The three common phases of mattezk 3w1oxy;j;m. ;axunr are

  Density is

  Substance A has a densityu -3.pauvh; okaoc;ce6 u6-r z 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 pruek* llthj,b -no)t7bq*s+ .qessure?

  Consider three drinking glasses. All three have the same area base, and alln84i tav m ijk4 3lv.rpp 5y7es.lrd:6 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. Wetlyd n p4.m 4 3v5iap:lrk8s6rj7.i vhich glass has the greatest liquid pressure at the bottom?

  What is the difference between the presse2*)jouxc : cnures inside and outside a tire called?

  When atmospheric pressure changesbpi8 +y.eqhp1ld ,h5f, what happens to the absolute pressure at the h5p81eif h pbyq+dl,. bottom of a pool?

  You are originally 1.0 m beneo.5 rhci 7)yjrath the surface of a pool. If you dive to 2.0 m beneath h.r )roj57iy cthe surface, what happens to the absolute pressure on you?

State Pascal's princr v-,n u3cxbuc488j p4;p jdjzpy;;bxiple.

State Archimedes' princizz(wvpg7:oq -tie8 glvu :1 u*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 wat. m. (*ti8e,wd531 l vej3gzznldkgiwer of constant density, what happens to the buo1.elikn,glw8vz3 g.je3( dwi 5dm t z*yant force on it?

  Salt water has greater density tjk 6:imqlosgv-6 -w 2gr 1;utohan fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the botqs16gj6 -r ivgm w2k;u o:ol-at?

  Salt water is more dense than fresh water. A ship floats in both ; /wzxvbgq.x(me m5 t6fresh water and salwe6xgzxvq5bmm ;/t( . t water. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where is the buoyaj s-;n1-ea wnqnt force on the ball greate1-ns -;eqwajn r?

  A 10-kg piece of aluminum sits at the bottom of a lake, rig u5ou3+ *xczo8b7lhmght next to a 10-kg piece of lead. Which has the greater buoyant ucm5x7og83u* +o zbhlforce on it?

  A piece of iron rests gu4prlqlic/u* tjy n l)62ff1lh46 *uon top of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the watercnh1if/lulg *2 )j*p rly6uq64tl 4fu level in the tub?

  A piece of wood is floating in a bathtub. v 2z811xo4: g8m 0lmzc tuykqlc 1k,gtA second piece of wood sits on top of the first pie42z8l1g ogt1vc0qcm8txl k1,:z y ukmce, 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 B3ifdq yuq65; 3w clq5c is larger than at point A. Where is the speed of the water qqd;l 5fquc3c3y 65wi greater?

  An ideal fluid flows at 12 m/s in a horizjfy. k 7p1a8fgontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider sek 87a pffg1.yjction?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrigc/i ;jlh7 t-ows to half its original radius, what is the flow speed in the nah7c il/-;gij trrower section?

State Bernoulli's princip6i9jc su:7hsa le.

  Which one of the following is associated with the law 65 sr g2dxinp/of conservation of energy in fxipd5n 2s6 r/gluids?

  As the speed of a moving fluid increases, the preso-*+bblh lkfo4, e6w.2u pl dbsure in the fluid

  Water flows through a pipe. The diar.c/sgu bhxbgti )dn d)n-)xs9 u7b -;meter of the pipe at point B is larger than at point A. Where is the water- grsn.)b-)i7 9sgdbt/bn )ux ;c xudh pressure greatest?

  When you blow some air above a pni;, fff 4(kfh.02lz xl tnt4japer strip, the paper rises. This is because

  A sky diver falls through the air at termb w1+hxc bw (t.je,5nqinal velocity. The force of air resistance oex1 wc+( bbhjwt5n,.q n him is

  Two Styrofoam balls, of radii R and 2R, are released simultan8d;wu paeq s ws/e04p)nqa n.+eously from a tall esanw+.pseau;p0 )8 q w4dn /qtower. Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it experiences a dh pgjqvw/z3p;t 3: x/urag f h;3wv/ 3/jq: gtzpxpuorce $F=arv$, 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 tu-h g , -3cu1ah+qcfezhrough a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?qhzf1c +c a3 u-g,h-ue

  Two horizontal pipes are1m7slst 546mw oxr6iap;/c( baif2vp the same length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure differe5pv4 p1(7mlr tiamas 2;i /o6cwbx 6fsnce 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 diamel)d:6 n1hdmcec-w at8ter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure dadcdcm-8hl 6)t: 1ewn ifference across the lengths 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. This "dbks tch5:pz1 j zq9+4l:x4gd greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in bdzhgpc49zt54 kx1 l j:+q:sdlittle globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in ;)f new;:ytge cug y02bl 32ktwater, the water rises to a height h. If the diameter were half as great, 3t;): wgee0ytc2 b yf; gun2lkhow high would the water rise?

  Certain insects, such as the water b.k+ m5vb6frheug, 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, twice as wide, 6+mvhb5k f .reetc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweigi k9pn9x*j8 wzht 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 botp9n9w izkj8*x tom 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 2.00 cm x 3.0wdl-y4fqe (if -x +zs m4e.s0d0 cm x 4.00 cm has a mass of 30.0 g. What is its dene4+4 ldm-f(edf. 0sz-qyix wssity?

  A liquid has a specific gravmtm+)ylus zt;mq b/ 2o8;zvhl)*8xlzity 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 ijvo f76qvw: p-px0p:maximum j pvp 0-wip6o7vx::fqpressure it can exert on a horizontal surface?

  A person weighing 900 N is standiu / kp.q8g4ozish:w(yng on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine si m8fwfdcuj0 b7neb(lv:q -13e(rl7 withstand at a depth of 120.0 m in the oceaceb(77f ln0-sli:m( w3ufbrqdj 8e1vn?

  A circular window of 30 cm diameter in a.,ry sgw79f 35j8o axt o g+my/g c9pefneo96s submarine can withstand a maximum force ofsno87c+xf,g6jp y .fea5to 39g /s9yr 9wmeg o $5.20 \times 10^{5} \; N$. 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 vh 5rpkgs*i-/gr s1wvn,m /24i8ay bu is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface o c*thqr3 4jwsdg)q8m +f sea? (The density of seawa wqmtrd *gsqh8+3)4cjter is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface rh,5fnxg n-t o.)p)p.lgwba-of sea? (The densitr)..lb ,a)o n pthp-xg-5fwgn y of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The small pistn;s f1i (4l o8d/t( ftk2saeo*8vuwno on /o*iftf ko own1tdan 84ve2lsu ;((s8has 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 sm68n7mm1,to af bw ;leaall piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What forcowbm876 na1;fam ,t ele 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 dfzk1 97/sxn* efll pjpi4/jy 8iameter hydraulic piston. What force needs to be appliepfy7 8f k4/p z/ jiexsln*19ljd to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter( wv5d2fe ylrm.3;t ed of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,e2ywdtr m3;5df. elv (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 30cjf z oc -c3:hqy4 o s.0-uonq35bys-t N in water. What is the buoyant force of the z0shcf: qoc .-no -y3ct ybqsj43uo- 5water?

  An object has a volumdg,h) xhzqu81: owh/g e of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of sl ng8wjq,pm8 p7qs7.a 9)f lxuolid iron is supported by a string while submerged in water. What is the tension in the string? (Th8pwxl 9p,a u7qmsqg f j.nl)87e specific gravity of iron is 7.86.)

  If the density of gold is ;aku3,gxl w rep.6w-e$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (p p i+51k :*f ej.px(gowe4cvtdensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 watechiy lw /nnk+j7mp40rp;0 w(txqp4j4r. What is cwwpp n kpx4 y+(4 4mjij/ ;rnh00lqt7the specific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Now a 20-gb y ,6z;vwhde9 piece of coppz9vhd;w,b 6e yer (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 4.m5:if+ qek 8sfesmip3-tsf 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 fku/ d(53sde cbk.v5e rloat in water. What is itu. ekd(rd35/5k bcevss mass?

  A rectangular box of negligible mass meas onmgyi15/ p5ze5gg+ qw,we( dures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks in emge gqwo1pd(+y,z5/iw5ng5 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 the7uv6 ittr9m( c surface of the water. The weight of the displaced water is 2000 N. What is the weight of thev6c(u9m7tir t object?

  A solid object floats in water with three-fourths of its volume beneath t )e jf)w;usbfs66uq3fhe surface. What )bew)jq6u;f uffs 6 s3is the object's density?

  A 200-N object floats with three-fourths of its volume beneath9 p:gicnd5f pt1(oau, the surface of the water. What is the buoyant force on tc pfn95g,doipua1(t :he object?

  A polar bear of mass 200 kg stands on an irk.: 9wohapm.zn e:f p0o*7g rg n*+bkce floe 100 cm thick. What is the minimum areazornfgr+a.p9* w07 m: .ko*enhpgbk: of the floe that 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 diameter 3.0 cm at 2.0 m/s. Find the flow 5 tejj-ko.c(+ty1 hcz;js6ry rate.

  Liquid flows through a 4.0 cm diam;-.xxlc ) fxs4xng)gnqj/ 4 lfeter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in4x )/fjggx;4 xsxcqlf).nl- n the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontap:sg(6f cs+s(h ; ttkgl 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 ipsc1(a m+ rgl(1n9dgx t take for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the pumpxg+9s prag1cdm 1( ln(?

  A hole of radius 1.0 mm occurs 0d yf 1.3tm bduqqf+oait8s:.in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow out of 1.tdy.uisqt8f f3: q0boadm+the hole?

  Water flows through a horizontal pi wkvzxqmo o./88 8ey5spe 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. 0dhgo;se sw k:k1w0m khx f;j,2-. xngqgok -8 How 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 the neck, and neglect any drag effects due to the uppf: 8hmgh0e w,kkdnsjx wo;2x -1gg q-.s0kok;er part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an x) s qtv6gkxg 6:s0o/yartery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increasokg:x yx 06/v6q s)tsged to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water.:m* p0zfe,my;sor *bs Tube A has twice the diameter of tube B. If w:pb*f mmr*z,0ss;eyo ater rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0mgw xdu1xru/c(aqv e-)v 32 0g.073 N/m. How high will water rise in a capillary tube og -2/ar31m ve uxq0gwdxc()vuf diameter 1.2 mm?

  232

  To what height would water y ajskzo7pi703+hc;j at 0 degree Celsius rise in a glass capillary tube witzsa7+oj hc0y3p7ik;jh a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water n;:vi,d/tntuo an/v;s. (qh nrises in the tube to 4.0 cm above the level of the pan. The surface tension i vtthoan;qni;/n:/sdn( u, v.n 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.r k--fx wxq fg31/:aol600 m with a soap film r- w-x/ox:q3flk1afg formed within its confined 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 cm0 nytmbh2 ie;4a f0hd,/mge*y, 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 work is required to move the adjustable long side so hgya,i2;d4ye*0 hb tfmn0/e m that the frame is 12 cm square?