The three common phases of matter arz *9+ zlwee5slv jv7t9e

  Density is

  Substance A has a density 5 1ti:5g)dpxcudap9oof $3.0 \; g/cm^{3}$ 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 pressu 3yx:a+ mt tz 3ud-l.lv;pphh4re?

  Consider three drinking glasses. All threkcmf. 9+hl+c) m vhi;ee have the same area base, and all three are filled to the samec.lm9;vc em+h+hikf) 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 liquid pressure at the bottom?

  What is the difference )tv( 6kerivd 2between the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure abgf8ov)oxh *av/ u,f*t the bottomvfguav)*, x f8o*bho / of a pool?

  You are originally 1.0 m beneath vx l 99mm3xt56.jhomrthe surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute prm xx6r 9jto593l.hvmmessure on you?

State Pascal's princi08ou4r yx5tupj; y8z tple.

State Archimedes' pr-/r.a j 0 jhjfx;rpkk+inciple.

  $50 \; cm^{3}$ 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 deepeftzgst) .b *h jvf)+6mr and deeper into water of constant density, what happens to the buoytz*mb) g.fv6js + )hftant force on it?

  Salt water has greater ks -rd tzni p 9li2si*wtyz.gy(6(t8(density than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant foti-gy ki628p 9ziy(*nt .(w( tdlzsrsrce greater on the boat?

  Salt water is more dense thafbq1dd g-: ve*x4ch2wu*:nxvn fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water ddcqxnv* 24 1 x:hubwgd:e*f-visplaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercu,wwmzg g:a9bhcf 1s/ 1ry. Where is the buoyant9b g mwa1/h,zgs:1 fwc force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lak1t+ 5dsrk+ tbse, right next to a 10-kg piece of lead. Which has the g1 rssbtk++d5t reater buoyant force on it?

  A piece of iron rests on top of a y6 f2tx e5u)1dwsy 1ckmh-a-3vhgoh(piece of wood floating in a bathtub. If the iron is r(h1- mt vhk 2gs)x w5fyhuecd36ay 1o-emoved from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second-+ntpz we xxf;;/x;yq piece of wood sits on top of the first piece, and does not touch the water. If the top piece is taken ofxqzxn- t;x fp;/y+e;wf and placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The ddeuxd)ts0j7x 3c/9 :nwq2:ps tus8tb iameter of the pipe at point B is larger than at point A. Where is the speed of the:t ju d sxwnsqp2tcs387b u9)tedx0:/ water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens pi a yf4*w,8p kklt23oto twice kywa3p8*f4i, l2k ot pits 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 hiv+ev wct4hrqx l,)3a y.;zb 2alf its original radius, what is the flow speed in the narrower sect, +y).rx4qah3;vicbwz v2l etion?

State Bernoulli's principle.k iqk2i; h0dz.

  Which one of the following is associated with the law of c9 3kv -fwhvy-gqg 4mz4m8qfp+onservation of energy in fluv8-zgqmf3-gh4 y49vw p fm+qkids?

  As the speed of a moving fluid increases, t.,wt l(bqzwy-j oiydd7+- 3jjhe pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger thaukzm)+wx35; i;k t0 .cobtjw kn at point A. Where is the water pretki;5cwjw0ko +t3xz )mkb ;u.ssure greatest?

  When you blow some air above a paper strip, the paper rises. Tx4 s:;qztls *qhis is because

  A sky diver falls through the air ag3w1. tqz lc/ xu2h5pot terminal velocity. The force of air resistanch/g3zwt 5 x.l21uqc ope on him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously 3 1p1v -*cehxfgyda7cuigp4; from a tall tower. Whichvhp3efx y-*id11p cgu a7c4 g; will reach the ground first?

  When a small spherical rock of radius r falls through water, it experi*4a-th, in .3ce.af: .t2o tfwmglm8dzaqd* nences a drag force dc-e.nh:fzt4miat. ngflq3 *d 8wa, .o*mt2a$F=arv$, 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 narrow pipe? Ty.gfnywz -x wjp 3)1r-hat is, if you made a 10% change in each of-n f jz13w)pwrxgy. -y the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the sakfr,) no h2u (cqa)f.ixkob5 m:tz9 )ome 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 Baho fx,5b).2cukim9tknr ))fqz o o(:?

  Two horizontal pipes have the samw,xn ig-:c*f .a ueqn(e 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 in pipe B is Q, what is the flow rate in pipqw:g,ef un*-n i x(.ace A?

  When soup gets cold, it often tastes grea(u3odlw; bz 7msy. This "greasy" taste seems to be assocido; wl 3(zmb7uated 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 terms of

  When a tube of diameter d is placed in water, the water rises to a no1qauov1 +xf6kd .e2 tzj+0cheight h. If the diameter were half as great, njfo6ze1 qod2.v+ x1+ uka c0thow high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight b e5:eh *xtsz;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 dimensi:t;sz bx5h e*eons. 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 lig82bolnhj) w6rrkb b:2w z ;s, n20ohqchtweight that they can run on top of water without breaking the surface tension. This is possible becajho6b ;20:ckbsbz) h2owr,8n nrwq2l use 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 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. d9v g3b (acpl: W(cd3pa bv 9l:ghat is its density?

  A liquid has a specificr5kc9bdb 3 n1b gravity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.z02q:lwu kec0 0 cm x 4.00 cm. What is the maxiclkw0: uzeq 02mum pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snows-h h .g1ljme5w-a jaa9hoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depthqytj4 m:;9j px of 120.0 m in the oceanjj4p q9 t:mx;y?

  A circular window of 30 cm diameter in oyg2 fgz3 mq1j0/zc0y g z07iaa submarine can withstand a maximum force of31z0yy0i0m/gz z 7gfgocaj2q $5.20 \times 10^{5} \; N$. 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 absolute pressure is 3005yg an1(7a gjdyc y21s kPa?

  What is the gauge pressure at a location 15.0 m below thepv u*3 1c3-5vurk9h0jo uu ulf surface of sea? (The density of seu5jul h3ru9 kvp*o f-0uu3 cv1awater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute k /(bvgil .x3 v-6,ii9tufdrh pressure at a location 15.0 m below the surface of sea? (Therkf-gv vlui 6ith9 (bd,.3i/x density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic mac 1vcr(1v e7xbdhine. The small piston hacrvb(1x7v de1 s 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 a radius of 5.0 c:fa1aq g- ufsu c h.y(d5 1wax-6hlho,m and the large piston has a rad hfau6ahf: .l1 c u(ghowas -y15q,dx-ius 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 d :xp ynjbg++02yid+ o8 kny1osiameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish thij:p8 by io+g+d0 okxsny2ny1+ s?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its lm)t kem,a nrviy6,q)rox9 )f9c u:h6jarge piston has a diametmj 6cyu, 9) qe:hi ),xn)mv f6rat9okrer of 40 cm. The lift 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 weig*v ktse/sa,v)cv ) v8zhs 40 N in air and 30 N in water. What is the buoyant force ov*zs)8vs,v ke)tc/ avf the water?

  An object has a volumqtz*1.lvmet : na5g,fedy .w 9e 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 submerx 1b *:9mgpjn)q nxkc/ged in water. What is the tenn)1 mjpg9/*bxx qnk: csion in the string? (The specific gravity of iron is 7.86.)

  If the density of gol1:uk)8 (4)rrmy c e3siq9 kos3hszyqkd 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 submarin. +cojkg32gkgotcm sh*7)p5 xe (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 ;oyz l n:o ij3f6lwt1*is immersed in water. Wh;ofj :n ly6 io*lt3wz1at is the specific gravity of the object?

  A container of water is placed on a scale, abzspir / -ul;.nd 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 watlsr/b;iu z-. per, 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 density o,jpbr) * bla8l fr7y- fcj1-oyx/; kauf $2700 \; kg/m^{3}$ 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 biow03e /*ps8l1ee iwxarely float in water. What is its ow 0i/l1 3ip*eswee x8mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m w 866 ol,5nd- qwtyrx k3jspe:tbab+6mide, and 0.50 m high. b ex 6pd6m35nt8:6s,lt+rbkwa oq -jyHow many 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 the wa l tk/zcj436rvter. The weight of the displaced water is 2000 N. What is thz63j clr4t /kve weight of the object?

  A solid object floats in water with thrgq5 ypeupvp / 6t+m1mj2dkq, 0ee-fourths of its volume beneath the surface. What is the object k2upg+q,dqe/ t 6v5p1m pjmy0's density?

  A 200-N object floats with three-fourths of its volume beneath the surfaccksbj(0julgaz(j 2 -vbfu9 (5e of the water. What 0c(-afbj 9 kj(uz(vgls5u2bjis the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is p0yy 7k ssw-4sthe minimum area of the floe that will just support the bear in saltwater of-y4ssk 70sp wy 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/s. Find the flow , (:iosko r/q.nm gg-urate.

  Liquid flows through a 4.0 cm sa21 lky lwgf* r1w:v2diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restrictionwfyl*lv ka1gs2r:1w2 in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure f:-jm9t t yyfuu4q6cn(; ;ba jof $3.0 \times 10^4 \; N/m^2$. 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 drink)xve s(10-isx e*+flysmv vc0ing fountain with 300yv +sl-ex0 0is*(cm)f1svv xe kPa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water srium.c, b4nhj xh (yse+- fm -ayuy0/;torage tank that holds water at a depth of 15 mu/.;u s i+a(he b40,c myxfy-hnm-yj r. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-nw(j7ba- (ex xsectional 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 zv q;+6v/zmo git take to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Asvv+mzo/ ; zqg6sume 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 the walli+cd 7s qwh-y5 of an artery decreased the radius by sw5 -+i7yd hqc10%. 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 of a 324x8jstwn wr*.nd-msn ,imwater. Tube A has twice the diameter of tube B. If water rises 24 cm n,2ima8.wssnx-drtjm 3 w4 n*in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will (,v hnaf)mguf0 76zkp)-muc kwater rise in a capillary tube of diameter 1.2 mua06 )kfm(g,pzkmhf -u)n 7cvm?

  232

  To what height would water at 0 degree Cee(9 )j r:x:iir 74j8-xig ( najdzh(rpm ;hsixlsius rise in a glass capillary tube with a dihxm : xns-9 rj:ra )ier( iipz(ihd7g;j8j(4xameter of
0.50 mm?

  A narrow tube is placed .m)gws: eaeut10h4pjz 4og.t vertically in a pan of water, and the water rises in the tube to 4.0 cm above the level of the :ut .m .4thgpjzgws4 e)eao10pan. 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 leng*;w6 2 5-zsmoknn)s mh,esf rn0rw ay5th 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force doeaywssnom-5nw ;, 5m02k n6hs)ez fr*r s the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and wr0isx; yyoi . 6:w;oth)6ko+b xlgio.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 0.02i+ iio:.ygw;htkx. lb)x6yo o r;o6s06 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?