The three common phaseb;(j + drmcr-gs of matter are

  Density is

  Substance A has a density of fu5p g.i5uyf,abs g31$3.0 \; g/cm^{3}$ 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 p(k,; 9h8s;2xcp7a4xkt hx *uu twfiya unit of pressure?

  Consider three drinking glasses. All three hrocb /e+8oom/vc7l9d ave the same area base, and all three are filled to the same depth with water. Glass A is l+bor 8/7oc9 oemd cv/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 the bottom?

  What is the difference between the pressures inside and outside vi77j6 kdgv ;wa tire called?

  When atmospheric pressure chxm/3v+ shp9met 3nq0q anges, what happens to the absolute pressure at the bottom of a poo3tq xnpevm+h9 0m3sq/l?

  You are originally 1.0 m beneat4e ;jptlk6s+ha ot p,k46p(*x tuhbs8 h the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to thetsx8kbhpk66h (ppa;stl4o4u+j*et , absolute pressure on you?

State Pascal's princ8 e pu4vnhj;v1 02ra 9;squkkuiple.

State Archimedes' pr:ax pp)+w9+rfpvdg3 i inciple.

  $50 \; cm^{3}$ 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 deeperxp 00cdnb/3a c v:5 fb)kb*mar into water of constant density, what happens to the buoyant fcnx)0 da/ crpab0*mv :3fbbk 5orce on it?

  Salt water has greater density than fresh water. A bc 7 el1dn*gn7042uutgnk i3 sxsb: q5coat floats in both fresh water and in salt water. Where is:bqsudc nt5e2137ingux4k 0n lcg 7*s the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh *9*o lsi-wiliq 3zy0v water and salt water. Compared to the fresh water, the volu wsli yq9*-oziv03 *lime of water displaced in the salt water is

  A steel ball sinks in :xxly6mwj z l(ww;y)eps;5 s -water but floats in a pool of mercury. Where is the buoyant force on the ball gry;6 wlxs;ywwep j :-ms5xz)l(eater?

  A 10-kg piece of aluminum xz+ulqs8s: ;0)/j0lpj0frwk 0oppq qsits at the bottom of a lake, right next to a 10-kg piece of lead. Which has th jsl0qsr0wlq; xpp:k )q/80 o0zpjuf+e greater buoyant force on it?

  A piece of iron rests on top of a ,7ppyk o.;gvj ik9hlz)kon2n*9t ls9 piece of wood floating in a bathtub. If the iron is removed from the wood, .*j7sz2p99 ol )kgtknp i 9;,h vlonykwhat happens to the water level in the tub?

  A piece of wood is fli(9 dfro0l() ea m 59fykcq6ufoating in a bathtub. A second piece of wood sits on top of the first piece, and does not touch the water. If the toau(qlmf)5k9 6 dc9 r e(0oyffip 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 the pipe )fm00 m1rmmpk 0s(g rn yj33ksat point B is larger than at point A.rpn k(sfk0)ms3 y0m3j 0m1rmg Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If zpa71h;j fvf n1s 8y4k +k(gjvthe pipe widens to twice its original radius8gfnav71hy +fk jv jpk s;(1z4, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows3wz mt6+0aesy to half its or+w 6mas0zty3e iginal radius, what is the flow speed in the narrower section?

State Bernoulli's prin3wp uj.0k a3fmciple.

  Which one of the following is associated withjbqm n4h,k* :z the law of conservation of energy in fluh* j4n mk,zb:qids?

  As the speed of a moving fluid: ol:luk; pp0vg. zjjjrbo v10ji/)60krfr /z increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at t 6dw:8-pqs xv9x,llm point B is larger than at point A. Wh69llm v sxt ,d:-qpwx8ere is the water pressure greatest?

  When you blow some air above a paper stric2ts c+5 tys,sl+ x+mnp, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The fo3fx(nupd5 ,r;njoee7 8jj1ahrce of air resistance on him n(e8,a xnp5; r17jofu3jje hd is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a tall9jiy3be(:8l qv v-jev st46mr tower. : sjeiv3jmqvl e96-v48r(b tyWhich will reach the ground first?

  When a small spherical rock of radius r fallbw ;.f8gpx. ugs through water, it experiences a drag f xgbp. ;f8w.ugorce $F=arv$, 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 effectw x:)wr:hv/ *nvhnvk 6 on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quanhv kh:ww*rvn v/ n)x:6tities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length,ae1)h v c2ghly3 t3;mt 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 lengths of the pipes. If the flow rate in pipe A is Q, what is the flow3; g1e3 )hcavltthy m2 rate in pipe B?

  Two horizontal pipes have the sacyb,, /3 g f- pzbzbf:;orx.bgme diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference acr/ pzbro,bx b ;fzg:.- yfbg3,coss 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. vozgiknu3a80 1+ p o3wThis "greasy" taste seems to be associated with oil spreading out all over the surface ig+v8znwouka o3 0p3 1of 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 wateort y m h0;j45lg;qr9gr, the water rises to a height h. If the diameter were half as ;th5r mggl0;j o94rqygreat, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight thazmuisy7 o)kb5*k ra 3/t they can run on top of water without breaking the surface tension. Water bug A h /uao)y5mb*kk37sir zas 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. b;d0rv cke5tza hm u/d:;hc: bug, are sufficiently lightweight 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 wehc;vk : :/rdamhdc;z0b 5.tuater 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 3 hqjp6p6r6v6 sp(fq9 jq tm6w;0.0 g. What 6f6rvp;qq(6j tmjp 96hpqsw6 is its density?

  A liquid has a specific gravity of 0)b7q 0hw 3-bv0 ikwpoh.357. What is its density?

  A brick weighs 50.0 N, and measures 30v d 0712p8/q+qr gq r ivbdi,scxds++v.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it ca7ivxdq+isr b2v,0dg/+qs+q d v c1r8pn exert on a horizontal surface?

  A person weighing 900 N is stanwha1; i:e5t:w. 7oh sk:a6:slszoa i)7g qmgyding on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must0) kny74s9 cl zd9misx a submarine withstand at a depth of 120.0 m in t 9n 04lzmx9dcs)kisy7 he ocean?

  A circular window of 30 cm diameter in a submarine can withstand f.w e(h0(ro2his8qocr aa4m: /y5-hifl q yo1a maximum force r w58 hrq( 2y4a(qyes0m:hoh. o1fl/foici-aof $5.20 \times 10^{5} \; N$. 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 absolrubi6 a hcj31j 15rp:wute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below snx)2.vb(i kz the surface of sea? (The density of seawate. kvs zix)nb(2r is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m belo;yaj /kqg6)fmw.yb7uw the surface of sea? (The densib7 mkg)jy; q6yu af/.wty of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small pistonaq7i0 yb0ozu7a( ry0 p of a hydraulic machine. The small piston has 7ayypiu q 7b(00zao0 rarea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small pist3w/1ckewz 2f jnp9rxh c3;6oxon 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 weighing 20,000 N on the large pi1hcx9p/jc k3;rfwxz3w e6on2ston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic piston. gc/-oy qok:l7r,j1kcm 7swi9 What force needs to be applied to a 5.0 cm diameter piston to accompli s,cry/k-lg im7j o1o:cq9k7w sh this?

  The small piston of a hydraulic lift has a gb7 jog**5 d 8fqn h6ivmtxqnd4.4u,cdiameter of 8.0 cm, and its large piston h48f7x *6vdn, o.g 4*n5uhcib qtqdm gjas 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 weighs 40 N in air and 30 N in water. What isal(bcb/su/ goei k5( u+un,m: the buoyant force of the wat(/auo:k un ,cie+m (bl/b5gsu er?

  An object has a volume ofh ,i iqox;u,d6 $4.0 \; m^{3}$ 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 ssuq pmuyy;g/ nyeg 5c58*f- t9ubmerged in water. What is the tension in the string? (The specific*e5m;9yqsp 8uu/ gcn5ft-gyy gravity of iron is 7.86.)

  If the density of goldai c.rk289o i54. t1kcszskt z 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 (densityrzs ge uzuh*qo x:;+dq:h j/14 = $7.8 \times 10^3 \; kg/m^{3}$) 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 ix+ qrkba8f3uy1 9/bkss in air and 6.86 N when it is immersed in wate9 +xf1y3 8ak/ rbkbqusr. What is the specific gravity of the object?

  A container of water is plsrdtm2z,1*3t x-caot /dkf )laced 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 wamrx tadcz ,f-to/3*s2 kd t)l1ter, 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 densi wzf* 2i/npxw.ty 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 33t3g3rrndsl iqn4ey e u6e8b 50szh- 2.0 cm will just barely float in water. W nr rz tey-d33nbsei3l4uqh36580sg ehat is its mass?

  A rectangular box of negligible mass measzk ct gb*+g7i4 tt)pj2ures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loadedg2tgi*cjtkbp z7)+ t4 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 io6 +l 6yzl eook3sz4:fts volume beneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight o6+z :ekoz6 sloy o4f3lf the object?

  A solid object floats h.5 s 3mb-tvtbf;mkv7 in water with three-fourths of its volume beneath the surface. What is the .k;bbh v -fsmtmt357vobject's density?

  A 200-N object floats with three-fourths of itoi+.ut 3pd- +lt hdmd0s volume beneath the surface of the water. What is the buoyant force on the objh-ddu+ t3 pot+.lmi0 dect?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thie, l,o30hd isr3 :pbykck. What is the minimum area of t3h3d ,eokpyl,b0 i:srhe 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 pipe of diameter 3.0 cm at 2.0 m/s. Find the uzk3u, ( r-iqyflow rate.

  Liquid flows through pjf*fa(tsov99 t.m*a,bf)h m a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the linbm f*a)o*vm j 99.asftpf,ht(e. What is the velocity in this restriction?

  Water flows at 12 m/s in a horsp5jvj vb;np iwv,193izontal 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 take for a pump to supply a drinking fjz*r+ma x9 a7 vqfcr ug(.2j:kountain with 300 kPa, if the fountain is 30.0 m abax9rkmaj*j+ v.cf:7 (g uqzr 2ove the pump?

  A hole of radius 1.0z30;hayag )mic;,rzg mm occurs in the bottom of a water storage tank that holds water at a ;a gg3ir0z),;h cazmydepth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectime*1bh gge4hl; 97cqo onal 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 to pour 4.ft-f/ :bx 0das0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assume the surface d:ftxsa0-/fb 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 o5 hrmo7tus;w v44n.t2nd y*ctf an artery decreased the radius by 10%. By how muot4 .; 4*vtrt72nd5sny whucm ch would the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan ga-07c w5dneoof water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A-wdo cneg07a 5, how high will it rise in tube B?

  The surface tension of water is 0v99af k3iy6x(xmm oeew k4,; nzzy+8o.073 N/m. How high will water rise in a capillary tube ozix6 mnmk,yvo9 w;k9e4a xez3(8fo y+ f diameter 1.2 mm?

  232

  To what height would water atf5(d l*vgtrl6 r5;gge 0 degree Celsius rise in a glass capillary tube with a diamd6l(vte5l g5gf ;r* rgeter of
0.50 mm?

  A narrow tube is placeeu*l,8rz g6 ehd vertically in a pan of water, and the water rises in the tube to 4.0 cm above the level of the pan. The surface t *6r,z hgle8ueension 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 le o 7d(on1g6pxzg6uu .angth 0.120 m and width 0.600 m with a soap film formed within its cu(udzgg6o1nx.a7 op 6 onfined 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 rectan ;td 7l xuniuij2/)f5zji7(svl7sgx*gular 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 7s7x;(/*ll5 njvg xf jzsu t2i)i 7iudN/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?