The three common phases of matte) kw b1pd8ksb2r are

  Density is

  Substance A has a dens) (qi lrzvbxuaqk h/) mmsh1,+fd0+g 0ity 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 pressutod;qvsh4:-r re?

  Consider three drinking glasses. All three have the s u 3d c9zlplgo64hz9rljb): +mame area base, and all three are filled to the same depth with water. Glass A is cylindriclpc+9dg6r lj)hm u9o b:zz34lal. 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 2 qg6) vux.y es oau0:3ms3cojinside and outside a tire called?

  When atmospheric pressure changes, what happcr(x-o zqzkyw6 ,t: ;g4g m.x:ghp6n+4us ilcens to the absolute pressure at the botc4q6 rlp ucyog,tzwig+ k;n6.gsx -(x :z4hm:tom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0u w 1h)nbo*aq/ m beneath the surface, what ha b uhno*/)wq1appens to the absolute pressure on you?

State Pascal's principle , vxsm2r 5*6d284twnhevtr ex.

State Archimedes' princuz91u: gmn5nj iple.

  $50 \; cm^{3}$ 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 intf dng,r:7)e*fvg(iyt o water of constant density, what happens to thfg df (*y:gv)tei,7r ne buoyant force on it?

  Salt water has greater density than fresh watgdt-1y c(wd n.er. A boat floats in both fresh water and in salt water. Where i cwtn 1(.d-gyds the buoyant force greater on the boat?

  Salt water is more dense thanu;t xlukq+ eas(*mo(; fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displace ; l eq*stuxk(a(m;o+ud in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where is th3- (qmt qv5ifwwaz)/a-d q nxlo59 mn8e buoyant force on the ball great-vozn m m5- d tn5aw 8qqfx)wa/qli93(er?

  A 10-kg piece of aluminum sits at the bo1l pq1(w uoa4go)z1yo ttom of a lake, right next to a 10-kg piece of lead. Which has the greater boyuz ogw1 1qao p(l1)4uoyant force on it?

  A piece of iron rests on top of 5byl 9br/ zsyh-:)krfw 8a/ya a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to t-f)b yby l/awyhrk 9:s az/85rhe water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood si68(z/-fky s6or9eut d,lmjttqi8o8j l;br)a ts on top of the first piece, and does not touch the water. If the top piece is taken off antrd9) m ea8 tiju ;6 lo6sr,(f/tz8-oqykb8jld placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe o732a+py qs zk7n7qsqat point B is larger than at point A. Where is the speed of the wa3+qz npq7sako7 s 7q2yter greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twiks n4)bf-do)v 1 rgo4vce its original radius, what is the flfng)v o4 o4-d1bkv)r sow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontalddc:wq +9 -u ,08 ;rvszyv 7mt4amhlbk pipe. If the pipe narrows to half its original radius, what is the flow speed in the nav w-bs0 ctk7h+da m8,zlm;qvy r u:49drrower section?

State Bernoulli's principlevi:1 -hb3b4:gbxlvhn j3 j: jl.

  Which one of the following is associated with the law of conservatio jwpy iua678z .u n1*mrix.4gan of energy in iz7wjix68a1m rp4. gu.a * nuyfluids?

  As the speed of a moving fluid incri0s3*.m( f t mshrr,nxeases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is largld(ln a g- glt3792mvder than at point A. Where is the water pressure grldd9ll3tngav7( g2-meatest?

  When you blow some air above a paper strip, the paper rises.*py: jv*dkwd + This is because

  A sky diver falls through the air at terminal velocity. The foqks f e*3ooc9b b,rccvq) )q0(rce of air resistance on h(kbq r0)e 3qqb*oof)cc v,9sc im is

  Two Styrofoam balls, of radii R and 2R, are released siq.8znx4z pgz q 04:wrumultaneously from a tall tower. Which will reach the ground firstqn.:qz zpw840 4zurxg?

  When a small spherical ravz;5vr :l *xeock of radius r falls through water, it experiences a drag foxa :5z;erv* vlrce $F=arv$, 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 flowhrn.3* sbnff6bd76xj of fluid through a narrow pipe? That is, if you made a 10% change in each of t nsd*n7x3bf hb.66jr fhe quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes : 9rge;(ismdb are the same length, 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 flow rate in pipe(i:d9s;bem gr B?

  Two horizontal pipes hasyfsx y1cbu23 5/39lmizx 0am ve the same diameter, but pipe 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 the pipes. If the flow rate 9 3zs3albm01y2cxyufi/ s 5 mxin 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 bxic1qb, 6c- rxe associated with oil spreading out all over the surface of6 b1,iq-xcrcx 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 water, the water rises to a hed;n rtkt/fa (88hvo.y ight h. If the diameter were half as great, how high would the wata t(;t8ydhf8 rovn ./ker rise?

  Certain insects, such as the water bug, are sufficiently lightweight thffj8ky,bca)l(ln a.( at they can run on top of water without breaking the surface tension. Water bug A has weight W. Water bug B is twy8bfk f.l(ja),cna l(ice 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 ;kpfuxd9ki+ku2 /,m gthe 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 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 dim9d2uf/uxip k+;gk, mk ension. 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 0 m e/sqd;epq0rl5q0ph.c7vhof 30.0 g. What is its densityeephlqv c /7pqr.dm0sq50h0 ;?

  A liquid has a specific gravity of 0.357. What9x ,xixzllr1( x ((ijj is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 c/m us21wlqae*1 5gxtum w.: aom. What is the maximum pressure it can exert x:omuat gq/2ws.1 au15e wlm *on a horizontal surface?

  A person weighing 900 N is standinna4. yy01upeeg 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 of 120.*ul6 r2piz: qfv9c tv(0 m in the urv: (l pc*2v9qf6t ziocean?

  A circular window of 302)jw(-y. iet4siz wsw*f s5du cm diameter in a submarine can withstand a maximum force of5w). y4uf*d ss wzjei(2 -iwts $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure if t29rfa f o*://lypsya zhe absolute pressure is 300 kPa?

  What is the gauge pressure at a locatiou1fzfw 5p6wp qs,):p gn 15.0 m below the surface of sea? (The dewf s z)pu1 q56:gwf,ppnsity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surfacejed cm0le; 2l1mhs8s0 of sea? (The density of 1sjs08 l0 h elc2;mdmeseawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a b;dc /plbf8) psg:zj nhc+-0jhydraulic machine. The small piston has : g+;0 b pzf8-jpjd/chc l)bsnarea $2.0 \; cm^{2}$. 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 l nyc 1zilh;+p+t( cf,m cmc49has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied onmccmhzn+ c t ,i9;ylfc14+pl( 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. Wb .hv+ qf3ye.yhat force needs to be applied to a 5.0 qv. yby.+e3h fcm diameter piston to accomplish this?

  The small piston of a hy ;g nn-pg,tp;ydraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,000 N. -p;tpgn; gny,
(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. Whaexx x9fag0i n 4.(-4bz m(iitft is the buoyant force of thm( ix04niibf-(gxzea t f4 9.xe water?

  An object has a volume ofmkj,o7g) :n ss+wtm:f $4.0 \; m^{3}$ 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 submj vyfd,42llf* b2i o)merged in water. What is the tension in the string? (The specific gravlfvifj4 m*y2l,2b)d oity of iron is 7.86.)

  If the density of gol;szpct:u 2afs)f-d3q 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 6 zs.q elo,dz7(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 o(hqe)+- gwjv when it is in air and 6.86 N when it is immersed in water. What is the specific gravity of th)j-h+weg(v qoe object?

  A container of water is placed on a scaayd8.,boky1s (n rf 9ile, and the scale reads 120 g. Now a 20-g piece of copko8y 9isdy1n., bafr( per (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 mwbe cuo(kqlb72dze*g0 j6q * :ass of 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 le1plofn+i.r,h p l-, tfngth 12 cm and diameter 2.0 cm will just barely float in water. What is its mass?l +lo,-npt 1hpfr.,i f

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0zbjp o x**f6.vlgv/ k*.50 m high. How many kilograms of mass can be loaded o**.pvj /xgvzf6k * blonto 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 z4g/vyp ,qa3j half its volume beneath the surface of the water. The weight of the dispyz/ qj,4vg a3placed water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath tha0y,8um hn 5abe surface. What is the object's density?a,hn8m bu 50ya

  A 200-N object floats with three-fourths of its volume beneath the sjmwq q;ss+4v.1yutz9rs: ;gr urface of the water. What is the buoyant force 19r; uryqwsj mvzgq;s+4:st.on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thi *yols cb9ee p*;*mmo1ck. What is the minimum area of the floe that will just suppo*** cmlbm;y9o1ee sop rt 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/nbwy i0;5nn2 es. Find the flow rate.

  Liquid flows through a 4.0 cm diameter p6epigx-4fvp(sx 3l9j a r,g o,ipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is tx 9poxf(gr-3 e asv,,6l pij4ghe velocity in this restriction?

  Water flows at 12 m/s in a horizosfclggwn(/)v/p) x t/ntal 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 supply1t5e/ +48xfjoqdig eu a drinking fountain with 300 kPa, if the fountaoeex1j8t gd +q54/if uin is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank tsav ebp3/(i5m(fg ej m (d; qmco5fc,/hat holds water at a d i,ee((;scj 5m ovqdf g5mafm(b/p/3cepth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizonm2el rdkxbwaj0 ::f:1s7 t t)mtal 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. How long ,g)+ld0fp ohpwould it take to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assumed),phfp+ lo g0 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 tisst4m 3 3l-mchgkue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be ic 4hm33g-t klmncreased to maintain a constant blood flow?

  Two narrow tubes are placed in .lli4qc4k5jb a pan of water. Tube A has twice the diameter of tube B. If water rises 2c 54k.ib 4llqj4 cm in tube A, how high will it rise in tube B?

  The surface tension hu97h 1i4:fmjtmaz( zof water is 0.073 N/m. How high will water rise in a capillary tu 7tfj9(zimhm:u4za h1be of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glasz a;gign6j+xwab/tq( 0:o v(gs capillary tube witvn(aib (:zg;/g6jx tqg aw 0o+h a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in ther3p.jq:sflxn(n tc1f( 5rr9 w tube to 4.0 cm above the level of the pan. The surface tension in the liquid is l lx.(fr3n:qrjrstw5f9 p( c 1nowered 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 gt*,fa hv26,gufhe-zw *a1qo0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tena,zu*,gvq 1hf*hfe2o-ag tw6sion 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 width 5 cmk:jo u,.k z xa;cq8/6hdp gti9* xuvz1, and is built in such a 6o*x z,dxghqk8.cakjv/ui uzpt ;1 :9way 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 12 cm square?