The three common phases of matt0p(pac nkv:dt /qgtb5f.7zh1 er are

  Density is

  Substance A has a density6llbmz,su-cl*yt 6)r 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 followii , ;yws-.v7 iswnzfq: (tfs(gng is not a unit of pressure?

  Consider three drinking glasses. All three have the same arlq2 sx2,f( pouhy )7biea 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 the22q( ,)oiluhxby7 pfs 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 an1tz0gty9 tj 2fd outside a tire called?

  When atmospheric pressure changes, what hk7iip3 lrz t)*appens to the absolute pressure at the bottom of) p3lktiz7r*i a pool?

  You are originally 1.0 m beneath thepg,uvkukt8b1nk6163i a hch 40cgo4yjz d2 u5 surface of a pool. If you dive to 2.0 m beneath the surfu6cuc3o0n6 1huztbg d k15hyk2k84ag jvi,p4 ace, what happens to the absolute pressure on you?

State Pascal's principlegpsxw6x-y1yp3 2 c3fd *:ijys.

State Archimedes' principlhld:(vsno2 + le.

  $50 \; cm^{3}$ 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 d+4m qx- z)*8kb5o,pf-ufy ij7 mgkqwx eeper into water of constant density, what happens to the buoyant force on if,)m i-q ukk58gb4qf7m + x*oj-w ypxzt?

  Salt water has greater density than fresh water. A boat floats in both q- bsbhc)g 9v lid7crt/l/ cc0(:qo.e fresh watqsbq(l/ bcg)7ri.dce/0vo 9: h -cltc er and in salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than freshyk76 mu:6pyj.uh nb8 km2f rf3 water. A ship floats in both fresh water and fb8jhn6kmkym y 3p u.6rf2u7: salt water. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. W ( z(16lzbe;owh;+ivvqcp/pzhere is the buoyant zhv61;bv(pi;w q o lp(z+z/ecforce on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, rekmakh. 8j0vgl r6s1 .ight next to a 10-kg pi0gra6 .1 sjm.vhlk e8kece of lead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood f 1qlkn3;4 lgorloating in a bathtub. If the iron is removed from the wood, what happens to the water level in3g1q n; l4lkro the tub?

  A piece of wood is floating in a bathtub. A second *a 5dk nfkf0 l6o2se+r5uo :2u whedt-piece of wood sits on top of the first piece,e5: 5u*fw 2s+rtd2o0dn6ulo fkkha-e and does not touch the water. If the top piece is taken off and placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of thu)9.zo i3573kv ch5hkozdrf ge pipe at point B is larger than at point A. Where is the speed of the water 5uo)zk 3g3vfi9 d zh.k5co7hr greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe w s qcu;0aw5gl(idens to twice its original radius, what is the g5q0s ;cua(w lflow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrowq* d5n.ol 7wfkdh7w /p1/y tuks to half its fw1u wdl/k.noy7hq* tdp7/k5 original radius, what is the flow speed in the narrower section?

State Bernoulli's prinjf(x4ig a;b.4 im2tn kciple.

  Which one of the folgn bsfl85- n2l l q rmj..4kvc64zdi)alowing is associated with the law of conservation of energy in flm av .djl- 5fcn64izb)lg8qr 2k4n ls.uids?

  As the speed of a moving fluid increa4q97b;u fd+x1 yl wuwvodin(7ses, the pressure in the fluid

  Water flows through a pipe. The diameter of t5udsu v 3:d2p h/ayt(; cighs+0 7ecjnhe pipe at point B is larger than at point A. Where is the water pressure ghd2pue s(c07+/j5a3uinc y;g stvh d:reatest?

  When you blow some air above a paper stri.0vcj.jb8 ge rp, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of air resz;dtbolx *6 t+e)m4 ppistance on b64zmpxt)+ptl*d ; o ehim is

  Two Styrofoam balls,q/ 6o 5nfgspk04myy04h-( -o dzcni dq of radii R and 2R, are released simultaneously from a tall tower. Which will reachoz k -g4/yy45so0 q6cq df(in-h0mdp n the ground first?

  When a small spherical rock of radius r falls through water, it;z;;c0lc7jggb xlgc*zd / rg 2 experiences a drag forc z*7g ;xrb;d g cj/2glzl;0gcce $F=arv$, 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 t2qs.c6,oora /l: tll,(dqcwghrough a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would c2 /cl .,lra (:lsqo6o qgcdwt,ause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameter vs scdr)5f*; kof pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure ds*; )5 ksfvcdrifference 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 is zk7bhr4xv(1 w /chyd/twice as long as pipe A. Water undergoes viscous flow in both phczd(/4w yb 1kv/r 7xhipes, 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" tastekn/tx4lp3l/n sx;5 pa seems to be associated with oil spreading out all over a /nxt;3xnpk 5/p4lls 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 water ro)4w+zzm9cgd :5vgzbh2 tjf 5l5dx ;s ises to a height h. If the diameter were half as great, how high would the sbcm 5ldf; +gtj:9245hwzdv5) xogz zwater rise?

  Certain insects, such as the water bug, are sufficiently90ina3tj8 h oa 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 as lon3 0ot8ajhi9 ang, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweigrln-w 1aw26 tt+5ri vfnt4 ii-ht that they can run on top of water without+ w61-via2il4f -5rn rt wnitt 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 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 3hs5y vh2yuvuq-6+3 tt0.0 g. Whtyq+-u25 3hy6 sv uvthat is its density?

  A liquid has a specific gravity of 0.357. What is u -y-e2,/piio oijf1fits density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. w neuea91kl2 (al1 +ngWhat is the maximum pressure it cu 2lwg( leea1an9+kn1an exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has ar +e(+(ghbifw ,h0u-w jazfa 9+iylbc 3ea $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a suabyp(wqqtz2.u, t2 j0 bmarine withstand at a depth of 120.0 m in the ocean?.z2qay,qtjuw (pt 02b

  A circular window of 30 cm diameter in a submarine can withstand a 9/p nl*xgychwrp; .r,maximum force . nl ;9ry crp,gh/*pwxof $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge prrmio:0 00o , -blfxs, : y2xqrqmn8vmxessure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location -0)ho lz/maua6+fjip e dt dx8;x8b )w15.0 m below the surface of sea? (The density of seaw0lb+ddea)utz 8/m ahw ; jpif x-6o8)xater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m /1t nfmn+;/xz j c/el ff-0xdqbelow the surface of sea? (The density of/dem+ f-q; 1/ xt/jcxznfnl0f seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The s.y /vg+ yr0e/rtts 5bmmall piston has area .5 egrt yrbsym//+0vt $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small pisto ruiq x5/0lja8x;k gp/n 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 car weighix8j5xq0k/prgi/ l ; uang 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic piston/j ;ekqhyz(d18m hpoz3:m7wg. What force needs to be applied to a 5.0 cm diameter piston to accomplish thi1mez: gqjo/8m3hd;z(k7ypwh s?

  The small piston of a hydraulic lift ha6qkbx s ba4-r1s a diameter of 8.0 cm, and its large piston has a diameter of 1rx-qabb 6ks4 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(x iqac5x fp*/ and 30 N in water. What is the buoyant force of the waa5qi/* fxpx (cter?

  An object has a volume *h xgw8st:qn* 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 support::mycqj) a))sr sn nc.nc8 lh;ed by a string while submerged in water. What is the tension in the string? (The specific grhqslcjnmr;ca )y.) :c:8n n) savity of iron is 7.86.)

  If the density of goo t z66*wdbvaaq6w g-,o c)k8gld 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 (densim( rphr2d )ox8ty = $7.8 \times 10^3 \; kg/m^{3}$) 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 in5j yv(m :2qeef42lolgb 4a(z-t xm yp;5vrw(v water. What is the specific graviw bylfl r-v (2mg vype(j4 4oa:vz(e5t5;2mqxty of the object?

  A container of water is placed on a scale, and the scale reads 12-5 y8vdm9n80pfzykf crf6 l a40 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the waterrvfdc9ff6mp 0-k z5n48yy 8 la, 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 density f2xn;i +d1fihw(5t rxof $2700 \; kg/m^{3}$ 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 aqvup s4m*v495rq p;wl6p w.y lnd diameter 2.0 cm will just barely float in water. What is its mass9p.sr*qp;q5llv4y4pm6 vww u?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wp)1y9*66jndj4w6dr q ezhg 5m+zf pojide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks ihj4 qdmz*oj6 gz r1dfn65 y6p)w9je+p n 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 sc 9jfkrb 0z muh 0i;5r)x.xn-eurface of the water. The weight9x-zux5jh0r 0 .ceb n;mr)fik of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-f n4*ga2:mr6 hf6 rom+td,lsgbourths of its volume beneath the surface. What is the object's d :d624m g*afg+ oshrnrb,6ltmensity?

  A 200-N object floats with three-fourths of its volume beneath the surface oegog9a+w 7s o(e(w tu3f the water. What is the bu3 w9tg7o(esaw(+ o geuoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe u 7utl*7x9 i ;)qzlnhy100 cm thick. What is the minimum area of the floe that will just sup*uyhtu;9z7lxqil) 7 nport the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3 * 5k/2-ggue4 izhdbll.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/sydhk dw/ 8hzefou.2(+ . There is a 2.0 cm diameter restriction in the line. What is the vel(hudkd 2f whzoe+ 8/y.ocity in this restriction?

  Water flows at 12 m/s in a horizontal ojp zzhtoxp(* y859+upipe 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 take for a pump to supply a drinking fountain with 300x9 fzu4lj04p+axvq ;nw k2yj,5xi.b s kPa, if the fountain is 30.0 m 4 ;yxp0xi5zlbskuw,42jv.n qj f+ a9x above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tamoyh,u 39jif(ud,2w cnk that holds water at a depth of 15 io fu d,,u23j9cm(w yhm. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectiobqjzos*y eg 1l9m,h6,nal 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;cz dro* / hf6.y5evkb 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 ;ycvrzbehfd5/.o6 k*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 *zra a.*ze s,dof an artery decreased the radius by 10%e z s.rd,*a*az. 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 pan7;jj+ af/ wr;vxkv ae3 of water. Tube A has twice the diameter of tube B. If water rises 24 cmax ;v7 +vwrfj3aek/j ; in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073l4vz bcijk462 N/m. How high will water rise in a capillzblk4v6c 2 i4jary tube of diameter 1.2 mm?

  232

  To what height would water at 0 degcd7)lz zr p d6bv g/ei:(k(*niree Celsius rise in a glass capillary tube with dr7(vbz6ig)clpk *d:(z/ei n a diameter of
0.50 mm?

  A narrow tube is placed verticair4rjb-j4fw: i0p 68ncd8r zr lly in a pan of water, and the water rises in the tube to 4.0 cm above the pwi :r -n0d4i6jzrr8j 4r8c bflevel 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. )x3)cv04zhif s ke8rypwa9+g 120 m and width 0.600 m with a soap film formed within its confined are09pfrzgeiv xa4w8ks ych)3 )+a. 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,y 5c4eyz0fqz5 rv)- wm 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 the frame is 12 cm5)-yq4e5m ycr v fz0zw square?