The three common phases of mathiz1md 63de,2 0ivhulter are

  Density is

  Substance A has a densitfq qin: 3:+mvdv7lzs-5) coity 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 pressur+ k7oi1eoim3: i7 qicpez;y)me?

  Consider three drinking glasses. All three have the same area bas mo8a.z)cn6iaxj( x/y e, 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 nzax6/om) jy8.(ixcathe greatest liquid pressure at the bottom?

  What is the difference between the px 1 3n wzh 0gb0t+ejx)pg2v/cqressures inside and outside a tire called?

  When atmospheric pressure changes, whatlq zz+xgq 8am)qcjgc(9k,ta 59(bp 1x1t)ffe happens to the absolute pressure at the bot f eq(q9xk)8cx+qazl,a9p(jfcz g5m1)t 1g tbtom of a pool?

  You are originally 1.0 m benea r21r1meg c z g(p3irgq-,+qeqth the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the2cgrm+e i-zq1p,r1q(egg rq3 absolute pressure on you?

State Pascal's principekd m2yx:r8 v5le.

State Archimedes' princi+dx :)7bvimx+neruiwd j 0*sa i,8t:o ple.

  $50 \; cm^{3}$ 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 og 421:bb.mpwg sj0,e id;tmztf constant density, what happens to the buoyant forc,1jm b .mebg4pi:;tz st0gd2we on it?

  Salt water has greater density than fresh water. A boat floats in both frs j 5ez.u-h4dju1*f4bxp)vqhesh water and in salt water. Where is the buoyant force greater on the bus 5) -4d1jv .ezquhh4 xfj*pboat?

  Salt water is more dense than fresh,zk0gq k 41kiu water. A ship floats in both fresh water and salt water. Compared to the fresh0 kq4u gk1k,zi water, the volume of water displaced in the salt water is

  A steel ball sinks in water ))z hty.szqn1but floats in a pool of mercury. Where is the buoyant force h z .snqyt1))zon the ball greater?

  A 10-kg piece of aluks)i5r dc bh8/63 ejhqminum sits at the bottom of a lake, right next to a 10-kg piece of lead. Wbj5 d8h3sck er)h/q6i hich has the greater buoyant force on it?

  A piece of iron rests on top of a piece of woode(p.ser l3nhu,js1 , b floating in a bathtub. If the iron is removed from the wood, what happens to the water level3l, pe,unrhjs se (1.b in the tub?

  A piece of wood is floating in a bathtub. A secon3 tmzszjm; d5 bz 4(+wmxfi:4zd piece of wood sits on top of the z i5m;mt mwz+ xbzs3(fj:z44dfirst piece, and does not 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 pipe at point (ps+(exh 4bdpi)8 kgyxh+ i v.B is larger than at point A. Wherbdg ps(vx.ihk )xe+hi 4+yp8(e is the speed of the water greater?

  An ideal fluid flows atpgz3 u3j6-b qwox ai;*1 vx:u (ps*zee 12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider sec*6(:gzxb3xiq u-p 1aejz;u s*pv woe3tion?

  An ideal fluid flows at 12 m/s in a horizontal pipe. imbv zn79879n2kp vw wIf the pipe narrows to half its original radius, what is the flo n8vpz7kv7 99nwwbm2i w speed in the narrower section?

State Bernoulli's princips nq:lm j6; ( g xwt3tygy2b8a5vx.nj:le.

  Which one of the following is associated with the law of conservation ozr g(y h7rvmiv4 .*b7);jb nhw(yih0wf energy in fluidvzhynij4ywh 7m ;0 v( bi*hg).b (r7rws?

  As the speed of a moving fluid9gvy;b w3( skkr cvx,2 increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe 1 svwwyyv8e/tw 84k,,/wzfbt rf; +mbat point B is larger than at point A. Where is the water pressw mt+k,e8v1 w ,ry;f8w4vby /bwf zst/ure greatest?

  When you blow some a;0*p.w f3zfa zkaev 7hj)8rvt*sq-it ir above a paper strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of air resisoa(ed is(9 t.ny5e p 7.i7ku ugiloq)/tance onut. onii/ ) 77s leuy(p gdoaq95(.kie him is

  Two Styrofoam balls, of radii R and 2R, are released simultanax134qxrvapp e3yf ch-s35;. fxroyb ij(4+b eously from a tall tower. Which will reach the 3a5bp y4oc1p+xjhf;(3siaq.ef-r yb 3 4rxvx ground first?

  When a small spherical rock of radius r falls throu.s z nv:1j1ev5tydaz8gh water, it experiences a drd ejnzaz 511syv.v8 :tag 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 o5* t8s5w:dmxdtop r) kf fluid through a narrow pipe? That i5ps8rddom kt5) :* wtxs, if you made a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same le ji :rv)cr0zt.3j+rk yie(q u5ngth, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both p.5yji )jt(vkr3ir:r e0cz+quipes, 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 B?

  Two horizontal pipes have the same diamete jg)hd0n kr1/cr, 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 /hjk c0g nr)1dis the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "gexw 5j02io.,tr9hp vhreasy" taste seems to be associated with oil spreot. hp2vr i,w9x 0h5jeading 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, t g wjugx6,ou;/he water rises to a height h. If the diameter were half as great, how hig;/ w,gxog uj6uh would the water rise?

  Certain insects, such as the water bug, are suffici,j5vkskc gy3df2*mj0ently lightweight that they can run o0*5fj2cgj,v3dm kyk s n 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 long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweight thatn*cl 2q;x-gdo 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 maximum upward force on o;*qc 2d gnxl-the feet of bug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm has a map* +qa pj8cc9tss of 30.0 g. Whatt 89pacc+j* qp is its density?

  A liquid has a specifimak5 -nijn(phclz*j6 9e53 h ic 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 is the ma3 *r*bjwk gv(zximum pressure it can exert on a horizontal wgbjzr (* k*3vsurface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has a c+hf(/pjo en :pn2*k(e/eo*r ve-bq area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) zbv( w qng5*sf(ikr8- must a submarine withstand at a depth of 120.0 m in the o -8w((v*irgz qkb 5sfncean?

  A circular window of 30 cm diameter in a submarine3zbv*x3t .fw:f0ehpo can withstand a maximum force vh3:w*0p3eox.ft fb zof $5.20 \times 10^{5} \; N$. 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 300 h d syyt)317o+o. vbypgb :0bj 4ccbc-kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (T, ckh u/zbs5beg1 t(d26idfc /he den1bkc/ d5ushft2ie,6(dg /bzc sity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at1j6x/g y-u6(,aoy vj.1ntvq asoc y1 m a location 15.0 m below the surface of sea? (The density of seawater i y6./(o1-y 1a jmtqy,s1a6gjxuvvo cn s $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machweh3wi 2d 5.owine. The small pisto hi5w3 w2owd.en 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 radius of 5.0 cm(xa f)mq wp*.y and the large piston has a radius of 15 cm. What force must be applied on y *qp.wxam)(fthe 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 diameterin904kkr1dho o d.aea;jp-di,bb/ 6 s hydraulic piston. What force ne a6ibjkk./oo;srb-p0dd1nd 9, a4e hieds to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a hbb;o 7u81jll z9yo6 :mzqk q(diameter of 8.0 cm, and its large piston hl16uqkmbzo:7l;b9oy 8 ( jq zhas 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 weighs 40 N in air and 30 N in w,ti5tqbb66 a fater. What is the buoyant force of 6fb, 5ibqta 6tthe water?

  An object has a volu p87v l4i)xya 63fkghnme of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of soli hxixh + (e7x4u;lmnh*d iron is supported by a string while submerged in water. What is the ten7;mnie+x*4(xulxh hh sion in the string? (The specific gravity of iron is 7.86.)

  If the density of go4m/(4wbgcbt8 )e pq vyld 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 (dwmxzh-e w0 r ur(cfb(;kl458hensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 /8 8 f3cjuce7auv;kjd N when it is immersed in water. What is the specific gravic/ 8uj7da e8uv; 3fcjkty of the object?

  A container of water is placed on a scale, and the scale readsn;;s4ped x ux5 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread a npd ;e5xux;s4nd lowered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a masnl21k b 4aly5ye72 p3wrj qbd4c ;:gnhs of 1.0 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 length 12 cm9 b yvwcqr 4,+x.nf0yu and diameter 2.0 cm will just barely float in wv4c y.fq0+ ,n9r wbxyuater. What is its mass?

  A rectangular box of negligible mass me7u,e :n h*lslgasures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass l*s,gneh:lu 7can 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 benekd2z *jb wp*y1sam,w;ath the surface of the water. The weight of the dw*b2 * k,zjpmwd;1say isplaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volumem0(pp. 0- vyby :ff0lfyk-iep beneath the surface. What is the obj -p 00.( mpy: lebyf0viy-fkpfect's density?

  A 200-N object floats with tbn/;t t:hfa-0k frkdn2k48g ghree-fourths of its volume beneath the surface of the water. What is thnd ;/:bk-t2fgn4 khrktfa 0g 8e buoyant force on the object?

  A polar bear of mass 2 t7 0cfiu.ru8a00 kg stands on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of 0fu a7c. 8tuirice is 0.98.

  Liquid flows through a pipe of dz41 jw4nqq;i h)qek6wmbto +:iameter 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 is a 2.0zb/ k)i, (gmun cm diameter restriction in the line. W(b/ig n)ku,zm hat is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipy1k, qjlez 7ho29(lwue 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 pump to supply a drib): m0z90o6 nd; uqbstc yecf-nking fountain with 300 kPa, if the fountaio6 s)0ucdb; z fbmteq 0-:9cnyn is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in thse(b )pmq.b( 5b9x8 ;sbesane e bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow out of bqe ex5 8;.embns)psb( 9a(bsthe hole?

  Water flows through a horizontal pipe of cross-sectiod7x e(pilww9i68sbb)g 7 ua 8*bkw0nlnal 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 take todoi p87uhfo9rn/2o;k7 ,ggoc 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 abof/7p;hkodo 92o, 8 ngugi oc7rve 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 artery decreased them-chuurmi7+tm+ t *n, radius by 10%. By how much would the pressure provided by the heart hatrn*h+ c, uiu+-7mmmt ve to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twrgz g n3izzl4j-ui/fqd8tx.sm7 )70r ice the diameter of tube B. If water rises 24 cm in tube Autz .qz -7l3drn )7rgs8 04/gmfii zjx, how high will it rise in tube B?

  The surface tension of wafmpir)+ 6bfu2 ter is 0.073 N/m. How high will water rise in a capillary tu fipm6r2 bu)f+be of diameter 1.2 mm?

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  To what height would water at 0 degree Celsius rise in a glass wvn-a. w.9vyqyl (:ufcapillary tube with a diameter v q-.f:na9wy ylu .v(wof
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the w1bdhv4t4 ; fixater rises in the 1vifhx;4d t4 btube 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 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 6c 6,+c jfkh npycii(;soap film formed within its confined area. If th yj+,ficci cp6nk;( 6he 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 zdo m1(r(-z9 ysh2 beiand 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 -i o2(zrme9bzs1 hdy(N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?