The three common phasdkj3bmk s /9msr *no90hb v7h3es of matter are

  Density is

  Substance A has a density9 dx+lw8q cqztk)r3k6 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?zw0t9,ya majd ijpw/d2ts :5*

  Consider three drinking glasses. All three have the s8ti9vf7f;s2 zt3sev /a te7 flame 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. Gl;/tf9 7te7v3ssvf2i f8lz ateass 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 wl1yt(q.x.+ zo -)i x wq*icaboutside a tire called?

  When atmospheric pressure changes, what happens to the absolute pre2p,,pd+3;z:l 5owvhdfktw d 2xm 2wr essure at the bottom lp v5hzke, mp;2dwxw2td2f +wd,ro3:of a pool?

  You are originally 1.0 m beneath the surface of/xdcny+y n7dv-;p7*vuj,v k *7daet h a pool. If you dive to 2.0 m beneath the surface, what happens ty*pk ;n vj*u7ey-vnad/c, d+ d7vth7xo the absolute pressure on you?

State Pascal's principy2 */v7)it qlk l:vzdrj-xi- ple.

State Archimedes' princi/v txx).6jc yvple.

  $50 \; cm^{3}$ 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 ug7jkzh l4/o9,m ,rjv constant density, what happens to the buoyant force onk,7j ouj/4 ,lr gvhm9z it?

  Salt water has greater density than fresh water. A boat floats in both free-1)z kx :zftzsh water and inz kxefzt1):z - salt water. Where is the buoyant force greater on the boat?

  Salt water is more de5 9t,iva;pd d0b fj1 f2cby6bense than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh c0ibj b5tv1y2f; 6da 9df,e pbwater, 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 th6,t*ke/x ynru5r ksh. e buoyanx5rhkenu.st/, *k ry 6t force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lakeq5vgi q8s1d a +wq9;i+y.pwta, right next to a 10-kg piece of lead. d85iq1asw q+ivq; +9w.pyag t Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub.+0vah 1vwi.bf3 l: rlx If the iron is removed from the wood, what happens to the water level in ta 3vbxl1:l .h+ wr0fivhe tub?

  A piece of wood is floating in a bathtub m2 ;os,zh2n;:wht7 f ic4bhsc. A second piece of wood sits on top of the first piece, and does n:cth,c7 n;mzo; sf i2whshb24ot 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 pipevz4/ws v*m.uhpw:- ho fnw*-o4jpsx , l(5rcu at point B is larger than at point A. Where is th v*h pf 4wuxjol.*ho:4 5/(wc--zsv rpmn,wsue speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal piva: (0duas28 .qjt-dyvhmbw,6v.iag pe. If the pipe widens to twice its origin0( ywav2 sia- tugadmjb:vh. 6dqv.,8al radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizonrjx*l/r9-n+ssf /b9 iymytz/ t7ov/ x tal pipe. If the pipe narrows to half its original radius, what is ti//+o tj/vf z xnsy7 s9tr/*lbrx m9y-he flow speed in the narrower section?

State Bernoulli's principso;hdh( 3)(z f 9hwp38 l o/pwy9xwgttle.

  Which one of the following is associated with the law of consekso gs1 /1,kigrvation of energy in1gogk ,1s ksi/ fluids?

  As the speed of a moving fluid increases, the pressure i u99t*dg/yl.ub0 m 1ppn gy;jzn the fluid

  Water flows through a pipe. Theb6,lte)j kg2dhr9hs7 f +zk47zlz/ai diameter of the pipe at point B is larger than at point A. Where is the water srlz7h72l/ )k gae iz+9z4b jk,fd6t hpressure greatest?

  When you blow some air )lw;irk jc,1 iabove a paper strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of a03zczzbr 19zf ir resistan3b0 1 zzzrczf9ce on him is

  Two Styrofoam balls, of radii R and 2R, are rel+7 emlkcp( k9f- reyd g8u;oe3eased simultaneously from a tall tower. Which will real mreu7 9ek+3(yg-;k c poe8fdch the ground first?

  When a small spherical rock of radius r falls through water, it experiences -lgqy.1e-pgmuuuh3; ga9/ eea dra3ypumu-l-; .eg e/ehagqu 9g 1g 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 effect on the flow of fluid through a narrow pipe? That 2w5nip5( 8wzqe )joij is, if you made a 10% change in each of the quantitieoq n58z eij2pw(5wij)s below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length :c6e,ctpjc5v , 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 e,5vc:j tpc6 cpipe B?

  Two horizontal pipes have the same diameter, buqoou9::-opq 6jb e1gwt pipe B is twice as long as pipe A. Water undero-p 1wjuqqo:bge9:o6 goes 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" qn6lk s4y0:u4y khl 7*hpjqq 2taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little glo20 7hkq lkqy*p4 hqyl4 jn6:usbules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is6 qhv n9l9nq9,6qp2qr xz lf/l placed in water, the water rises to a height h. If the diameter weqlq9lpqx n/692 zvl9nq f hr,6re half as great, how high would the water rise?

  Certain insects, such zmert241 u 6ubas the water 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 ume1tbz u26 4rdimensions. 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, arej9r-km64j 9ul ;l- ;yhbiw nag 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 thau9k bl4-;ry njl69gw;ij-hma t 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 g1g;j7idp e 4z4.00 cm has a mass of 30.0 g. W ;dpg j4ig1ze7hat is its density?

  A liquid has a specif/4p4uhlwb bag l2 2akbk93k0afz e(n 0ic gravity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. +3h *8ux nr d1ctgo2fd What is the maxiu8 g xnd*f 3othdcr+12mum pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each sn6bhzn k d)8m.nowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a sawj/dz o89wka1lt,*q ubmarine withstand at a depth of 120.0 m in the ocean?*8k/wwtldq,9 1ojzaa

  A circular window of 30 cm diame,txgun k6v j)9az-r5lter in a submarine can withstand a maximum forceaujv6 x ln9,5 kz)t-gr of $5.20 \times 10^{5} \; N$. 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 abso/om igmn,3;0wypio la+0wy l r 25kqh5lute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m belrzt(+d8 1t /qvmooxw6ow the surface of sea? (The densiq+vo 6 o(wrx/d1t tz8mty of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure a o;u;:i:sd nu 0drrl;lt a location 15.0 m below the surface of sea? (The density of : r:u iulsd;0d o;ln;rseawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machin6- oavbccve/4ksl3;blb wd 6:e. The small piston has a e6k/vbc 63-w :lldcov ;4basbrea $2.0 \; cm^{2}$. 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 cm and the l) hesd9/sh9 2opx (vcqarge 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 th(hv9qcphess )o9x2 d/e large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic piston. Wh yirs1 .8owxdxrzc1 s b---:aoat force needs to be applied to a 5.0 cm diameter piston to ac.: -yrx1ods- -r1xows azbci8 complish this?

  The small piston of a hydraulic lift has a diameter of 8.e f/bon0 4lyq8ovowga*g2v1 +0 cm, and its large piston has y lnvga qfb0g+42/w1ooeo8v*a diameter 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 weiam q0;0qimtzt. ide +uh.wkl4t 7z-c3ghs 40 N in air and 30 N in water. What is the buoyant force of u.id.lizhm+z-c7 0t;qawmqt40e 3 tk the water?

  An object has a voluhcf5rk y5,st/2zz x j:me 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 alwz4 -psfl+8w6p d9ev string while submerged in water. What is the tension in the string? (The specific gravity ofvppwd9l+4 e-w8 zf s6l iron is 7.86.)

  If the density of gold is ,j4ea.l2s pvrepe3; m $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (density 0n09l1vilg 3 x1 zuoocs/yr5f = $7.8 \times 10^3 \; kg/m^{3}$) 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 immersed in watl2y6acx1jp0: h qbd m:ylqz )yj4)j/jer. What is the specif2a /0j x:hjpdqbjjc)myl1y6 :4yqz) lic gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Nowl8**e ioe6kzjy6 dv 6c a 20-g piece of copper (specific gravity = 8.9) iycd o6**6ek6i8 jz evls 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 with a mass of 1.0 kg and density of:a hh z8u4/.ts.gw gsdhzlj)5 $2700 \; kg/m^{3}$ 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 12cy*prxvj wt6 ahi 4iw :);o+o4 cm and diameter 2.0 cm will just barely float in water. Wc+;xtjoo)a4p v:wi *h 6 iryw4hat is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0sn e(l- * zsej:83lcoe m wide, and 0.50 m high. How many kilogramscn8ole3 ej(-lz s*e :s 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 water. The weuv* ej(y0vcv, ight of the displaced water is 2000 N. What is vyc(0 ,ev*vjuthe weight of the object?

  A solid object floats in water with three-fourths of its voluxi4a hz2gnug/ d7*5 feme beneath the surface. What is the object's densi*4 7 zeu2n5g if/daxghty?

  A 200-N object floats with three6 4a3x( + qgqivjcrg)y-fourths of its volume beneath the surface of the water. What is t rc)qq( gi4y63jgavx+ he buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. Whatf2h0xol/z cyys4l4q v: k u:,z is the minimum area of the floly0h/f:q ,zo 2v4xc:4z ys lkue 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 diamete9q ntexm 8s54qr 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 8, wer k28shm3zk o8(lk3k0 zevtsun,is a 2.0 cm diameter restriction in the line. What is the vemeukk h23ks z0w,l 8e8otvr3 8,knz(slocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressthw;tlkl 2m /4ure 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-g/ ye1bf)cks8;miv. vq,b gs a drinking fountain with 300 kPa, if g18)/kci,;y bq.-mv vbge ssfthe fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a wate*l-bd zo8q3 qx i3f-tmr storage tank that holds water at a depth of 15 m. At 3- bi-x3fm dqqt l*oz8what rate will water flow out of the hole?

  Water flows through a horizontal pipe of hiag q-hv9f u:(mt: *bcross-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 0.20 Pa-s. How lon 5fdz8*sxog 5yg would it take to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm ify*zx d 5o5gs8n 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 fauh7fx t(u uh)fi1x x:1tty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provi()th iuu:x7 xfu1hfx 1ded by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the diame,re i*)v/xeuf5 s-eni ter of tube B. If water /f-euvi n5r iee,s*)x rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N(-g z,qd;6rwf qtdz,y/m. How high will water rise in a capillary tube of diameter 1.r-d ; (wzzqgq6f t,d,y2 mm?

  232

  To what height would water at 0 degree Ce.yk bsc /u;hy bwtay, 7mz.p59lsius rise in a glass capillary tube with a diameteby 7.h9.sy / ,wmcba put5;kyzr of
0.50 mm?

  A narrow tube is placed vertically in 15wj,gjq3ohn bx5 4pya 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 va3 j1phwb jxqn5, y54oglue 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 m2b ikj 0)9jydy with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force does the soap film exert on the 0.600 m syi 0j) 9jb2ykdide?

  An adjustable rectangular / s 5* :)xhe(9nugqzgvrro3llframe has length 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 0.026 N/m. How much work is required to move the adjustable long side so t5lhg:re /q9vz s )lx or*3gn(uhat the frame is 12 cm square?