The three common phases 9wwkw*dn, 5 (lukd02 vwrknv3of matter are

  Density is

  Substance A has a density of m uefbjv *z) 0o9d8yi4f)io1k$3.0 \; g/cm^{3}$ 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 q5 upp verp0-9not a unit of pressure?

  Consider three drinking glasse;hk 8k.q 3 tpx8y7700nn 5lpludooyv0p9vksls. 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 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 v5y9 p;oyu tkok70k8ld. 7sx0q3plvn hpnl0 8so holds less water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference betsdf y -n*l.5pkoczxu/l17 kt4ween the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure at the1kvoti z t; d4h2lccv5)u9 ih: bottom ofcdit ou4vzkt 9v5);2hl1:i hc a pool?

  You are originally 1.0 m beneath th8f2(jvx9c r y,yzx.oj e surface of a pool. If you dive to 2.0 m beneath the surface, what happenof8vjyxzrx, .c2( jy 9s to the absolute pressure on you?

State Pascal's principle9cb8xx uq0yg(b n/3et.

State Archimedes' pr7yv.hm 2 0cwaxp:;echinciple.

  $50 \; cm^{3}$ 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 z* 7.nyit)gx fv91grd deeper into water of constant density, what happens to1gxif9tz)d.*v n yr7g the buoyant force on it?

  Salt water has greater density than fresh water. A boat floaruiri2--t rhrwiv.7z9 , 6 vndts in both fresh water and in salt water. Where is the buoyant force greater t7rwhd-r v 2nu.zri9,vr-i i 6on the boat?

  Salt water is more dense than fresh water. A ship floats in both fres1 a,4qnndk3fvh water and salt water. Compared to the fresh water, the volume of water displaced in thnfd van3,k1q4e salt water is

  A steel ball sinks in water but floats in a pool of m1 vl.g z9z+o h-nub/ti;d zesc2+iqzozd* 7e 5ercury. Where is the buoyant force on to z+o 5ihn t+s19;lub -dzg.zc27 z*/iqv eezdhe ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lak)dy4vbt .-f9emjyy 3ge, right next to a 10-kg piece of lead. Which hay gj.fy 3v 9bt-)myde4s the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If m.67jvp g su/py.qigihs*m3 8the iron is removed from the wood, what happens to the water leve 6 q spy*7/m..83gimhui vjsgpl in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood si0 z 8o-ouzk )mejg0rvj9b00y lts 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 happens to the water level in u9-jkm8z)l00ro z0 e j ogyb0vthe tub?

  Water flows through a pipe. The diameter of the pz65ke2+sw wpoipe at point B is larger than at point A. Where is the speed of the water gre6wzew5po s k+2ater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. Imu8rhv:sj5 a mi:78sg f the pipe widens to twice its original radius, what is the flov: 8 :sju gm5i7h8ramsw speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizo za j+e/zenxb +4kpbk8xo414mntal pipe. If the pipe narrows to half its original radius, what i mz4kpe8+4o e z/j+xkxbb4n a1s the flow speed in the narrower section?

State Bernoulli's princ1ckf7:+xo:*kyqck vz iple.

  Which one of the following is .w d8elzl ft pi,wv166associated with the law of conservation of energy in flui6 tz.idp1w6f ,el l8wvds?

  As the speed of a movij.l sd*a l6ooe68 x.iqng fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the-ps4,q r3 ydppb xn5*s wv*0xn pipe at point B is larger than at -bqpwx ,0sn*yr4sxd3pn5v p*point A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the pb 3k5 romh:ay 1lpm*vx3e cu5*aper rises. This is because

  A sky diver falls through the air at terminal veloce5y(7f6bbyh05sa kldi m j7n 0ity. The force of air resistance on him fn5k06b7 m ey7ih( 5bjayd0lsis

  Two Styrofoam balls, of radii q xw0f: lkcn 7g,mm+u6R and 2R, are released simultaneously from a tall tower. Which will reach the groun0 nlfq6mgwxc 7 m,u+k:d first?

  When a small spherical rock of radius r falls through water5akazoog- * 2jpbdd 0., it experiences a drag foj 0goa.oa-2z5*kpdd brce $F=arv$, 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 greatesyi3gm, ter+qsp-5 f,o t effect on the flow of fluid through a narrow pipe? That is, if you made a 10% change ipqe,tr5,s+io -m3gy f n each of the 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 of pmocr q3 cewwfd-7x 09h1o9 :egipe 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, whaf9mew01e d9q c7whgo 3x:cr-ot is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as long as pi.h 8zi zr ko5qlj(do55pe 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 isq hjzk 5o.r8d5zi(l5o Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. T jl cwl2j20vp8his "greasy" taste seems to be associated with oil spreading out 20pw cl8j2vl jall 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, the water rises to e)6t gc,lx;vw.i,bko a height h. If the diameter were half as great, how high woul;c., bv o,)wge ltkix6d the water rise?

  Certain insects, such akdq5yi;3 otl+s 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 is twice as big as bug A, in all dimensions. That is, bug B is tt3yodlq;5i k+wice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweight that;rzc bsr,d mthf30lyktjxc o-.::- f0 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. Suppozh 0o-dy.:,rtt c:mr l; xcfj3k -fsb0se 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 2.00 cm x 3.00 cm x 4.00 cm z0:4wgu- xja0 f(w;w pj7uqhbhas a mass of 30.0 g. What is itsqguww7ah- jp(0u x4zf; j0:wb density?

  A liquid has a specific gravity of 0.357. What is itrc,ss 0v9ckvun,, sy9 s density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. Whre psd56q6p 3tat is the maximum pressupd e6sr5pq3t6 re it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has arwz1b);r x)c.t wxrtbw9 rna65ea $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must f07 b:)r-hzquvh 3)oph: ,i my;vhdgwa submarine withstand at a depth of 120.0 m in the ocea:mh70-)v z hwogd:huih;p , bqfr)v 3yn?

  A circular window of 30 cm diameter hy8 ib7j- ;oh r*+ndhfin a submarine can withstand a maximum force of y-hd;* 7j h +bfnior8h$5.20 \times 10^{5} \; N$. 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 0l r1*betwc8upressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (The n2 q 1tagjgh,c)t ;wpp2r wt1f/m7fm.density of seahma t1;fcn p2rt w fq7/t mj),1g.g2pwwater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure ato a sn/hxjth/92)wp2,rlkdz: a location 15.0 m below the surface of sea? (T/ / wdlzon)jhp:22h,rxa9kts he density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hyb gzi)p(8ox9p draulic machine. The small piston i9pgx)z8b(op 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 awl/ ;ea c- xl)h68;oul2jf jicnd the large piston has a radius of 15 cm. What force must be applied on the small piston in order to lift au) j2x6 ac;li l/e8hjcw; of-l car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diamv+7p/ n-cjjv teter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to ac v/vj-p +n7jtccomplish this?

  The small piston of a hydraulic lift has a diameter of 8i-py /ws9zg + 6:k/bxchw-umg .0 cm, and its large piston has a diameter of musz/ g:y9 gpc iwh-/k+x-b6w40 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 wei9ii zkc-/ yadogf;nrdo 7(m ,5+;hsegghs 40 N in air and 30 N in water. What is the buoyant force of the wat/gi;rgh-k7 e(z+sad imcfd9;,oo 5n yer?

  An object has a volume of vyt348no(ircb ) mpw fw -lb+6$4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is sud kq8rs e.5l6bc68 djspported by a string while submerged in water. What is the tension in the string? (The specific jds.d b qks5868lc6regravity of iron is 7.86.)

  If the density of gokd.gbbl tp/18 9ez)y92 a6eqd9w tyc vld 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 (density =s2lwzm.4p7hiaaj9g 9+ l sy d) $7.8 \times 10^3 \; kg/m^{3}$) 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 N when it is immersed in xipoaprg -h5 3ra4erf:6 1.o g5dac ,hwater. What is the pr -ap:ho3,64d.g e5r1r focg xih aa5specific gravity of the object?

  A container of water is placed on a scale, and tv+*efx2 x+ ( lzo ysi.t8l3eeqhe scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread ani8x. qsl el +*v(y o3f+ztxe2ed lowered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mg; 7 uqc7gako.v1:fs qass 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 cm and diameter 2.0 cm will just barely flo ;y7,ybe +tmko vsu5v-at in water. Whatuy v, v7bk om+e5tys-; is its mass?

  A rectangular box of negligible mass measuresrm 5 li7e9q- rl)+fr*d:qtw sh 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box befot-rq rr si5ewf:+*lh9 7mq) dlre 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 the surface of the wa1ca7,y66fnfl n;aw1*pm euql8 o(pejter. The weight of the displa7lj oe(pf 1 p 6naf,8umnl6ay1 ;c*weqced water is 2000 N. What is the weight of the object?

  A solid object floats in water with th :vg;jixz;j .xbf,f*y ree-fourths of its volume beneath the surface. What is t z*x;:bgv .jf,x;jiyfhe object's density?

  A 200-N object floats s6,5arift tm/)as ,dbwith three-fourths of its volume beneath the surface of the water. What is the buoyant force on thmb, at ,65rfs)a/tisde object?

  A polar bear of mass 200 kg stands on an ic t(ipt3m0 d r)cq)sh4 1uk2yeae floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater ofr1)i u2t(t )mcy e43sh0dapkq specific gravity 1.03? 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 flow rate:oya *-7ix ci/f5w **wiv xkqe.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There isy : 8kh hduog-mz9b+z4piuk 80 a 2.0 cm diameter restriction in the line. What is the velocity in b-884:+hmdz i uk9zgy hukp o0this restriction?

  Water flows at 12 m/s in a horizontt1v lhia5 07izal 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 as3h 5yukw6(/l*r7g u1n 5flza6fu kjtake for a pump to supply a drinking fountain with 300 kPa, if t(k5u/n a l 7wzayurlkg16 6*f3f hs5juhe fountain is 30.0 m above the pump?

  A hole of radius 1.0 m+dtixp 5jn2ee7) jxxryy hgu. 0n32)b m occurs in the bottom of a water storage tank that holds water at a depth of 15 m. At what jb xyth5i7nd0y+j.gx2ern))3u x2e p rate will water flow out of the hole?

  Water flows through a horizmzhv9 .01j8 fso7zry1t jn d/contal 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 ik: bafm m,dl-8t 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 md8 -b :lma,kfabove the top of the neck, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up n,4upxnwt i x+.g0j*o85 h4ppo 7j yarof fatty tissue on the wall of 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 bloongp4x +4anx,oj* opu w0ihyt5 r 8pj7.d flow?

  Two narrow tubes are plc2nsui 88 /:qwey;rm iaced in a pan of water. Tube A has twice the diameter of tubemis8w re y/8 n2;qcui: B. 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+y(ampmb uc.w 2zpz .; rise in a capillary+ym.. (pm2zup ba;w cz tube of diameter 1.2 mm?

  232

  To what height would water80 y.cv9vwibi at 0 degree Celsius rise in a glass capillary tube with a d . ibcvyiv9w80iameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and vj)liiz 7c/t9..y x zsthe 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 sosjzzy l).i97v c/.i txap. 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 bz )9:cks qtdyd*( xd9l/, kci:kq6efsoap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much fo f:kq c9ekl, (d6*)k/tczxdsq diy9 b:rce does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, lq l q faf9g7 )vyt833:wva/khand is built in such a way that one of the longer sides can be moved without ktl 3q9aq/hv73a vflgywf: 8)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?