The three common phases of mattcf1aq ;avd5 f9er are

  Density is

  Substance A has a denlbd *: w3t2*gif* jmggsity 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 no zlj9ivx 5)ok3 t .h-uo/ijh9yt a unit of pressure?

  Consider three drinking glasses. All three have the same area base, a.z fnf6s 5ltf,e5b -qmnd all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wi-stm q.ffne56 zbf,l 5der 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 an.cf 716r 9xp sqfgtweb*/h r1hd outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure at t3g*lq(wi)a wjhe bottom aw (wg*jli)q3 of a pool?

  You are originally 1.0 m b9qxq a .nfwz41eneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on youfqw. 14znqa9x?

State Pascal's principle.uletv f .m 4cbm6.vn;.

State Archimedes' princs6r;9f , i90 ly7b dqptaetq9ciple.

  $50 \; cm^{3}$ 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 hap.bi79y qxps(,- wf tjdpens to the buoyant fowdy ,if9 ( .7sb-xjptqrce on it?

  Salt water has greater density than fresh water.40xtivsk3u tld5a / s- A boat floats in both fresh water and in salt water. Where is the buoyanl-a/50u3s k sttix4v dt force greater on the boat?

  Salt water is more dense than fresh water. A ship floats j;8nkq f a,dv..sp 5riin both fresh water and salt water. Compared to the fresh water, the volume of water displacv8fd ,;a5qpsk. j.nired in the salt water is

  A steel ball sinks in water buji59 j9l9tewb-a nu88az7nhat floats in a pool of mercury. Where is the buoyant for5h bz9-89j nujle nwa8it9a 7ace on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a s tozf:8jvz 1c t8yj8uq 4u+1h7gn 2zp10-kg piece of luz f4th:q 8n+j y8z1jupv goc78t12szead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floatwskoopw8m2-2p9 r4 ua ing in a bathtub. If the iron is re28raw-suo9mk p w42pomoved from the wood, what happens to the water level in the tub?

  A piece of wood is flq-q84:yvvgdt9dhcjo8rai (; 3ngxi+ cy 9:mf oating in a bathtub. A second piece of wood sits on top of the first piece, and does ngcy c8dd4r:gn h9fj v i-q +y xa:itom9(83qv;ot 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 t8gotbcm ts.0r e9*)lshe pipe at point B is larger than at point A. Where ct*mb 0.stl8rso)eg9is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twice2,2d bda.iunfd +t+a/q5h daro - ls(z its original radius, what is the flow speed in the wider a s+d iaz2r.f5(t2- d dqodlan+hu/b,section?

  An ideal fluid flows at 12 m/s in a horizontal pi;zp0u)hu; rmbpe. If the pipe narrows to half its original radius, what is the flow speed in the narrower section?;u z pmrh)0;bu

State Bernoulli's pri-l+rko er2n*t - .fq3l-vhluk nciple.

  Which one of the following is associated with the law of obh9f )l zm,7vconservation of energy in flui,mh lvo)9bz7fds?

  As the speed of a moving fluid increases, the psac x 6p)hm *o t0z9c4lmv01vhressure in the fluid

  Water flows through a pipe. The diameter o.z g,oazzqunwz;,tc2ue 5x, f xk88 2gf the pipe at point B is larger than at point A. Where i,,zun;58z2 g,ozteckxu zafgq8. w2xs the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This wz h;p (-6 ylnrkci1+sis because

  A sky diver falls through the air at terminal velocity. The force of air rerm3 phc fw8nj/s o 48dz0zovkt43+eh 5sistance on hi0fhzrt +mv 8o3 /zwc hjkn4dp5es4o38m is

  Two Styrofoam balls, of radii R and 2R, are released simul03 j72-ouxwx ,nlpzvu5d8 usctaneously from a tall tower. Which will reach z8w-cv2 lo n3uusp75xu0x,j dthe ground first?

  When a small spherical rock of radius r falls throug6*;pe4paaw 3gc xhp z aq1r+3ah water, it experiences a drag force pq+;ag* cpa313p 6a4xezhraw $F=arv$, 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 fluid through a narrow pipe? That:y v-cmlpko4ca9+d /v is, if you made a 10% change in each of the quantities below, which would cause the grd9cvv+-mopk/4c al: y eatest change in the flow rate?

  Two horizontal pipes are the same le.h0yycwog 2w6y q+s m*+ plnw;ngth, 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 flow rate inycp6s2m;0ww oln .wgy h+qy+* pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twicea3 3 8;/qsga9)kfrtyq 7jp tc8 tmz2gr as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lent3kc7p q8m38t2t as;ag/f r)zr9jgy q gths 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.kn3pu (llt xhh00f9f 2 This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", this is readil03lfp 9(ft0 2uhkxln hy explained in terms of

  When a tube of diameter d is placed in water, the water rises to a e bion e9.g48tcb0 8cqheight h. If the diameter were half as grg8. 9bibnc8 4oe0c etqeat, how high would the water rise?

  Certain insects, such as the water bug, are sufficie d6gdv/m(pih/ntly 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(p /vd gi/h6md, 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 lawo g 2bj1i;0zightweight that they can run on top of water without breaking the surface tensioz;i a1b0gjo2w n. 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 2.00qjz e,wlqx(or)x43oa:b( +ig cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What i(ja q(lxwre)oqb+4z3, g :oxis its density?

  A liquid has a specific gravity of 0.357. What is its densik 2fft*x3,go sty?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 ch r :7(lb1 ;: hsh7tmqe g9wizum/g.tzm. What is the maximum pressure it can exert on a horizontal surface/ hlw th:m7rqe.bmh;zz:tg(s971 gu i ?

  A person weighing 900 N is standing ornk5h0;,dw yjf iog 71n snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absoh),crc g+5:z vpsj.k o 1o8bnxlute) must a submarine withstand at a depth of 120.0 m in 5c )s j:,onrchxvk+g.p1z8bothe ocean?

  A circular window of 30 cm diameter in a submarine can withstand a x s* zi/ig6.,him)q uwmaximum force imi h,xsu*.ziw6)q g/ 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 evg to gfa1d2r(. mv z9oy1+t7if the absolute pressure is 300 kPa?

  What is the gauge pressure at a locaygtj:r,lzlavq;gv6c:+7:w 1 rk+-d l 1 uwjeztion 15.0 m below the surface of sea? (The density o; l:uer16ww ,::v+gl 7-qgl dvkj j+1ryatzc zf seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressuriwv.gkwtwb jz -i)(39entf37 e at a location 15.0 m below the surface of sea? (The density of seawater ivg)w 3t3iz(-fbww ten.97 kji s $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a ok d )eprdjj0l:,m85lhydraulic machine. The small piston hadmk5 p re,8lodjj0:) ls 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 ) z*6 u*4ezsv00jhwbvn lv8o qpiston has a radius of 5.0 cm and the large piston has a radius o h 4o00jqv86*euvb)*zvwnsl zf 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 lifted by a 25 cm diameter hydraulic pise6wzx)l:gd 3d ton. What force needs to be applied to a 5.0 cm diameter piston todgzle 6:3x d)w accomplish this?

  The small piston of a hydraulic lift has a diameter ofjh2w;a+ wp/i1 8d t:g2zejioj 8.0 cm, and its large piston has a /hg jwe8jzi+podt1wj i;:22a 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 aznap k*y8s ) al:*d:gg0iv(z40 N in air and 30 N in water. What is the buoyant force of the wati g *pkn:*v0lzy(a agaz8):sd er?

  An object has a volumcs9, hov5 g/gme 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 suppos c. dh7oh (o9:8sebwbrted by a string while submerged in water. What is the tension in the string? (The specific gravity of iro cweh(78s9 :bo.sdb hon is 7.86.)

  If the density of gold icme8d9b i s8 6(ao5tlrblkw3 0s $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarinf3vw4g*wz*x(lt*y kpwq r5i / e (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 N when it is in air and 6.86 N when i rze5 d *yu (od*8oue 1rxebgj)ex.7z,t is immersed in water. uxr ,jr dee*)o8z1ed g(u.*zxybe75o What is the specific gravity of the object?

  A container of water is pjx4 je2(4vq9ecwt)xl.x p6j olaced on a scale, and the scale reads 120 g. Now a 20-g pie6etxxjvljqo449 jwp c(ex. ) 2ce of copper (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 oo24d1go2 iu )tszgm: wf 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 diam9 +5sh 0le cr7ddrw6mbeter 2.0 cm will just barely float in wat+5 0wmlshdd e6 brr97cer. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide,ff-7.z b bo2; t*h*,e b nbk+srxwbuq4 and 0.50 m high. How many kilograms of mass cae2bhfubt 4,;b r7sx* b.*-kof+bnzqw n 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 beneathp.dqaeal tz2+( +r9:wmx sry 1 the surface of the water. The weight of the displaced water is 2000 N. What is trt9 spwy1ra+zqla 2d(e+ .mx:he weight of the object?

  A solid object floats in wat9 zixv4z5o1oyx wp3jt f+g1h g 7 +6kx5ze2alner with three-fourths of its volume beneath the surface. What is the+o gy4 ex5zliv1hgz57+9fj 1x62 a3t zwo pxnk object's density?

  A 200-N object floats with three-fourths of its volumedx-hl:0,a r5vwkd ps: beneath the surface of the water. What is the buoyan- vad:sh5d0xr :,l pwkt force on the object?

  A polar bear of mass 200 kgzpoj,gar+; 1s-ld5;o,r kp yw stands on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in salp+,5 wzyp ,gol;j-rr;doska 1 twater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter e stco1 9+) 2b rfs0l5ekrjfg+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/stx ob 4mzunqb9/k7s pmxn i2)0-c)r448sqkj a. There is a 2.0 cm diameter restriz07qbnxi 9s) m x4tnsk rac2q 4kmo-p )u8jb/4ction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe wi 9 hohi)fvhn qw00zjv9a83:. (lljf gnth 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 supplyp:caos77cgw+ d +no4s a drinking fountain with 300 kPa, if the fountain is 30.0 m aban :wcso+so cdpg 7+74ove the pump?

  A hole of radius 1.0 mm occurst8d(qu :wa,ir in the bottom of a water storage tank that holds water at a depth of (:u ,r8q adtiw15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipv+uj y37 ap7ige 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 it take to pou k iq-lz1r-dt1r 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 effects due to the upper part of tktz1l-1 qr -idhe funnel.

  Suppose that the build-up of fatty tissue on the wall of an:;r7kgp yi6wt artery decreased the radius by 10%. By how much would the pressure provide6;grypk7: iw td 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 4p4 cf2-ne dyllm ta7x8q.d*yhas twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in tube y47l tqcd8f y2-xde.mn 4p al*B?

  The surface tension of water is 0.073 N/m. How high will water rise in a capindbs 8.+ 55zlnpqs 4mrllary tube of diameter 1.2 mm mnzpl5q5 8+rb4.snsd?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary tube wiy8w ,.bj n/aff*9 jdnjth a diamet*fj, yd8n aj9j/. wbnfer of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the watx8nepz29o xa6 er 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 liquid column in the e2xzx8p9no6 atube?

  Consider a rectangular frame of length 0.120 m and width 0) gf;xfnp8k 31qfc t1 aqokd vpa(20x+.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 does t x13;ta nfvg k82pc)+ao1ff0kd xqp(qhe soap film exert on the 0.600 m side?

  An adjustable rectangular fr9s t;dex,mk wn y1yioj.m0ow2r l,m.(ame has length 12 cm and width 5 cm, and is built in such a way that one of the longer sides cl.io2,mwm k9oy e0r1 s.x; tw,jnmy(d an 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?