The three common phases gbeo0bi2r5/ z b nb*b9of matter are

  Density is

  Substance A has a density of 4,d htm8ixb*z;,fon05rc .d:ljtd gu$3.0 \; g/cm^{3}$ 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 +n ig97kze,tcn* hy6pg++0jq .uefta of pressure?

  Consider three drinking glasses. All three - v ecbrt a7tk:c;718dm8qsqghave 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 theg7a7 ;qb:-e cqrmtct8 8kvs1d 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 outside a tireot su0;t:*i*2s dpq re called?

  When atmospheric pressure changes, what happens to t6pqj 6fwe.nwl/0/y ebhe absolute pressure at the botwq/f 6 6.0pe /ynweljbtom of a pool?

  You are originally 1.0 m beneathw2 : urxtgeeseg:0w8 6 the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pres 8er ugw2tw0gxe6 :e:ssure on you?

State Pascal's principllezzdt+ ,/s ;pe.

State Archimedes' prih *if(v,wtw:c d 9yywrso/a50nciple.

  $50 \; cm^{3}$ 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 watjv2+ss1yyv1 7zdt(qher of constant density, what happens to the buoyass(qj72h1 vvdy tz1 y+nt force on it?

  Salt water has greater density than fresh water. A boat floats in both fresh 2)f)cocb f6q5mi a r-.wbz. xnwater and in .mzfxiaboc)b5 26 q-cr. nw)fsalt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than frxd aw(qh fp/i ,q2n1,lesh water. A ship floats in both fresh water and salt water. Compared to the fiw,/l d(p q1 n,2xafhqresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats v(qh1s do0;k(h,t sczin a pool of mercury. Where is the buoyant force on the bsodvc1h qs;kz t(h,0(all greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kgs fcethwu; je;78b).c piece oefc tj)b uw;s.7c; e8hf lead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of woodlg8 e0u apwqx2-4p+ wb floating in a bathtub. If the iron is removed from the wood, what happe2g0bla84w u +xpw-pqens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood 1l *aavkr9 by)sits on top of the first piece, and does not touch the water. If the top piece is taken off and placed a*b a 9l)r1kyvin the water, what happens to the water level in the tub?

  Water flows through ak*f;gr -1y yciudoq-. pipe. The diameter of the pipe at point B is larger than at point A. Where is tf.cgq-yu-dkir o;*1y he speed of the water greater?

  An ideal fluid flows at 1rl/8aa uwb fww)w+or-98flz 2c3x r4v2 m/s in a horizontal pipe. If the pipe widens to twice its original radif-o rw lwzx3ua94c8aw2rf) b8 w+vrl/us, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrowsjt)w0hllr( lnj ko x:6u:)e*y to half l jn*exr 0:)6okjt: ) wlhyl(uits original radius, what is the flow speed in the narrower section?

State Bernoulli's princi,y)4/j6b3cbjsv h 6g z5 cpnjnple.

  Which one of the following is associated with the law of conservation 0 s(pv8oxhb4c;zzb 8do6o:m .i3 ckkjof energy in foxdmjc3 okz64( p vh: b0k88bozis.;cluids?

  As the speed of a moving fluid increase+kn::frstidrdtuj*p p 8. h08s, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger thansy30a eifoxc+5d (:h5t2f h yq at point A. Where is the water pressure gree+hy (2fd5 xistoh qfc53 ay:0atest?

  When you blow some air above a paper strip, the paper rises. This is becausesq3ko, o u,9bkh53f kicbq:8i

  A sky diver falls through the air at terminal velo *qdx n/civ*x xbh:s0:city. The force of air resistance on h:dn:*0h /siq *xc bvxxim is

  Two Styrofoam balls, of radii R and 2R, are release:q80ntb fsgk+ do/- zid simultaneously from a tall tower.:+tonqs80g k z-fbd/i Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it exjo;(hq;7-ift qb6 8 jbgteyu+ periences a drag fjy+q;6bb qg f7e;oit8h -tuj(orce $F=arv$, 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 effelf1 2+ *72vdb sz adwq5mn2mryct on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause t2nl w1 *qsmr+y fz2d2am5v7dbhe greatest change in the flow rate?

  Two horizontal pipes a-5o1 b h-lsgy zd4hckcn0w3:ore the same 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 0 ho:zclbyn4-d h5sgck3 ow1-flow rate in pipe B?

  Two horizontal pipes have t9jg)0sbi (akthe 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 lengb ()sj0 agit9kths 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 o- e8x )bevg*qxften tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over t) ex eqb*vxg8-he 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 p v9hda 0.n.ur8v-fi nd,v3canlaced in water, the water rises to a height h. If the d r3n.v9 av0u-h.n,dva d inf8ciameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lighth yg+f4rb(ky a9 40zr- dgc;gb7na(izweight 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 twice as l+g97db yyb;hn4 r -(gz40(iazcfka rgong, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as t ob tc5plki09i(wr4u1he water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tensi( i 0t9buip45 oclr1wkon. 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 maximum upward force on the feet of bug B?

  A plastic block of dimensions pllp3 ,f)a -bv2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. )lpvla -3fb ,pWhat is its density?

  A liquid has a specific gravity of 0.357. What is its vypvg n *hi-s82c4r5y c6,b 58vevbaudensity?

  A brick weighs 50.0 N, and measures 30.0 cm x 1)7b)hwv rc1u x0.0 cm x 4.00 cm. What is the maximr7whb)u1x ) vcum pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has ar7uq lddp )jn5.ea $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute)vxid vh,sd1 210e:g 3 tudivl1 must a submarine withstand at a depth of 120.0 m in the1x0iv:,d di det 13gshlvu12 v ocean?

  A circular window of 30 cm diameter in a submarine 0yf-x (pk -ozqcan withstand a maximum forcekoqx -ypf0z -( 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 press sc246j7a6l p5jmm hxwure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a-x )2n oage):5 qz/ub zqkvnv2 location 15.0 m below the surface of sea? (The density o)exnv uga)zz v-2oqqnk :/2b5f seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute p lrhe9p xls.4.b9p-cnressure at a location 15.0 m below the surface of sea? (The debpp.-n .9lr cel s9x4hnsity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston o yd /pv1ill5f,f a hydraulic machine. The small piston hlyl fp1d5/i,vas 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 pis;a(.//eri kyuahro okqj 0 087uoa1 zfton has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must br1o/oua8k/aqoza7k( uh j00 ei;rf.ye 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 c p 2+ehy 0to1,shgamk*m diameter hydraulic piston. What force needs to be akh,msh0py+e21 * gto applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cmz*xz 7:hhcy urx3*0ggk ,d j;w, and its large piston has a diam r*7 zu3 *wzy,gxhgkc:dxh0j;eter 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 in water. What ii/c5yub ciu 64s the buoyant force of the water?4c/yu i 56ibcu

  An object has a volum/zq mm0 udxf *ufp3sf/.0p9s le 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 whro*z) e m/ 4 9hgf)bq12( sq/zpvxrgejile submerged in water. What is the tension in the string? (The specific gravbfje)zhr x9mggv/ s/4eop()* q1zq 2rity of iron is 7.86.)

  If the density of gold is:q3d izei)glrco 82.p $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (densi/f/iwx jjhke) 9,p 7ulpv / kh3v61duuty = $7.8 \times 10^3 \; kg/m^{3}$) 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 bb 8tjk wvlc* sr4(0v.tiqa */N when it is in air and 6.86 N when it is immersed in water. What is the specific gravity osi j0btc(q k*rtv4*av .w8b /lf the object?

  A container of water is placed on a scale, and the scale reads 120 g. No+ kz8ukv5 6 d0ayyeq6aw a 20-g piece of copper (specific gravity = 8.9) is suspended from a thr5+a kzdqvuk6y8ey6 a0ead 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 denc6pej,p rcn- bsz,6zl3n3 t9bsity 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-:pwyn r ppd ;p)dc1yt:1qql2 just barely float in water;wy)pndl:qtypc1:-pd2 p 1q r . What is its mass?

  A rectangular box of negligible mass measures 5.0 m cjo.fts 0d3z3at1+x elong, 1.0 m wide, and 0.50 m high. How many kilocj30 d+e1t.fz3 aosx tgrams 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 thegi,oz:.) 0ywztirj9:,v ddr ax0ycb7 surface of the water. The weight of the displaced water is 2000 N. Wxyyi:zo)g:, 9zvwt dd0,brcira. 0 7 jhat is the weight of the object?

  A solid object floats in water with three-fourths of its xvg4nujj5 u0w jr.,(ovolume beneath the surface. Wh0on x4 jujgrv,5w(ju.at is the object's density?

  A 200-N object floats with three-fo65 1jslv:a ;s1g fvmyeurths of its volume beneath the surface of the water. What is the buoyant f gy1vml:;es 65s1 jvaforce on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is t9ae;op2 egqw+mj a5 )she minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of 9om2psa +q jag)5;eew ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. 5eol41 esu,dw Find the flow rate.

  Liquid flows through a 4.0 cm diamete:ei7d9up) nns qm4i3 1elk c(cr pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. 9i 4 lesmc1ek:c7pq )i 3(dnnu What is the velocity in this restriction?

  Water flows at 12 m/s in a horizont-anw36v**,ov ixyy ipymgn, 8al 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 take for a i1,uq3pv*vl8b*6,f q9 qw +boc spudi pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m a cv+u8b bqqpiiq lws,6* *d3pv9 f,uo1bove the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tanhbgg*qhgyu ,5w qaqos) .6(, uk that holds water at a depth of 15 m. At what rate will water flow out of the holeq*,,yu)5s o 6a(uqb.gqhgwgh ?

  Water flows through a hpdg9jp3s, 4 rhorizontal 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 so/tsrt.) jx 40.20 Pa-s. How long 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 the neck, and neglect any drag es xj.o4trst)/ ffects due to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an artery decreasedv:bw fq8u,i7+xefkdo 9zq9+ o the radius by 10%. By how much would the pressure provided by the heart have to be increased to mainta87:+ i9ff ok9zb, euw+dqqv oxin a constant blood flow?

  Two narrow tubes are placed igc l5r: j.muc 7l,w8ian a pan of water. Tube A has twice the diameter of tube B. If water rises 24 crul7l ji.aw5 ,:8mccgm 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 rise in a ca1a;qkb + nshnfj/rt0*h.q8bu pfd b62pillp;u /0jk16.bbf bn8qr*ah ns2fqh dt+ary tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsi* x x-rq34 jxexu(9 .j1/nxe m2dhldrlus rise in a glass capillary tube with a diamn 1e*.(dl-/rx 23xmu r jej9 q4xhxdxleter of
0.50 mm?

  A narrow tube is placed vertp/0j80i c:-hxoxchqg8 pps3 gically 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. Wpcgx0:p8ophhs 3/0jx8q ci- g hat happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a soax,l61nwgr(jk 9.t n+ t4v1ml,5prlxalc -fup p film formed within its confined area. If the surface tension of soapy water is 0.026,lvg1.l1kjmat( rx ,65n fpx9-p+twru4 l nlc0 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular fram.+m;uajyr tt 8p)a;pme has length 12 cm and width 5 cm, and is built in such a way that one of the longer sides canpr;tu pjma8);tm ay+ . 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 square?