The three common phases o.nkhbt0i a ;l/jqqr6t 7xzl520e0lfmf matter are

  Density is

  Substance A has a density of kg:/4eh elk 1fbw +opuod1.3l 8ejqz6 $3.0 \; g/cm^{3}$ 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 pida )b ne/nnz5.jhe(/ressure?

  Consider three drinki1u3a -wult1 utng glasses. All three have the same area base, and all three are filled to the same depth with water. Glass A is uw 1 -tl1a3uutcylindrical. 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 bottom?

  What is the differenfenz r71t:xwu1/ i ;knh(e-boce between the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressuo x qd)e5:iy j)j o0xs*naio6;re at the botto5))e0iyoi xa6 dn;o *xo q:jjsm of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 3m/c s0ku n++ahaz1qgk 3kz8 im beneath the surface, what happens to the absolute p30iaz +m8 kzu na+qshg 3c/k1kressure on you?

State Pascal's princi*utq rz4)k)fj blmj06 ple.

State Archimedes' principuro(b0 *.sxwc spx :f+le.

  $50 \; cm^{3}$ 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 v o:nrk6q hv,wx ll53(of constant density, what happens to the buoyant force on ivrnw o5lq: 6,lh(vx3 kt?

  Salt water has greater density than fresh water. A boat floats in both freshn5kt u5sru8k)9 k7tcc water and in salt water. Where is the buoycru5)58 9k7 utsckntk ant force greater on the boat?

  Salt water is more dense thn;i9apnv hnhks5p3+4k+d 8j san fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume ofkhp+snpjh n s+ i5; d9kv48an3 water displaced in the salt water is

  A steel ball sinks in water but5 i xh flm4xp6-s;3a zk cxxb0:jeir7/ floats in a pool of mercury. Where is the buoyant force on the ball greah;3s5k74izxex 0 f: pai 6-brjmcxxl/ter?

  A 10-kg piece of aluminum sits at the bottom of a lakeeo2ye nlmp0a0qzes 5f3-: w:k , right next to a 10-kg piece of lead. Which has the greater buosq-y0 m02eenkfe3w 5o:ap: z lyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If c. ax ,p( k5;hcjgh9qfthe iron is removed from the wood, whatghfc,h .jk p(x;qac 95 happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A se17 ea gvq5oxrg) 00tbccond piece of wood sits on top of the first piece, and does not touch the water. If the top piece is taavc 157x0 ebr0tg)og qken 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 larger than y825otdtf v 3xatf8t2 5dovt x3y point A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widen2b4hu9ejla6 4 vt:srvs to twice its original radius, what is the flow 442r ebtsh v6ul9vj: aspeed in the wider section?

  An ideal fluid flows at 12 m/s in a horizont luna5 ,:mq1+gtv2 fc,crv+omal pipe. If the pipe narrows to half its original radius, what is the flow speed in the narrower sectiocaucg:f mq, vl+ v1rm+n5o, 2tn?

State Bernoulli's prwgvhc0hy en3s p+-h:* *m/pd einciple.

  Which one of the following is associated with the law of conservation of enbb* nqk(t1rv8ergy in fluids?tb( q*rv8b1kn

  As the speed of a moving fluid in ezks b8-8mbix 0 rxt;6(1 sqxrg6)knwcreases, the pressure in the fluid

  Water flows through a pipe. 9a bm,msd0. gjThe diameter of the pipe at point B is larger than at point A. Wheremgjmd,b9s0a . is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises.h),3hs vhp8zv This is because

  A sky diver falls through the air at terminal velocity. The force of ai;0oirm(bahvq qm; 4q6x7 z xq;r resistance on him xommi764x ;0qq a(qr;b q;hvzis

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a talle*gm ryijfa1 v5 5oeo 9ii-v,5 tower. Which will reach t5oiao,if rme-v1g i*je559yv he ground first?

  When a small spherical rock of radius r falls through water, it experiences a8c zhg,z.yh7j.+inpj dr gyzjh z.p87cnji, h.+ag 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 fluid through a narrow pipe? That qm*+bysi;1) gnvw;u a is, if you made a 10% change v1iy; sw;) a+qu nm*gbin each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are theqhk 5cv/.txd tb 22oyp.1omow,,a fo, same length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across,,oa t2 b.2omc1qxyo pvfodhw ,5 /k.t 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 diameter, but pipe B is twice as loc m594k,qq,oqzwpo oqx*5o0s ng as pipe A. Water undergoes viscous flow in both pipes, ooq5w0q,qxk,oc4p zmo 5s9 *qsubject to the same pressure difference 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 "greasy" ta+jmtb n+2-3vyr5o io/uq bi5tste seems to be associated with oil tim5byoqj t5-u2/bv i+o+3 nr spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the wat 4+az y(;ia67mrsd r-thwfr e+er rises to a height h. If the diameter were half as gr ;7srr+ie mf hrtwd64+ az-ya(eat, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight /)b/j fs .zrcmthat they can run on top of water without breaking the surface tension. Water bug A has weight s)z/f jcm.r/bW. 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, such as the water bug, are sufficiently ligh-1* iuxd ie5skto,n 1yrvglx ah.802mtweight 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 dimexixsmgv*ea,1 y0 d8 hru1.ok ni-l5 t2nsion. 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 of xd *mua +gyqn da)b/c;4h/fm/30.0 g. What is its density) *acb m;m/afhu4/ + /xydngqd?

  A liquid has a specific gravity of 0.357. What is its densith5o; i1pg kc6cn 2tz4fy?

  A brick weighs 50.0 N, and measures 30.0raqj4(bv j*-p+umrz9q7 .f:;f ahrj w cm x 10.0 cm x 4.00 cm. What is the maximzq arrp7j;- qrwa+vj.*4 u(mj9hff:bum pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe ,zay:,j,vpk2 uvn sx :has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) musoc8buhe7dxo u/24pg5 t a submarine withstand at a depth of 120.0 m in the oceancg 7o52eb /huo dx4u8p?

  A circular window of 30 l.n qrs7,* sus5(d ourcm diameter in a submarine can withstand a maximum force s(nr s7u5ur*o,q lds. 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 thed vy1o;(s qd+d vbv.wm.lmct8 22sda ; absolute pressure is 300 kPa?

  What is the gauge pressure a)t4q0wet yg atkiu 3* ;zc8px7t a location 15.0 m below the surface of sea? (The density of seawatcp38z0a4 7*tt k txiuw;yq) eger is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 su:0 ikg0vnca lj7c93m below the surface of sea? (The density of seawatca ni0 3svkjgu97l 0:cer is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hn 2(1aex r 4j/lmjqv,pydraulic machine. The small piston has njemj 2 1r(la,p/xv4qarea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small b -gsasrf;.h* piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. W*fas.s- ;brhghat 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 b.9fs0p cuy mbmgdywdmm )8ys11v15 o 6y a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accc69yo0u) s.1 dmpv wm1y ybdm58sfmg1omplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its l9)ibyy nb6yj )7)rsilido 22zarge piston has )yj)rl boyi)z2n ii s6y7d9b2a 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 40 N in aif0lf/c ;.n qnkr and 30 N in water. What is the buoyant force of the /c0kf .ln;fnq water?

  An object has a volum8 -k v h9,tw:unyl+umme 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 submergedjk1c0fc8 mvpx 7, c(ic in water. What is the tension in the string? (The specific grm0xc8(7 1kpcv,c cfijavity of iron is 7.86.)

  If the density of gold r37g3 lyixw3.pagz6y g q6 *zf 6xa*s t(9xuacis $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submaro7jl jg7ei)m.pj4/ 2 yw(xmpf ine (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 it is immerstgk;e. x5f g.vxqlk2 /y7sg+red in water. What is the specific gravity of the ob ykvxs+ gel5;r/ q.f gk2x7g.tject?

  A container of water is plafcpa)0p 59;mzg j./rt;z tmux, q eqn:ced on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the water, noq0c5t)gtj9x; m :p.pqu;rzz,m af/ent 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 of v(,+dww rjad0vj n;2 j$2700 \; kg/m^{3}$ 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 at3,4eth0gw+ 9mcjpg will just barely float in water. What is its mass?jt gt9w3eam c,4ghp 0+

  A rectangular box of negzxiitqxe8p*f :x )34,vdc 7g gligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilogrfdggv8q ,pz )3*ci4xix:xet 7ams 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 aa g8(+k/x j uwkjrad)2y55lrvolume beneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight85akw u (/)x5 y2arrjj k+glad of the object?

  A solid object floats in water with three ,fp85g).e wwmp+q5kvaokd 0u -fourths of its volume beneath the surface. W edm,)qp.+g poufvk80k55w awhat is the object's density?

  A 200-N object floats with three-fourthssvua1 am)g.x3:kva-v 9 m4 avw of its volume beneath the surface of the wataa.kua xw1a gv:v9v 3mv )ms-4er. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 1t* tq, rqie34v00 cm thick. What is the minimum area of the floe that will jut3qqiev*,4 r tst support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of y4go3wanl t e7r.nj,4;kjt y;diameter 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 -sbvnje+- f4s/s. There is a 2.0 cm diameter restriction in the l 4+jbfns- -sveine. What is the velocity in this restriction?

  Water flows at 12 m/s in a hufra(5.lckpzi 4: jh.;aio d)orizontal 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 it take for a pumum7qooqgs4o95 ai );zp to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the pus4az)qu5o mooi;97gqmp?

  A hole of radius 1.0 mm occurs in the bottom of a water storage :7 vopcsq/r 2qw) owly6z0nm2 tank that holds water at a depth of 15 m. At what ro6w:oq qwy /72zlsv0m) prc2n ate will water flow out of the hole?

  Water flows through a horizonta2j/-) o jwxk6ordduu5 l pipe 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 w,s .7v; tzai/j s w*vmo7-i0mxd-u 8sr-pjff qould 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 / ; s -qf--7j w0xr, msu8.timavoiv fpzd7sj*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+k zh/ jw 5c1tzulg5r6 an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to mainj5/51th g6zzl ukw c+rtain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice thes(/ lu/u ww7aj8h9. em0njlda diameter of tube B. If water rises 24 cm in tube A, how high willea8d/m ua7lwh.0nj (j9u /wsl it rise in tube B?

  The surface tension of waterf-b9ai 9bua *b is 0.073 N/m. How high will water rise in a capillary tube of 99*ibbaaf ub-diameter 1.2 mm?

  232

  To what height would water at 0 d:5mt2tp zxd m 6aevl.)egree Celsius rise in a glass capillary tube with a diamet2. :pemt 6x5mlt)d vazer of
0.50 mm?

  A narrow tube is placed vertically in a i2j/59901 5:es3 wufgrtk;shu 3 t zemy dpwkopan of water, and the water 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 u1pmr 0 o:tyk dt9fz3g;sik /w2j3euweh95 5soriginal 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 wi( ivl8;z/d8eb-d hsed,;ii m ydth 0.600 m with a soap film formed within its confined area. If the surface tensz/e8shvd ybid-i ;,;d(e8 lm iion 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 zyk9 w25ey mr0cm 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 surfyr29 w km50eyzace tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?