The three common phases of mia00u p/e )/ixfagc: batter are

  Density is

  Substance A has a density 6:exuc vk o,rqu;hc65of $3.0 \; g/cm^{3}$ 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 c/43 hlbizrfvw)p4rf /3ny; yis not a unit of pressure?

  Consider three drinking glasses. All t. pwns c s7ep1rm+j+r5hree have 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 holm+r we57. r 1+cpnjpssds less water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the mt ) zl)x3teh(pressures inside and outside a tire called?

  When atmospheric pressure c 6hkb,isvzd5 6hanges, what happens to the absolute pressure at the bottom of a pood zh,6b5kv6is l?

  You are originally 1.0 m beneath the surface of a pool. If you dive to e 3qtggylz*5fsm9 3d0 zp kd142.0 m beg10mk5g*sd3f 94ze qpd zy3tlneath the surface, what happens to the absolute pressure on you?

State Pascal's principtc+(lorgy5 s5(ug 4zjn;kp5p le.

State Archimedes' princ gaii0s4x1i3kr 32cmk2. egyziple.

  $50 \; cm^{3}$ 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 deepez 3 1e nl0lhfx/2ay(lmr and deeper into water of constant density, what happens to the buoyant forcal3femh(l01/ xzy n2le on it?

  Salt water has greater density than fresh water. A boat floats in both fresh -m(j (e.)bfz)kc6f*t hu vaq lwater and in saek) -ulj(q(vmfztb .6)h * caflt water. Where is the buoyant force greater on the boat?

  Salt water is more de+fi7u )y,hgoo/zyvp-nse than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water,h,+oyuy -i)zg/fv o p7 the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. bk0 .c qktrx*9 Where is the buoyant force onk.9t*x 0kb qcr the ball greater?

  A 10-kg piece of aluminum sits at the bottq 98ni.a 1pph xtcen ztk9v747om of a lake, right next to a 10-kg piece of lead. Which ht98i7 nzk49h. va 1nqpt7 xecpas the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If thhr3clnrl )j,xul8a( 4 e ironna4rc,h(ll3u j ) lr8x is removed from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a brjl2k a,, xl8v+8xj30j elffbathtub. A 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+bfef 8jl23,x lkv0j,ajr 8xl water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at vwwlh8m*t7f lzf3 y69 f )i0zyz5 uvv-point B is larger than at point A. Where is thvy* f w)8 h60z3 ffmiwyvz v9ltz7u-5le speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens yhhn0 c,tvjvt -x); m4to twice its original radius, what is the fj xn,c;-v4myh v)th t0low speed in the wider section?

  An ideal fluid flows aernip8 io15 7*g poq7wt 12 m/s in a horizontal pipe. If the pipe narrows to half its original radius, what is the flow s r7*i win 8oe7q5pog1ppeed in the narrower section?

State Bernoulli's principle.unap ,8 gimt*09:oxcr 8ln t/g

  Which one of the following i/psm 08sce xs 4iqgaa.cv+:s9s associated with the law of conservation of energy in flp i cge.s9v/+aq4s8x: mcss0auids?

  As the speed of a moving fluid incg.da,uga+ i4 greases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at poi*cj o7ve xvpcv2/jx ,wt y)8th ok3mx1/j;r 3mnt B is larger than at point A. Wher t/)e/hvkwxoj3rp;8t*jo,x m27c myv3x1jv ce is the water pressure greatest?

  When you blow some air above a paper stq;x/u1p)y/uz(3fhwfm lw dk3rip, the paper rises. This is because

  A sky diver falls through the air at terminal vel;-cjp:)ffty j ocity. The force of air resista ctjff-p;j)y :nce on him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneous le .2w0f(*xnwnv2va ily from a tall tower. Which will reach the ground vanli0 n2*w xf.(we2v first?

  When a small spherical rock of radius r fal ,pra81ki3yid; phlldd5ae: (ls through water, it experiences a drag : ld8iyad lrhae;kpi(, d5p13 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 f-hnxojp9qkpi8l q-s;p)zh2a6v zu 8aft6k/(luid through a narrow pipe? That is, if you made a 10% change in each of the quantv8n( 6zxlj2 a/p-8hh-qq 9k)i sz;p f6ukapo tities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice ce tf0g(5avp0pj p0s) the diameter of 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 A is Q, what is the flow rate i0vfpc e0as )0g p(j5ptn pipe B?

  Two horizontal pipes have the same f :z- uf7buc0bdiameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subjeu 7fuzc:b0 fb-ct 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 greayd3 jpi6wgs2 m-7xft3sy. 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 explained in terms i-6x2gwfpmy733djst of

  When a tube of diametekp.-d ft1s o5zr d is placed in water, the water rises to a height h. If the dia .-15pfskoztd meter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently ligh*gb( a:,yz*yiw wm q/ptweight that they can run on top of watew :*,byip/ (gmqwzy*ar 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 weight of bug B?

  Certain insects, such as the water bug, are sufficientgp5j7vd t,qxuftu o9sx,.;9 jly lightweight that they cantuus 7jqjvp,ogx;9,. x fd59t 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 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 30.0 gghdx- if h.q4 k4a:.ha. What is its densiah:h4f i.h -dq4 xkg.aty?

  A liquid has a specific gravity of 0.357. What is its density 0wtqn,ja+(ym ?

  A brick weighs 50.0 N, and measures 30.0 cm x z 0nagw/d1gwwo)jbz9ng 4w 72 10.0 cm x 4.00 cm. What is the maximum pressujgbw1n 24 w n0zazw/o9g7)gw dre it can exert on a horizontal surface?

  A person weighing 900 Nuwvcij* ne1hr 7i* g02 is standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine w+0pv ,0.vg mfjheq)sy )p3au hithstand at a depth of 120.0 m in the h vg ,3qyp )+m)j.s0uehfav0pocean?

  A circular window of 30 cm diameter in a submarine can withstand a maximumf7 p0ngzw7-iq force of izfp77gq -wn0$5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure 2h,p +:exer2ly7 ii nw96d lhjif the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of;hdl *s 4d3yan (-cbbd sea? (The density of seawater isb -na(d3ydcbs*4h ;dl $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute w7j (4atd vqa+s v abtw2;(m-kbe8w +hpressure at a location 15.0 m below the surface of sea? (T jqa(sm wba7; 4t2+th (vw+k vb8e-awdhe density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small pistok2zqpl.-xz ogt7,:jhqah 5 m8 n of a hydraulic machine. The small piston has area q:28qh hp. lo ja-xgm7t ,kz5z$2.0 \; cm^{2}$. 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 5.0 cm 6im8:wzuor 6z and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to lift a caz8:ozmu6 i r6wr weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic mrx m w1cimo6+7e-e1wdck.;s piston. What force needs to be applied to a 5.0 cm diameter piston to accm.;c+e6 1dx1o cres wmwi k7m-omplish this?

  The small piston of a hy e5gvpryvuv-vw )45*h3*joxqdraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. Th p 54wg3**h orve)vxq5uvyj-ve 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 weighlrv8l97b lm 3ppi20 hvs 40 N in air and 30 N in water. What is the buoyant force of the water? 9rppl73bvli8h2l0 mv

  An object has a volume of ot naqy1 l s9xf1ur:50$4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of sg( )tp8b( sg,ykvvgw *g+pb ;kolid iron is supported by a string while submerged in water. What is the tension in the string? (The specific gravity op vvybb p* gsg w(;,k8()ktgg+f iron is 7.86.)

  If the density of gold is)pd4i3h jcmi fww(4d6 $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (i rpa2m5ml,x 1density = $7.8 \times 10^3 \; kg/m^{3}$) 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 wak 1 fs(iv7eq :0pncxcp(1fm5vv;bza(ter. What is the specific gravity 5avvs 0f(n 1(qcv71b e fzk:ppcix(; mof the object?

  A container of water is placed on a scale, and the scale reads 120 g. Now a 20-g 5qb (xvss:1yjai 2pg9 piece of copper (specific gravity = 8.9) is suspended from a thread s g21ap iysb9q5( vj:xand 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 kgxpcc /bls(g:x f,my/9 and 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 f1os rc 0)m92n wxxt(vc;qn,hfloat in water. 0hm9,t sv;(2ccnq n1fwro x)x What is its mass?

  A rectangular box of negligible mass measures 5.0 m lyy9r :p md(*wlong, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto t 9yl:w(*r ydpmhe 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.-)q5 ofdfu47ob6ou j h The weight of the displaced water) 7d oobj6-45uhf foqu is 2000 N. What is the weight of the object?

  A solid object floats in water with threefu) .5s vnpyb78apo f7-fourths of its volume beneath the surface. What is the opvnb ap.u7)58f yosf7bject's density?

  A 200-N object floats with three-fourthssc1w.jyx 8 dbd8k9t1o5i p id soq)0l8 of its volume beneath the surface of the waterdxdky 88cij1sb1o 0slqwtpd )oi. 958 . What is the buoyant force on the object?

  A polar bear of mass 200 z e8 ;ohanh6h//avlaet4 1 i1lb,1xnj kg stands on an ice floe 100 cm thick. What is the minimum ; eba ht18j lha/1o v4nnh6x/z,ail 1earea 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 thec70er+ xp b5((wiveix flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2..k, qmvfgu;l;6 5.kq) xgeqwu ,p;wfz0 cm diameter restriction in t5lzqeqv.,u,gmupfqw6gk.w k; ; x;)fhe line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe tg(g;u4zs(.octhr9 am yu,j2with 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 puk fm+1my3zi5x 93z lodmp to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the pump?+3 z m1ikxdl 5fo93myz

  A hole of radius 1.0 mm occurs in the bottom of a watee+rwlhe) c 2*sr storage tank that holds water at a depth of 15 m. At what rate will water flow out o*sw)c2h e+ lref the hole?

  Water flows through a hori+ h2qi*lm4 0gi d *.qm1jec3 kkca,wrizontal 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 would it take to:.f bny )ytf1n 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 upper part :f b1fntny)y .of the funnel.

  Suppose that the buijmkzm54e f*.*w vakbp: gqp, 5ld-up of fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constanek :b.paj* 4 5pmvgfwm*5k, zqt blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the 1n751dcq2r u cya: :qzu- echodiameter of tube B. If watd u1qhnczu:ycr:5 e o1c27a -qer 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 water risey0rmfwvv t 5ji/76 c8h in a capillary tube of diam5vm c7/ i0ywfj vt8rh6eter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary tu80(7se gtjzu 74fx uw(ey ip*sgxx5s/be with a ysij(u(g 5x ufpez4w s*7 70sgx e8tx/diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan -9pe)x dff4sqohv f6t y; 5-smof 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 height of the liquid cohyxsf4std;o- q6m) p9ff 5 ev-lumn in the tube?

  Consider a rectangular frame of lenjzy .ebq1bsjjs/e :34gth 0.120 m 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 0.600 m 14ey sb:j bj./zqse3jside?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and is b5bbn/3 esi -syuilt 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 s3ns-bye/b i5surface tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?