The three common phasesyt t, m+y8zjqdj5ghtu3lj*3kn(/ 9ay of matter are

  Density is

  Substance A has a density b64/ 6oima54ridub fkof $3.0 \; g/cm^{3}$ 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 noqp:,;si vd;x /h ir9(rg ;onktt a unit of pressure?

  Consider three drinking glasses. All three have the same area base, and alh7 q *2(*f sjewzmh6orl 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 water than A. Which glass has the greatest liquid pressure at thoh2w( 67sqhmje frz** e bottom?

  What is the difference between uz0:blau)t ci w/+jt1 the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to tg- .udk9 wp 64 (z)cr9twznjadhe absolute pressure at the b 6 dw9ujkw.gn4az-r (t)c9pdzottom of a pool?

  You are originally 1.0 m benea ip x;abx*vc+;th the surface of a pool. If you dive to 2.0 m beneath the surface, what happens tx;cb +*aixp v;o the absolute pressure on you?

State Pascal's principe q5 :qnynvw:(le.

State Archimedes' princir2e*us+ws7 ug3a/kmode cyq *32( l ziple.

  $50 \; cm^{3}$ 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, what happens bh r+quy,u0d*to the buoyant forcbd *,qu0yhu+r e on it?

  Salt water has greater de l1 l-fuj-o5 to4qg;xvnsity than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greate4q5lgvofx ;u-1j lo- tr on the boat?

  Salt water is more dense than fresh wateriwt gjt/pcqtc47 o68/. A ship floats in both fresh water and salt water. Compared to the fresh water, the /64 toc8iwtcp j7g/qtvolume of water displaced in the salt water is

  A steel ball sinks in water but flo; y8adpbt oh0o2r 5dk5ats in a pool of mercury. Where is the buoyant force on the b;ophya t 8k0 5d25obrdall greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next 0cqem 4wnqk9,to a 10-kg piece of lead. Which has the greater buoyant forc,kenm 9c q0qw4e on it?

  A piece of iron rests on top of a piece of wood floating in a bathtfaz4d r7 yao9vps./9s ub. If the iron is removed from the wood, what happens to vsa9y. dz9/ 7o4rafpsthe water level in the tub?

  A piece of wood is floating in a batht rs5g, pxy hr93f,b g59e9xwn2ft0fghub. A second piece of wood sits 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 e9sf,xfgnhg r2tp9y55g f, hw39r0xbin the tub?

  Water flows through a pipe. The diameter of the pi1 ug( 6bu9tqsr)kmsx)i)nov; pe at point B is larger than at point A. Where is the speed of the water greuvsuq m( i)b)gkto;9n1xs 6r)ater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens ;)8, z:k7z;hh weidyv2 pu uixto twice its original radius, what is the flow spu,8i 2e)w 7 h;:puivzzy h;dkxeed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal p;8)8ihtckl fc efd0(e ipe. If the pipe narrows to half its original radius, what is the flowedeccf) 0;tifl88h (k speed in the narrower section?

State Bernoulli's princip9hos74p uiq.nhl pu+.--djfb le.

  Which one of the following is associated with the law of conservation of energytv3z)c+vi v r6 in flvc)3+v6iv tr zuids?

  As the speed of a moving fluid*y(* / remdke:tebg p3 increases, the pressure in the fluid

  Water flows through a pipe. uf(ljq+am /k*ck(ks3q *l r z08siqp: The diameter of the pipe at point B is larger than at point A. Where is the(qrkzc8 lil*3a mp/: *ks jsfq0u(+qk water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This i7ha y*lbb8* pvs because

  A sky diver falls through the air at termina5qf e1mkub e43l velocity. The force of air resistance on e4ek1 mb5u3qfhim is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a-v y,egi7u .lr tall toweuge,7vyi r l-.r. Which will reach the ground first?

  When a small spherical rock of radius r falls through water, itf0 struz- /r)x experiences a drx/u0- rzt)fs rag force $F=arv$, 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 fy j.nh2ezzq/ bd;-,j9:iw z rglow 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 change in the f zgbw,h/iz;- n. 9jd: jzryqe2low rate?

  Two horizontal pipes are the same length, but pidjdyxkv8p,o i:tw(d */xzy i* -b6 n*rpe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the*v8(*prnwx/:6 kd* jdo- ybii,tz yxd 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 same diameter, but pio -pe ufgtfgw:(iqwufbn/7*0/ qp k**pe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of th/ *b(pi7wq *-n/:0ggowfpfq t * fkuuee 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 bk v*vvushd(2+qu (*kde associated with oil spreading out all over the surface of the soup, instead of staying i(d su q(vuk+vh v**d2kn little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is pla zs2..;ogpr4fu 3zfhzced in water, the water rises to a height h. If the diameter were half as great, how high woul..4 s zpg3f2 ;zfhruozd the water rise?

  Certain insects, such as 1,ajx i s-f1ybthe water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. Water bug A has w1 ,fsyajb i1-xeight 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 lightw4 . jy )n*oekbksw+q+teight 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 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. Wha+*obs)e.y wk ktnj4q+ t is the maximum upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm x 3.00 i zm60/vwyk2qcm x 4.00 cm has a mass of 30.0 g. Wha20w6/vykq izmt is its density?

  A liquid has a specific gravity of 0.357. What is d/)8 dqujshp(its density?

  A brick weighs 50.0 N, and m1t+udj * ,i(od*j(oysk -qcgeeasures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pr uej*jt d*q1cd (-(yisgoko+ ,essure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshocr7gn 2f; s:hmm kjm(ti:. d4jp9a4 boes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolu:q04 k 9r vftttswd30gte) must a submarine withstand at a depth of 120.0 m in the oceaw4 t3:stfd0v0t 9gqkr n?

  A circular window of 30 cm diameter in a submarine can withstand a mos: y -bkai py26:wq)gaximum force oy:2 :-wqaiobg6 )ykpsf $5.20 \times 10^{5} \; N$. 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 pressuuuet,2v5 /n ffre is 300 kPa?

  What is the gauge pressure at: j 7a tvc wxlhcb*;.1bbyh38d a location 15.0 m below the surface of sea? (The density jh: l wdy cbchab1x7tbv*.3; 8of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absoluteb bl7j*mk* .:2rrwly 2qngx:s pressure at a location 15.0 m below the surface of sea? (The density of sxlgl mr*r:b.yqs:2 jb72w k*neawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The small p cq5fi0 -mcu/hqzyb+ycl:j0 x2 dcy.8iston has area ud :lh.8qq0 f 5c+m ycbz 2/cixy-0cjy$2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, ;0acy4) tnz )7uh simtthe small piston 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 ah; )n7y)ats4zmi 0u ct car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic pisto io23rn+mwew 3m,:xoy9 s4fdsn. What force needs to be applied too2:wdsys +x3m rwoinf 9,34 em a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diam l/r vft5m.oi/j a/v,zeter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,000 N.mr/ oa tj. ,ivf/5v/lz
(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 w 8;fj.7z0mr9 yvaatyq ater. What is the buoyant force of the wat9yf. tramz8qvy7aj;0 er?

  An object has a volume8)8 c yk dttvkhf)tf89+plm/ q 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 by a string while su /di e*h;sav7* :wxwhcbmerged in water. What is the tension in the string? (The specific gravity of:a vxd;7 iw/*esh *wch iron is 7.86.)

  If the density of gold ix l ;jr+3cnh2gs $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (densita g3e10na qfja18v+ pd)b t,1m iyk3eby = $7.8 \times 10^3 \; kg/m^{3}$) 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 an/ yvqbl)1vjl.6 e /igtd 6.86 N when it is immersed in water. What is the specific gravity of thjet)g/ilv/qb . lv16ye object?

  A container of water is placed oq1)qvm z. ii-fn a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity m-)qiqf.1z vi = 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 o,(wuwfv bsm9 8f 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 bare q hf;fr*kqk76ly float in water. k 7*;kqqrfh6fWhat is its mass?

  A rectangular box of negligible mass measures g,;eg g 0d:v)izdrqx( 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 sinks in axd dq0(:zriegg ;v),g 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 0cn6mf8zl 6eb hv+ibk 3i38dwits volume beneath the surface of the water. The weight of the dispb36+06id c e nbki lm83wvz8hflaced water is 2000 N. What is the weight of the object?

  A solid object floats in wc*xoh;bxxhjs --mqx4 to61+ cater with three-fourths of its volume beneath the surface. What is tct xmxho 6x*h4xosqc-j1-b ; +he object's density?

  A 200-N object float2c:cxl80 rwcbs with three-fourths of its volume beneath the surface of the water. What is the blx0rwcccb28: uoyant force on the object?

  A polar bear of mass 200 kg stanq95 2wmgxe/u f5od 2jqds on an ice floe 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 oeoj5um9q5 xd/qf gw22f ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/sx:ii qbcq h-cc5s83 ,u. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is akjl+xt15p qn8 2.0 cm diameter restriction in the line. What is the velocity in thij51lpkq+xtn8 s restriction?

  Water flows at 12 m/s in a horizontal pipe-o3 9jndjtljx+/ ss tq17fk xt4:,p oq 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 30 adj0v ck21x7nn7np6e*9 jqch 0 kPa, if p9vn nq jj ae7kxccd6*h1720n the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in t r*.e j;*xvut) ddf-2ogr ulg)he bottom of a water storage tank that holds water at a depth of 1l*)gt u*; f.gjdu2dr r-evxo) 5 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sed+f e+tsu s0*o5v.cxlctional 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 as4e ,:ewe9a c* thk+ur viscosity of 0.20 Pa-s. 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 surface of the oil is kept 6 cm above the top of the 94e,hakwtce +*eu:rs 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 artxsau, 4 wi7f(u5r+xot8b u;qsery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maix57 su ; ubtqausiwof8x 4(r+,ntain a constant blood flow?

  Two narrow tubes are placed in a p8 ) srwfi5oyab424v xlnflxd/)(s7 b5krns5o an of water. Tube A has twice the diameter of tube B. If water r(b4 or75lsxbfs ) yx5ra48nf d ov5insw/l2k) ises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.07znjm1h m4f :4/ 8u+fbhkfc;hoz8y+je3 N/m. How high will water rise in a capillary tube of diameter 1.2 m8;8: /u +o4hfjc+ymekzzhmbfh41jnf m?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary tube w7o s5f)(4tu8*qsl gsj-j x iwwith a di5qolux8fi(tsg *4 ww 7sjsj)-ameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and thep2ip xr3p7rb0p0 u4 qz 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 a4pr2x 3qriu7ppb00zp ddition 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 with a soap fi ;alwhmj3c nq)y)9 q7gq+wix,lm formed within its confined a 3,9y n)mwl jxqgi+ 7;chq)wqarea. 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 rectanguldbiu*m5gok ;so)* v :tar frame has 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. How much work is required to move the adjustable long side so that the frame is o*kd*tm;o u):g vbsi 512 cm square?