The three common phases of matter arbipcy)eug,9rj+u ,-ue

  Density is

  Substance A has a density ofroue1:y/ 5 oboc*g ;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 ik:yplr6,+6 -dnjq0 6phiyep of pressure?

  Consider three drinking glasses. All 9;r 0nmwnjfdjd v478 bthree 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; bdm4fn9v jrd87jwn 0 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 between the pressures inside and outusga 0ulewno fg*fv 7x):al 6t95s)oti,:)lkside a tire called?

  When atmospheric pressure changes, what happens to the absolut01 otrvw4z3 zi4 p; rcop7z-gfgl.fw9 e pressure at the borp l ;g34f f rtov10 4pzg.w9cizwzo7-ttom of a pool?

  You are originally 1.0 m beneath the surface of a pool. Iqe9 -1unom1iky o uk99( pe.toaci j)ah*l4w ;f you dive to 2.0 m beneath the surface, what happens to the absolute preseoat 9 yijp 1(c qkekl49.1onmwou;u *h)-i a9sure on you?

State Pascal's principlehm qv 0kit+v7 *7p52vnwz1ybs.

State Archimedes' principwhqyk6-vn(, ile.

  $50 \; cm^{3}$ 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 constant density, what happenxvh 8tf;gg.c)t.p4q ns to the buoyant force 8x.th.pgq4) fnt;cv gon it?

  Salt water has greater jwy wx0)q+- ql3mhev*density than fresh water. A boat floats in both fresh water and in salt w3)hxly+mvjwe0 -qw * qater. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floatszr5c 5oa i/ 6 gandk;*liw:ce0 in both fresh water and salt water. Compared to the fresh water, the volume of water displace c5g *aeici :zdonk5;a wrl/06d in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where is the bu wcnjn)9mh a/uj s1g-y63kuv 6oyant force on the bs9)6-u/h1 m3aj g6knjvnc yuwall greater?

  A 10-kg piece of alum)e ncr *642s 4urqfmzpinum sits at the bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant force on it?4*2um4n p s frcqr)ez6

  A piece of iron rests on 23vll9wau 6umj3dk.ptop of a piece of wood floating in a bathtub. If the iron is r3pj u ul 9k6vwd32.mlaemoved from the wood, what happens to the water level in the tub?

  A piece of wood is floating in ao ;bgm6:mlptp juqe,mm r9 5*, 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 happenm,qeb6 5mmgp;, jmp r*l:tu o9s to the water level in the tub?

  Water flows through a pipe. The diameter of the pg: lsvy ;xt. 3 yhriw3ctbs*88fwv79 aipe at point B is larger than a;8 t3yw9 lag w*c7fi3vtsx:yvhbs 8 .rt point A. Where is the speed of the water greater?

  An ideal fluid flows at 5mvqhj f+d12r -a-, l1zusnrc12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow hcmdl2q5jzs1 a+- nu1vf-,r rspeed in the wider section?

  An ideal fluid flows at 12 m/s in a horrg0ci/r)m,zzoa j7bx;x bnoo85zv * );ou-cuizontal pipe. If the pipe narrows to half its orignu ;o*0a5xji7/zrmo bor ,uzbv-cc 8));xzo ginal radius, what is the flow speed in the narrower section?

State Bernoulli's prisxe1y3b( . wcunciple.

  Which one of the following is associated with the lj poy f:8 i:/7nt)jqkxaw of conservation of energy in fluid /ot x8pni) jy:kjq:7fs?

  As the speed of a moving fluid increases, the pressure in the zqw;m* fe5t 66hzg8zqfluid

  Water flows through a pipe. The diameter of/v vikvma 5hj.))xt yq*98yhs the pipe at point B is larger than at point A. Wq .vy9i/mt5)vhjx*ay) vsk8h here is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is bece an83 3tkboe/ 4evke8ause

  A sky diver falls through thecc sad6ww57(x air at terminal velocity. The force of air resistance on himw7d5ca sc(6 xw is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a ta.p v2f/9mre(pn8blr aw)yzak *9 hbr4ll tower. Which will reach the v anrb9ef(rm*w a8)yl k2php.z4/9 rbground first?

  When a small spherical rock of radius r falls through water, i+r j et2p,/;ckj kqt5gu(fd ;gt experiences a dra;q;u+ j5gkpjft2,e(k/t dcg rg 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 fzr3v i7yt ea1a)0(tdy luid through a narrow pipe? That is, if you made a 10% change in each of diz)v (7y 3yr0a1tteathe quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameter yu*sgmb wvr7/cet4: . e/ g*8gg:r oolof pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipeysm /lr c84.:tow ggbo:gee*g/v* r 7us. If the flow rate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as long a6tq v-,zmjsvap zqe n8f5 7l;8s pipe A. Water undergoes viscous fl vq s-jm;7z e8a,5znfl8qvt6p ow 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 "greyp ossh q5nh-b:y39f4nx y /c;0g3xjnasy" taste seems to be associated with oil sy h: g3fsxnyq 59oj4n b0h/3c ypsxn;-preading 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 5c0stwxr1hc+ t-, 7yapm5aph(w,kbe in water, the water rises to a height h. If the diameter were half as gr,r+mhcw7 t,t0k(w a5-h e5y papbcsx1eat, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightwei0fmpj)b2/ nvw; lx7. *-vc+zg srdyinght 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 2d+*srvwx z/)p-l ji0nn7fbc. ;mvgytwice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are suxpopzm4;xriuj ( x+23 fficiently 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 maximjoix +;23p r(4xx umzpum 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 hoitk a+2djm-a*w 5t:l.sttqna7 ;(cf as a mass of 30.0 g. What is.t-ta sflcdt;iw5ak+jqoa t7 * 2:m (n its density?

  A liquid has a specif pa,40 pnktmn*s(0o htic gravity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 c7mkfs 88z2: rah- 9zgvu3 zvqgm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal surf zarz9 kmf3q vsvh:gz8-872ugace?

  A person weighing 900 N is standing on snowshoes. tj4wy: ))/uyorf+y yz Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine /hjj rsgcm1 e:7tx.gl8w4 v*qgai3:xwithstand at a depth of 120.0 m in the qhig43*m wcal v/j :t.x7x:ge j g81srocean?

  A circular window of 30 cm diameter in(ek/+ic. c1puksgctor12gln nlf km7vc: ;+, a submarine can withstand a maximum force g ;ckkusc c +m7ne(pclo:f1n,r+2i /v g1klt.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 absolute pressure is :n z++jq-mx7 (c wix18jdtinf 300 kPa?

  What is the gauge pressure at a location 15.0thnbq sd + jc5 vsfrh1s-1p.2) m below the surface of sea? (The density of seawathp)c 2vh+dn1tbr sf-15 s j.qser is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surfa dqlm70pvxev9: 61 qxyce of sea? (The l 9q7d 1 mxvexqvy0:p6density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on t4k7v5sf1 zsdche small piston of a hydraulic machine. The small pistos1 k54d 7szvfcn has 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 ruf ntg7)fa* k7adius 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 weighif7ga*u7ft)kn ng 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diamevc in eb0(ou/te) 87qgter hydraulic piston. What force needs to be tuenvq(i 0ge8)/b 7ocapplied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift95 )(jgln8d.qsl:w 9t5 vq sz7gjy src has a diameter of 8.0 cm, and its large piston has a diame8s g cdnlq9 wq.7(z)ts 59:rjjvgy5slter 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 weighs 40 N in air and 30 N ikqblw6o9i99cvj;r ) cn water. What is the buoyant force of the watew6b)9 rq;vl ic9c9koj r?

  An object has a volume t fp(h4rss lm48/av7se 2y*s iof $4.0 \; m^{3}$ 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 while9kh -evus/z+ pjul1-gp y5p w/ submerged in water. What is the tension in the strs5 /ewyzgk- h u/v pj-pupl1+9ing? (The specific gravity of iron is 7.86.)

  If the density of gold is7/ h7oh9 /s.sasjekxo $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine ogx um :57n*xseady2* (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 Naa/xe 1t f d3vlq0t(d- when it is in air and 6.86 N when it is immersed in water. Wa/ 1xdqtf lve(0 a3d-that is the specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. N/hv h.gtc5wjz57bx(3.eh l ysow a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowerhy.7jb x.h5 ehz5lgv 3scwt/ (ed into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1e,gtrbw05en-o sd . 7g.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 lengtc4 mnua6;l:gah 12 cm and diameter 2.0 cm will just barely float in water. g;a ual: n4cm6What is its mass?

  A rectangular box of negligible mass measures 5. 4t nhyru:w7t90 m long, 1.0 m wide, and 0.50 m high. rtuy nwht9 :74How 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 beneathrxh:1f 3hb7prm mr3)w/0 x4crk jeo,b the surface of the water. The weight of the displaced wate 3 k3e7 /)r, wrhrph:frjmo4mbc0b1x xr is 2000 N. What is the weight of the object?

  A solid object floats in wateryc umyvsi-0xi * d:tg k3l.yb1x+bb81 with three-fourths of its volume beneath the surfacek1y biy d1 cib0v.:sbg+u8x x *t3lmy-. What is the object's density?

  A 200-N object floats with three-fourths of its volume beneath the surm;qo ow7e:ftg :4rmp:x+f*h bno 3z1rface of the water. What is the buoy1to: q3w;bmmg on:fhrer of47 +*zpx:ant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. xguhex5ln36-e hik9 ; What is the minimum area5i-;kn69xgeeuh3lx h of the 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 pipesbz/icnbj 3oa s5( 4w+ of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe av 6lc (rb9ls a2;pym6ht 1.0 m/s. There is a 2.0 cm diameter restriction in the line. pcs 2h; 9ll66mvay r(b What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal p lds5-6cve/r8pq5k,)p4xyb ymf5y0 gd( eur s ipe 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 do:7;yn+ekegt qg) fek 2vwcj7n5t s :b+es it take for a pump to supply a drinking fountain with 300 kPa, if the fountain i ecs57+keg+q n tkvye:;:2 j)wtg7b fns 30.0 m above the pump?

  A hole of radius 1.0 m g u. okby8o0(r5efzp:m occurs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will watere. 08bu5fg :zoko(yp r flow out of the hole?

  Water flows through a horizontal pipe of cross-sectionq63vq* otg;j oal 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 loj 4+u ero0nt3k jzsr,29m (zxc8awn3 ntnwf/0ng would 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 mxta ruw3nj,c r3znjo40 fs9n02kz wn/(+ t8ethe 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 artery 5l; l c3j rxdxc9vj:/cdecreased the radius by 10%. By how rj x/3cjlc59 dcx:vl ;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 water. Tube A has twice the diameter of)inxoksb:46- rj. z iu tube B. If water rises 24 c- jbi4n)ixk 6r o:u.zsm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high ws3ta-y,d 7giv ill water rise in a capillary dv 73iays,-gttube of diameter 1.2 mm?

  232

  To what height would water,erv w/1 t7zyz at 0 degree Celsius rise in a glass capillary tube with arz7we,/1t zv y diameter of
0.50 mm?

  A narrow tube is placed vero c)pojqnun;w t4m1;8tically 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 addition of some soap. What ha1uqpoo4; mct;)nwn j8 ppens to the height of the liquid column in the tube?

  Consider a rectangular frame of le q-yis 3ps bi7ke :hx,zt9i66.vg)e hxngth 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 dox 9 i3 ,tix6 z7ves qphg:6ishk).yb-ees the soap film exert on the 0.600 m side?

  An adjustable rectangular fra2b1upnz ; u0t*i2o ffyme 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 f2i1boz pnu0u2*t f; yin 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?