The three common phases q:iwx: b+5r8.lfen ontnp 98w of matter are

  Density is

  Substance A has a density of t66nf e;ksn :cl lj)s;$3.0 \; g/cm^{3}$ 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 vltatov g,924k j:jvqh a p:m+c9,tx*is not a unit of pressure?

  Consider three drinking glasses. All three have the same area base, and ao u i3xd6cwj--;.m tasll 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 Aoc.aiw6 3 -su ;xmdjt-. 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 a .zyl;w9y;cpil 1; xlvtire called?

  When atmospheric pressure chan rdf /yy:o.upp (5yw-iges, what happens to the absolute pressure at the botw .fdp:(u/ ri- oyyyp5tom of a pool?

  You are originally 1.0 m beneath the surface of a )wdrxn )h(1nnpool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on yr )nndnx)w h1(ou?

State Pascal's principle.z0 rhh3hlw2 x7ixs2r1+:gof o

State Archimedes' praw rn lz8g8-3binciple.

  $50 \; cm^{3}$ 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 density, what happens fj- g fhr4y c5 hjy(-;9*kueuhog,z v4to the buoyant forceeh(gf-4 fy*hucr k4uo jg5;jzhy,-9 v on it?

  Salt water has greater density than fresh water. A boat float(f +))bmya 6uohgo a-+a v/ecks in both fresh water and in salt water. Where is the bum-byvag +6 au/o()hafk)+oecoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship flo jrg cg2oy4m/-ats in both fresh water and salt water.j-oc4g 2rg/ ym Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where is the buoytvnr,gfo 53bcpo*kkv4 .wc4;ant fpo*n wvo t.k5f4kvgr, 34c;c borce on the ball greater?

  A 10-kg piece of aluminum sits r .:2go pxovwk)oaoh;a ( kr ;aa07ys-at the bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant force ; 0.):aavophxo w2r kr y-gaoas7ok(; on it?

  A piece of iron rests on top of a piece of wood floating in a bathtlw vw9qid-) n9 rc3d5yub. If the iron i 3 5v-qlcnywwri9)dd9 s removed from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of woonysa-mid1 oa28oux2 .ooq9, cd sits on top of the first piece, asiq 2oooan,u c28d omy- 1x.a9nd 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 poik, wt4fyn7pp(8*j 91s ja hsyknt B is larger than at point A. Where is the speed of the wn9ay k84j7s fhp,jty1 sk*(pwater greater?

  An ideal fluid flows at xev8 v;6-f7(cru)qv )qluc xd 12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider sectionvculr)q(f ) qv8c;uex6-xv 7d?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If t(a::1v r neq eaysw*+che pipe narrows to half its original radius, what i(:n w :cq* eaasyr+ev1s the flow speed in the narrower section?

State Bernoulli's principln0 c/pb -vf; /vsyyp5ae.

  Which one of the following is associated with the law of consclqt-v/gdfzh )te(u ,-a a7 li;n0f0 xm59y keervation of energy u) l50,-d9 (h;mkgftz 7v0cexe lqyia /t-afnin fluids?

  As the speed of a moving fluid increases, the xt)()53kfn8dsh ./tr nrae hh pressure in the fluid

  Water flows through a pipe. waw lq) 7+(lraThe diameter of the pipe at point B is larger than at po)aal(qw+lr7 wint A. Where is the water pressure greatest?

  When you blow some air above a paper strip, th,(v tk* ejkw/hzqu r/-e paper rises. This is because

  A sky diver falls through the air atve3hh4 sl3 z7i13+ryj+ ukobe terminal velocity. The force of air resistance on him issu3 hk1j4i3eb ylv++7r 3hzeo

  Two Styrofoam balls, of radii R and 2R, argy)g7 / fy r6bkpt4mk4e released simultaneously from a tall tower. Which fm kp byg)4t/4rg6k7ywill reach the ground first?

  When a small spherical rock of radius r falls through water, it experu8dx003 dpyp*1 atp up4 qtl+oiences a drag forpl3 a+4 p*up0y0d qt8ux1 odptce $F=arv$, 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 myn3 npi 969lnnarrow pipe? That is, if you made a 10% change in each of the quantities ip n9y96m ln3nbelow, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the sam8;7hy ,auvg;gz c-k dq5i+x tle 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 f,qukg +gd i5 yz;hx 7-8tacv;llow rate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have the sammrjs +m ku+0r:e diameter, but pipe B is twice as long as pipe A. Wam0uk +:+r rmsjter undergoes 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" tq dpvb8xsx3e7( 4x k3saste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", this is readily explained in 7 xeqx4dp8b3vx(3 ssk terms of

  When a tube of diameter d is placed in water, the water rises tosq/ pbd1*ty9y8r8b oo a height h. If the diamepb8bdr1ooty 9ys q* /8ter were half as great, how high would the water rise?

  Certain insects, such as the water r y6 gr9ze(ag;bug, are sufficiently lightweight that they can run on top of water without 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, bzrg(a 9r yg6e;ug B is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such 2nh1gr e y 590bsbw0wlas the 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 ihwbgb25wrsel01n0 y 9n 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 wu,h8 d:ki- (evewsl0-hrvy2cm has a mass of 30.0 g. What is its densie0vi-:r2,hesyw h - 8ulwd(kvty?

  A liquid has a specific gravity of 0.357. What is its d abe x69nyx,ab )uj-2u4ius mx:i;x; censity?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm 7-c-(w k+rwz simqdo3x 4.00 cm. What is the maximum pressure it can exert on c3owkwisr7m-(+d z-q a horizontal surface?

  A person weighing 900 N is standing on snowstah -bcbl. 6vr59az j-hoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute;hw j wx.8nt;;sk gcn9) must a submarine withstand at a depth of 120.0 m in theht jkw8 . g9nw;;c;sxn ocean?

  A circular window of 30 cm diameter in a submarine ca )s :vjvywl wu:)vf)xi6i;yy)1h .lfcn withstand a maximum force ofwl.:yfcxvvsy:))y ;16 f )viijluwh) $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure imr;(rvm46+ vr9nxt9 z xscr6bf the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface o.x-ij9nv k/y sf sea? (The density of seawaters-i9v xy k/nj. is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute mdy5g)y.kdn/ pressure at a location 15.0 m below the surface of sea? (The density of seaw/5dgd.y)kynm ater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic hq2a 0yf+ hd ))tcwzn,:l oqr7machine. The small piston has ar2wt)f ,ly+rq0hoanh7 q):z dcea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small p2t:hc.t)k, a ./b g0gzfuhsqoiston has a radius of 5.0 cm and the large piston has a .ko.,a/20 uz hgh b)s cqg:tftradius 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 cm diameter hydraulic piston. r2gx pxno n:tx89l- r62pkm.qWhat force needs to be a6.kx 2grmp28tlox9r-p :nq nxpplied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and 15 1shon.p 0x5jgu ,xogdm o+mits large piston has a diameter of 40 cm. The lift rai5huo, xpnm o1x15j .0omgs+dgses 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 weighsxst( e s.z;g2cp*nf2o 40 N in air and 30 N in water. What is the buoyant force of th;2xn*gz .s fcp(t2 seoe water?

  An object has a volume odsrf(ala(yoejr ,cwh: - 0+y.f $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid ides9v+tz:)y i1 lif(kron is supported by a string while submerged in water. What is the tension in the string? (The specific gravity of irit szd 1e: lkv()ify9+on is 7.86.)

  If the density of goe-+p- ix(4/h lftkoman j.a2t ld 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 suxr)s /j +h2/b 5zlv,swbhm .vebmarine (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 airx6un 8c hl62 qkaa1q*p and 6.86 N when it is immersed in water*xpn kh 6l6128a acquq. What is the specific gravity of the object?

  A container of water is placed on a sc2z4(owqj5m tw ale, 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 water, no5 (m to2q4jwzwt touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1.0 kg and d(g5khb0m v7 8i+ixhoqensity 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 2.0 c/gp,pf)x7 n hcke8/yuaw , ,sfm will just barely float in water. What is )fa np khc, x,/p8gfu,wye/7s its mass?

  A rectangular box of negligible mass measu dgm 1 u8:f1tj(fhdw1lres 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it1j d:(hu1f8wfdmgtl1 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 waterkk9*0 7 o,sraoeb b i3aok3iue q5ux38. The weight of the displaced water is 2000 N. What is the weight of538 bkrko,e9xqo3a* 0oie 7ua ibkus3 the object?

  A solid object floats icm7e(:1 p*td rg.ob zrn water with three-fourths of its volume beneath the surface. What is the object's density?*t drgm 7(p:erz1cb. o

  A 200-N object floats with4ma ngfl2*/ uq three-fourths of its volume beneath the surface of the water. What is the buoyant forqa 42*/l ufngmce on the object?

  A polar bear of mass 200 kg stands on an i7ku bl.y73 dx7vpw*.r 1 jfvr0frwci8ce floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The spedw 03rrb18wx.k7vjvfr*p. l7ficy7 ucific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. hwlpu ,: vw/m,rsaj*: )1n d)xtk9x cuFind the flow rate.

  Liquid flows through a 4.0 cm diameter p;srs)/c rj 4mnipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity i;rcms)s /nr j4n this restriction?

  Water flows at 12 m/s in a horizontal pipe at u+0,c4qxp6 ah:adkg9 bj)u 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 iuz 1+ p7*aoqyns(p/o a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m abovezo(s 1yq*au7pp n+/ oi the pump?

  A hole of radius 1.0 mm occurs in the bottom ot1 ic seoi(20s ;+pjhmf a water storage tank that holds water at a depth of 15 m. At what rais2 h+cj0mi;s tp1o(e te will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sed309fm dym1quxzo1ea + 1j 3p /pvz1elctional 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 woulyetj8a u*cc4 j:nm6b0 d 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 abt um8e0yjn6cjab 4c *:ove 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 of an artery decrel 8aj(k7dopnb1y)/- mi pl4xiased the radius by 10%. By how much would the pressure provi j 4/p(opai7x)d b-y8 k1imlnlded by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube oeo7,h,rz7pxu / 0 qagxdj00d A has twice the diameter of tube B. If water rises 24 cm in t0z7xjuod,0g,orxp a0 e dq 7/hube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. Howue9 ka:y*5g:nauh d l3 high will water rise in a capill:dhnly9* 5:aeg3a u kuary tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree n(g*o+adqcah- +ujdpm f8,s4e0 z9 fsCelsius rise in a glass capillary tube with a diameucd4ndfag ,+qas* jhps+9e0zo8(-mfter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water risesbf c- qnxn+5xfx9s1j , in the tube to 4 b59cq,n j+xf1xnx s-f.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 the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a /9n sde6; 5lc7jfyfbr1 h4h cesoap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force dslnj6cr4d7e;5 h 9/fchf 1byeoes the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and wl-q0oia*t7x c idth 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 to move the adjusta *xt7a-oql0ci ble long side so that the frame is 12 cm square?