The three common phas sdtf(2gf-ut 3es of matter are

  Density is

  Substance A has a densicajcmjjt 9s;l:a.+ k ,ty 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 pre)k1 f hm :aj2.)xcs+gsre sqb:6mmre 8ssure?

  Consider three drinking glasses. All three hampw g) 7fbgdc1;se04q ve the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is gw4d01 p m)f bcgs;qe7wider 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 between the pressures inside and outside a tire cdc .sv gklq0fy0p b()e:c h5;talled?

  When atmospheric pressure changes, wu v uesr5;lixv3 d3)6ihat happens to the absolute pressure at the botti;uxi 5l)r evs3ud6 v3om of a pool?

  You are originally 1.0 m beneath the surface of a pool. If yoh 7-8fi-ac58aaz nctm u dive to 2.0 m be ac az5 ni8m7t-8hafc-neath the surface, what happens to the absolute pressure on you?

State Pascal's principl nn148y;wjw mre.

State Archimedes' principlecvjh f lt2.oml2j74z )0xm; ev.

  $50 \; cm^{3}$ 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 dp5 z9ah7hz;5se/ cjw yensity, what happens t;5hcez wa/ y7p95zhsjo the buoyant force on it?

  Salt water has greater density than fresh water. A boat floats d(() /j5,ocvgi:ij nyq6hlg b7k h5 tmin both fresh water and in skn7h6 v,(jib5d gl(j)hc/o mg:qi5y talt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh water ankhp ;fxhg x:v8-3dbn n9j :5mad salt water. Compared to the fresh water, tp8n:9nxb;3 : vjd- 5mkxaghhfhe volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercurrpbau to //rh4;9aw2 xy. Where is the buoyant force on 2atawh x p ro9r//;u4bthe ball greater?

  A 10-kg piece of aluminum2s/:mno mcyh ;yy 7xc835kykx sits at the bottom of a lake, right next to a 10-kg piece of lead. Which has the 2 yk x 5csc/h k8yo:m3m7nx;yygreater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If thed(d p3dnp3+ ko iron is removed from the wood dk3od+ p3n(dp, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sitsuzinc6hu :1 (4 ivbj-z 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 injzcuuhi:4bzi1 (-6vn the tub?

  Water flows through a pipe. The diameter of the p(ted 4jh-/s zfipe at point B is larger than at point A. Where is-/( z ehftjd4s the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. kdci(g-e7.*bz9 i ngq If the pipe widens to twice its origina -k(nb.q *igcigze 9d7l radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s -e w jum2z:xp)l :tnm*in a horizontal pipe. If the pipe narrows to half its original radius, wh)mjz::t 2peu xnm-*w lat is the flow speed in the narrower section?

State Bernoulli's prin dt/ s4u zu(r;ks+p7kxciple.

  Which one of the following is associated with the law of ,d dcxx( x:c*kyq tl /+vrh6h-conservation of energy , r*xch q(/hvkd lx+y6 t:cx-din fluids?

  As the speed of a moving flul;g.rrux/: z .r xc-akid increases, the pressure in the fluid

  Water flows through a pipe. The diame)wblf* jdu:kc*w6t +oter of the pipe at point B is larger than at p+jutw*w*: locf )6 bdkoint A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is b*yfktq ruc5z6 c;v7*bu.ucz ;ecause

  A sky diver falls through the air at terminal velocity. The force of air resisz(19me1a s1e h hn(ktgta1 ha mgnk (tse1e91zh(nce on him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously frcoc8t 3dv ip*k5sy/- .dzh;.l , qlcznom a tall thldv 3qc*t .8nz o k ;zp,s/l-di5.cycower. Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it e8pi6y +rvpz mok:2q;pxperiences a drag force rv+z28opp: qy p6kim; $F=arv$, 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 effect1 k)ftkcy7vnmeu)ii:up u3 50 on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities belouvpey)3k0mu it fk57n )ic1u:w, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the samef5l 7 9gz7lqpc 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 lecp7l95fgl7 qz ngths of the pipes. If the flow rate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes rid3 at(+bm*bsoa 8k5have the same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the sab 5k irsa3toma8db( *+me 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 to be as(w, 7g/g azyds;c3cptsociated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", d zpg7y3sg/at(,wc c;this is readily explained in terms of

  When a tube of diameter d is placed in water, the water rises to a heightwsz p vv6h sx3y +: 3gbtzqa0v er3a-:scm,8v2 h. If the diameter were half as great, how high would the watez -a3sm+ehg ctx03 w :vybr,v86pa qsvzv3s 2:r rise?

  Certain insects, such as the water bug, are sufficisbaw cg/xg7c*6 uu.rw-cjlw rjf 5/:+ently lightweight that they can run on top of water without breaking the surface tension. Water bu +j75gcww*bl/wj f-r/us:6 aur .ccgxg 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 of bug B?

  Certain insects, such as the water bug, are sufficiently lsda3yjz-0zj8 w pgi */ightweight that they can run on top of water without breaking the surface tenp*szy /3azwji 0j-g8dsion. 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 upward force on the feet of bug B?

  A plastic block of dim(n)/zcf-oeq2,nmb*2 *xv3on vprw nlensions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is itsnrowl 2v(n)b3*f/x znmc qo2e, vn* -p density?

  A liquid has a specific gravity of 0.357. What is its ds4mq, kmsbxf)1xl2 qa026c waensity?

  A brick weighs 50.0 N, and measures fgof)ro2latu0/+ f9 pl a+ )vw30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizo2lw 9ro fgt)+a)0fa/l+fuovp ntal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe ha6 )hi te0qrbc.s area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a sub ok7flby zu/*vpp*pk1 6muf0 w)p:lk 8marine withstand at a depth of 120.0 m in the zl6/8w0bmkp :* ) *kpfp uo 7fuvpl1kyocean?

  A circular window of hk1t8j p+ojy (cc8ns330 cm diameter in a submarine can withstand a maximum force o c8 (8hkojyj3s1nc+ ptf $5.20 \times 10^{5} \; N$. 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 pressureg0zu;y-xssh33 r51 xbivq:2 d jzxeo, is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface :rf dck*b7;ib;u4 hav of sea? (The denadkh ibc7 :*4 brfv;u;sity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.6gw+pnfoye ,(;rh , lg0 m below the surface of sea? (The dene ;,nwr6y ,+(ggphfolsity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on ;)f)c 1lgsb urthe small piston of a hydraulic machine. The small piston hcg ;lr)bf u1)sas 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 small piston has a radius of 5.0 cm and they1c6 tv+f vb7u large piston has a radius of 15 cm. What force must be applied on the small pi6cf 17bvy+tu vston in order to lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be tzm( l,y.7zm4i4x u-*jervwh lifted by a 25 cm diameter hydraulic piston. What fo,4- x*zyjwhzm4 iue.t(r7l m vrce needs to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large :h1u eiwnfm40 xt 6n2vpiston has a diameter of 40 cm. The lif2 vwfn40te x1h n:6iumt 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 buoy oqbf-lqo4: qw8* uvo sg15)slant force of t)8*vo:uoqso 4b-s5glflw q 1qhe water?

  An object has a volume of0 aqu4 gg0,bxxqa3xs) 0 dmxu5 $4.0 \; m^{3}$ 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 subme(gjsql3w8aqmb7ce 2nyv/ 045fc w+q zrged in water. What is the tension in the string? (The specific gravity of iron is 7.84c80 nq(wf 7a/z q2ge3cs+yw5vlm jqb 6.)

  If the density of go2 ;wwxfew;u 5t wszx5mcz 0d/6ld 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 subm *l :bhll.0: zukk)4jsjf c/l9 ewqcb9arine (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 f46qekd 7/ e5 scay ,fwkq+zoh30-foh is immersed in water. we y h7 qhkfz/3,65 -sqcfk+ 4ao0odefWhat is the specific gravity of the object?

  A container of water is place6dgm-t,i ; ytvd on a scale, and 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 water, m-v;t,g idty6 not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a uq9ao0;.0xh:v( y 2ymgvh dzzmass 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 diameter 2.0 cm will just barely float inf d(d -gr.sxd2 water. What is its sfr.x2dg -(ddmass?

  A rectangular box of negligible mass measury kbjba2 .(rrmj 74y ((dizsp7es 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it zi(( bray7(pyks d.7j2m4jrbsinks 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 wituadu -vu::/f +7(c 8wmhcjeysh half its volume beneath the surface of the water. The weight of the displaced water is 2000 N. What is the weigmw/y-dsu c+ av8 (juc::h7feuht of the object?

  A solid object floats in water with th hda2hn(iw 5y+ree-fourths of its volume beneath the surface. What is the object's inh 2 awd5+hy(density?

  A 200-N object floats with three-fourths of its volume beneath the surface of z;b10*itffe-ufpn ah c nzducc 0,+9 (the water. What is the buoyan cac*+ p1b0n,d- z9;tzefiu(uf0hf cnt force on the object?

  A polar bear of mass 200 kg z2 00tinl f+ q9z/vnrcstands on an ice floe 100 cm thick. What is the minimum area of the floe that will just support thlz2cq9i/t0 zrf+vn0 ne bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through 1;scx*op;ohhuz e1s4a pipe of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at(t koev(t1ka/ 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in th 1t/evt((kk aois restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure 4j98bohplp-* qlku .hof $3.0 \times 10^4 \; N/m^2$. 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 pump to supply a drink4x hguz3+ 3pzeing fountain with 300 kPazgp3+e4 3zuh x, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm oc)qvph;flk0 hj. a);i jcurs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will watef0qjh)kl;a)i;.h jpv r flow out of the hole?

  Water flows through a horizontal pipe ofpci (/6as erm2u yvg/; 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 tax1b vf-j zo rae/s0;+hke 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 necko vebzraj+sx h- 1f0;/, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up onjx p* 1v (atwfx :*nyk0yr)n q,xl.6rf fatty tissue on the wall of an artery decreased the radius by a:q(x.0yt1n*wrp,6 *k lxf xvjn)rny 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 pn,t 7 wbxr13szan of water. Tube A has twice the diameter of tube B. If wabwxt7 r s3zn1,ter rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m/er/agend4 s oc.; r q5*ul*db. How high will water rise in a capillary tube of diameteuqrs drc*e5/.d ; nl 4*/bogaer 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a 46 uz, egl*z/cv7hg npr5q +w-gjt+dlglass capillary tube with a diameter d5g pqz6ut n+rh/lj,7-z4* lvc+egw g of
0.50 mm?

  A narrow tube is placed vertically in a pan of waterk+(yxxbp,7ixz2 ,wb q , 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 oqk+bi w yxpb,z(7 x2,xf some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and wiq3ljd(jod;uv /ekue0:/3uqs dth 0.600 m with a soap film formed within itve3 :seudj uqkj0u3 oqdl /(/;s 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 hasdzd -j- 9ao;hidr(* hyf3i/eh 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. Hod hhyhd ;(zr *d--ii9 /oje3afw much work is required to move the adjustable long side so that the frame is 12 cm square?