The three common phases of matter gzm5-e p2:k1v4 yg moz2 m:rtuare

  Density is

  Substance A has a denslr se nh 00( :b45sn.ve b+vfyas:v8tdity 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 pressure?ilw1 yqa 9,5sdc.ge4r3md dlt .l)o-d

  Consider three drinking glassh6arbbnnyj y kv11p;6 52pb-2 cd3wzjes. All three 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 less water than A. Which glass has the greatest lizbyk1v 2 jnwb36125 yhj6npcd; -ab rpquid pressure at the bottom?

  What is the difference between the pressures inside and outsidmzsj;rc xfatc;k9i2 9(tu6 ,ze a tire called?

  When atmospheric pressure changes, what8hifhb. 9+sw fro o6k( happens to the absolute pressure at the bottom of a pool?.oshhki( b689 +r ffow

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m 7z6gcts ,xkl-5zxr ; h*ov 6tybeneath the surface, what happens t*y6;-k h57sc zgtl xvtxr6o, zo the absolute pressure on you?

State Pascal's principgm a.qh2;vpp ome4(p8.7usvr le.

State Archimedes' princ1j4h c-l*j gf(nghmx*x;xot- hex0w 8 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 deeper2cmfo6f yl 86p and deeper into water of constant density, what happens to6cffp8 yml26o the buoyant force on it?

  Salt water has greater density than fresh water. *bn4r8,x xaryu 7 vs)q A boat floats in both fresh water and in salt water. Where is the buoyant force grbu4 sxx)87 avy*rr,q neater on the boat?

  Salt water is more dense tha gl/yxiq58nrxc fs8.0n fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salty8xg5x.l/c0 rnsi 8qf water is

  A steel ball sinks in water but floats in a pool of . jh4g3oz6x;m osoo2l mercury. Where is the buoyant force on tshol6.3 2 ojx og4mzo;he ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right n zu2k( rhfd1/ q4ugy5mext to a 10-kg piece oy5d4rguhm qu kf(1z/2 f lead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a4e/u h b-+zfek bathtub. If the iron is removed from the wood, what happens to the water level in th-ek +zeu h4fb/e tub?

  A piece of wood is floating in a bathtub. A second piece of woo hv,co:xq.-0b+ lzpbad sits on top of the first piece, and does0:+pox-.vlb,qb azh c 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. Thss0s2m.*rzat:l;j8vk ams4 k e diameter of the pipe at point B is larger than at point A. Wh4klkj.s mt8s2sa rma0v*z:;s ere is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a h0j3u(nk5hcz iorizontal pipe. If the pipe widens to twice i3czkjiu(hn 50ts original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows to 4ohc m,xe+i n i/2vg1ahalf its original radius, what is the flow speed in the narrower sectie m1vhxiac ogn2, /4+ion?

State Bernoulli's principllzmxihyf o 5fi3g*5/ d) ow i;9a2tv-ue.

  Which one of the following is associated with the law of conservation of energy lo*l-l4-x g nm*)on)j vxsi;n in-*nvs ojno)l;x*)-nl i glm4x fluids?

  As the speed of a moving fluid increases, the pressure in thapx*k8 )dy3k1alr p t9e fluid

  Water flows through a pipe. The diameter of the pipe at point B is larg3ktsq t 7rff8qt0 -n,wer than at point A. Where is -n7rk 3qfttwq f,0st8the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This k9l1,wg f 9ljtai2pdgu2 9/i 1ga;tptis because

  A sky diver falls through x,-hxnz tqr0 0the air at terminal velocity. The force of air resistance on h0q xxnrh -z0t,im is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from -*:yucw2ozte 3d5evfn( sk4 nk r.0v ua tall tower. Which will re4veu3rnynu2f w. d:0(zkk voe*s5c t-ach the ground first?

  When a small spherical rock of radius r falls through watm) z5 p bpf;(2(kfzylter, it experiences a drag force z( by5kt;lf2p)(f pmz $F=arv$, 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 4;vboxl r c-odc9s4/jthe flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the ; co9x r4-cj vdslb4o/greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice c*7w wybz v r38tvjzm)(ush,gmc+ +z.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 iv*+sw u bzzzj.7cy3mhc8w (mg ,t)r +vn pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes ha( ,v qh m4egmqu glryjcv77tu)*4i0g-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 e4) q vgh7g v(l*0t7y- 4ji um,mqcgruflow rate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes gl bg7y.t nwxp(p)(b .kreasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "php(ln gybw ) ..x7pbtk(ysikers", this is readily explained in terms of

  When a tube of diametera +cd;llky8wq22 lvvet p. o74 d is placed in water, the water rises to a height h. If the diameter were hle;+vvo42ltkp.qdl72 cwa8 y alf as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficienme1c2a qyk/cg n)4;u ltly 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;l1a)c/yk 4gcqnm2 ue, 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 lightweight that th 1pfar tzn+o6ri y,2)xx.hf/pey 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 o.nzpr1hr, 2ffai6t)xy xp/ +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 cms+*to 5:f +srzrfno0 i x 3.00 cm x 4.00 cm has a mass of 30.0 g. +nroz+ os0 tsf:fi *r5 What is its density?

  A liquid has a specific gravity of 0.357. What is its d77x 0 (bdb7n;y kdhq6ahva kb;ensity?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 civvg pfb8upj oq6+ 9:)m. What is the maximum prujvv86 gof9i+b p)qp: essure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each sno: dszo/( wd*c/cn0g. f 0pqxjjwshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withj4c0g- cdbly.stand at a depth of 120.0 m in the ocl-dg0 j4 yc.bcean?

  A circular window of 30 cm diameter in a submarine can withstand +a (6 g*7dvy1ubejg pta maximum force yjg1u67be (+*avt d pgof $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge press6 iybl 0dgl:6yz5;fcbure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.q:s 5+:ly/e7 crqfevu*/c,p hs:xj ke0 m below the surface of sea? (The density of seawatjpc k,qre/:luf:s/hs7y v e:*+ec5q xer is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 151cua 59u:7,5 h4v rmljoenkfx.0 m below the surface of sea? (The density of 9u57h rcj4 :uk1ov 5em,fna xlseawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The smalqmq6kt,dew1crn7 g6 ;n80hzul piston h r h6m;qt 867egwc,q0 zdu1knnas area $2.0 \; cm^{2}$. 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 v u9wb6;yn y7re0rrxm) wj .r;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 the large pistonu9rj.y 6y x7 )w;b rnemwrr0;v?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter ,:kya35fjg+baego:l u1 pxn 7hydraulic piston. What force needs to be ap og:gfy:bn,7pj 5al au 3e+k1xplied 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 its lar3jp 7m, : 1f)hkzqohffw+9wiege piston has a diameter of 40 cm. The lift3+ :em9jfwkhfwpz of7, 1q) hi raises 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 weighs 40 N in air and 30 N in water.373 n : yqvujvdoo0y3w What is the buoyant force yu3oo:v3 yq30ndwv 7 jof the water?

  An object has a volume h. ; v cocfg4cl38 b69vgkvo4qof $4.0 \; m^{3}$ 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 subr40zac ,fl spvz c 92u1;wbjw4merged in water. What 4c2z bpjl 4;u ,rvfczw1w90sais the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold i + ,xzvr:xpig,s $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarino f)u e7oi3m5oe (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 incoj*ysi1-jr gte: *6mqnf5aqe- b-z * air and 6.86 N when it is immersed in water. Whae*mgoe- c-stji6* b5r1 jq:y aq-z nf*t is the specific gravity of the object?

  A container of water is placed on a scale, and the 1j) y9p2 dl5seb2ux ffscale reads 120 g. Now a 20-g piece of copper (specific gravity = 8bff9)1psj2l5dye 2x u .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 withlyp ph1 fvlfw1m j,) .k*1i.sq a mass 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 length 12 cm and diameter 2.0 cm will just bar6(s oxul 1iuou:nm6. rely float in water. What is it:. o ouux1s( ulirn6m6s mass?

  A rectangular box of negligible mass measures 5.0 m longh r +k8a*gbtlok191gl, 1.0 m wide, and 0.50 m high. How man8 btgk*a 1 llo9+grh1ky kilograms 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 thel +: cqwob(rgq7a3b5:1ldhkydv40 id water. The weight of the d lk15qhb7 cb0d y3+v:qa rlg:dd(oiw4isplaced water is 2000 N. What is the weight of the object?

  A solid object floats in wate8gmc/ *b/ y3yly 5i sah*bt,uar with three-fourths of its volume beneath the surface. What is the o /mu /5 *3ysat yl8i*ychgabb,bject's density?

  A 200-N object floats with three-fourths of its volume beneeh-yxe: /bv3 rath the surface of the water. What is the buoyant force on ther:-vy ebx eh/3 object?

  A polar bear of mass 200 kg stand- h+nl)477 kmvqhm aics on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear a7hqn-l 4kh7+c) ivmmin saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe or5myi-hnbh8okl2p ac5o9t z(3npb 04f diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pip/f):vj g*lwr n pp/(rje at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this restriclp w:/r(*r/np fjv )jgtion?

  Water flows at 12 m/s in a horinn-j 4z;6bi0jh um)szzontal 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 tak8 3shhw /*j/sxrec w f:k t/70nhyiwk1e for a pump to supply a drinking fountain with 300 kPa, if the founta3i7/es:wx /*hkh0/wh8fy t 1wrkcjsnin is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs t9 da 4kh:g8yml5v/oxin the bottom of a water storage tank that holds water at a depth 5y9oxm/4g:k lh8a dvt of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cru fstemk7;2cd d ;-,jdoss-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 9 takix15uj: zt pn-06ey7(q)wckyvk.20 Pa-s. How long would it take to pour 4.0 L of oil through a funncev 9y :6kqtt ( k0yx-)ikw5nuj7ap1zel 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 the upper part of the funnel.

  Suppose that the build-up of fatty tissue on tr-;8z nl njn+z(s3o* -iufmz sv8n0yfhe wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be in+nzr*i v(n8oz ;um0s8j- s3f nny lfz-creased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of bm/pbtoyxqq0ms48p *7rg73g water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, hoqrg0pt3m7 qb/8opx 7ys g4b*mw high will it rise in tube B?

  The surface tension of water is 0.073 N/m.3.a- v: oc4oxv2)akuhuo4 qm1omx(wm How high will water rise in a capillar(k 2umaau - 1m443hoq). ovo:movc xxwy tube of diameter 1.2 mm?

  232

  To what height would wc5p4 u-/cax clater at 0 degree Celsius rise in a glass capillary tube with a diamx5-clc/cp4 aueter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, a /s-p e +8prsmgbfz cpjoh84v3o;4gj5nd 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 addition of some soap. What happenss ojbg45vph+ c38mp pj- g4 /fer8oz;s to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m wiyo/ ry.ma7zu k,o4- ieth a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much fyrz,k-aoie4muy/ .7 oorce does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has lengfe 4 *foey+dt5 n6r7xkth 12 cm and width 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 45r7dft x+f6y *e onek0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?