The three common phas8va-alf alzp vu9h k*ye4r2/3es of matter are

  Density is

  Substance A has a dex8nxn8-i7k p.e6o v crnsity 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 );xjg pg5p ,g/ruzi)q unit of pressure?

  Consider three drinking glasses. All three haisb v r93m0rw5d;m9)70shk: gg trvur ve 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 so holds less water than A. Which glass has the greatest liquid pressure at the bottotm0r uhm gb 9wk)v35g7r:ds ;ir0 9rsvm?

  What is the difference between the pressures inside hfzc 5qqw n/ngk+log6*9j ;3rand outside a tire called?

  When atmospheric pressu q (:ho2y+1khk( jhsxhre changes, what happens to the absolute pressure at the both2j1khx k((yohs+h : qtom of a pool?

  You are originally 1.0 m beneath the surface ohr) mbsq*,p)umw )2e.h 8quxuf a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure )b xmhe2wsh. uuqp )q,r*8mu)on you?

State Pascal's principlef p1.czvnwflu5grlax,d:* .9.

State Archimedes' principlj ,vcbngf/meys jk i(c01-;8oe.

  $50 \; cm^{3}$ 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 cuf jo h6(0h)gvonstant density, what happens to 0 ufv o)h6gjh(the buoyant force on it?

  Salt water has greater denn1i; eduv(e1c (ynp7 j*cg ro3sity than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the brc p7 ig*ny j(ovnduce131(e;oat?

  Salt water is more de b8i,budbo56rn.8lm qnse than fresh water. A ship floats in both fresh water and sal,u65 lr.ib bdq 8obm8nt water. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in wa ( )na jih)xey-76s ao9qde4hbter but floats in a pool of mercury. Where is the buoyant ()andb aoe6)9hi-hyxe q 4s7j force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, rpy fd/7utcg g2. bn*omad s31 4q/1wzhight next to a 10-kg piece of lead. Which has the greater*b 7w21 s a /q4cugp.1d/zoyhtf dgnm3 buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. Iz(z7 3w-m -ts4ehkhwff the iron is removed from the wood, what happens to the waz(-hw43 zsktm7-e h wfter level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits on top oy k2 d3e (t;neun/.yepf the first piece, and does not touch the waterneyee u t;(k d.y2/p3n. 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 B is largerhru gcoxta de +xx6 (91to58su 0-4xna than a(x -dc nerh t618x9aus40xx+ oauo t5gt point A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a (*t*ro) yd xvyhorizontal pipe. If the pipe widens to twice iy* rd(x)voyt *ts original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows to hgxxfia6 px6r ,69rw.vn3ox d 5s52oh jalf its original radius, what is the flow speed in the narrx hx66o5 x 63jgsap xo52rdfr.,vwi9nower section?

State Bernoulli's principlefs)sqowrg -r410s6xr.

  Which one of the following is associated with the law of conservation ofn sbt;ht44-e+/u wqnt energy nn/-ewt4tq h+ b;u4 tsin fluids?

  As the speed of a movingi** wcq (twa3x fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at poinseia(y b,r9v43lxn k1t B is larger than at point Av(a9 y,l3ex ik14sbnr . Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is upy1enof 2m8ef /:2b/vh mt y6because

  A sky diver falls through the air at ter p6w d/m6+l6dv7i7gul 5usczn4s lbk8minal velocity. The force of air resistance on him in5s l c+746ib/7ldm us6w dg 6zlvu8pks

  Two Styrofoam balls, of radii R and 2R, are released:w,qlz3 gcqx s3j vnp;*-kf*y simultaneously from a tall tower. Which will vy g, :qk*s; jzxq3p3*fw ln-creach the ground first?

  When a small spherical rock of radius r falls throug(+)r-y ekpq y45n;0zvtv um gzh water, it experiences a dr nkzg ;v yz5em0-4ry+u)v pt(qag force $F=arv$, 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 flp+x6:ssqrwqh o)e.q 2uid through 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 h 6es+.qwqp:q)xr os2 flow rate?

  Two horizontal pipes are the same length, bue;** htg1lcoet pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengh et; o*1ceg*lths 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 a );n4njiwhj3: r/j so99ziu,ul 3qr btwice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across theoi)l:haw uqz 9n93r4j, bj;u/j i3n rs 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. 4kl,j 1y1o3q;0dztlapx3jpwr,bl* w 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 readily explainedjz4qw,jrp1 b k a0xpt;3, *l 3low1lyd in terms of

  When a tube of diameter d is placed in wate 3fm91 p:atx6bzwxs m+r, the water rises to a height h. If the diam1m :p+w 6zbtfs3x9xameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficientrp3wdx z.k:8s0s ykirs3d3 o jdj5g4 2ly 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, etc. What is the weight03rdky.z2i8k s5 :3s roj3ddg j4p wsx of bug B?

  Certain insects, such as the watez.lw;psvy55z2jpd m1l9/ li wr bug, are sufficiently lightweight 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 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 twicwy5p ws1 j vz /;2.dz5lipmll9e 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 of 30hily)n6 2s. q, ,ocnyp.0 g. ls),.y2, n qpyi6hnoc What is its density?

  A liquid has a specific gravity of 0.357. Whazd hz bq:2zq ovaw49: 127hxvct 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/v))m77 enwk)k*b c31*v9pnszlye2rtf cy vb maximum pressure it can exert on a horizontal sur* c p es7vbw)l/7ykm3ynt 1ekr29n )cz)v *bfvface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe yp, 9)ntn ;dyohas area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (ag-ocgzb/87z;2u6z( xquwunfh (i +pfbsolute) must a submarine withstand at a depth of 120.0 m in tpb8h(qi 2w g;ug-nuzz+cf /6 7( fzxouhe ocean?

  A circular window offzna6ay; 4n;r,a - spu 30 cm diameter in a submarine can withstand a maximum force offaun 4yan ap-,s ;r6;z $5.20 \times 10^{5} \; N$. 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 pressur ztd:9;.y s p12golecye is 300 kPa?

  What is the gauge pressure at a locaoo:uuh0 3joq )tion 15.0 m below the surface of sea? (The densito:juho )ou03 qy of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15 y)u flxjv.vk4+r54 ai.0 m below the surface of sea? (The density of seawater lk4y)i45rxuva+ vf .j is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydrau :b tdvxmq9+/3iqs/zkxa 0a ;nlic machine. The small piston ha a; bqtm isn9:+ /v0axkzxqd/3s 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 6msvsfq kb 42vd+7zd 2wkf4 *h7 jxr,qsmall piston has a radius of 5.0 cm and the large piston has ak* f2s f+4hxzd4rk7d2 , 76mwbjqvvsq radius of 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 hydraul5a.nszn) pau6 iz/7h vpn/,ct ic piston. What force needs to be applied to a)ac hn 6sz/v.pnznapu/ t57,i 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter o ) bq *2-*6jvoictzydxf 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 1d 2zcq)vti*b-*ox y6j5,000 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 wei)f.y*x,r q ioykd:(zivvj ;v9 ghs 40 N in air and 30 N in water. What is the buoyant force of the w*qdf. 9v,x)yjr:;kivi (oy vzater?

  An object has a volume of2 qlbvxz80 1eu $4.0 \; m^{3}$ 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 subm;(g dif9-iacs v. nud4erged in water. Wh9.s-cag ;i n(u ifddv4at is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold is, ,cfiv yh23doxzo z*gki4:d3 $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submjkz4gl l+8qbsatdgc*1v;mv k) vq6 po8n0s 57arine (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 -kpn9qtnp 974ux2elzN when it is in air and 6.86 N when it is immersed in water. What is the specific gravity of thepz9-2 kqx7 9u tplne4n object?

  A container of water is pla.oidwnb*y7bz zu)) 1w ced on a scale, and the scale reads 120 g. Now a 20-g piece owwz.obyi*bun 1 d)z)7 f 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 and densp) 1iwq1yx 5 yzpb08mx7ww /vclvw p,)ity 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 lenb 1y7qvzui s+..r0 qhzk /o2gvgth 12 cm and diameter 2.0 cm will just barely float in water. What svvuk hqz7q.oi2zy./+b1gr0 is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide4 rzxe56g0 a 7,6ikhkzzuntt5, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks 4r 5izkx6k7tunz,z6g aet0h5in 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 w lg) (m5ka0cpzi s;/ykire :,eater. The weight egaey;r(,5:0izc k)sk/ i lpmof the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneat /bwbvs cf(r*k wy*3z/h the surface. What is thebk (y fc*r 3vbw/w/sz* object's density?

  A 200-N object floats with three-fourths of its volume beneath the su j7lm4thm) bt8,c) ekirface of the watlhj iek 8cbm 4t7tm),)er. What is the buoyant force on the object?

  A polar bear of mass 200bc 96eq *+plot kg stands on an ice floe 100 cm thick. What is the minimum area of the floe that will +qeobpcl6 t*9just 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 2.0iv7eh j7 96hqb 7p.p1bkwh me4 m/s. Find the flow rate.

  Liquid flows through a rlu91f b0c.tr4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restr9l bft c01.rruiction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with wn)cd 1fh m),da 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 -g xi/gcf6 -ajdrinking fountain with 300 kPa, if the fountain is 3/cfx -6gia jg-0.0 m above the pump?

  A hole of radius 1.0 mm occur6)hfy9xa((an xc h/dcs in the bottom of a water storage tank that holds f/hh (y69na c(x) caxdwater at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectiodnh4*px hn71x nal 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 viscos.p ax u/o*/btmcry-n4 /u w.eqity of 0.20 Pa-s. How long would it take to pour 4.0 L of oil through a funnel with a neck 15 cm longqw tyoa .bcpu urm*4n/-e//x. 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-upyzp- 0dbdz*c 6n .e.ka of fatty tissue on the wall of an artery decreased the rady*b.0zcp za k-.6ed ndius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan oa) aga(rm 6paq8rc5 g9f water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it risem a5 acrgr68p(9aq)ga in tube B?

  The surface tension of water is 0.073 N/m. How high will water ris0/ md (rw le9sm;xqwe4s sb*u8e in a capillary tube of diameter 1.2 lqe 90x(4;sums8*b sd/ erwwmmm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary vj -yo1lxc dmx+x+- bg-.cgr :tube with a -g lroyx.v-d +x:mg-cj1bx +cdiameter of
0.50 mm?

  A narrow tube is placed 7kaw7d-,w k xh jhl9i5vertically in a pan of water, and the water rises in the tube to 4.0 cm above the level of the pan. The surface tension in tlh7kaw w7dhxjk5 9-,i he 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 0.12 9d25sqok/ig u0 m and width 0.600 m with a soap film formed withi 2sogkdq59ui /n 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 a8h;8hzrtv* 2s ckjoc+) qhye7nd 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 tensioy88 27o*cv hzc+e);jhhrqtskn 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?