The three common phases of matter arefx8*xjzvsn, 0

  Density is

  Substance A has a density a *,e6 jkihcl e.0:imjof $3.0 \; g/cm^{3}$ 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 u9g.8fv;i rh0-qbv lqunit of pressure?

  Consider three drinking glasses. All three pez 9;gtfh lx9v)yu8, have the same 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 gl),evf9h;8z9x ut pyless water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and outside a tire calzh*xl;0tsb wai s61e2a3 d1t mled?

  When atmospheric pressure changes, what happens to the absolute pressuobnwj818 5 9us, fwuxn-ipve7re at the bottom ojnf7wvw u,nx1sp9 u8b5e- o8i f a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m xmmrtc 29)mp.beneath the surfa.)x9 mtr cmpm2ce, what happens to the absolute pressure on you?

State Pascal's principle nb etfjviolp5(dext wqy2t *.ws; )b6879cj 7.

State Archimedes' prii 3gqz 275 vp go)zt)c+in,zcynciple.

  $50 \; cm^{3}$ 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 consta(xrua*l-sf ;e nlsy1v-bv/8 r nt density, what happens to the b(/u- l nxs1e r8r*;fvyv-al sbuoyant force on it?

  Salt water has greater density than fresh water. A .i z;8vlnm9pa;3t 6u*9en5h vlwu jn)8hlz hrboat floats in both fresh water and in salt water. Where is the buoyant force 5ejhan8 z9;hr*.w lnt68iu lzl ;nv3u)m p 9hvgreater on the boat?

  Salt water is more dense than fres w:+nu 7fy(m+;c * xemfus5dwhh water. A ship floats in both fresh water and salt water. Compare+fd(;h+x u5um s nfwy7*w:c emd 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 mercu7gdv + 2elxp nqrv-7g3ry. Where is the buoyant force on the ball gren72 vgglq-xp vd3r 7+eater?

  A 10-kg piece of alumi(yuublmqb;a7 m+fb a:ho2 -;jnum sits at the bottom of a lake, right next to a 10-kg piece of lea2:; fbq-m;a+ulm b o b(yuh7jad. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. hi6 5f( px3 d.vlmrl*1rqqtx)If the iron is removed from the wood, what happens to the wat r(q 1xlirf6qmh tp.*l)v5d3x er level in the tub?

  A piece of wood is floating8vl4o;jvaz.9p7( ns momca 90clre0d in a bathtub. A second piece 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 the t( a ldjvcz709srv4mac80o; p9en. lomub?

  Water flows through a pipe. Th(.ny jwg2*nrde diameter of the pipe at point B is larger than at point *dr.(n 2w gynjA. Where is the speed of the water greater?

  An ideal fluid flows akz:)aooyt 6a: t 12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what i:oza:)ky 6 atos the flow speed in the wider section?

  An ideal fluid flows at ynv uq4h h8do 3tczk8e cw1/9 2v0m/ah12 m/s in a horizontal pipe. If the pipe narrows to half its original ru e08mzv/chh2/kw v89ntya1 qchd4o3adius, what is the flow speed in the narrower section?

State Bernoulli's princip,e2zf +osz 2,u23j oaposrfbr3ut/f0e j6l v5le.

  Which one of the following is associ eq r);9fna t(1n-qxyv6098akdko olxated with the law of conservation of energy in k8 9q1-kv)d0xotfyqorn ;ex 69a(n al fluids?

  As the speed of a movin9( ,qhnh,r pbr*l 7z73 yptoueg fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B ia8fj(jnzi-0b 7wq p px9+y.js s larger than at point A. Where is the w7 + z9bipnwpj y.8fjqa j-x0(sater pressure greatest?

  When you blow some air above a paper strip, the paper riseac2 ir7,amo.:xwk0kio6t. b es. This is because

  A sky diver falls through the air at terminal velocity. The force of air rwi/;x9 z+ wqeuh5 x9iqesistance on him iqx; +z/ qwhe5xii9w9 us

  Two Styrofoam balls, of radii R and 2R, are released simultaneouslygv2gm /wohubay fo1/o8i +4ekb b69h f.8k tu) from a tall tower. Whicyf//)8h ou.gk2ibbtk aohuf m + wg819ob4e6vh will reach the ground first?

  When a small spherical r4oz0 i zb) nnuxng(y+q0p6g7eock of radius r falls through water, it experiences a drxp+g4qn)0y6ze ig0 n uoz(7b nag force $F=arv$, 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 ea3a+ gr32eg tafkedc te tjt8.a,98m,ffect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, 9aerdgte cmat8ta,3+kf,.t8 j3ga e2 which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diam8jtg(lsd gx7; eter 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 pt( 8lx ;jsggd7ipe B?

  Two horizontal pipes havmw xi q4*il. bmc*j3u4e the same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the samei xi3.u*q lw4bjm*c4 m 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 "greasa1 jy) 6lsia2by" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in litt1abl26yjsa ) ile globules. To us "physikers", this is readily explained in terms of

  When a tube of diame3x qo,urx4c7cxn93adw+hhza 3 s0(veter d is placed in water, the water rises to a height h. If the diametavh xqa u+cex37sxdw49 h 03n3,roz c(er were half as great, how high would the water rise?

  Certain insects, such as the waterc3p 2fx a-a v8eyrh3(d 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, bug B is twice as long, twice as wide, etc. What is thexcarvd82ye 3p a -3fh( weight of bug B?

  Certain insects, such as the water bug, are sufo mfk,9 1mqdhz-/n 3tah3ffk:;xr u/dficiently 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 m1d:rk kaquf fh ; /3n/hx 3zmtd9o,-fan 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 cm xoq)x w ojd7e 9j4 )o4hs:nfjls/cka4+ 3.00 cm x 4.00 cm has a mass of 30.0 g. What is itf:4jl)eodkx )sqn o4/s+w7 joc aj9 4hs density?

  A liquid has a specific gravity of 0.357. Wh cj i9..,vawqnat is its density?

  A brick weighs 50.0 N, and m vxit6-j1 v;bow2no l a.txf6)6dhk6teasures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizh6d v 6)woltn6fi6xt;bk oa. -2xj v1tontal surface?

  A person weighing 900 N is2xws-i g-a7pz 3sfm.669c kem dlf e/cnr2rp* standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstanpetvk+*+xla9* bsx) vd at a depth of 120.0 m in tpx9ev+b *)vk+s xlta *he ocean?

  A circular window of 30 cm diameter in a submarine can withstand a maximum fe2p,e wld77 kaorce of 7dl7 ,epw ke2a$5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure if a y2 -kcugus30(nomhfn (41hp the absolute pressure is 300 kPa?

  What is the gauge pressure at a 5t1f1 ;5dvrcwjq/xuel5a9oq location 15.0 m below the surface of sea? (The densitv;e f1xlor j5/q u5w 51q9dcaty of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface of ythgbg p. ok7io7)0i3 ,d8t;bn3grvosea? (The density of seawatgyi.0do3hpgtoo3ni8 b,vr;gb77 k) ter is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The smalqyesuc n m+:yx c0yeq26 ()7mrl piston has area6c( )m7uem:r enyq2yy0cxsq+ $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small pinkc t7rv: ,,nuston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to lift a car weighing 20,000 N on thekvurnc, 7 ,t:n large piston?

  A 13,000 N vehicle is to lmc)3pf0 an6kbe lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm di6fpm) ak0 cnl3ameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large pd.n delg* sd wnvb ;n4sczp225xg2q 96iston has a diameter of 40 cm. The lift raises a lcg*p 4zd.qvb ng96 xn52d s endw2sl2;oad 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 ani()eezrsn--4iz,hb a b/:acjsdy ;9 c ;ww2kb d 30 N in water. What is the buoyant force of thz s, w-bz:;becka/ab; w in)4s2(h cj9die-rye water?

  An object has a volume of 9lvw)lmoig 9b(x-pg5 $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supporyf 9e.o3oyv+ kced5 -xted by a string while submerged in water. What is the tension in the string? e+ k.f9dycvo5xy-e3o (The specific gravity of iron is 7.86.)

  If the density of gold is 6 g.whz ok;p;c8pms; j$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel sub,ratakt;w3 dz mk.a7.marine (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 immerc dxztzp36bd: *ei0 (z6-m-/v ugmxjssed in water. What is the specific gravityci:zbep(du-gm mj6 -*xz 36 sv zx0td/ of the object?

  A container of water is placed on a scale, and the scale o 8vg6iq/ lgjrrd1r)1 reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspeg jlorrdg v18r/q)i16nded 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;0bha58 iyac c.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 length 12 cm and diameter 2.0 cm will just barely float i8 bmm1 0i 5t /1vsdf.klqovm*un water. What is its ma1vqfmto0idv1k/mml* 5b.8 su ss?

  A rectangular box of negligible mass measures f 9;tuphmd-55biqqa l ok 3t735.0 m long, 1.0 m wide, and 0.50 m high. How many kilog9 q5h3 t3bdolauqkm;7p -f5 itrams 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 beneamw l *6mp-z;pa+n:ryxth the surface of the water. The weight of the displaced m 6w-p p+mrny;: z*xalwater is 2000 N. What is the weight of the object?

  A solid object floats in water withsuh *13re;zt9qogx z 8 three-fourths of its volume beneath the surface. What is the object1r*hqg 8x;soze9 3 zut's density?

  A 200-N object floats with three-fourths of its volume ;u2vnkvt/ns1beneath the surface of the wauskn2/v;1 ntvter. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an icej,lr6b)uyo c: xvr):m floe 100 cm thick. What is the minimum area of theocur6x )r) ,:yblj v:m 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 i55; wduu; ke*7 xde,oc aihr8n 9ujy-m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0v0tl8fh n1a(tdn90 gn cm diameter restriction in the line. Whgn01d ttal v0n(hnf89at is the velocity in this restriction?

  Water flows at 12 m/2 6rihb uvc8+;kky:ak s in a horizontal 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 drinkj+ c sag,xm/b.ing fountain with 300 kx./gm ,+c bajsPa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank thamo.r fn,,f(fmt holds water at a depth of 15 m. At what rate will wateo n mfrf,.m(f,r flow out of the hole?

  Water flows through a horizontal pipe of cross-sdhel .li:9tv6(3 kurfectional 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 would j-xc nwqw)- 1y vdn8p7xstp3* 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 neyw*q-38jw 7c-v x1ndtns pp x)ck, 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 a y -sz,lwtd4dfb gq-gx22 ;r,rn artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be dg-g-z42,rq2 ;dsr xlfwt yb, increased to maintain a constant blood flow?

  Two narrow tubes are placed in 4w7 1hzvrt z(ga pan of water. Tube A has twice the diameter of tutg4w1(r7 z hvzbe B. If water rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water 8yn; hhjg)vy. is 0.073 N/m. How high will water rise in a capillary tubej .yhg 8yn);hv of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsp2 pw bc1x)sc:ius rise in a glass capillary tube with)1cxc 2:bw psp a diameter of
0.50 mm?

  A narrow tube is placed vertie28;9+senxog; c)k 6bei ugb ocally in a pan of water, and the water rises in the tube to 4.0 cm above the level of the pan. The surface tension in the liquid is lowered to one-half its original value by the additigebe in);xbcu+89;o 2g os ke6on of some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangularmv0jyzig-g, 3 frame of length 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water isi- 03ym,vjzg g 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 cvsu:oc-4b) , ma i8atxrd 9gw(*hg*fom and width 5 cm, and is built in such a way that one of the longer xtmw4 uv-f o b ,9go8*ar:d)(hg*ciassides 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?