The three common pha; dr ,zk l((zptl 7mcx94lv,ipses of matter are

  Density is

  Substance A has a density oxefv3.kz+5 upe e6n9t f $3.0 \; g/cm^{3}$ 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 pres .erl18p;p dsasure?

  Consider three drinking glasses. All three have the same area bas4f w1k9 ,onv*fw co7uo7:qe t msl)z)se, 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 wat tos wso):77f9)cw zu fek 4nolmq1v,*er than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressures i:i -aiu+gq* jjnside and outside a tire called?

  When atmospheric pressure chahq4 m pltdnnd9g,)9) b)yaq3s5tlh7l nges, what happens to the absolute pressure at the bottom oy l)ql)ptn,n3 )h 4d7t9al5q mhg 9bdsf a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to nia-h.mwvir19via-i -zy ( ) e2.0 m beneath the surface, what happens to the absolute pressum r via-i)(h.yw91- ivnz ae-ire on you?

State Pascal's princk ty-o4o1d)zt iple.

State Archimedes' princh eg731l 9bmvd+w*mz;jsyt/ hiple.

  $50 \; cm^{3}$ 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 consu n41 ax:cm 92ku4btsptant density, what happens to the b92kn a:upm cx u4b41tsuoyant force on it?

  Salt water has greater d: v)+p cf3rrddensity than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the d r)v:pf c+dr3boat?

  Salt water is more dense than fresh water. A shipc+wgs6 +1w hhapeoj 8/7wj2xo floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced 6a+xp7w/o 1hwhojgwej+c8 2 sin the salt water is

  A steel ball sinks in watc 4:yr zd 9o5,x6xgi-d oep7uwer but floats in a pool of mercury. Where is the buoyant dz5 x,y7xrcudg-ioe:49 6pwoforce on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-k md;8yl,6ta w+z4scu m)l -ewlg piece of lead. W6m ,;l y8slz+wm )aledtc -u4which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in -n-buk6anfl:gcs2 3k a bathtub. If the iron63a 2:s lubgkf nc-k-n is removed from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second pie4o7wdm-sb hu*x,x v;m +pkieu k-t::g ce of wood sits on top of the first piect7;ov md xh4xe-i:: -gup+mkws*b uk,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 ;.v2ndz f+rwc 9 /puiaa pipe. The diameter of the pipe at point B is larger than at point A. Where is the speed of the water great.fa;vp/r92+uidz cw n er?

  An ideal fluid flows at 1+k -o 4jlmrv8t2 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the4o+ vlr- 8mkjt flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the2etxtks-dw)0af:grn (+g, u t pipe narrows to half its original radius, wh+t(w) rgtg,xan:-k0 t2s ufd eat is the flow speed in the narrower section?

State Bernoulli's prin6iljt sjcd 514ciple.

  Which one of the following is associated with the law of conservation of vywodot:a /n6a m 6/x5energy i 5o//daym6n:txa 6vow n fluids?

  As the speed of a moving fluid increases, the pressure in thex.gc2+ydu v +8irld091yoz aq fluid

  Water flows through a pipe. Thkt5;+cj0ak *i,m sggae diameter of the pipe at point B is larger than at poias;*kg +5 cm0a,ki tgjnt A. Where is the water pressure greatest?

  When you blow some air abovuvv1h1jcg a;o5fw(6+wu:mi jza dv+9 e a paper strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The forc/b; p/.mzl vqadot( *de of air resistana(mt/ ;dlq /.*bpzdvo ce on him is

  Two Styrofoam balls, ofw3nu 7b. *vhsyssl2:j radii R and 2R, are released simultaneously from a tall tower. Which will reach the ground f: v27ssywus.jb * h3lnirst?

  When a small spherical rock of radius r falls through waterf;b y y2q 0-wuqfmbktady3 *,;, it experiences a drag for0 kqm3yy2b y; u;-af*,wqdtfbce $F=arv$, 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 o u;e ig 2quxth(v-gr4od6+f; xn the flow of fluid through a narrow pipe? That is, if you mo+tv64xxggq; ud(r;fu-2 eh iade a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameter of ph d*2.7hp.m46zv lshwbjumg. ipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow wzhh26.jp4mu*sgh.m. l b7 vdrate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have the same w 8gpn/jm p)p:diameter, but pipe B is twice as long as pipe A. Water undergoes viscous fjpn )mpp w/:8glow in both pipes, 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 tamca +.x:uwwd: 9-zr 2:ekqm sf7r9intstes greasy. This "greasy" taste seems to be associated with oil spr:.+ cm wmt-q 9aixze:9rfsnu:7wr k 2deading out all over 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, ti7k4mna)j ;i mhe water rises to a height h. If the diameter were half as great, m n7 jami)4ik;how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight that tui/z,g/ a4vth hey 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 twi/h ztgu/,4 viace as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweis 7ynvwwy.* f-ght that they can run on top of water witywf -*yw. vs7nhout 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 c2l,2- hcb.2o0yc3jdf. c u;e fcicz lom has a mass of 30.0 g. What is its density?h-2 2co,0zcbcld3; l f.uc ieo.cj 2fy

  A liquid has a specific gravity of 0a;vwvv6fl g:5.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm xl1( (uofjzoq: 4.00 cm. What is the maximum pressure it can exert on a horizontal surface1 juq ozl:(f(o?

  A person weighing 900 N is standing on snowshoes6dac grl-176fggtq iamy678p4b ls(d . Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine wioxm o2/n;fwp0r mhw7:/skz1k:dln/x thstand at a depth of 120.0 m in the mfkh1x :m;2/w /w /k7n:x 0do onzprslocean?

  A circular window of 30 cm xqtuqzr+ ; 2yt0i9m8n diameter in a submarine can withstand a maximum force oz2r8yu0qtq; 9 ni+mtx f $5.20 \times 10^{5} \; N$. 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 presca(v5ji6lu h4cb a0id qv .r;+sure is 300 kPa?

  What is the gauge pressure atspd 04.bv: kly a location 15.0 m below the surface of sea? (The density of sek:lb dy 0v.ps4awater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below t4 xx/v h0l,jbfhe surface of sea? (The density of seawajvx/fb l0x h4,ter is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on th; oz;+c/xcjvkurb 6 b5e small piston of a hydraulic machine. The small piston hasj/rzbc+ku; o5;v 6 cbx 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 mmn o ;c0me (*8y6kgwqu,pxy+cm and the large piston has yy, w c* 0x;eq8(mmp+g m6unoka radius 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 to be lifted by a 25 cm diameter hydraulic piston. ,mv6 a-3wjnkq jf5zf9 What force needs to be applied to a 5.0 cm 9qv3n ,6amwzjk5fj -fdiameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of bywpya7vd*( y 6jqr*(d*5qpn 8.0 cm, and its large piston has* (vdq *nq(7rp dbjpy6*yyw5a a 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 wei lee9g:se nxusq.c+-c9 4a2+0pcuhtvqh t( d5 ghs 40 N in air and 30 N in water. What is the buoyant force of the w+tdv hch4x 2qs 9+ne.lt9 e uu5p0g:qca-ce(sater?

  An object has a volumeiq m,u ,)0vp/kq zcora xq)oi*;.vxx3 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 supported 87dhty 9-vpawlht (fyt3/p:y /b fbf:by a string while submerged in water. What is the tension in the string? (The specific gravity of iron(yy /b:h8 vbtp-f7 /t watl9ypfdf3h : is 7.86.)

  If the density of gol u0x6ny gc)o,ud 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 (density g;;w a5fc.grpqh 5mo.= $7.8 \times 10^3 \; kg/m^{3}$) 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 wz3 ;ab ,orlb8is immersed in water. What is the specific gravity of the 3z;w abb8l, roobject?

  A container of water is placed on a scale, and the scale reads 120 g. Now a 20-g5xo(zad8c by9) ))p i9hmlwoc piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the watca 9w8) oz 5xc9()boimh)pydler, 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 den6g3m ;3naq-a.rcv fyp sity 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 u ,uyn-y8ltn20dulf vv/ 1t/pwill just barely float in water. What tvp0uv8 / f/td nu-l2nl, u1yyis its mass?

  A rectangular box of negligible mass measures 5.0 m long,+b/qhiz xk :y. 1.0 m wide, and 0.50 m high.y hb x+:qz/ki. How many kilograms of mass can be loaded onto 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 benesbk( tr(x 3exc 56epuc2pv+,j ath the surface of the water. The weight of s,3vpb (cr+ u(x xejt2pek6c5the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its voaomk3i7-r p ,olume beneath the surface. What is or7ki -,mpo3a the object's density?

  A 200-N object floats with three-fourths of its volume beneath thvj (7i ,:d dz) p6h5i2spv zlgy;w3kpqs*slq2e surface of the water. What is the buoyant force onsskpq i,dy7zlwj)s v 3(h*6 5z;i :p2d2lp vqg the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thickjfb ; gbb.u4 m. 0z2got8(sbam. What is the minimum areat jbu2bzoasgb(0 8b;.mmf4.g of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe3uqe xy// 2/pmt*td9rtl*sh8i6 mc au of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through rez9 ;5lei6ch/ qvm6n v- md7ba 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this restrictlrm mvh6 q v-nd/7 ze6e9;b5icion?

  Water flows at 12 m/s in a horizontal pipe wit+h5 jrnvch)tj; o+o )nh 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 4q)fy 9np en8ctake for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above8pqn)9ncy 4f e the pump?

  A hole of radius 1.0 mm occursya* 1wr aha)k50ssa *h in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will was*ak h5) a 1yaw0*rashter flow out of the hole?

  Water flows through a horwlw:wf*0j n yn;zk 1uv9b4m0c izontal 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-zng y s25 fgfev3;5h-aznp* 8os. How long would it take to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assume the surfan3eg vgfzy55*s- o;nfh2zap 8 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 decreasb 7ct t3oe;c7ned the rad37c nt;7otbec ius by 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 :voszo3qd6a8z rpu00placed in a pan of water. Tube A has twice the diameter of v:8zo6qoaduzs3 0p r0 tube B. If 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 high will water rise in aw +w/ ,:2iufcaqzys3 2s+ifia capillary tubs3+uyizwa:, w q+2 /fci s2iafe of diameter 1.2 mm?

  232

  To what height would watek y7. p;xunmdufpu-(z6t*(onr at 0 degree Celsius rise in a glass capillary tube with a d.py z6n(xm upu o*f- ku(ntd7;iameter of
0.50 mm?

  A narrow tube is placed vertically in a pan bc8 h(w4lt/2nnt31p yw pf3l. sf,tgbof water, and the water rises in the tube to 4.0 cm ab sf b.l83n3 4tw2h/(yt,g lpbtpw1f ncove 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 width 0.600 m w3 ua l,e-+bltxith a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 b3lax,el-tu + N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm anq,lww+7c +w91 cat2pfopkip;)sxv *md width 5 cm, and is built in such a way that one of the longer sxq+ca1vl,9m27wf+pc tp;pwsk )o *w i ides 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 cm square?