The three common phases of mattefyhmn 1zwe9 .ltn0 aml22+8q nr are

  Density is

  Substance A has a denm :7qm6wuu. ks5fmjscs6xrzj1 *,h h8 sity 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 pressure?w(bhd0f j+qdu tts42ym)3c g-

  Consider three drinking glasses. All three have the same area base, and a tk8mj h*q(x.all three are filled to the same depth with water. Glass A is cylindrical. Glass B qm.8 kh *jtax(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 the greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and outside a tire oa/bexxc u- 6 d5eyor/,aro//zzu::a called?

  When atmospheric pressure changes, what happens to the absolute presuw inle5ur-wx1/ ; a;lsure at the bott -xui e5w1n/lawr;;ulom of a pool?

  You are originally 1.0 m beneath the s + ns9gijl6pkl u:3qed3;4b lvurface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pr jb4l l; guik+dlq3:sp6e3vn9 essure on you?

State Pascal's principleq/x w 42ei 3z,z;hqdfooc1 ho2.

State Archimedes' principl+,xqyo vd(j4vx ( b+ive.

  $50 \; cm^{3}$ 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 o1qbo/wk viy 7h wl*t7ztps*19f constant density, what happens to the buoyant force on hty w/ti1o*9*vbk7wls zp7q 1 it?

  Salt water has greater density than fresh water. A b+4.utn*ng bj foat floats in both fresh water and in salt water. Where is the buoyant force greater on the bjbnn. +*ug f4toat?

  Salt water is more dense than fr.ht 2:+ckmdije .9 ffoesh water. A ship floats in both fresh water and salt water. Compared to the fret.hoc 2em+.j9f ikd:fsh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Whe 886pilc5 ea 7wo8yhrere is the buoyant force on the ball greathi8p6e8 r7l oey8c 5awer?

  A 10-kg piece of aluminum sits at the bo lx3)tmr*e08ox,hgh uttom of a lake, right next to a 10-kg piece of lead. Which has the xhr*30eh,tglm o)x u8 greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If the irsoi.dl/3q l 8h(9wd xton is removed from the wood, what happens q l(di8/dohl3 st wx.9to the water level in the tub?

  A piece of wood is floating in a bathtukphp p ,+ wjs-tfa:l9bee f7 s+6;d ffc07zpz2b. 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 the water, what happe+f6,cpstkh-p7 f9zp f +p7bj ze aew;d: fsl20ns to the water level in the tub?

  Water flows through a pipe. The+45hk t032y l 7hx +ow,7vzc sskkgcjd diameter of the pipe at point B is larger than at point A. Where is the speed of the water greater?schks3,xk++5 4dj kzght 2 7oy 0w7cvl

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twic f*xf*pb+glq9 igzw7 1e its original radius, what is the flow speed in the wider section?x **1lifb79z+q gwgpf

  An ideal fluid flows at 12 m/s in a horizvsyv:4u6+wsjf,ax*)a9yz / 1rmoz xzontal pipe. If the pipe narrows to half its ov+jxfs z) 9s aou4y1xwam vy:*zz6r/,riginal radius, what is the flow speed in the narrower section?

State Bernoulli's princtolpt .7fx-pu k )e g8i)73lw*qd;gxyiple.

  Which one of the following is associated h2x03 d3ypgez; s9xu zwith the law of conservation of energy in fluyx u0x3pzg9e3z;s2 hdids?

  As the speed of a moving fluid increases, the pressure in the fluizs.ko muten u ,1kat6,br+ ,-ed

  Water flows through a pipe. The diameter of thef :csebvp(m,0p/,dkv pipe at point B is larger than at point A. Where i 0es mfdk:b, /vp(p,vcs the water pressure greatest?

  When you blow some air above a paper strip, the pap,t *w ,7s vnrqd-fy/vfer rises. This is because

  A sky diver falls through the air at terminal velocity. The force of a97pv dzf )vem4ir resistance on him z)4e9 7vfmpvdis

  Two Styrofoam balls, of radii R and 2R, are released1 lilhi.0+s0hd(,nbu0y bs *xws tqm7 simultaneously from a tall t sx 1bb. su,h+lstd0ylqhw m70(nii0*ower. Which will reach the ground first?

  When a small spherical rock of radius r falls xsxcn9uanp-9rm q: (7)xn p b4through water, it experiences a drag fo ps xnqxx -b(9r4mu7n)nac p9:rce $F=arv$, 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 93bwv ;) ag-h -mogkstyv,q/vis, if you made a 10% change in each of the quantities below9b w v os;gh-)mktgv3q-,/yav, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the s qkac (0w0-irhd ;.hddiameter 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 in ad hih-d0.(qck;r0w s pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as long as p ;4b9:gm rx6s733s9nnv ml j8boocfyjp.h /sdipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow rats3/ 4fod.369 jsl7b cj nms;8rmox9ypn:bgvh e in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastvdn zz 9(sv ,q-9bxb1les greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. v 1(vsbdbnzz9 -9, xql To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placrfwu4 ukt :kl32h 2q4ied in water, the water rises to a height h. If the diam hru i4u t2flqk23k:4weter were half as great, how high would the water rise?

  Certain insects, such as the water bug wz 6ypiz3u7+k, 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 as long, tip y+w7zku6z 3wice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweight thatw4xd+ ng8el69d5hhbov;x 8sd 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. Supposewdsg; h9o xb8+5xdd48evn 6lh 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 has a mass of8z)if- vfbd5 z 30.0 g. Whiv )z 5f8-zdfbat is its density?

  A liquid has a specific gh9nov buoiu-k. ya2gord(9 th3*m 8s4ravity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cmow::jnk nku al/t i4.6)v ipm6 x 4.00 cm. What is the maximum pressure it can exerikp/w4i jn.am:ktlon)vu :6 6t on a horizontal surface?

  A person weighing 900 N ise .(f;gs9 amg gek1cp,bc-i5a standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (ao9-v:zd ryyo0 bsolute) must a submarine withstand at a depth of 120.0 m in the or-09y doy:zvocean?

  A circular window of 30jwy j.rn (ji 51fvdkmy-. 4z5c cm diameter in a submarine can withstand a maximum force ik. (n f55 ryj4vzd1wjy cm.j-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 if the absolute prngo t;8;d7 -ykcc7uth d (lfw1essure is 300 kPa?

  What is the gauge pressure at a location 15.0no4+, o, mllfi m below the surface of sea? (The density of seawateif4, ,nolo +mlr is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the n- fjf e; z50rq*acv8qsurface of sea? (The densi85qz;efrjac*0 vq nf- ty of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. y*c* t/iu. aia,( ezaeThe small piston has u*ay,.ce/tai ae (*izarea $2.0 \; cm^{2}$. 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 ofs/qgpe xpwu35*o )v3w 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to u*e w vwg/o3xq5s3 pp)lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle isqptwg9 ghjp1jr2(( 8z to be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm di (r2zwj p18gq(tgjp 9hameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cmn*v(z3*n rdr t, and its large piston has a diameter of 40 cm. The lift raises a load of 15,000 N.*v* (ntr zrd3n
(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 is the buoyant fori, 4+fk4v qc)km q8uhkce of th8c u )qkkk4,v qhifm4+e water?

  An object has a volu1b+6j,ixbcxj (/bihnz* hq7 eme 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 while s6i av s9po5kf(ubmerged in water. What is the tension in the string? (The specific gravio 69 p5as(fvkity of iron is 7.86.)

  If the density of golo2 8msf/k:gspd 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 =c1qvd + ab1bx2-y5wcb $7.8 \times 10^3 \; kg/m^{3}$) 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 if*d-:y 9z zrktiw+ b,N when it is immersed in water. W+dz zrw, ifitby:9-*khat is the specific gravity of the object?

  A container of water is placed on a scale,hpguuu 1ohix47, ;s0v and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lpouv,0h1u7 sxi u 4hg;owered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass osg9thi7 k p.oaaak 7dk61s z;1tlu1v .f 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 +.ofhod 8cktkd. jtk n*nn2+/ length 12 cm and diameter 2.0 cm will just barely float in wattd+c .8 kkn *n2.nto/kj+dfoh er. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 mj-a+ ,em vbo9g s6;3z)datwcu high. How many kilograms od,zc 9-avutm6gwb) aj e; 3s+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 the cecqi89 zl oyp;r 5m 1xej(.z4surface of the water. The weight of the displacr58.9y(m1ecolez 4 xijc; pq zed water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the idpu /oh q)(gy -x(q8jyvxv*;surface. What is qg)d;q ivoxx-/uj8 y( (p*yhv the object's density?

  A 200-N object floats with three-fourths ofj(gv lsu. x47f bqo o69y+2xwp its volume beneath the surface of theoo sj+94 yqxwlpfg.(x27bu6v water. What is the buoyant force on the object?

  A polar bear of mass 200 kg sts)whf uk/i5l(ands on an ice floe 100 cm thick. What is the minimum area of the floe that will just f)s i(wul h/5ksupport the bear in saltwater of 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 flo9i x4jzqp/ q1ww rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There ddb9v2l 8dkvqp1p. ,sis a 2.0 cm diameter restriction in the line. What id829., bksp 1vqpvl dds the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe wc/ kk;p4k3ipn/slk 4o ith 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 drinking fountain with 300e5wk3 s+sswy 0 kPa, if the fountain is 30ww+sk05essy3 .0 m above the pump?

  A hole of radius 1.0 mm occurs in- *g-w5tikb rivxh4 h l7mx8h;e9*ah q the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow i*ti5h4;ae 8mxhx r9 --vgq hl7whbk* out of the hole?

  Water flows through a horizontal pipe of cross-sectional area sl ku ++ljd 9yzigs7:3$10.0 \; cm^{2}$ 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 v: 9(7v g,r84zwmt quyb;njeufiscosity of 0.20 Pa-s. How long would it take to pour 4.0 L gn qwz(je mb tu;8yv74u 9,rf: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 the funnel.

  Suppose that the build-up of fatty tissue on the wall of an arte i:v,p x6xiu,lry decreased the radius by 10%. By how much would the pressure provided by the heart have t, px,i 6luxi:vo be increased to maintain a constant blood flow?

  Two narrow tubes are place) bfvbvmhpz5x24 1 ;zwd in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube Awv2b1) p5x fzzb;4hv m, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will w* 8sqhby y3qrgzhj - 3)h-7t-yenhg.*qy)xnbater rise in a capillary tube of diaq7s -yh q zyxg--)3j **yr)bnhehhtq .83y gbnmeter 1.2 mm?

  232

  To what height would wa ndhlucc9w( l n05vlisea)/2,ter at 0 degree Celsius rise in a glass capillary tube wisc5e vl/2n, ihl)w(an cud0l9 th a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the wm r. 8ix e8mn3-4dnjpaater rises in the tube to 4.0 cm above the level of the pan. The surfacee x4 mm8jn8n-ir.da p3 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 1 ;ptfjsc,* p6xksomtjo)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 s kjt;*,o p.6 m*)1jtpsxm ofcdoes the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has le1hs i1j9x9v2m k2ma4m/q x2y sefc3 tength 12 cm and 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 N/m. How much 3 s tmemyfh/2 mj9axsq1ve4xc1 922ikwork is required to move the adjustable long side so that the frame is 12 cm square?