The three common phah ph ghr 4.spbmt *8brc6;:n7sses of matter are

  Density is

  Substance A has a densityrzud 3/ vm;p.xlmb(m ) 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 y :wp,rqhqhv b5 j::j5pressure?

  Consider three drinking glasses. All three have the same area7kwz+e 8xte -f3dunr4( mgfy7 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 tw4t+ 8rx7g d (zyen7k-fue3 fmhe 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 betwvogikrhh .w45r *yq(1 zew ln()9wf v4een the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the ab(o;g3)lb ,nt;nw y sdfsolute pressure at the botton )3w nlsgo fbd;,t;y(m of a pool?

  You are originally 1.0 m bes c33(*bzks(kjptdz .neath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on you?sj*d s 3kp(czb(.kzt 3

State Pascal's princippsu9e(j8d te+:1dpusx t1q o 3le.

State Archimedes' pri-6-klk bvdf u6nciple.

  $50 \; cm^{3}$ 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 den2/a bbkm dn.sjw 3:h/wsity, what happens to the buoyant force on mw/.awjnb/bh3: d2 ksit?

  Salt water has greater density than fresh water. A boat flob xz3y)6pvk9yuinmb lrlx-(w, q )5 0wats in both fresh water and in salt water. Where is the buoyant force greater buqy wp,zlibn 5( lv -9mw)k0ryxx63)on the boat?

  Salt water is more dense than fresh water. )e2bg5ret znf- s7) jd A ship floats in both fresh water and salt water. Compared to the fresnbdt) es)e7zrg2fj-5 h water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. ,egzle3+b yt) Where is the buoyant force on tbegt,)lze3 y +he ball greater?

  A 10-kg piece of aluminum sits at the s4fln 5ve)td)bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buo5 nlvef t)ds4)yant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. /n cx6u* rda2atksjg us*h+-1If the iron is removed from the wood, what happens to the water level in the /c1u2x- at 6ss jhdg akn+r*u*tub?

  A piece of wood is floatinxpadqai()2vft)(l-xa 5x2p q)iu b) kg in a bathtub. A second piece of wood sits on top of the -dp22t uqlai)xv)ap ) )qxfb (x a(ik5first 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 in the tub?

  Water flows through a pipe. The diameter of the pipe at point B i0o- ,6 zt5/pwphn dpzqs larger than at point A. Where is the,z pn/hq 50o-zd6w ppt speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens tq ,+;rhw uiz.qo twice itsw;zq .ir,h u+q original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. j8 nnds5obc )n ;b7hp.If the pipe narrows to half ibn7os;5chp 8n nb.)d jts original radius, what is the flow speed in the narrower section?

State Bernoulli's principle. v;xaz2*.dq +2rp x kmymjw62wzxl1s(

  Which one of the following is associated with the law of cobg18 agly;ly k9:/v)kah vpv :nservation of energy in fl1yyllap: vk89;a) g b v/vghk:uids?

  As the speed of a moving fluid in xtr,+h op,w2c.i ytg.creases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe atc 6fgwju6wr zs2v; 1zlpzo 3*. point B is larger than at point A. Where is the water pressure lz 1jv*c o.; s26 fgz3wru6zpwgreatest?

  When you blow some air above a paper strip, the paper r 1deoo 8jg* m6nbq2hl*ises. This is because

  A sky diver falls through the air at bf-sjer g;;neo7 :g;hx7+b1 cc-xod cterminal velocity. The force of air resistance ocn:7ggd7- exhx;r;o j bcec-+;1bs f on him is

  Two Styrofoam balls, of radii R and 2jq* mmx81u:fi R, are released simultaneously from a tall tower. Which will rxfuqj*i 18:m meach the ground first?

  When a small spherical rock of radius r falls through water, itg og93wsys cn 6(8p*zr experiences a drag c 6g9ozsng3 rp(ws8 y*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 greatefmlw )ok/u8ca0euxm +.xm0rzu 3y98sst effect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, fuo/wek .0+8)xu 8mrmla0s3ymx9uzcwhich would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but*k3oag f j6c1rti:d 4p pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across th6 :t3ji1g dcp4*arofke lengths of the pipes. If the flow rate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes havq1b2 kyyr)x2 re the same diameter, but pipe B is twice as long as pipe A. Water undergq2y1ry) xr b2koes viscous flow 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 tastes greasy. This "greasy" taste seems to be alz/xpimm+nm310hp)d ssociated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", this is readily explainipl)3m m/zn1hp+ d mx0ed in terms of

  When a tube of diameter d is placex c3ek k8lftff 7/bhe .12ino4d in water, the water rises to a height h. If the diameter were half as gre e23f8ofibnhtx k c.k4fel1/7 at, how high would the water rise?

  Certain insects, such a,;cztb k h /3* e9d6gxpb:sslcs the water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. W,t/ 3 bbklgszc9s;dxh:*epc6 ater 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. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweight;i rfcto75(dm that they can run on top of water without breaking the surface tension. This is possible because the t;d f5 irc7(mowater, 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 4.00mrx,r 0ps5c y9u1l1s xhh5 zc6 cm has a mass of 30.0 g. rrc5hx msx,ph1 yslc56 z109u What is its density?

  A liquid has a specificroc-f)6h+p )th ;nyxv gravity of 0.357. What is its density?

  A brick weighs 50.0 N, and measu;qtp-d . k+gteres 30.0 cm x 10.0 cm x 4.00 cm. What is the mae.+- tdkgq pt;ximum pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. t g(tx,w3kw-(ejby :r Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a s( o61buqv*c2(oy:3tryt d xnzubmarine withstand at a depth of 120.0 m in : r(yc2 nxot(1q*zutoyvd 6b3the ocean?

  A circular window of 3gnp p3s9t p*+nb fkq-.t2giq)0 cm diameter in a submarine can withstand a maximum force oiqt9+*pp3spq tfngg - 2n.b k)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 pressureu4l gta +3ssq.xg; y 8)xbi:ck7da: ye is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surf52nfjel:s; c k.o3cjl ace of sea? (The dl53f. jsccojnk;e :l2ensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute - skx34qayxk 5 g76q t45zqpmd5luj;z pressure at a location 15.0 m below the surface of sea? (The qay6 ; l5dzs435 qxuq7tm k-5xzgp4jkdensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small pisjbl7*n0)t ou. fp ub+m veh;3xton of a hydraulic machine. The small pistoehvot ljp*0.;n)f+ ux7mb u3 bn has 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 l4yteq iz lw+ lo(7nzvro*6d-6 ift, the small piston has a radius of 5.0 cm and the large piston has a radius of 15 n*or7+ l(ow q-lztz v 66d4ieycm. 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. Wzi i cp4vyw-pvb 9p+9)hat force needs to be applied ti pv)ycb i+94p9p-zw vo a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, an536wu sfiph2 b2ya/qgji+0;rdxmip v:lz5k2 d its large piston has a dixia+mq g 6bl2u r22/pi:i zh5jvksw ;f30y5dpameter 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 -lncp + q+9slrn 8frdf1rzs2xkv 7)olgv- ,d)in air and 30 N in water. What is the buoyant force of th-fod cng-lr 72ns) xkzp18 ,ld)+r9f+vlsqrv e water?

  An object has a volume8wagg x7 r fbm;f0cyb*ct71h2 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 t.,r tde(aac5is supported by a string while submerged in wateac(ra5 ,d .tter. What is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of golym/68ss1h0(a 3w adl0u*ddomk ( rjbo 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 (densitys6j; bba. g9rj = $7.8 \times 10^3 \; kg/m^{3}$) 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 i pu)+:x(6;e pljoj seit is immersed in water. What is thjui+ s ;l:)x(6p eopjee specific gravity of the object?

  A container of water 5w-jg+ldhm9 2b4prj v is placed 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 loweremd+p bgh2-9j5 rjlv 4wd into the water, 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 flxj taa:b d8.-n cpgxw3k/95of $2700 \; kg/m^{3}$ 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 jusu*c tn24vrq:g,r8 lict barely float in wa rcq*vt:, 2ulcirg48 nter. What is its mass?

  A rectangular box of negligiu+joti r20z g1ble mass measures 5.0 m long, 1.0 m wide, and 0.50 m highigj otz02u+r1. 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 beneath the surface of the water. The weij1cisfjj1ccgw+ff:il60bib*6k 9cn d z;b/ 9 ght of the displaced water is 200ijz:cb6c s9jdi 0 glc *1bkncfi+f1j/9wbf; 6 0 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume bhvof2 y; fec hdbp1720eneath the surface. What is the 2; 0v2 y7ce1bohfhpdf object's density?

  A 200-N object floats with three-fourths of its volume beneath the surface ofhr4:i u h;if0+q zn+q i 7ogoifwk7n/* the wat7u0/gzfi h ;ko 7qh+i*fi:r4n+nowi qer. What is the buoyant force on the object?

  A polar bear of mass 200 kg s m,bg6sc(4iy rtands on an ice floe 100 cm thick. What is the minimum area of the floe thatmcy,64 igsb (r 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/jv 8m+u v;6z:q lyw+zd wis9y 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter piawudbq 9p.3at 2/ mqe*pe at 1.0 m/s. There is a 2.0 cm diameter restrict2 pt3*qbqu9dw/emaa .ion in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizeb l;vp7 4ub3rn6gv5 oontal 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 k vyefz 9z 5-w+a wrn/y2-,wuhto supply a drinking fountain with 300 kPa, if the fountain is 30.0 m abov5y+u-wzke fzwav2r w-9y h/n ,e the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storaztwi dq:1 7a2tge tank that holds water at a depth of 15 m. At what rate will water fdat7i 1wqt2: zlow out of the hole?

  Water flows through a horizontal pipe of cross-sectional ar)modp6 +f(pzh ea $10.0 \; cm^{2}$ 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 wouldy u/yq6+suri33wrqsc+zq z 86 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 neck, and neglect any drag effects due tuur/wq+z6cr+i3zq8s6 yqs 3yo the upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an artery faa qi o.gq*4hx5 :tt9decreased the radius by 10%. By how much would the prea.ht *qxf4 9 5qgoati:ssure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed e3.r8 2 m.hv dhulgkw-in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in tube B?-rk3g8h.wu. mle dv 2h

  The surface tension of water is 0.073 N/m. How hiz l( hfa8/5yjigh will water rise in a capillary tube of diameter 1.2 m8 yiljfhz /(a5m?

  232

  To what height would water at 0 degree Celsius rise in a glax2,vlu15yw: fq+zzi 3p4whftss capillary tube with a diameter o1lxu w f3 :qz+i4 wv5pfh2,ytzf
0.50 mm?

  A narrow tube is placed ven9sjm up4e.m* (3kahmzoa7t/*aw u:z rtically in a pan of water, 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 happens to the height of thz (h o:n/9 3aj. km*apzt4m* 7smwueuae liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a soap fil,rejs /fyuq .4m formedq/ujy. esrf,4 within its confined 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 rectangular frame x,igs r.tuovvt)bs./r a +0d+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 t sr .otb tig+a.)ux+rs0v,d/vo move the adjustable long side so that the frame is 12 cm square?