The three common phases of marwhemm*+5 nr )tter are

  Density is

  Substance A has a densizweg/sy+ 9bx 7h4fu8i ty 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 uni q8-u- e e2m w0nsuqq)u +e3 9s6iiv1e(ruzxbkt of pressure?

  Consider three drinking glv2rw 272 d)h:x if 3+ :ejlzf3adhvmioasses. All three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is widf r+a:imlwd7 zh2j:ve 3d3v xh i2)2foer 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 pressure at the bottom?

  What is the difference between the pressures inside and outside a tire called?+,*g/tsqy*t t st6tok

  When atmospheric pressure changes, what happens to the absolute wzr+g ujx92oqt-2 7nx pressure at the bottom of a potgq2 +7j orx2 u9w-nxzol?

  You are originally 1.0 m d l;k opm)u +-n:bm)ijbeneath the surface of a pool. If you dive to 2.0 m beneath the sinpl jod;u: -bk+)mm) urface, what happens to the absolute pressure on you?

State Pascal's principezu* q4s zym64le.

State Archimedes' princijibm2yp4 l91g*e y83 mmgo e9iple.

  $50 \; cm^{3}$ 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 waterk00ghqy f3wp* of constant density, what happens to thk3h0gy w*0qf pe buoyant force on it?

  Salt water has greater density than fresh water. A boat floqvs)m/ r68 tjog n(3wiats in both fresh water and in salt water. Where is the buoyant force great rmv w86j oqni/g)ts3(er on the boat?

  Salt water is more dense than fresh water. A ship floats ins,3w mwon 5g1f both fresh water and salt water. Compared to the fresh ww3g1 n5f,omwsater, the volume of water displaced in the salt water is

  A steel ball sinks in water 5b) xiw7c 5loobut floats in a pool of mercury. Where is the buoyant force on tholxc iw5)75 boe ball greater?

  A 10-kg piece of aluminum sits at + oq(3z qs10fzhi6sw8nkw- rp the bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoya-p f0 q i+sn8zkwow( 63srqh1znt force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If the +-yhe ff* e hbsef/* s2xpt+zmt.f9t/iron is remo t ssxm*ffzf/+p.2/eeh-ybe t+9 hf*t ved from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bate umay.l/9wm7sjva ,; htub. 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 sy7, u al e/wjm;mav9.the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at 0vi: 9-hub)mc*pizf gz0+drx point B is larger than at point A. Where is the speed of theihifm )gpb 9vzd z*r:c0xu0-+ water greater?

  An ideal fluid flows at 12 m/s in a h74xwe 3e/a m4 4bwcdmuorizontal pipe. If the pipe widens to twice its original radius, wha/e7aw ed4mx3 cu4wmb4 t is the flow speed in the wider section?

  An ideal fluid flows at 12 mny .)tjq3px t1/s in a horizontal pipe. If the pipe narrows to half its original radius, what is the flow speed in the narroweqttn )y.31xjp r section?

State Bernoulli's princr cl0h.,8qlv5gh;efa h 0x:uiiple.

  Which one of the following is associatey1q kwui+/ ms6x 3qpc-d with the law of conservation of energy in/wqisyx1- +u mk36qp c fluids?

  As the speed of a movi )+ j.8byadhsxd90rzmng fluid increases, the pressure in the fluid

  Water flows through a pipe. The diamet 7d6gn:hbn ia 8w/m;pner of the pipe at point B is larger than at point A. Where is the water presphdnn8/ai;67:nwgb m sure greatest?

  When you blow some air above a paper strip, the4y ,f);(0w mu. f:sgzppfjq ma paper rises. This is because

  A sky diver falls through the air at terminal velocmcct u1xr) 0+nity. The force of air resistance +0u) tcmcxr 1non him is

  Two Styrofoam balls, of radii gpw2g1ye yxdse 25:l:R and 2R, are released simultaneously from a tall tower. Which :2deypg1 y gw:25xselwill reach the ground first?

  When a small spherical rock of radius r falls t,b ne5430 pay* ypxjcahrough water, it experiences a drag4pe yaxb,jp 5y*0ac3 n 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 ef0u ff29. i9odwp 5,f*xjggzjsfect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantitiuzfjdj.*o5p ,02 g9f wg isfx9es below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameq9(q 8 pnj6dumter of pipe A. Water undergoes viscous flow in both pipes,pnumq d6q 8j9( 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 diameter1ch5)hqbpa bzyl( i)1, 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 is the flow rate in pihbz)b1)(1plqh5 yi c ape A?

  When soup gets cold, it often tastesrw( y(gs u525 tf +ygvt.kx1jo greasy. This "greasy" taste seems to be associated with oil spreading out all ov s(kv5wj(y u.y +xt t1r5fog2ger 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, thqb axe b60a6c2wh l)3ge water rises to a height h. If the diameter were half as graq lgebxc 302 bw6h6)aeat, how high would the water rise?

  Certain insects, such as the water b9q3a2 qhd/+zbolz4uc5pv5 z ao, (k yeug, 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 dimensions. That is, bug B is twice h3y 2l(zuaqd oa/cepo559,z4z+k qv bas long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightw*zfvqa v2/ t f (f0cmft27)myleight 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 zq2 (ffmf0v/v*a)7ly2ttfmc 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 has 9u kzdn3pxm 0c3k2 ,faa mass of 30.0 g. What is its densin3,ku 9f2 zm03c pdkaxty?

  A liquid has a specific gravity of 0.357. What/esd ;rc yl(1 tjh 1ho9b3jik2 is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0v9cz8*5r4le vrmq 2 ipssz) ,z cm x 4.00 cm. What is the maximum pressure it vz ssm4rir )leq5*c, 9z82pvzcan exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each(jfp,ylz h1s:6w coz) snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstandb k4.ex6tfn u3 :s,ltd at a depth of 120.0 m in the ocean lu34bks:.tx dtn, e6f?

  A circular window of 30 cm diameterg hw 6ph)2x0lx in a submarine can withstand a maximum force o2 wx6) g0lphxhf $5.20 \times 10^{5} \; N$. 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 ktzlis klruvy */9 m2h*-i9tns2/ r0lcPa?

  What is the gauge pressure at a location 15.0 m below the surface o4gwmijkl/d 6 /f sea? (The density of seawater islgd/ m k/wj4i6 $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.jo5)l8k t7yrn ;lbdf00 m below the surface of sea? (The density of seawater isr)nkt0 ldf;yj8o7b5 l $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston oepzk53aka p5b2 6yzp7 f a hydraulic machine. The small piston has 35 kbpe57zy62ppkaaz 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 pxr u mx+qsl3*+v,yy+ eiston has a radius of 5.0 cm and the large pis m+e x ly3+qs,xyvu+*rton 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 the large piston?

  A 13,000 N vehicle is to be lifbwn).l6m(z 9 i1. jf/rvtn o-f zupcp;ted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter pist-.wun pm r9.pz6/lcv zf;( onj1b)fiton to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and +zfewd(t* ml ,fh+ywh9hh(q 2 its large piston has a diameter of 40 cm. The lift raises a loadf+ylhh2d zeq w(*h(+w fm9ht , 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. Whhkw*ul9b;0fmw4 (bxd7 o3dl hat is the buoyant force w;m hwl 79f3dux0hbkol(d b4* of the water?

  An object has a volume o)8 lf/d) sgn34yf ljyif $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supportx; cnkmi84;p5dl,l amed by a string while submerged in water. What is the tension in the string? (The specific grap4 ;imlkcx8, 5mna; ldvity of iron is 7.86.)

  If the density of gold 5(mvcheyb eq f531* lbis $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (densc. d.xhlw.zyd+ no vt9p1 0s0uity = $7.8 \times 10^3 \; kg/m^{3}$) 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 6.92cv 67 4i pcqb8vlldk86 N when it is immersed in water4blkc6pi 7dlv q9v 28c. What is the specific gravity of the object?

  A container of water is ysxwzn ;u)hv+cdz,z ;h; 4a(c 4b1ohbkt(q+ k placed on a scale, and the scale reads 120 g. Now a 20-g piece of haz4u )v1c znx;k4+q (s (;bohdhy ,+;twzbckcopper (specific gravity = 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 density hw-rcj/s: 6qedr .ir9g:cn7-2 xuuxuof $2700 \; kg/m^{3}$ 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 diamete:i2donx+ys 0un/hc/j r 2.0 cm will just barely float in water. What is its masdxj2sc0yh:/n n /ui +os?

  A rectangular box of negligiu,15 has2cywkg2guky yf) d4, .vh3wq ble mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box befor4hh2ad.s5,)y cg fk1wu ,wykuq 3yv2ge 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 vj1.zqcnzyvo7o d m2 8f/ a5 /k(zfgd;colume beneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight of the o.2vfkdj1qyzndz co 7;f o/gma5cz8 (/bject?

  A solid object floats in water with three-fourths of its volume beneath the sur;p)uv .8qrfe8n 1 bzegface. What is the object; pube.g)nfq8z re1v8's density?

  A 200-N object floats with three-fourths of its :xhr*sj :nj* pvolume beneath the surface of the watexjh s:rj:n* p*r. What is the buoyant force on the object?

  A polar bear of mass 200 kg n9f1 dzevjg d(s4-- hp.b(rcp stands on an ice floe 100 cm thick. What is the minimum area of the floe tv4n(d.jsdg9-r zp1e hf-(b c phat 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 nzhj5989mm pp)1 og. cn)tqzi diameter 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 8j 3e oxhmow+b)i k5j9is a 2.0 cm diameter restj3 ohmebw8io)59+ x jkriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a h p 7rlrb *t/s9yk7l +)7sk)opex :r gnv/1dyniorizontal 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 take3xdu/4atx 2vqjxdwsi6e3k *o vf0,: h for a pump to supply a drinking fountain with 300 kPa, if thxdj ek0 6h,av3oxq4wu 2: stf*x3di/ve fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottoo4(6jc1qp(n8 l u4 cm+rhzpysm of a water storage tank that holds water at a depth o4qmo8zp r s1jhl(c (ncpu+6y4 f 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sei)1r prdo,yswo 1k)- rfld n7)ctional 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. mg f,d 5br:7jkHow 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,r5mdg f:bjk7 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 oeme9m:d0uocbv.,01qwv xt4ja 1 w u s/f an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant bj / 0sx40,v:.e a1bdtv 9w mmq1euucwolood flow?

  Two narrow tubes are placed in a pan of water. Tube A asu1rvpcmmq(okj7 0fv :(;;mhas twice the diameter of tube B. (0v k; ;:pfqv1(mrjamu7 scom If water rises 24 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 riser 2)y+llr wjgx ac+21e in a capillary y 1c +l+rjgx22w)l eratube of diameter 1.2 mm?

  232

  To what height would wm sm2:p2m-nqh pn3x6rater at 0 degree Celsius rise in a glass capillary tube with a diaq:p2n3nh2 r m-mmx6p smeter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the watel1 .ari22zn jxr 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 happens to the height of the l jra12n.z ix2liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.60ev(tbyci13 8rnbr * 1g0 m with a soap film formed within its confin 1 (8vy1btrirbcg *3ened 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, ahh 5g+ r619e 31cpygn :mzyzmqnd 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 requ p6zgh ym 5c+ne:rhg31q1mz9y ired to move the adjustable long side so that the frame is 12 cm square?