The three common phas y84daudz eb1+/xzsx+j ok4v -es of matter are

  Density is

  Substance A has a density imcu obfae6)( wypv71eq5t9* 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 unitl- zs+ :bxlle86phr3 b of pressure?

  Consider three drinking glasses. All three )iw skf:vhvdr-2vp p7co ;5s2/k xj6ed8w0hkhave the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wi v chwv w;koj6s2pv2d /rk5df0) :8sxhip -ek7der 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 )hr1g hs 486x *hyxcxo+, dwpvinside and outside a tire called?

  When atmospheric pressure changes, what happens to tt p-o b nv.l385kpcj+n we *,+rqtmc(rhe absolute pressure at the bottvrc rt qjob.*ckm +(pl 3p,wn8tne 5-+om of a pool?

  You are originally 1.0 m bev/f; mkpvpgxw2t2: 5jr ) kv(oneath the surface of a pool. If you dive to 2.0 m beneath p kw:og)2(mvk/x2r;5p f vvjt the surface, what happens to the absolute pressure on you?

State Pascal's princi4 b2qge)o ql1sple.

State Archimedes' pra4; oxhh/sd/ ,1);gnqwjw xky 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 dky,2y,k by*pqeeper into water of constant density, what happens to the buoy,*y kk2pqbyy,ant force on it?

  Salt water has greater de6.w43evd:jstu ln,v gnsity than fresh water. A boat floats in both fresh water and in salt wavn 6, jwdgu.4e3vst:lter. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh 3)oy+ jdqvm yf wz)i(qur+,-q water and salt water. Compared to the fyjq-ru+), w( qm+)qzy3 fdiv oresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool ov,2id-m ) lewjf mercury. Where is the buoyant force on the ball )lm- e2wv,jdigreater?

  A 10-kg piece of aluminum sits at tm4v8tqb2p z)mx6crm qr 58gj,he bottom of a lake, right next to a 10-kg pirg84q6zmp,jv5xm m q2rcb8t) ece of lead. Which has the greater buoyant force on it?

  A piece of iron rests z : i1boxy(gt0arb,y4on top of a piece of wood floating in a bathtub. If the iron is removed from xi t1g(,b0a byo4z:rythe wood, what happens to the water level in the tub?

  A piece of wood is floatin,a lbirkstv3zn/ 95y 2c-.*njpbd :sjg in a bathtub. A second piece of wood sits on top of the first piece, and does not touch the / bvnaik -yp5rs2j9.sc:ljztnb 3 *d, 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. Thena ef5ci0dndc . 1,zy- diameter of the pipe at point B is larger than at point A. 5c,ei.yfn dacd1 0z-nWhere is the speed of the water greater?

  An ideal fluid flowsetwtv 9wk 4m /sf,yq q6qp7(6e at 12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider section?weq/4q 6v k7f,( m9tqywp6set

  An ideal fluid flows at 12 m/s in a horizontal p*-)ami p pz6u e nu+ ygwepojd+f7.*5cipe. If the pipe narrows to half its origincfeg *m . pou y*6z5+n+)uw-dp7a pjieal radius, what is the flow speed in the narrower section?

State Bernoulli's pr /bxxi-jet7 3ninciple.

  Which one of the following is associated with the law o:yt(h.psa8n uis5b4f /-y xbzf conservation of energy in fluid8ypuszaxf /bn 5 -byh:s(. i4ts?

  As the speed of a moving fluid increases, the pressure in hmwl.4mpk;f *ued,l 3 the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger tha yy2*yryem35h n at point A. Where is the water pressure greatesmy5yer*23y yht?

  When you blow some air above a paper strip, the paper rises. This is b tdub8;arqrcu ) no6v qt5+ uw5t(t+k5ecause

  A sky diver falls through the air at terminal velocity. The force of air .t3pylw.zgp.t(h xq16ro c/ 3f wvd5a resistance on w( 3ypwthxr.o5 qctz dval3.fg6p.1/him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneo+w 6vlv dqjaz 4keki0.5i3 (bbusly from a tall tower. Which will reach the ground firstiqekilz64jv0awb(k dvb+53. ?

  When a small spherical36ls xf2-rls) j(plzj rock of radius r falls through water, it experiences a drag forczlxp-ss( j3rll2j6f) e $F=arv$, 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 narrowq x1qtctl:.elfjsy*l-7u8-gc j) / rpq4wo4 r pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in the flow rt/7 qxcq1 ywgr) .os*jrcle- l4 8lfpqu-j:t4ate?

  Two horizontal pipes are the same length, but pipe B has twl80tn db1m17pm yi5poo-t) x rice the diameter of pipe A. Water d btm1 y m1o0p5)prni7-ot8lxundergoes 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 flow rate in pipe B?

  Two horizontal pipes have the same din ccv:i n-1uwwtl+/wbbvuwn1 3-1p v3ameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipe-c3nl 1w nnuvvwb wv1-ucb +wp13i t/:s, 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. br*ey, -pxn w5tox5nay lq3/8 This "greasy" taste seems to be associated with oib5xelo3/txp q,nw r y- n8a*5yl spreading 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 .3kdnf* af xuev;99nld is placed in water, the water rises to a height h. If the diameter were half as great, how high woulda 9dxkf9vf;e* nln3u. the water rise?

  Certain insects, such as the water bug, are sufficiently lightwe 6j2kot3 ;pdggight that they can run on top of water without breakinggo2dg p6t;3jk 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. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficien fy ;k*n,uovoy ))j:ojtly 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 supfno :;ju ,)oj)yy*k ovpose 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 gsdmd msjflni b j2a54,q*1)6 f. What is its densit2mf nq1i5b ajs6mdl*)4sj, f dy?

  A liquid has a specific gravc*tm37v gr s9csqrdg, 9 x/zf3ity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cbz kgkm:1b7/ cm. What is the maximum pressure it can exert on a horizong kk/mbbz1:7c tal surface?

  A person weighing 900 N ,c*m,zq0 :hvzlm4qa t is standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth odbh i 5l 8rpj2d yjw/,bidzg:7)z*j5nf 120.0 m in thbijwg8)7p*2i 5/ z:zj 5 ,bhnjl dddrye ocean?

  A circular window of 30 cm diameter in a submarine can withstand a mxff zawds2t 1 , x6-jz9-lrvpl*n5xf3aximum force f a1- -xlsxtnj6* v9xfzfw l,5pd 32rzof $5.20 \times 10^{5} \; N$. 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 pressure isueyd,r.2 k3mhs2r-ri7zf71 /o;p lhi)cdj p m 300 kPa?

  What is the gauge pressure at a locati.vur s91 ycwjct jvsf+a -tl.n22o,xs z/t3 e,on 15.0 m below the surface of sea? (The density of seawater is 29w cajsvfeol2+ts/.vrtxyu n, 1j.z -,c st3$1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15: j /x)mijy+xu-kme 8xwg;b)m.0 m below the surface of sea? (The densituw-mx8;)/i j)byjgmxm xk+: e y of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the smkwqoc4d3 gsk;w,i/7xq /u1y pall piston of a hydraulic machine. The small piston has areax3qwgk ydu7i4;oq, /pk swc 1/ $2.0 \; cm^{2}$. 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 2/ohjlf.g n8gwu+a9 t rnaj+5 has a radius of 5.0 cm and the large piston has a5aar9l/n8 h u2o+gg jwf.+ntj 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 cm5zh nlb7 j;a/hj1e0a z diameter hydraulic piston. What force needs azz en/h0hb;a7j51jlto be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has aa1u-n9w fq)+a uj4rpu diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raisu-wn u9)4jruq1fa +a pes 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 q l,r+o,q c low*bzvvv*6 2c:eand 30 N in water. What is the buoyant force of the watzc6qrle v:owv l+,2*coqv*b ,er?

  An object has a volume8jk8hr2m rex 6w,t nc-wn*o r, of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of sb4g)g4t tn4+bykjq 7aolid iron is supported by a string while submerged in water. What is the tension in the string? (T kb4n)4jagtyq4+g 7tbhe specific gravity of iron is 7.86.)

  If the density of gold ia.hu+ v; uyme9s $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submgc+;h vx1.vx swn-b08bl g;nn arine (density = $7.8 \times 10^3 \; kg/m^{3}$) 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 is,eqqec/ 2 .yf(bldp d7 immersed in water. What is the specific grqedybqecp(2l/ . d f7,avity of the object?

  A container of water is placed on a scale, any/mhzk;j,+n b8x kdv 4d the scale reads 120 g. Now a 20-g piyn,dh 8v4m kjxz;k/ b+ece of 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 of 1.0 kg and density of tfii a yb 9i53z*ht,:e$2700 \; kg/m^{3}$ 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 diabh;p *7kg z,vc4 -.hdgpbo uc)meter 2.0 cm will just barely float in water. What ivp,hcgk c* zb4go.h7 p)-;dubs its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m widevzq +5a hvn0 ,7es /,vtwoo7zo, and 0.50 m high. How many kilograms of mass can be loaded onto the box bez a0 qno/+o5,o,hv we7tzsvv7 fore 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 surfacarst29uw r* 8*gd-sm ze of the water. The weight of the displarw suar tg*z-9md2* s8ced water is 2000 N. What is the weight of the object?

  A solid object floats in water wite ttlkcd be;gajqcf74* )3:s,h three-fourths of its volume beneath the surface. What is tdl;c7:b k) sje4e,t3faq*ctghe object's density?

  A 200-N object floats with three-fourths of its volume beneath the s 6;sjbmgl(5 d ed7zna,urface of the water. What is the buoyant forz;,j(d ebgdal65s m7n ce on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 eka28b0fiz -sz9q ( skcm thick. What is the minimum area of the floe that will just support the bear in saltwat qsk2z -ez9i0a8b(sfker 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 floly9e rih,8 0hcw rate.

  Liquid flows through a 4.0 c4fi1tq g4 f6nv7uyi ai*se9t3m diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restrict v 4i9 6u47st3fig qie1*nayftion in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a py/any,g/z 14vkrafsb9nt v6m ssu 82 +ressure 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 /bps3, 8si ylpa pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 /p 8sbpsl3 iy,m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a wat90j /n .syhwusm bw( 7.uie8iter storage tank that holds water at a depth of 15 m. At what rate will water flyj0bt 7mw./i(s eu ns.hu9i w8ow out of the hole?

  Water flows through a horiz vdg,x*w5n2 o/k onxv4ontal 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. Ho0 96b.hps1di cz0 q3v:ehmuiyw long would it take to pour 4.0 L of oil through a f p93y.ii6 chquzb deh00sv:m 1unnel 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 to the upper part of the funnel.

  Suppose that the build-up of fatty tisp3di)ud p) )) ibmbg(psue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heartg) d)bpp))bpiim(u d3 have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the diameter ofd) q3)kgxd7(8e pagkc tube B. If water rises 24 cm in tube gkqda3(8g7) )xpe dkc 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 o:z2us4,mjnzb,j g1 u a capillary tube o z 2:,nzuj 1bmusjo4g,f diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillardi6 1nwa1oo, b5 xhns2y tube with a diameter of n5xow1osi 1, nad2b6h
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and:n b68q388aag d t+cgb3s*zca 3kifih the water rises in the tube to 4.0 cm above the le:nf8aiba6k 38bthq 8 gsg dic*3+zca3vel 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 amu:3yxv *-s:d34 d xgr n1vk .clxg6bwnd width 0.600 m with a soap film formed 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 side1y-cv dkb6ns3 x.m*: glur3d:4wx xvg?

  An adjustable rectangular frame has length 12 cm and widthcl* c 5v0/f;9svrddb3 nb dij8 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 teb v/ccn5 dv;bdd 8j*i39 0rlsfnsion 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?