The three common phases of mrh y87oa77 opoatter are

  Density is

  Substance A has a densk0+i:hjw oc9ldcq9xovo4n3 ,ity 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 i1xrev(bxtm5im 9n(le i*: po6s not a unit of pressure?

  Consider three drinking glasses. All three have the same area basop5 0 w+ h2-o vimyc prjg,50mlusc9t6e, 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 A5h05 pj0s vc + y,pl2 c6r9iowgo-tmum. 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 calleqq w z+sp8-xa**zk pby6r .;jed?

  When atmospheric pres9sxb )z8nv1zq sure changes, what happens to the absolute pressure at the bottom of a poolz89q)bsnz1xv ?

  You are originally 1.0 m beneath the surface of a pool. Iov/j*8ehgg* veqs 5a 4f you dive to 2.0 m beneath the suo5*vveje/g8sga q *h 4rface, what happens to the absolute pressure on you?

State Pascal's principle e;25w0v pf,tm .u5nawwxg6ze .

State Archimedes' principle. t z-8nb*2vfs3krb-t k

  $50 \; cm^{3}$ 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 hy ,fni2kpp:dzintgg 7;g/8 d9n-z l5eappens to the buoyant force on g 8 /d-ie,p7pn;gl:ky 5ifdz n9t nzg2it?

  Salt water has greater density than fresh water. A boat floats in both f ,:dey)t5wy8w vz u*cjqij 7r8resh water and in salt water. Where is the buoyant force grea)dwqj7rziey 5uy,tv:*w8 8cj ter on the boat?

  Salt water is more dense than fresh watep u q /.3ebyx24k;rmzmr. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt weur xm42ybzm/.p q3;kater is

  A steel ball sinks in water but floats in a pool of mercury. Where is thsi ca,t1* 8az5h*tfnxe buoyant force t ix5nca fa8t,**1szhon the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-piuo6wi yv69 ;buo x*2kg piece of lead. Which has the greater 6uoo29iiu*x6;wvyb p buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bath+jm z i aqm2jsgf;6u+xv* c/)gtub. If the iron is *m)uxg+f6 + jsi;m zqavgjc2/removed from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A9idr (jfoiyi0y tw:k+s.97y q 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 happens to tj9i +9sw7(riq .tkfdy :yy 0oihe water level in the tub?

  Water flows through a pipe. The diameter oij gn:)g*t 0bcf the pipe at point B is larger than at point A. Where is the speed 0n:bt)g* cj giof the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widensmtft 60tan:c3hk xh0 , to twice its original 0k,fhahx cn0tt6m:3 tradius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe nar3iy :6 g zjq*9g qnwt)quse5e:rows to half its orig3:wnu*gj qiq 5t )9z egsyq6e:inal radius, what is the flow speed in the narrower section?

State Bernoulli's principav5y-c i y9jf8le.

  Which one of the fol i+we x2s(upf- t,j..y/5sm:4 yvcco ddw6cyvlowing is associated with the law of conservation of energy c(ousyfd.v:6ic s -te,2m dxy/4ww+ . pc5jyvin fluids?

  As the speed of a movhv( l 0dyx qvm;41svc4tj8rpyyj ,-x7ing fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger tc3 1x5rz9o jbbhan at poinbx3r czjb159 ot A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is bu-u4xd 4n)rym 6g .wcub j9ts3ecause

  A sky diver falls through thes/(5)q wq tpks air at terminal velocity. The force of air resistance on hits (ws)/5 qqpkm is

  Two Styrofoam balls, of radiiwz2k7at .wp+g R and 2R, are released simultaneously from a tall tower. w 2t pkg+az.w7 Which will reach the ground first?

  When a small spherical rock of radius r falls through water, hox:s9mg(qpw )-xhp9 it experiences a drag forc m ow:px9hqhp-(gx 9)se $F=arv$, 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 thh i 0(idn(yea7;ix j:./iqs yye flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantiti7:q0ahy y (ixne y jsi(;.i/dies below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same lkc5pd b1mr7 r;ength, 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 lengt15 kdp r;rmcb7hs 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 diameter, but pipe B is twice as long z sar,bm/2j11zqw hu (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 fl qsa (2wm1/,bhujzzr1ow rate in pipe A?

  When soup gets cold, it often tastes grenia(ei;s z w0k7 uqtqpt2fzl4 56 o0-basy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little glob 7t4i sf zq;00qilo-(5 b6akup tnwz2eules. To us "physikers", this is readily explained in terms of

  When a tube of diameter sxtd ae ,2 f(naxe*t73d is placed in water, the water rises to a height h. If t72dxe *teaf 3,asn x(the diameter were half as great, how high would the water rise?

  Certain insects, such as the wamuej /1sb6;xmter bug, are sufficiently lightweight that they can run on top of water without breaking the surface te /msmu; bj16exnsion. 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, etc. What is the weight of bug B?

  Certain insects, suchmnnsf3 0imtwqgc 95+ .* at;nh as the water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. This i.* n9mfwm tc ;hqg0 5sn3atni+s 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 dimennbq+r2;1 cwyxsions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is itsb+q; 1x ynw2cr density?

  A liquid has a specific gr6.hrh.v47t ed9 gn vc+/rkynyqf u+4savity 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 mar +jgev1w na8 r-v5:gfximum pregfe1+nvr8g:-5jrvaw ssure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshopne 6g d,ugd kbit 0yw81;34awpov p(:e has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth ofqor-(0 lh a07jf3izql 120.0 m inz7-i0hj(q ao lfq 03rl the ocean?

  A circular window of 30 cm diams3i ,sg.x*1ok v ldx;ig o;/ u.8uomiueter in a submarine can withstand a maximum force of i.u8s i;dk;.ugl1soix,o3v* /g u mxo$5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge presexc+1y v;e8 8fno-arnsure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of pkn h):y;.em v2 h.emssea? (The density of seawa2 ..e mk;ne)ym:hhvp ster is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m bw u45o-bb ha7-isomq -elow the surface of sea? (The dwais-obo57bu4-h - mqensity 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 pisthw5cy 1 wly*k0u v3frz53mcm +on has hf0m3 m3cyr wk15u+zlc *w5vy 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.(worhk 7w+ pz:0 cm and the large piston has a radius of 15 cm. Whzkhw+:w 7o (prat 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 /jf8jt czy0mb +09jpr pxd. )u25 cm diameter hydraulic piston. What force needs to be8pjj t0rx/9+yp )bcm u0z.jdf applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hy y /fih()f .4fzrdocttw75gte ,yq-.mdraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15)/ qft.7 teyfz4hmwdr cgyo-t if.(5,,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 3xor,qk.x k 0snfr+e(+0 N in water. What is the buoyant force of the waterx++kr( ren,0xkqf. os?

  An object has a volum1vh .lnwl .p6we 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 submerged/uz 2wz 5ssbwi,y(c6t in water. What is the tension in the string? (The specific gravity of iron z6tzb u(wys i,csw2/ 5is 7.86.)

  If the density of go e4n.tl xw l2-9 cppl0el;g)uxld 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 gb2t bbb- o7cc64zoq1 submarine (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 an0 z 740eguoetg2wc4dw,nr*ji,g0ep wd 6.86 N when it is immersed in water. ww7e0 pe4no ,* uj,wi2z0gcr edt04ggWhat is the specific gravity of the object?

  A container of water is placed on a scale, and the scale ee y.-/sz5 wrxreads 120 g. Now a 20-g pxee. /zs5r wy-iece 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 of 1.0 kg an2m .rd0hphpwr:0sdd : d 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 float h,fr(: l)y h obk7pv;tin water. What is its mass?o,7blhrhy( vt f;) p:k

  A rectangular box of negligible mass measures 5.0 m lodtob90 ib qj b5/1m(rcng, 1.0 m wide, and 0.50 m high. How many kilograms of mastb9dmqi ( b b/j1r0co5s 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 hala d3vf1c0iyc-q nb/ 3li 9j7ezf its volume beneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight oqadl3/e1cyz3i7 vjn9bif0-c f the object?

  A solid object floats in water with three-fourths of its volume beneath the su0, sl b, ephyzoc ,)fuc+f3v2xrfacesofh +3 u)2ev,,c lzypfx,bc0. What is the object's density?

  A 200-N object floats with :ckmqu5hm gx1v* 9c 1erzt9 f;three-fourths of its volume beneath the surface of the water. What is the buoyant force on the object utfk :g r5mcmc1v1q;z e*9x9h?

  A polar bear of mass 200 kg s2a 8crrfihev , 8kl7d6a9ane/tands on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity 6aa,k7 /lvnehrf icr8298aedof ice is 0.98.

  Liquid flows through a pipe3s+yy wx/ fkfxc 8j o9c29:pvg of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a(q5 -4haad n0vuebbya(--lrf 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What ivbhfr4a0yn qu -eb a(--5l(ads the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pip)gug4-,7 +mv ujdhnmre 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 ito. t:.g8sx ahfx w9g5e take for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the pu9.gt xx:8wsa .h5fo egmp?

  A hole of radius 1.0 mm occurs in the b;ggs* fo*r8ex)ey 4 2m8nsiy gottom of a water storage tank that holds water at a depth of 15 m. A8y*snf4eg yxrm )2esi8; g*ogt what rate will water flow out of the hole?

  Water flows through a horizontal pipe7ft+dr va8ge7a ktpl zt+mc)o1 *f5r9 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 Pn p f*stxf5oam7.;t 3j b+pl*na-s. 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 diamtn;f3+snox.*t bp f7a*pjml5 eter? 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 artery decreased 6k u7)9ai ub9fue-ms1elr lk2the radius by 10%. By how much would the pressure provided by the heart hava 1u 2ek)urfsll u97bi9e6 mk-e to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of watexx,akh +-wo9sbp6 ;xur. Tube A has twice the diameter of tupkb usw9+x, 6-a; oxxhbe 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 waternp7csj2hv 2 (x rise in a capillary tube of diameter 1.2 v2sjhn c2 xp(7mm?

  232

  To what height would wateri93,qvtj6y3:nl-oi b ( xi ytr at 0 degree Celsius rise in a glass capillary tube with a diamevlq36i,bxio-yr(: y 9t3 ijtn ter of
0.50 mm?

  A narrow tube is placed vernfdplgao;*f72v(g 1e tically in a pan of water, and the water rises in the tube to 4.0 cm above the level (gfe7;d1n2f*vglapo 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 tube?

  Consider a rectangular frame of length 0.120 m a+uao. ;j5 uqh w+9fco :mki3npnd width 0.600 m with a soap film formed withi 9w n+hq ;uio:j+ .fmoa53cukpn 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 cm, and is builtpr- c:*6u1l pm/ epqpz 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 pmczu/plpqre6 *: -1pside so that the frame is 12 cm square?