The three common phas(53t:/0vlnxr hjrox hes of matter are

  Density is

  Substance A has a deny5 43guqkam: esity 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 e2lb.r2(f2iu wju*odyl ix hh+( z:g.pressure?

  Consider three drinking glasses. All three have ttkohlzf7) -u 96vqbt6he 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 wa7u 9k66fzq)tl-vo tb hter 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 outsid2s6xpntpds72 a25lvh 3 qz7uf e a tire called?

  When atmospheric pressure changes, what happens to the absolxjx imw).8osb b .a)1xute pressure at the bottom jx8x.o)b1am)is. xbw of a pool?

  You are originally 1.0q7 ko u3se p93 -6nxyp4mjwa/f m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pr n7w 6p3 /p9js 4y3qua-ekfmoxessure on you?

State Pascal's princiskpwon7),po 9 ple.

State Archimedes' principl a(0fjj cf//uhe.

  $50 \; cm^{3}$ 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, whex y,f j+u+pt y15/xreat happens to the buoyet fxy jxyp/+5eu+,1rant force on it?

  Salt water has greater density than fresh hrq0sa8v l6aj0d 9s 5mwater. A boat floats in both fresh water and in s0qrj5hl da 6sm9av8 s0alt water. Where is the buoyant force greater on the boat?

  Salt water is more dense tumsey p ka7952lmja mr2a* 4(fhan fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in thea292 m45jpkm*rm(a eu y7sfa l salt water is

  A steel ball sinks in water but floats in a pool of mercury. w7-s1o3tv*yuxsd q;yj ) (ry s Where is the buoyant force on the ball q)tx v-jsd o1sry 7*3 yu(swy;greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right nym2j/1l hlki2; br1 um6 nd6zjext to a 10-kg piece of lead. Whichym621 jjm b2l6l1;znuid/k rh has the greater buoyant force on it?

  A piece of iron restult9(l b /(jyos on top of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happej/u(lb ol(yt9ns to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits on top dazu;hzy*4*c e) m8 wvof the first piece, and does not touch the water. If the top piece is taken off and placed m4va)zzy*8w ch;eu*d in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of p4 r3q xlgjti+)ge;;othe pipe at point B is larger than ag)liqjpoeg4 3;;+ tr xt point A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe t87o5htr6v fgwidens to twice its original radius, what is the flow speed in the wider secrh7 65gvto8fttion?

  An ideal fluid flows 90jb) o8 fzmc.rmw)j ay3c eft ,-c7iwat 12 m/s in a horizontal pipe. If the pipe narrows to half its original radius, what ibom8 3j7 e m).rci9-f0)yfajz,ww c cts the flow speed in the narrower section?

State Bernoulli's princ83bzr9: , npso5a+ eth:ubgspz *gwb/iple.

  Which one of the following is associated 7f .gfti.ik* twith the law of conservation of energy in fluids?.tfii *tk.7gf

  As the speed of a moving fluid inc4e dpn d,tjsk/ggv 63y.u(br :reases, the pressure in the fluid

  Water flows through a ;z 8c0rlsnw1 j -,trvxpipe. The diameter of the pipe at point B is larger than at point A. Whezj-st1, lr cvnr;08xwre is the water pressure greatest?

  When you blow some air abo/z)8ke0 m6 9 lsviwjauve a paper strip, the paper rises. This is because

  A sky diver falls through the air at terminae1vmf o9 p. djp2k*j50(c sz6sn2lgo;rmfs:l l velocity. The force of air resistance on him i5 efsll 12jcsm*v0fgrpomp 9d kn:(.o 6 s2;zjs

  Two Styrofoam balls, of radii R and 2R, are released simultaneou -cr5/zrgrq *6m,m dmusly from a tall tower. Which will reach the groundqur m, r*zg-5rd/m6cm first?

  When a small spherical rock of radius r fallsg aoar v/1-xd d4x0z2g through water, it experiences a drag forxad2/g0 drv4 axo z-1gce $F=arv$, 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 through a narrow pi akbczyl4ieq m* 3qs3n +l(yr4z47fv /pe? That is, if you made a 10% change in each of the quantities below, which would cause thbq+yz4 3a*4y3 nsil/vk rmcq74zl (ef e greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diame7cs(j ckc, qs nikk 5o8ag-(7iter of pipe A. Water undergoes viscous flow in both pipes, i(nq- 7ckg,s sia75k( jo8cck 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 m ,2 ldpkfj+ xu6-vn1gsame diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subjef-n+g6vdm,kx 1u2 lpjct 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 tastx3.qhiuci:) u (4ma dses greasy. This "greasy" taste seems to be associated with oil spreading out all over the su )d43iiq.xascmu u:(hrface 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 rises to a heighajbd r;6upep4ng.2s+( *ikf et h. If the diamete+2d f.j *inabe;ppg4 seur(k6r were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight thahr hzs7a5scj.f( d+y (t 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. Whhy(7 .h f (rcszas5d+jat is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweight thlr/bikz0 2hrtl)2 +rs at they can run on top of water without breaking the surface tension. This is possible because the z0rbhl+/trkr i2 sl2)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 30.0 gq/) 6x cbq/kqpd1l4sxu b/k (h. What is its denkdbh x/b(1)k4/ ul xq/qcsq6p sity?

  A liquid has a specific gravity of 0.357. Whapdv82 b* uxo.h5ya-m1kgrdt 2 a/c n,ct is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.poe a8l11o2gp 00 cm. What is the maximum pressure it can exert on a horip8g1 ooe l12pazontal surface?

  A person weighing 900 N .,a3 25esugawk+5*qeg u en ezis standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) mutk+q ru ,q+;crst a submarine withstand at a depth of 120.0 m in the or+r ck,u +q;qtcean?

  A circular window of 30 cm diam. 7hw 2hbtfbu6eter in a submarine can withstand a maximum force owub hb7ft2h .6f $5.20 \times 10^{5} \; N$. 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 abn tipmf:tfc ao91 d7+.solute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (Th+q+n0g k i aguv)i(w-qe density of seawg(0-+qgi+ a )uknw vqiater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below themwiltzbf, /9, surface of sea? (The ,wiml , /tz9fbdensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. ay:y5-qd59/h-lobqmyegek/9 pnld 3 The small piston h3e/qn /m ll5g-:eykd5p oby- da9qh9 yas 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 the larns c.7 x8atac5ge piston has a radius of 15 cm. What force must be applied on the small piston in order to lift a car weighing 8aa . 7sxc5tcn20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic piston.6:mhn+sgxs:8 s6aq :1fuzp)b hkrzg 3 What force needs to be applied to a 5.0 cm diameter piston to accomplishbug ::8zx3sh:n6mfzk ph 6qga)+1 rs s this?

  The small piston of a hydraulic li,w9 wv58wmkgmkq:.lwm(so8 n ft has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15sm8w wgl, k(q ko8w.w5:v m9mn,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 weigw msv*( i uc0;./-trmu.jj e8jeavh -chs 40 N in air and 30 N in water. What is the buoyant force of the jua.ejhiv*vw s0 m ctr e.j8m-/( cu-;water?

  An object has a volume ofbvi+ nf7uu+ d k2:kt0a $4.0 \; m^{3}$ 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 whi nfp;gd,n8:dr+ qode0 4ufq1+a2 r1(a evmejxle submerged in water. What is the tension in the string? (The specific gravity of iron is 7.8d;:0odnqvxdn 8e+f(a,fm pr2r4jq ae e1+1u g 6.)

  If the density of gol w:/s6bp 4 paed/mlwu:d 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 (den9- d6n:cqh ,ag qdpw2whtb447jssi 1 esity = $7.8 \times 10^3 \; kg/m^{3}$) 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 a qco87.jlu/zb1rh -ue k :t-dond 6.86 N when it is immersed in water. What is the specific grac7luukh dbj8r-1oeq:/t. o -zvity of the object?

  A container of water is placed on a scale, and the scale reads ;stnoz*pj7bas w6 v, ii;tk76 120 g. Now a 20-g piece 6 , obnz 6kvwj;7t7ai*p;s itsof copper (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 8h-wfcx. c1xk.8baq9 orrf9 z v*,jas 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 barelyh63vcvl6 ( g0 uh+i y .4oqeykaz/k5kyl8k0jb float in water. Whhjk gkk60yzk65qv4h i+3 cby0uy.oel v/ al( 8at is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m9e *e7azy3u38 tyrervhg:i b( wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it s3t:y 89 ehev(r*g7iyz3 a rubeinks 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 iwckm e:av3)o/ts volume beneath the surface of the water. The weigem/ ) oav:kw3cht of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of itm4 qh;j m:qu1 fe-ler,s volume beneath the surface. Whate, r;ujem 1lq-4 qmh:f is the object's density?

  A 200-N object floats with thre,+ch7msp49jfgjqp ) hj ,dlm/jwd 57 ve-fourths of its volume beneath the surface of the water. What is the buoyand/,wjj mhjmq v, p5cl)d47hsp9 j g+f7t force on the object?

  A polar bear of mass 200 kg stands on an ice *fz m+b6 a 3o6xtl1wklfloe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of ice +kl*lz1m w6at3fo6bxis 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. Find the fll0zkw1d0 : (ycaou 0wk wif2ez;v3ax.ow rate.

  Liquid flows through a 4.0 cm diyjv2i.aqs(4/ c7as ab ameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction .q/b (j4a 7acs2si yvain the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a hn 34oijp9(e** di35e mrrhskgorizontal pipe 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 tak,gt o/ u8m,xnve for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.mo vnx/g ut8,,0 m above the pump?

  A hole of radius 1.0 mm vpv0uiw7b i;9occurs in the bottom of a water storage tank that holds water at w0ipb9u;7v iv a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizont9x h0oelja4 t9al 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 t81nv:ig1 ecmj k; oim)ake to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assume the surfacgmkj ;i 8)ve1om 1ni:ce 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 j2+ hbhute 0u: a+7 e2csruya6the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a cons es a2hr+2j 0c6 eytu:huub+a7tant blood flow?

  Two narrow tubes are placed in a pan of w -,jc+l:ymgm7 bzn6-fvl)tlyater. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how hig-m7l :lybn+lc6m j ,-vyzft) gh will it rise in tube B?

  The surface tension of water is 0.073 N/m. How p9qj,8pj2 zqq:efs 3w high will water rise in a capillary tube of diameter 189qs pq3:2jwfzpq e,j .2 mm?

  232

  To what height would water at 0 degreef37sg5 tnul +k Celsius rise in a glass capillary tube with a diameter of3+g fs5u7lkt n
0.50 mm?

  A narrow tube is placed vertically in a pan of water,e/zd z ro*-zx( 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. What hae ozz( -*/xrdzppens to the height of the liquid column in the tube?

  Consider a rectangular frame of leng-l ;u8iy, on(wx1at +w;(up v(uwugm ath 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260((n8;+l(1vw upxu i; yuotuw-magaw, 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 is built iewgpzv44o) g- 2tr2zan 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 -tz2gr gep )v z4w42aothe adjustable long side so that the frame is 12 cm square?