The three common phau5hl c;(p cfy.m+m l3rses of matter are

  Density is

  Substance A has a den/qtcod(k r- i2sity 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 pwi;1r t4rn ps a; irol4z)-;bjressure?

  Consider three drinking glasses. All th:vr6yr w(rhw0+ 9akgi ree 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 liquid pres:grrw+aw kr06(v9 yi hsure at the bottom?

  What is the difference between the pressures inside a- hs amku k28l:u .t2o25hvlqfnd outside a tire called?

  When atmospheric pressure 0:xsvh*vutx 31f/,*2nj1 mzw snm j)llqxc/nchanges, what happens to the absolute pressure at the bottom of a z:vxq*nwnj ) s1xuh2f0c3v tl/s1njx */mml,pool?

  You are originally 1.0 m beneath the surface of a pool. If you divmiu)h d5;v x*ne to 2.0 m beneath the surface, 5dhmx*i;)uvn what happens to the absolute pressure on you?

State Pascal's principu7j/fe,692 oz pjoslb le.

State Archimedes' principle./-d4p tf-puvj- scf a0

  $50 \; cm^{3}$ 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 wa;yxe5p j ys9c 0zs8nl/8z3 hndter of constant density, what happens to the buoyant force on /0lyy;j he8zsn95c83pnszdx it?

  Salt water has greater density than fresh water. A boat floats in 931b2 mxbm qicboth fresh water and in salt water. Where is the buoyant fox2m 9bq13c bimrce greater on the boat?

  Salt water is more dense thagp, sl;.ylsrb n26 s-cvhb q0*n fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of wat6p2sss- lg *,c.ybhl ; qvrbn0er displaced in the salt water is

  A steel ball sinks in water v 4cozt3,5fo qbut floats in a pool of mercury. Where is the buoyant focozqvtf 3,54orce on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, riber3 d9rif/ +mght next to a 10-kg piece of lead. W3r+rbd f9/ei mhich has the greater buoyant force on it?

  A piece of iron rests on top ofy4; lj;+9t svw 2ec/amqapd)x a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the se2 m dptxaq+y /lv;;w4)aj9cwater level in the tub?

  A piece of wood is floating in a bathtu nk d4(po8oq/zb. 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,/ o(opq8k4 zdn what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is lasd-s28 gq y kks+ex* toqh7w;*kac s./rger than ako k7ys*dqcs k/wa-esgq2 ts*.+hx ;8 t point A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe a sc;dgx( ;u3ykovf;( widens to twice its original radius, what is the flow speed in thek;3gd ;u;x ovac((yfs wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows xc1 s8d4ur+f fto half its original radius, wus4+ 1cdfrf8xhat is the flow speed in the narrower section?

State Bernoulli's principle.6 rhwcu:e:5nui 2.usg

  Which one of the followin,d6fsga f/(j vglq .jio6p;n*g is associated with the law of conservation of energy in fluids? (/i.j6pdn jfl6 a ;qsf*vgog,

  As the speed of a moving flly:rla 5u mql,hdne6kp)0u;5uid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at poini .wwk0uk z;s*6 :kmq8j4mir,+hu ysweayg* *t B is larger than at point A. j8 *,wka0 y4rh mu i6+z*si mgwekyq.ku*:; swWhere is the water pressure greatest?

  When you blow some air above a paper strip, thves)x l:3/s4it:q wl fe paper rises. This is because

  A sky diver falls through the air a g pdp -+oor*dctxwb: *an; t3fqsq./3t terminal velocity. The force of air resistaqs;r*b*twg:3ax /foq t-dnc op+dp. 3nce on him is

  Two Styrofoam balls, of radii R*flozd( ga2x.su8/q h and 2R, are released simultaneously from a tall tower. Which will * us./xhl q8a(2fz godreach the ground first?

  When a small spherical rock of radius r falls through water6k zyj/huz,(o3 i)bar, it experiences a drag forh3y u aoj/zr( )bk,6zice $F=arv$, 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 efhi3a3jmaw8e e 9 e ; 6rtrhxj),nhcg53fect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in 8e3j6 i;ra5xgjr3wenm3 ce9ah h)t, h each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same lenga1kgt6x:u. id cjx6h 3th, 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 flowj 6ga63.txd1hiu c kx: rate in pipe B?

  Two horizontal pipes havega8t,llsai 2* the same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressur 8agt sl,*li2ae 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 "gred xr4t.kze) 5uasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To t re)u5. k4zxdus "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water nt+,zy ay8u m*rises to a height h. If the diameter were half as great, how high would tnmt8 +uy,*zyahe water rise?

  Certain insects, such a9s;mri-zcp c ,i*e1dps 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 *pc i-cs; z,1redi9mpis 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 sufficientrq; f+pr7m,b gly 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 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 max7;q r,pbrmg+f imum 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 3 m lwsi-;yi(s40.0 g. What isimws4 -l i(y;s its density?

  A liquid has a speci/1,)d n-zcwa.88i tdwlfsdtj tq/d/ vfic 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. What kk8:3 ipm1zzk is the maximum pressure it can exert on a horizont3 :pk8mz1 ikkzal surface?

  A person weighing 900 N is standing on snowshoes. Eacvt.pjk7re-wblmm ae ,69mb ;9h snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolutezk:(56qa.,nkr lfp*tap9c0 easg2 do) must a submarine withstand at a depth of 120.0 m in the oc9pnr.ck:e5l t* 6g2aapdsk0zqa,( foean?

  A circular window of 30 cm diameter in a submarine can w g+du kd nk-rq765cbk2 o9ytg/4meq f*ithstand a maximum force o +/ k7 d*ndgyqm9fk o6g-54b t2qkucerf $5.20 \times 10^{5} \; N$. 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 i6wyg 0m h4(s*w.ajbqfs 300 kPa?

  What is the gauge pressure at a location 15.0 m 8d6 d:all hmrk6r5vz :below the surface of sea? (The density of s: m686k5la rzdd :vlhreawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 ghs: v)r(rb1cjv)z+ cm below the surface of sea? (The d(s1vcz c )hvj)+rbg:r ensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic mab 8u y5k.. xi2aw6,vgw:xzcj(zp:y tmchine. The small piston hamcj viu :5pwt2.x.ga yz6(z8w, kbyx: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 pist u17vhx5zz 1se) z,mxzon 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 lif1mzz7uxx 5hz z v1es),t a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifteds fj y/;;ei) 0zan3uzv by a 25 cm diameter hydraulic piston. What force needs to be appliedyi0n ;/;f vze3zju) as to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a ak bir-m/(;h 0j t9sxyiu )xw:diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The l(r/0xx;: h9 a)kjbsituiwy -m ift 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. What is t0i 8+x e lj;cfjqp.zz f6lp -e,+ug0ighe buoyant force of the wat jz0fxf l- p gcq,+i.e8li0 6gjzu+ep;er?

  An object has a volume o/ :9fsw+tf :isui b4mff $4.0 \; m^{3}$ 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 i )oh g16c21hbpf,v thsubmerged in water. What is the tension in the stringhbf2 ,t vcp hog6)h1i1? (The specific gravity of iron is 7.86.)

  If the density of goe6 e;mok)bl fpx,p)d9ld 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 (densigwa53ih1)bmr2rq 8 xrty = $7.8 \times 10^3 \; kg/m^{3}$) 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;n 4 c 2 hzs*w:geuokad3ad5,z.86 N when it is immersed in water. What is the specific gravity of the objcwago,z; :k4aze us3 d5dh2n*ect?

  A container of water is placed on a scale, and the2 lsg1(xfddf;ljqh( + scale reads 120 g. Now a 20-g piece of copper (specific gg2fls+ f(l jd xq1h(;dravity = 8.9) 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 with a mass of 1.0 kg and d*q5iwz t i okab9o0sc0s h24d4ensity 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 cv,c f*m,4cm; baqk; fbjeg:9 im and diameter 2.0 cm will just barely float in water. Wha vfc 4e*ic;mk gjqm,,:f9bb;at is its mass?

  A rectangular box of negligible mass meas 4( hme5a(6yv:3zs/gaamaxg-kyb:c o ures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before6mvg(ayo: - mxa4z(ake gcbs 35ha/ y: 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 volumwljc 6ov t9kf5n+e1 y5e beneath the surface of the water. The weight of the displaced water is 2000 N. What is the wly9 tjv5+won6fk1ec5 eight of the object?

  A solid object floatsem 1ojp afgd m;+l1e6z(y d/od- )szz- in water with three-fourths of its volume beneath the surface. What is thezm eafg1sed-()6mpoy+- / jzd d;lzo1 object's density?

  A 200-N object floats with three-fourths of its volume beneath theb,y;nu) twk-i5rnb -v surface of the water. What is the buoyant fo u-bny5 )kr-vin;bt w,rce on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 1ix46 ,lp (x9do -8jqpjzhyoi cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03?j- pxxihdj( y64ilq, o 19op8z 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 flf s -ewy 85e6st0kht;pow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.01sgwwagz;(bnuclhk:2 e 2)s6 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this res kgc)ge uh61s(w2 ;b :swnz2latriction?

  Water flows at 12 m/s in a horizontal pipe with a press7m mqb9xsa97oe xz5v2 ure 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 drinking foun:b1d;(voe2dceii sx3 tain with 300xied3;1 i:evd2 ocs( b kPa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a wu 5j1 1 k7g7gfuga;mzyater storage tank that holds water at a depth of 15 m. At what rate w gy7zgm1 u ;kf7ug15jaill water flow out of the hole?

  Water flows through ioqs .m3h- bbyk5*y4scomn9, a horizontal pipe of cross-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 long would it+ wpmdmfe nwvs( o; *p;pa+(e8 take to pour 4.0 L of oil through a funnel with a neck 15 cm lon(pnov+ea w+d fpswm8 e(;*;pmg 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 the wall of an az52id 9d(buz3kqf9-tk l cvu3,wr)vxrtery decreased the radius by 10%. By how much would the pressure provided by the heart hav 2uc3z zvi9( )udqwld-xv 5f3bkrt9 ,ke to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twif5dkf*vg(x )kn 25x cjce the diameter of tube B. If water rises 24 xk(fxnj vc2*df g5k5) 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 risg;a+ sz a+8rakdv *kv*e in a capillary tvr*a +a;dksa8+g z *vkube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius r3w efxlqw9bp o,l/ 6j 4p9whx-ise in a glass capillary tube with a diameter of46p9o 9hp xwww, bl3ef-lqx /j
0.50 mm?

  A narrow tube is placed vertically qvo-arqd;; jb 9-4a gnin 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 addition o b-oqgvn jdaqa; -4r9;f 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 0.67 ,gfkr1iu3po 00 m with a soap film formed within iuf7ro, k1pi g3ts 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 side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and is 8s wf ,kx/mpgems *:x: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 that the frame is 12 cm squargp :ssfk xwxmm :e8*,/e?