The three common phases of mattew.oa*p jsi.k +r are

  Density is

  Substance A has a density sgp*ed/.a0jd t8 gw0 wof $3.0 \; g/cm^{3}$ 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 i gp g/ r*a4+4jat3zcwof pressure?

  Consider three drinking glasses. All three have the same area base, and all o8f3jq(nu 4rcyi+ yh7three 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 l(yruy+qo3j i4 fh8nc 7iquid pressure at the bottom?

  What is the difference betwe ;u1e;wixw8 wjen the pressures inside and outside a tire called?

  When atmospheric pressure ch ml*xtn-ns ck*/gn/jh) snt 7: 7vwk(ranges, what happens to the absolute pressure at the bottom of k 7rx-/cn)n7 jg/*ls:stw(nmnkvht *a pool?

  You are originally 1.0 :w 5aq hhqwdw ypu5/.1wy:kg9m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what h5akd qw:u.yy1ww/ h5w hq9p: gappens to the absolute pressure on you?

State Pascal's princigri8-;vbb/ hw-j r rum-asf6+ple.

State Archimedes' prxqs*9gue cn q 9h3b7q,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 deeper into w 7oo(axuxz7z ;vjfxm ,*nq :v:ater of constant density, what happens to the bu x;zjon*,o77xmva: (qvfz: xuoyant force on it?

  Salt water has greater density than fresh water. A boat floedz2fcp-d/ skkk: p90ats in both fresh water and in salt water. Where is the buoyant force greater on t09sk2 -zc pe/d:kf kdphe boat?

  Salt water is more dense than fresh water. A ship floats in both fresh watertjy) f42n. vps and salt wasy.tjp4n) 2 vfter. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but fl, :zzndnvpf )+a,( joloats in a pool of mercury. Where is the buoyant force on the ball greaterfn+ j,z(d:vpla)n zo,?

  A 10-kg piece of aluminum sits at the bot 9 j1sxos hj 1c5od:ir48xich)6ys aa(tom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyan x hcs9d ai11(r6aysoj:c h)xj5s48oit force on it?

  A piece of iron rests on top ofmhbas s/1 :zt-pw-6fuap;i;t a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the wate6u;/1zspbfa h-wia:p ;tmst -r level in the tub?

  A piece of wood is floating in a bathtup,uu,8sk6gl lb. A second piece of wood sits on top of the first piece, and does not touch the water. If the top,u sp8lu klg6, 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 is larger than qu 2 eu-1 bkhfmu/-c5jat point uuj2bc -ku1 he/5fm-qA. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe /qq5ee2 ,a nq4 5fzudhwidens to twice its original radius2q4d5 quqzn/hf ea5, e, what is the flow speed in the wider section?

  An ideal fluid flows at 12-ilca*pt 4 f:kfwsioe 7*we1 5 m/s in a horizontal pipe. If the pipe narrows to half itsekoas 4fl-tc71**f:p5wew ii original radius, what is the flow speed in the narrower section?

State Bernoulli's principvb vx 3jgz +x5ul.t(oz ,mg;)m(eipj7le.

  Which one of the following is associated with the s+s bi i6,kftf/ 1shm/2zfla,law of conservation of energy in flkz,f+m6,1h a/bs2sfiti/fs luids?

  As the speed of a movi9:udods8h3h9rrq u(ip* e8 /dhznxm m:2jb /mng fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is largegmu2 ;cd)mtv /j ojl)s(fg0q5 r than at point A. Where is the water pressure greatesj0 c qjtml5vo)s2f(;)d ggm/ut?

  When you blow some air above a paper strip, the paper risesv s60+u2va6f8u i f/mxslzrc7 . This is because

  A sky diver falls through the air at terminal ve6 r(zhl0 )a56qcyimji)u9 txclocity. The force of air resistance on h x 9lm0au)cy(i56tihcrqzj) 6 im is

  Two Styrofoam balls, of radii R and 2R, are released simultq hi170ygd0i maneously from a tall towmhi ydq01 i0g7er. Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it experie4bv y;ebtr,hi *snbna d 6+ptl4 /(gu+nces a drag forc+(gid*t tn ys,v 4rnbelah/b6p;4 u+be $F=arv$, 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 tp,6- rcyxp t5nhe flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantiti c 5rppty,-6nxes below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipexc hs4,k(h6gvw,otr/: gj x3. uy*a)z3qfims B has twice the diameter of pipe *r,:chf,wg/zjui s q )33th.a( mx gyxv4kos6 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 flow rate in pipe B?

  Two horizontal pipes have the same diameter,r2qh.l eeipr.fb /2f 1 but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same preefipr2.r1b2lq. h fe/ssure 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 xgi7fiq7 kuk)sqwi8ec, 6a 16 ng/ /veoften tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globule1 a7,xk cgui ikq8 egi/q7ewfsv6/)6n s. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water rises to a height h. If7 bzc5qk9l0 uc the diameter were half as great, how high would the water q9c bzkluc 507rise?

  Certain insects, such as the wateruss ,a5 wr2*:m2mtbf h bug, are sufficiently lightweight that they can run on top of water withousw ,au r52msbtmfh:2* t 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 twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the 0qq- k.xzslskpu49z2 water 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 op 0qu4 qk-z2ls z9s.kxn 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 dmd35//d6neuz ykih-o :k 8csmimensions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its densityomk kh8-3s5cyn:6/zed/ dm i u?

  A liquid has a specific gravity of 0.357. What is its e*zete 11xyi 2+opmyvc3pmg8o02 4v qdensity?

  A brick weighs 50.0 Nnzz8p:ncu+*kr 7r 8 didhpl07, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum prez h:dcrndi l7pu 8 z80rk7n+p*ssure it can exert on a horizontal surface?

  A person weighing 900 N is standing on ogtjx-:s+ xy,0x ) jifor7e5 lsnowshoes. 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 of 120.0 m o:zsikxplmhy p1*uf760 px 95in tkls7:p06ipuy 1*z o9xxh 5fmphe ocean?

  A circular window of 30 cm diameter in 5m cv st6 ye d/o5t*yp:cpxo:-a submarine can withstand a maximum force/oxpypt6c e*:v5s:5 yot-mc d of $5.20 \times 10^{5} \; N$. 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 is 300212fijjz7iq3( dm09 h 1rs.obpxnwl m kPa?

  What is the gauge pressure at a location 15.0 m below the surface rg2 efm oa()xl48ob) sof sea? (The density of sbe oga4fl)2)o(x8rmseawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m hyrm ,8wirjz/x46- g/c;w nv5 h sqnq,below the surface of sea? (The densithsnrmy,6wwqcqz/h; 8-nri x 4 / ,5gvjy of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The sma2h , )lz1knzrwll piston has a 1z),n wzkl2hrrea $2.0 \; cm^{2}$. 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 cmh/p xeot*:.py and the large piston has a radius of 15 cm. What force must be appl.eo*/tph p x:yied 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 25g :v 6up1,u ee(5eqk/hv1rsqp cm diameter hydraulic piston. What force needs to be appli pvp1eqk1/e6 rq( ,s5huegu :ved to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diamete fz9p7pqjxzr (n/ (2ee+-,uixyt yxl3r of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a loa e7,nlj -2i/ (xrextqzy39(py pzux+ fd 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 weig8nyo5w* znkk .hs 40 N in air and 30 N in water. What is the buoyant force of the water*noy 8wkn5z. k?

  An object has a volume ofoz jg)d4rj yx44ai +q8 $4.0 \; m^{3}$ 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 w9r37s0tfhwm rgd0 f, phile submerged in water. What is the tension in the string? (The specific gravity30pr7rf,m fdg0 hswt9 of iron is 7.86.)

  If the density of goldsf2x;d oizu( e*- x6yg 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 sbix:r+dk74 fvubmarine (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 i7f o8q2 u5e j.l)t(jzg giuy96wjob0smmersed in water. What is the specific gravity of the object8 ugeyiq fjj5 (0o9j6. sb7l2)ugtozw?

  A container of water is placed on a scale, and the scale revv* 9 bw2f 6vin:ld uevg3u(f+aa,;wf ads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered i*aw:e v3 d+fvubn6 gafvu; f2 ,9wv(linto 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 andl 4gs5rplhvx/9;t : aw 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 leb:js/jpm- (2lyw ipw-ngth 12 cm and diameter 2.0 cm will just barely float in water. y jsb2-ip -:l/wpjm( w What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m 3tcuyfzh 8e 4nw308xx wide, and 0.50 m high. How many kiyw3 x8xzuh830n4e tcf lograms 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 wo 1tiy 8kpd11bx/rka-eight of the displaced water is 1k11art p 8/xdiboky -2000 N. What is the weight of the object?

  A solid object floats in w.+ui x bdow.e6ater with three-fourths of its volume beneath the surface. Whawoxib. 6ud .+et is the object's density?

  A 200-N object floats with three-fourths of its volume beneath the surface gy;pzu2)yk bo)8 n2hwof the water. What is the buoyantg8);n 22yob ku)zyph w force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is brylhk0 z870mj,yh n:iha9 *vthe minimum amb v,*h7h:a09iyyz0 8jrlnhkrea 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 pipe of diameter 3.0 cm at 2.0 m/s. Finqp9lwzmdh(2oh: + k8-w oud1 fd the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s.7 +-ft)gmmc4w.cfqc (tsci x5 There is a 2.0 cm diameter restriction in the line. What isxfmq5(7 tgm 4w csfi c.t+c)c- the velocity in this restriction?

  Water flows at 12 m/s in a hyco ;tmkt;8 3 papb2r+orizontal 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 fountain with 300j- ye v a62;jxakn:0suqx;0a ua76tnj kPa, if the fountain is 30a najsq0: 60tvn6 e2ayxx-u jka7j;; u.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a watergybi.e.e/i 4 d storage tank that holds water at ae/. i4 deygi.b depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-xnqfvca;oe / j)y,o/6 6onud swig0)*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. H k9b*4 uaek m.ljfhup 0)je+2aow 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? k e2f)+u9h04bjlmp.*aj ka eu 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 tissue on the wa-8ria g+ r ,vh/cpaekxn;w;9bxv 8q.fll of an artery decreased the rh g e;av98i-rqx/p xrka.f,wn+8cb v;adius 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 placed in a pan of water. Tube a1j/mzb*i-a j A has twice the diameter of tube B. If water rises 24 cb j aj*1zm-a/im in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How rx. ;2rib rf9 f.447iacmrs pdhigh will water rise in a capillary tube offm;riprb9a 7r42 scx dri.4. f diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capilub/bl6v8uc) y tr)d a7lary tube with a diameter ofb8ray/bu t7vu6c) )dl
0.50 mm?

  A narrow tube is place e0 rd rpxy-4k*uw7c4vd vertically in a pan of water, and the water rises in the tube to 4.0 cmx u0rc 4-ypv4kdrwe7* 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 the liquid column in the tube?

  Consider a rectangular framen mxeqj* 8x1v2 of length 0.120 m and width 0.600 m with a soap film formed within ix2e1m qv8 j*xnts 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 has length 12 cm and wiyja7fcoh:ox om0i -5:lr10 vxw2kr/o dth 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 requm:ooar21l io0yxfcv :xjh 7wrk/5 o-0ired to move the adjustable long side so that the frame is 12 cm square?