The three common phase3fbvn q gd-l:ygb*3y9s of matter are

  Density is

  Substance A has a densitwq px+tw;0t z-ph :f7dtct v19y 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 h+ y9b m(mcr icb5*50ayeo:jwko77mvof pressure?

  Consider three drinking glasses. All three have the sa3tf p7cz+q4 f8n/ungrme area 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 the top than at the bottom, and so holds less water than A. Which glass has thznp87uqr tgf/f nc +43e greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and outside a tire c.y zk9u-rjb38vef 9jdalled?

  When atmospheric pressure changes o,p 5o+ji2ik-pi:3oskybgy., what happens to the absolute pressure at the bottom of a pob p: s,iy3 yopkk52g oi.-o+jiol?

  You are originally 1.0 m beneath the surface of a poon49+wcjbq4; k dq-zg w(bg m wg*tr()ol. If you dive to 2.0 m beneath the surface, what happens to the absolute pressur4; wc+q()r (bg 4q9go dbtkm jw*gw-zne on you?

State Pascal's principlom0e hh yy+-ay9km3(5 y ifb:+obhmy-e.

State Archimedes' principleivj*c+m (mn. xvtp(*m l; 9xpf.

  $50 \; cm^{3}$ 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 deqo2m -jl:1fr oeper into water of constant density, what happens to the buoyant force on itm-:ljqf2 ro1o?

  Salt water has greatdedlm t +5 2f3hr * 636vgwifkgand,;mer density than fresh water. A boat floats in both fresh water and in s*r3m3d;f+6eggddtl 6vi2 nk,w5af m halt water. Where is the buoyant force greater on the boat?

  Salt water is more denseq1hpn)pd w8/k 3j,;m qhzc4cr than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt q/8wm hq1 c)zdk,4pcrjhn;3pwater is

  A steel ball sinks in water but floats in a pool of mercury. Whecm10/zfc i; )kbefb1pre is the buoyant force on the ball1bike cfcmp0fb;/)1 z greater?

  A 10-kg piece of aluminum sits atp;a:,k qvs6vj the bottom of a lake, right next to a 10-kg piece of lead. v6a:j;q ksv, pWhich has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating inmub(5*k4 ;z vb-xj hqrz8g f/z a bathtub. If the iron f4 ;k 5mx-z8rzb( jbhgq*/uvz is removed from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second w4a0qh uu f8itg *.l-pwm3l( wpiece of wood sits on top of the first 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 t wlatg hlm0p3 w4-f.8*iwq(uu he tub?

  Water flows through sh)l j no6z6i *f,xd3xa pipe. The diameter of the pipe at point B is larger than at point A. Where is the speed of the wati* z shd)fl3jn6o,x6x er greater?

  An ideal fluid flows at 12 m/s in au+)ssi byc -5fnyxg .6rt7a1f horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider sectigy5tr+ux. f isb761s)ny -afcon?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe nr 4ma/xa.is,xh- n +y k.7ti,7pmcmtiarrows to half its ,smt .n/am7,+p kt iiahrxy-4.imc7xoriginal radius, what is the flow speed in the narrower section?

State Bernoulli's prj nkdo (:47)gj-j gwmzinciple.

  Which one of the following is associated with the la/wgko9 zi;zmr.ar-w v. ty3sm1 y;5 glw of conservation of energy in fom3rl /zs;mkazgg91 ;.-r. y t5iyvw wluids?

  As the speed of a moving fluid ij*hbm-l+ xtf( b2l nw4ncreases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pip; at+;:uaij lj:ut +uqe at point B is larger than at point A. Whe;+ttalu iuu a:q+;j:j re is the water pressure greatest?

  When you blow some air above a paper strip, the papednb1,4oo,8w 8h 3u6z9/4ttl vyfie-idgu fpmr rises. This is because

  A sky diver falls through the air at terminal velocity. The force of;:bpv91-ypn d0ee jfr air resistance on hiyp0 evpf9d ne1b- j:;rm is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from n dk()n gmq8:ic8l: +nxhj ;vaa tall t;kh jidmvx +( g:c:a)nnn q88lower. Which will reach the ground first?

  When a small spherical rock of radius r falls 00xswys7m 5 ur8 oyo;2wqushwmv*)5 rthrough water, it experiences a drag qxw7s s 0mvy;5uhso*yo5r 0wwr 2)u8mforce $F=arv$, 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 9z3ban*ih )ygof fluid through a narrow pipe? That is, if you made a 10% change in each of the quan)zign9 *aybh3 tities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameteut ,sh pt*;e.oi5vw.or of pipe A. Water undergoes viscous flow in both pipes, subject to the same pr tpho*se.uow 5vt.;,iessure 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 diavo u9)52b3jxqm tjmnqf-v 1. dmeter, but pipe B is twice as long as pipe A. Watemm.xqjqf9)v 5b 12dnvu3o jt-r 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 glj94q 8ip kpe /e6w3pt9xlqw )t w h-x8othw,2reasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of tt4e2wht3/tji 6p8wpx ,q-q9 o x)hklp89le wwhe soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is p6.y:x69ii -wpo k fb lmpf1k*olaced in water, the water rises to a height h. If thefkbxko -pl1ypf6ii*m: 6 ow.9 diameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight j1iu 5+)2a4mvmt-tme5nwt z fthat they can run on top of water without breaking the surface tension. Water bug A5+)1 t 2f jze-tw min4mutv5am 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 lightweighez6 m4l m-j8xk ve7+a)stce 2ykm7lt9t that they can run on top of water without breaking the surface tension. This is possible by97-mk)86ce +4m l ts27e lakxzmvjteecause 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 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 .7koyj0qw7 gk v9prt0cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. Whaovwj y90k.gpt7r 70 kqt is its density?

  A liquid has a specific gravity of 0.357. Whxk33c4+gu u loat is its density?

  A brick weighs 50.0 N, and measures 30.0tyf:r3 kj, w7p qb0,zl cm x 10.0 cm x 4.00 cm. What is the maximum pressure it canfqjpw:zb,k,t3 0y 7 rl exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has area gar/s9p3rg )c$2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a dea mzgjz16(t0v*w9b8 0ci tqlzpth of 120.0 m inqz1(lbz 9g06j8 civ t*zawmt0 the ocean?

  A circular window of 30 cm diameter in a submarinxz8cn:a1zyaubm1 ( z2 e can withstand a maximum force of n b (my:1uazz x8c1a2z$5.20 \times 10^{5} \; N$. 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 absory*y6vv .+ res8x-rhb lute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? 4v6c+cuin0k1pr( snu (The density opc0 6u(kiv r 1u4+ncsnf seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surfacnb2vo9c p mzn 3gd+50:mgu hs3e of sea? (The density ofn :3 v9m ozgc p5h3u2gns+md0b seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The sma i bd;-l9,liiw01guq vll piston has aug,qlvd- i;i0 wli1b9rea $2.0 \; cm^{2}$. 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 rapbx u7nw,i6 k+a44iylyif- ;rdius of 5.0 cm and the large piston has a radiusrwkp,74xlf+i 6i -ayb4 y ;iun 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 diamete581b wrangw9 kr hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplishnrw ga 5b1k8w9 this?

  The small piston of a hydraulic lif s h/vtauxz*;*t has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15vz/th; *u*a xs,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 and 3kmb 7 at(qr+8la2q/0d ornswm 3ox1y 80 N in water. What is the buoyant force of the watewr2yo am3d(qn+aslb07k1t8 8/ mq xorr?

  An object has a volu6n* y6 da .p61omppfbcme 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 is supported by a string while subm ftc k)b3 tku7j/6nn/werged in water. What is the tension in the string? (The specifibkunw ct7njk/36 t /)fc gravity of iron is 7.86.)

  If the density of go+pfgl +q:p8wx3-6qeiltnsz (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 submarine (fih71m g58bm g,q j6lst:t3v(s6tk ftdensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 itu +a fz.58evdk9f mi7y is in air and 6.86 N when it is immersed in water.yf +5mef987 a duziv.k What is the specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g.7f yf*g57msin Now a 20-g piece of copper (specific gravity = 8.9) is suspendesnffmyg757 *i d 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 densit4 ,p-0as gw3,pcxo gyyy 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 cm will just barely floz9mbwd z v-/d9at in water. W9mz/z d-vd bw9hat is its mass?

  A rectangular box of negligible mass measures 5.0 m long,doz f.5wt rya9. +aj6w 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sin y a9wor5fw jdta+.6z.ks 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 6aprz9 yzt71n weight of the displaced water is 2000 N. Wha6 9t 1nazrypz7t is the weight of the object?

  A solid object floats in water with threezc4haan* 5i4 cr6rp2 c-fourths of its volume beneath the surface. What is the object'*cc46a hni5p 4r2cza rs density?

  A 200-N object floats with three-fourths of its 8-rh-0(n m 7zskea+irr2cd b bvolume beneath the surface of the water. What is the buoyant force on 8m-ibnckr( es arbr+ zhd270 -the object?

  A polar bear of mass 2/hc nf) )2fp3cclipe700 kg stands on an ice floe 100 cm thick. What is the minimum area of the fll) cc 27ipf3/ep)fnhcoe 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 pipqp+ dzktafn -/ m34 k**hl;ja+psrn,ge of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm dia; tz+ xpia2d:kmeter restriction in the line. What is the velocity in tx2zd:i+;k pa this restriction?

  Water flows at 12 m/s in a h xlkph dg9j+v0z0e 2*xorizontal 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 i mwlv 47.2k)g5iq aptst take for a pump to supply a drinking fountain with 300 kPl v m2i5qst7apg). k4wa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in th9(vb bf+ey.c .jkwdj3e bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow out ov(fwe9jjc. .y3+db bkf the hole?

  Water flows through a horizontal pipe of cross-sectio )3v+cs t4zzr4 scni0d:ch0pdnal 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 woutfd7j-t m94ze ;f ram2ld 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 to te rm;f479d amj-fz2t the upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wa li rc-lc.lp,;7 eap np/bjh(1ll of an artery decreased the r,/acn;-1lr7.l( pphb i jpelcadius 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 obyjq1*ex )0r,2:f 1hijfyf wif water. Tube A has twice the diameter of tuj12 x:y fwyh*j)if bfi,0q1rebe B. If water rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rn/5yay8x/e s0c;a pcvise in a capillar/5vcs 0c ya/ae;x 8pnyy tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glaz s+0g;f44y pvk1dgyuss capillary tube with a diameter;1+ks4 fgv 4yzypgu0 d of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises i lf9ympfj9 od: 96jx(hn the tube to 4.0 cm above the level of the pam9jx:yd99ff ophl(j 6 n. 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 soa8bp58ji xjwp/ k4a mx5p film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, hm w kpx5b8px4ij8aj/ 5ow much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and is9(*2a jlas gsm built in such a way that one of the longer sides can be moved without bur(ag* l9s mjas2sting 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?