 30a.i 4ni )lywrzvt /ed5 v1(6ot8 * sgl.if8umi.0 cm x 10.0 cm x 4.00 cm. What is the maximum nt1y .izri(tv)li8e udsl*w ia8.5 m4vfg /6o pressure it can exert on a horizontal surface?

  A person weighing 900 N isidqpbya05 nfk9t) t3g *o jutflwuy 6 0/3uy:. 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 del g( v:cfhoo:xy tk 9y*-(hf+ypth of 120.0 m in the ocean?: : +loyy gf(tohxf 9-yv(ch*k

  A circular window of 30 cm diameter in a submarin4k :82 y fhntpxtzi:o1e can withstand a maximum force of8 4p1 2fztt kxy:in:ho $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressum.6c;;, q-1rfr0z7 p )bnltoiqzwppyre if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 1 : 04vqan:w4acpq -kej5.0 m below the surface of sea? (The density of seawc4:qak4v :0np -jaew qater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure .mzbmoea.r1 msw6b6 7 at a location 15.0 m below the surface of sea? (The density of seawater ze rabm.wo76bm m1s.6is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small pisto/8wswh,bb9 j c-xec7b n of a hydraulic machine. The small piston,- s97cb/hbwb ewj xc8 has 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, the smal6a p;ey*8iiw.u)i l6 /r almlll piston has a radius of 5.0 cm and the large piston has a radiurll*wu i ep86 .y)ia/ll am6i;s of 15 cm. What force 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 mri))1q2ogl2 ) h yki)pyb8weto be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to ) 8) y)h pm2wlo2b)iq r1gikeyaccomplish this?

  The small piston of a hydraulic lku9 09 f0q6upvdl4eblv bsy)7zs*v5 2xle ,emift has a diameter of 8.0 cm, and its large piston has a 7yv *dl vxb9sk24 ,spe6 eqlvu 09lzm0f 5eub)diameter 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. What is the ;el7jnmqz4vm i 3 ,s9nbuoyant force of the watnqsimne7jz 3m 4l;,9ver?

  An object has a volume or8an t t0a;af*j;b4 ruf $4.0 \; m^{3}$ 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 while submnx v5 -u(odgd6erged in water. What is the tension in the string? (The specific gravity of iron vu56(dgxod- nis 7.86.)

  If the density of gold is q *r9lgr09jid0 ,celd $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel subm2k-jvd -eb-iyy: - ems3wa3k ebi9j o/arine (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 i ej .ub)ihx xo;hpvp*a94m ;1is immersed in water. What is the specific gravity ofu9 ahpb4m;; xiij ovpe1. x)*h the object?

  A container of water is placed on a scale, and the scale reads 120 g. Now a j3 h*-9jp 5lsixx;ifb20-g piece of copper (specific gravity = 8.9j xlh* f;si9ji3b-xp5) 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 1.5fujro3uk r 2,v-k8mq 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 will just ba -1w ,z,67 fxbdnpnh:hr2ntparely float in water. What is its mas7p61zx,:p aw ,2nd h-hbftrnns?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 ms2p s3x g, xrie:vc1b8c6en5k) kt, tm wide, and 0.50 m high. How many kilograms of mass can be loaded on:ek 2k5ei,cnscs )8gxt1pbvt3m r6,x to 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 ,brle.w o ylv8/c wm/t;6es (,ikjxq-water. The weight of the displaced water is 2000 N. What is the weight of the object 8sv-w/ xye .qwl ej6 ;mic,lrob(,t/k?

  A solid object floats in water with threq1oem- uuj )l)wmh +dqwf(2x3e-fourths of its volume beneath the surface. What is the ob 2-qomh ( fe 1xuw3qdjwum+))lject's density?

  A 200-N object floats with three-fourths of its volume be4/cz:uv3;ps+ ovp v qxneath the surface of the water. What is the buoyant force on the objev+ pucz:p3 s 4v/x;oqvct?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is the min*jwt-yz8i0j 7e,hm uaimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gru7, jy- h*at mei08jzwavity of ice is 0.98.

  Liquid flows through c6 txcqpdh(1g5+-bpwa pipe of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipz*5n:po *wrd re at 1.0 m/s. There is a 2.0 cm diameter restriction in the line.*z 5wo d:*nprr What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with fav+ seug9e:7a 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 do* 9j rravq6)rmws.ik lq3t nflzl 82(0es it take for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m aborf8*lijwskq 6vt(n. 90lr23qamrz )lve the pump?

  A hole of radius 1.0 mm occurs in the bottrb nrrczsn);:bb810 s u i+v+som of a water storage tank that holds water at a depth of 15 m. At wha8 z;cs+inbb+ 1 rss0r :b)nrvut rate will water flow out of the hole?

  Water flows through a h: xi2- cgl75du*bdrz 3t*bglaorizontal 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 of 0.20 Pa-s. How long would it take to po/kjnvub .+vl6ol m )w0ur 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 neck, and negllm 6. )okbvljnvwu0+ /ect any drag effects due to the upper part of the funnel.

  Suppose that the builds9tsby ) ,4fs,ggchn1f 95pm y-up of fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a ch ,s5fmgs9 gfyb,ct)4n psy91onstant blood flow?

  Two narrow tubes are placed in a pu xt0:o)tm7zhan of water. Tube A has twice the diameter of tube B. If water riot 7 zhxtm0u:)ses 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 will wa;c4mhm.ih-.a( c.tr kfe ) akpter rise in a capillary tube of diameter 1.2 me a chp-h;k)c fr.i(mta4. k.mm?

  232

  To what height would water at 0 degree Celsius rise i4yk:6vv./(hr iact 6 gou,uman a glass capillary tube with a diamuckt,m4vaga6rv y/h u6 (io.:eter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water.jb0h 09)oiipahh *qd , and the water rises in the tu9i j.h0ihq*bpo)da h0be 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. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and wi3yma:hm3gc3 ddth 0.600 m with a soap film formed wm a33gmchy :3dithin its confined area. 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 width 5 cm, and ey ilbvj*: ul/27 qf1bis 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 adjus1qu/jlv7 b:2l*e yfbitable long side so that the frame is 12 cm square?