The three common phases of mat9la5egg t1 .mster are

  Density is

  Substance A has a densitz9gqm2ev80k/ kst kx1y 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 no wjzki*b(0q*c32e ;uig +ow/u4 ayc jpt a unit of pressure?

  Consider three drinking glasses. All three have the same area base, anpu7/dm r ;oiu cg8hwuh4;k.sj- +t2v;)xugc p d all three are filled to the sameuhj x h;-gu8od m7 i;t+k2uwg;/cprv) cus.4p 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 bottom?

  What is the difference between the pressures inside and-(ux .ouiagwmo: zt 9( outside a tire called?

  When atmospheric pressure changes, w/o9hi5gvu. bw hat happens to the absolute pressure at the bottom of a pooghw.b i u5v/9ol?

  You are originally 1.0 mu 7ka*v+6 csoo beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens o+as67 *uovk cto the absolute pressure on you?

State Pascal's princt6qdht;23 gtsiple.

State Archimedes' prk,wg f 1x:h/f8e 6ditqinciple.

  $50 \; cm^{3}$ 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 keebflcrq. q34x /5cymm-at637 p)ig , what happens t)3emib5 y p 6cga/eq4 rf3tkxmq lc-.7o the buoyant force on it?

  Salt water has greater density than fresh water. A boat floats in both . al+5)1qrrv9 ecjxqm fresh water and in salt water. Where is the bra+9.m1 xlje qcrq5 v)uoyant force greater on the boat?

  Salt water is more dense than fresh water.z 1ksxse0. jdg/v:h z5 A ship floats in both fresh water and salt water.. z:vgz/0dsj1sekh5 x 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 t2 0 *umtx cod-*+ ouyrmx+i5gvhe buoyant force on 2oxmxd-*yo+* 5r+u0gutvc mi the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right new1r+1 csy/f qext to a 10-kg piece of lead. Which has q1 +esfywc/1r the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood frc(j qd0h.ky-loating in a bathtub. If the iron is removed from the wood, what happens to the watq h.j-0k cy(drer level in the tub?

  A piece of wood is floatt/vut8, u ,qccing in a bathtub. A second piece of wood sits on top of the first piece, and does not touch the water. If the topqt, u8cu, v/tc piece is taken off and placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameterl )sdn..ny d5yl0gx( h of the pipe at point B is larger than at point A. Where is the speed ony0l.y l d5)n.g h(sdxf the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. I v7m9 z7 l9ywka;yy947yrti3vwa gm9 df the pipe widens to twice its origiz7w4yk3mvd7g r79yw9v m 9y;a y9tlainal radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in 2wlz z+m+8g8vtnezw4a2ou 6h a horizontal pipe. If the pipe narrows to half its origiwelmhz6a+v uztz8 22+4 w n8ognal radius, what is the flow speed in the narrower section?

State Bernoulli's principlkip pykb81;4i e.

  Which one of the followin7fnp nk/98f i+yt9dsrg is associated with the law of conservation of energy in ftk+finnsr9fdy 87 /9pluids?

  As the speed of a mov; flfcma q;( b,4 *8wyomn*cjting fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larcn pv 6mer+7(nger than at point A. Where is the water pr e76+(pnc vrmnessure greatest?

  When you blow some air above a paper strip, the paper rises. This is 7wv )c8m8u * 7uskpntybecause

  A sky diver falls through the air at terminal99,t rv otrs-e velocity. The force of air resist9,rv - etrs9otance on him is

  Two Styrofoam balls, of radii R and 2R, are released sim ;qiy 9p*djx7l5k+ihu ultaneously from a tall tower. Wh+ 5j97quykhilx;ip*dich will reach the ground first?

  When a small spherical rock o9pgfjf3p4p q6 b4n2a ysl2 +ocf radius r falls through water, it experiences a drag + 4afl29p 63fgyp 4q bpncjo2sforce $F=arv$, 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 effectezk gqa0qeid5(i 46z(ih: 7 mo on the flow of fluid 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 flow :o qi7eazik(4 zq6eigd( m05hrate?

  Two horizontal pipes are the same length, bvm 0s)t12b9uiihh; o xut pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengt hu0so12hi9 ti;vxb m)hs of the pipes. If the flow rate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have xi( ;srl wb dv ++ wg6/8ozj67ifim7.sqwqvr6 the same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes+.q6;r(o 6mwxq6lwsziv8/vidj rg 7 f w b+7is. 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" tasd)*z xn8e eec(te 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 ie 8xnee* zd)(cs readily explained in terms of

  When a tube of diameter d is placed in water, the water rises to a height 4y *h uf0bbhm6h. If the diameter were half as great, how high would the water0 bbmhhu* f46y rise?

  Certain insects, such as the*t+cduf 9li4 g water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. Water bug*lg4iuf cd+9t 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, such as tl(xg c/xa.2bhy lg,e746 a bfnhe water 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 bxla(xg y h b6.l ,fc4aeg7/n2surface 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 dimensions 2.00 cm x 3.00 cmc8 h7xwhya31fs4 a l8e x 4.00 cm has a mass of 30.0 g. What i3yl1e8hf74a haws8x c s its density?

  A liquid has a specific gravity of 0.357. What is it b72xix- y4oejd)6 ++vord ucqs density?

  A brick weighs 50.0 w - gx5-shlg1rN, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal lrx-g 5g- hw1ssurface?

  A person weighing 900 N is standing on snowshoes. Eact4(jt0p 1v zkgvl 9lty.l4.qg o7kgc;h snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine w e)lm6qjm-5f 78nx jjmh,8dbtjc wq( ac5 y0.mithstand at a depth of 120.0 m in the ocean?yb7ntj8(5qm.)mm 5d,c0x lhef -a jwjq 68mjc

  A circular window of 31(cbyy *tnnu k6 sd( gezq9: -(r3mshn0 cm diameter in a submarine can withstand a maximum forcey 9sbyqmgnrs1: 63* (nd czneu(kh-(t 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 gkg t7keom+y-q ume1s9 :q5)q the absolute pressure is 300 kPa?

  What is the gauge pre dwe1c 6,3kiftssure at a location 15.0 m below the surface of sea? (The density of 1 ed3fc6wit, kseawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a loca yo84+w-zapmp uy hy*q waa99:tion 15.0 m below the surface of sea? (The density of seawata9m zu*y8:o yp w9a q-a4yhw+per is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hyt;r- 9k2jtbr zdraulic machine. The small piston;2- zt9krtjbr has 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 ,t 72kk mg 0+zf cztqe,fjs8a(5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order t8 ecja72 tg,z mqftkf sk(0,z+o 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 hydraulic piston. Wha/ dl23kcipoaqq(4k 2:b9ft not force needs to be applied to a 5.0 cm diameter piston t:k 4o3pbfqlt(29d/2kiq cn ao o accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and idz*nuz).v0)lgz ap (xj1o0 shlncv ,3 ts large piston has a diamev0adsz j. xzv(u*o3)c)1l 0,lpz nhgnter 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 air and 30 N in water. Wh8alur) .m- 04brxzy lhat is the buoyant force of the watemu0lz8h y-r a4r. )lxbr?

  An object has a volume : lg5 jjvb6*qeof $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supported by aissyh(bmeob:7o6n7n* :g +a q string while submerged in water. What is the tension in the stribsnm7e7b: o i+(ayhog*nqs:6 ng? (The specific gravity of iron is 7.86.)

  If the density of golypz,fob;*o zmg 09 pm-d 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 (densitu( : ba*cq)9 egnpes/jxz *bol1d34a sy = $7.8 \times 10^3 \; kg/m^{3}$) 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 6.8dz1yl2-g(llv 6 N when it is immersed in water. What is the spec- g1yl(v zd2llific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g.q v)+3wptn mp( Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread anvq)mw(p t+n3 pd 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 ofwfb.:saf v7(+( wns n6 ahio0z $2700 \; kg/m^{3}$ 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 qo(b:/c(ro*,xy9hc j ,bx hkiwill just barely float in water. ,(c 9c/*xyoixbhb(:rjhq ok, What is its mass?

  A rectangular box of negligiblkymk 4e+d v +lj2/y7fle mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loyl ke fv4lj7y2dm+ k/+aded 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 surface of the water. ;tf5vmeq2j)6irk oy4pfhby;k t/* r(The weight of the di b 62y5hrpv( t j/kkt) eff4myqri*;o;splaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourthsk*2emz (hnngk0)5l 6yqpnxw-b n o.y0 of its volume beneath the surfkn0ne*yx-b khwmq. 65) p l(z0yng2 noace. What is the object's density?

  A 200-N object floats witm05hm1k5xhuq:a d qp2 h three-fourths of its volume beneath the surface of the water. What is the buoyant force on the obj2ad1 hp5mq50 :kxumhqect?

  A polar bear of mass 200 fieuxc4max 786 m(vg7kg stands 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 of icmiu (68g ev4xxacf77me is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. F w)y*tu7np nq.ind the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s.p y 3j9*ko8hde There is a 2.0 cm diameter restric98 pdh*3o ekyjtion in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontapujq/u qhs37*lxi .)nl 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 pue()s y61d ffldfnt 9c8mp to supply a drinking fountain with 300 kPa, if the fountain is 3f8slf)9ydt16ncd ( fe0.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storagw p1gs9xexo k5blszs 5h4h-,-l ymy-5e tank that holds water at yexg1hb,5olz- pm4k 9h5s--s5 lwyx sa depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-gx.zukt ct oo:4;p6( 2nor -gfkd+g +;grjd 6nsectional 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 Pahg6/iza 6(ji5nk; xvr-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 diameter? Assume the surface o5/6n(iijz ;x6khgrav f 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 w0-k8r7* rvyiy r g bua8:tlnv+6l4z wqall of an artery decreased the rr 7g+r88vzlay q *6nl 4tvy:rb0-wiu kadius 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 aa l- k.s 2tjt+vsh+fm;)yl rd1zqhy-rb2s38w pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will ikqstbha vlrh+ 8srl f ys +y-)t22;dw-jm. 31zt rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in a :-xi 1*c+doayunljq) vg8b .5peuah) capillary tube of diamete v )-8i l: ayd5+bpuux)a c*qhnog.1jer 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a g zsu5khbr3*c2u9w8c:qzqp2 w-d c 8 tflass capillary tube with a diameter ofhtrfqw253zuud9w82c zq p cc:k b*s8-
0.50 mm?

  A narrow tube is placed vertically in a pan 5 xt ea1lgf hl,(bw9ywtdp ;,o*nzb2/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 original value by the addition of some soap. What happens to the heigw*f9p tg;/z52l,(ytwxb1o ,al hde nbht of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m atl5m 4 rt9mr1s scw+xtyux519/m/t:poh6w v and width 0.600 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 does the soap film exert on the 0.6001r vuhyl5xot 9 m6mwsw scmt1t94x/ p+/r: a5t m side?

  An adjustable rectangular frame has length quq1i6+7/h sl+ ywlt1yct k z912 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 sul+s 6lq1th7 zwk1uqyty i/c9+rface tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?