The three common pha5k px8hp xcpg:t:k-. z h02rhbses of matter are

  Density is

  Substance A has a densit-rvq ixue8 q*-y 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 followingt f:on k)e(pj0 is not a unit of pressure?

  Consider three drinking glasses. All th4te zez9wszge(l 9;(e2)gbj c ree 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 holgew z94t9gzbls)e 2c((eej z;ds 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 anah07 c ;pgjj/ed outside a tire called?

  When atmospheric pressure changes, what8eyz tafpj :itu z2 pu23i 33k(z+.viq happens to the absolute pressure at the bottom2ak+pzzj.u:2q8fu ietz3vpi3 ti( y3 of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m be7.-p u rbbw+e ( ole/usi0r5ixsga +:fneath the surface,0-eaul+fsb / eu isb7p irro. w(g5:x+ what happens to the absolute pressure on you?

State Pascal's princip -j/g27jdbfxm 2nb d.ile.

State Archimedes' princwi tcqw :5-zku*t zb6)iple.

  $50 \; cm^{3}$ 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 ands+xu g szc,6mpswn+6 *-d5t nr deeper into water of constant density, what happens to the buoyant f6ssun,5c +r dxmtp+-6n s*zwgorce on it?

  Salt water has greater density than fresh water. *p+8woo3b*zwudi, ydj am- v (e+y1ois7(kup A boat floats in both fresh water and in salt water. Where is the buoyant force greater on theuv +s m3+(idkbywey,a o-zu*o7o( p8 id*j p1w boat?

  Salt water is more dense than fresh water. A shipqv5 f0b:*:ebw0km gfn i0)zka floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt wate50ba zb0*mfk::f)vqn k 0wgi er is

  A steel ball sinks in water but floats2 1y lejib-fa, in a pool of mercury. Where is the buoyant force oi2-e f1jab yl,n the ball greater?

  A 10-kg piece of aluminum sits at the b 4.+ miklgqx).pkhm, uottom of a lake, right next to a 10-kg piece of lm4 hlm .qpui.x,+)kkgead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a pieceh;+ahkxrk85 in, 9u5(.viypstxq 8ac of wood floating in a bathtub. If the iron is removed from the wood, whati q5y5.h,ahkia (n8 u +t8vxx;r9kpcs happens to the water level in the tub?

  A piece of wood is floating icc k v-02hl7yzn a bathtub. 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 water, what happens to the water level in zcy 72hlkv- c0the tub?

  Water flows through a pipe. The diameter o/ocx h* 5lt8,h 7qgtbhf the pipe at point B is larger than at point A htbx7,h*8qohg 5 lc/t. Where is the speed of the water greater?

  An ideal fluid flows at 12 vo8b6u qlz; ad 9/qpn4e q.lx+m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow sp.ao eqlqbvxl9q6 +/n84p;zu d eed in the wider section?

  An ideal fluid flows at 12 m/s in p,q03rltmwb1a a .s5zft,c 5t a horizontal pipe. If the pipe narrows to half its oqatw1s camr lt50,t5,pz b3. friginal radius, what is the flow speed in the narrower section?

State Bernoulli's principls9o0z np/-tk.xy;k .spfa 0f qe.

  Which one of the following is a:v etikkbujn;g/r9 cd;0+k )a ssociated with the law of conservation of energy in fluidsb ga;c) k duk9t;erink+:v0/j ?

  As the speed of a moving fluid increa s-aq r;w9i9/o;dul ehses, the pressure in the fluid

  Water flows through a pipe. The diamethun8*c: g3u quc xibsu0y1d4(er of the pipe at point B is larger than at point A. Where is the water pressure gre:uu*c i 13cby( q ud8hgsn0ux4atest?

  When you blow some air above a paper strgpy(/2 qsnl5nip, the paper rises. This is because

  A sky diver falls through the air at termina0) ,uy 2 +il)vujbvu .bf,vve.r-dlzvl velocity. The force of air resistance on him ise-il ly..2)zfbu),vv vbv vu +,0 udrj

  Two Styrofoam balls, of radibo,g+cb*ve th wo83 a:q5+pb6ftp2 mgi R and 2R, are released simultaneously from a tall towerthq v c+6ft 5pgbp8o bbog+3wm2 e:,*a. Which will reach the ground first?

  When a small spherical rock of radius r falls through waterhy -sl, yw;*3uj -kg1byjn kn(, it experiences a drag forcesk*,bwknu(-1 jy g3yy;lnjh- $F=arv$, 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 p 38ugh1ks yk7lipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in thku gl 3y78shk1e flow rate?

  Two horizontal pipes are the same length, but q vx srjte 72k 4 z6li u7dfrfe;xo6av3,4f89opipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pr6a3sq fe 7uzxr;ie d86k vf42x otf,94o jl7rvessure difference across 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, buty833u.pg pvz m 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. If the flow rate in pipe B is Q, what is the flow rate inm g .338uyppzv pipe A?

  When soup gets cold, it often tastes greasy. This "greasy" taste seems s5zh j7 xr(gx5az- cr/to be associated with oil spreading out all over the surface of the soup, instead of staying in little gl h rxz55(ag-/zsjx cr7obules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water rises to a height h. s sz:vouj/*b zue :)zg4e-/q+)kgrkb If the diameter were hal /zszob/) g4vuuj+ rkg* e) q:be-:skzf as great, how high would the water rise?

  Certain insects, suchdfguc4h ana*n3 .sdnov h( fj (/u7r(- as the water bug, are sufficiently 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, v*cnfgd s.jrh -(na (7uhf/ou(a d n43twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently l v.z24 fm;xtqoightweight 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 uqx2t4o zmv; .fpward 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 ha w8y.4x lzdvmg3o+d;ls a mass of 30.0 g. What is its dozvlwm .x8g;d4+ 3 dlyensity?

  A liquid has a specific gravity of 0.357. Whaq;ibwwb:xlym3v: 5 es3lhvb0t.h 1r )t is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4. eg,)z/tw hn/tz*b d5a6meit:00 cm. What is the maximum pressure it b:mdwn)/zi56 ae teg/ tzh,*tcan exert on a horizontal surface?

  A person weighing 900 N is standing on snowsm oy1 mew;y0/qpurr3:(/s n afhoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine w6 br6 k-qrqc:(* y6m2 ft8z+m9gzce bkqmpai0ithstand at a depth of 120.0 m in the oceat(ac9:k 6ezb qm6m8y*k rb 6fqigmpc2z 0 -rq+n?

  A circular window of 30 cm diameter in a submarine can withstand a ma;*z wlxp t4gujo +yl0,odv 56j.i qlu(ximum force5y giud(jz,lx; *p0jtl4 olovuw.q+ 6 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 i e-(ovt/xv*:csda.i 3lf ;pn uf the absolute pressure is 300 kPa?

  What is the gauge prky an8 *f0nnx-essure at a location 15.0 m below the surface of sea? (The density n80anx* k-yfn of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m belo o4w8nnv2tu l(w the surface of sea? (The density of seawa248tvuw nln( oter is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic 4se.8dboizoc nxw )z;-5gl-q n6o+vi machine. The small pistonl8 b-qdn -x4zon e wc.o5goiz;)v6+si 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 5.0 cm and the lar( iudg j7pui/ciyipt( 823(/j ec0onkge piston has a radius of 15 cm. What nik2 ige/0ci7/p(o3 tcjpu (dj i y(u8force 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 diamet +vrul21qe5,me z;h5 q xx9nyger hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to ah15grm,2e5 l yune q+xzx9;qvccomplish this?

  The small piston of a hydraulic lift has a diameter4o5gsi4 dyy*tox8 qs5 pa x2+t of 8.0 cm, and its large piston has a diameter of 40 cm. The lift apys548sxd2 t*o5+ 4qxoygtiraises 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 xw/ba6m bo07b 30 N in water. What is the buoyant force wb0mab o7/x6 bof the water?

  An object has a volume kkhimh40lqp /u6f 9r58zxof*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 supportez qs0n+xd y3o9d by a string while submerged in water. What is the tension in thenoqy0d+x9 sz3 string? (The specific gravity of iron is 7.86.)

  If the density of gold *yqi5m-m- yb1pbor/ zct i7 ;ois $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarinyq;/ ei(li-a re (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 im r --dk7ao0tbdmersed in water. bo7 0-r-k ddat What is the specific gravity of the object?

  A container of water is placed on a scale, and the scale hg9jnh20w1frwkz7 i cy (7yr 6reads 120 g. Now a 20-gwnj67 c7k ry29hrhwy (zf0g1i piece 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 and density ( gmcg+-x7oox 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 barelyraah 7vh 8h(r2mq;p1 c float in water. What h1rmc8q (rv 7p2ha;hais its mass?

  A rectangular box of negligible mass measures 5.0 m nxzly+ge 6o-*9y(n sa long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box befo 9 n*yxa-s z+n6oegl(yre 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 half4d+ d bp01s 0snluiq7s its volume beneath the surface of the water. The weight of the displaced wa01 nsq0s +4d b7dsliupter is 2000 N. What is the weight of the object?

  A solid object floats in fyra:39aq-;nh p /- kcid7tdxwater with three-fourths of its volume beneath the surfa/f cra3dkp7-h dtqxn9a:i; y-ce. What is the object's density?

  A 200-N object floats with three-fourths of its volume beneath the surfagp6d5,zb3+i 3k 1hsh vy.stohce of the water. Whbs .vgy,kpi356 z3+d hhhs1toat is the buoyant force on the object?

  A polar bear of mass 200 kg st553gq(sp7csl x1,jubecqom a x w8, d1ands 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 grav qxc (u,5mo,wgp dxs qeja1bc 718sl35ity of ice is 0.98.

  Liquid flows through a pipe ofjy knqf:znd5i . 0:r32yett/t 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/s. There -akyf8.jwmzk z kjor938: 5wua1h8uqis a 2.0 cm diameter re8fy8w.m:qjk5 jua8uha k3z zw1rk-9ostriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure gzi1o.xkn; jompj/o k6 a93,zof $3.0 \times 10^4 \; N/m^2$. 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 supztl*fesjioga48f1z:scad 59t59v 3jply a drinking fountain with 300 k913 s5lf9oai c:z8 saj4gvjfte*dt 5zPa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurss3e9 vk) bvyb6 in the bottom of a water storage tank that holds w )3s 69kvvebybater at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through ah 5pcdf4fn(a2 horizontal 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 w4y ljg;hfk mib-(8tnfk b-4.mould it take to pour 4.0 L of oil through a funnel withk8-mbhi(m .b flj-ntk4 4g;yf 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 of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an artery decreased (snll -og69; w-mcohhthe radius by o(shm; 6ln-hc- w 9ogl10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are ppr+2;w ug6bx /uenb 4 it.5bxzlaced in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in bx5gb urw4p/+ b.i6 te ;2nuxztube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise a 1hsu1rg3o7brmhr)pvys 07m6;uor/ in a capillary tube of diameter 1710ra;s o) mshprv/u 1 rg7urhyo6 m3b.2 mm?

  232

  To what height would water at 0 degreetl22k/jsxqy an3x .m9 Celsius rise in a glass capillary tube with a diamex3nqxjl2 9t y.amsk /2ter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the watg5 xoo .1 f6xzhse,t8fer rises in the tube to 4.0 cm above the level of th x,xg.f156eo8htfo sze 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 fraqlwctih p- 61bxg:4:p(x v0vcme of length 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.v6pbxp:g(h : xc1t-i4vq lcw 0600 m side?

  An adjustable rectan/kj bc;.ei0 u3:hfhwa/ j:bqjgular frame has length 12 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 wj aufeic ;3b.wh:/ /h jk0j:bqater has surface tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?