The three common phas49 )rebmvsn 3ca2i(2kncfp1res of matter are

  Density is

  Substance A has a density;jyho7037zeovxf pv11* te nk of $3.0g/c{m}^3$ and substance B has a density of $4.0g/c{m}^3$. 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 pressurn xffr)7 p4n:/t q,i1 tstqet.e?

  Consider three drinking glasses. All three have the same er 9+ku b9gam8area base, and all three are fmeu+ab 8gk9 9rilled 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 bottom?

  What is the difference between the pressures inside eh6.l 9 1fadej6xbz.zand outside a tire called?

  When atmospheric pressure changes, what happens to the 7si7 bmdidq222pnzu) absolute pressure at the bottomiz q2s7mn2)dubi2p7 d of a pool?

  You are originally 1.0 m beneath the surface of a poh2kraz w1iq4s. s: 8td6pm ww.ol. If you dive to 2.0 m beneath the s wp4i.:sq2m8 .az 6kws 1wrdhturface, what happens to the absolute pressure on you?

State Pascal's principaz ;(-ngg*m ig)/25dcbzjbs w le.

State Archimedes' princb88l 7u8v)mjiepwe e 6iple.

  $50c{m}^3$ of wood is floating on water, and $50c{m}^3$ of iron is totally submerged. Which has the greater buoyant force on it?

  As a rock sinks deepe3v g se6+9hffzr and deeper into water of constant density, what happens to the buoyant force on itvfh9+f6g3z s e?

  Salt water has greater density than fresh wazqbv/ oew+,i2 tq/22tz eq8 gb3nq 1dfter. A boat floats in both fresh water and in salt water. Where q 22n z b8t gbo1qe+/df/qietqzv w,32is the buoyant force greater on the boat?

  Salt water is more d8zaw9xl9 ety( :a fdv7;- leteense than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volu:a v(zw-9e 8f7y;dteela9 tx lme of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where is the bud+:n: r,q+ mk(eji mazoyant forceq ,ji meazrd+:k+: mn( on the ball greater?

  A 10-kg piece of aluminum s sh9blbi ;l,r9z-ja.kits at the bottom of a lake, right next to a 10-kg piece of a r l hk-i.s;jlz9,9bblead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece 4-u8pkor*/.e* mwgk a6lq ummof wood floating in a bathtub. If the iron is pk4u au6*/*mqel8 g.rk o-wmm removed from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A secon0qn 5z3 lumo3xj q)*svd 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 levej0 3)z5lx3 *qqmuvs nol in the tub?

  Water flows through a pipe. Th)x+wb c 8luc/n 1k5pste diameter of the pipe at point B is larger than at point A. Where is the speed of the water greateruc k85 +c/ptx1lw)bn s?

  An ideal fluid flows at 12 m/ m9i 3f2b+ d-myqawl:ps in a horizontal pipe. If the pipe widens to twice its original radius, what is ib d +pfl2-amqmy3 w9:the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe naffu 24jeo l1yk 36ghk+rrows to half its original radius, what is the flow speed in t j+u ylhf26okf34 ek1ghe narrower section?

State Bernoulli's principx-7+(5m:vmqhj fj qnt le.

  Which one of the following is+1mh2wha 9k2civ 6e+ bg q+jba associated with the law of conservation of energy i gbm29ab2++w1a hhv+e6qkc ijn fluids?

  As the speed of a moving fluid increases, the pressure in the mel t(c2 ;4tyktjx r /d9kb(t,fluid

  Water flows through a pipe. The diameter of the pipe at ( wte on/brvpm 9(/5zupoint B is larger than at point A. Where is the water pressure gbrwen/(/ 9 muovz( tp5reatest?

  When you blow some air above :u+ ,fmcz/qcf)wvc 7 aa paper strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of air resiowvf8 . +x-dpxkjl z.19rneo4stance on h o+fp vek1 zn9wx-xr8j.4ld.oim is

  Two Styrofoam balls, of radii R and 2R, are released simulqm3tf:o))eq frhf7 j5taneously from a tall tower. Which will reach the 5fjhf:) mq3q tfro7)e ground first?

  When a small spherical rock of r/dadd 6u v/gx3adius r falls through water, it experiences a drag force 3u a vxgd6d/d/$F=arv$, 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 fi 3 y(wmfvwq2v x5y4(e.ffwv3*ib5aflow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below,3fvi(wy45*xi wyf(53ff. vab2wemq v which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the d gh tgji,q4owr-l1;vvv wr8.0iameter 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 -rti , rwhvg8l0;v1j4g wvo.q A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have tho81rcb)/ ,tag wju5u:*bfh yw e same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the su)bjwhtrwyo*u gf /ab,:815came 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" taste seemsykxd1t+ t-5b 5juzqm2 to be associated with oil spreading out all over the surface of the soup, instead of t db+5q zuk1ytmjx5-2 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 water w 4nqpw+pta42g d3l,i rises to a height h. If the diameter were half as great, how high would the waterpp3 tqw ln+,a 24dig4w rise?

  Certain insects, such as the water bug, are sufficiently lightweight th6nql5vn t)y.mru:cz+ks ))bb at they can run on top of water without bryr )s5vuc n6zn: b .qm))+ktbleaking 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,xy7qs:6 jbn/y 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 twice as yx6nbj/:y7 sqlong, twice as wide, etc. What is the maximum upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm rf0 t7e ;2waibx 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its deneatiw 2f; 70rbsity?

  A liquid has a specific gro hwpygut65;4avity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10dzert(u,8 t (v.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal surfaz( v8u,tr(e dtce?

  A person weighing 900 N is standing on snowshoes. Each snowshoe g uocxzm 17j: zg olwth2m79:/has area $2500c{m}^2$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand )zi1; nfbtxp8 at a depth of 120.0 m in the oceanbn);xfi18 ptz ?

  A circular window of 30 cm diameter in a submarine can withstand a maxi l k0p5+8e01vayitsozjm 1nsnd fy)-/mum force n1-oj avfi5t s1 n+0 mdy/z0els8k y)pof $5.20\times {10}^{5}N$. 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 prclmqou r-v0d:) 1h/ di ijti6;essure is 300 kPa?

  What is the gauge pressure at a location 15.0 m beloe:26q(xqfmw- m i (yjmw the surface of sea? (The density of seawa(6me : (mj2-qiqwmxf yter is $1.03\times {10}^{3}kg/m^3$.)

  What is the absolute pressure at 24/dvo* )daldf;wu eh a location 15.0 m below the surface of sea? (The density of sea * )wue42lfvdoh/da;d water is $1.03\times {10}^{3}kg/m^3$.)

  A 500-N weight sits on the small piston of a hydraulic m6tvq ytmte04 5achine. The small piston has area6t05tqm e 4vyt $2.0c{m}^2$. If the large piston has area $40c{m}^2$, how much weight can the large piston support?

  In a hydraulic garage lift, the small piston * dq71r*ieyhh6- khg lhas a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in ordergh*1y ikh7qd*elr-h 6 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 hydraul; a2, rh,oq;*1i ydrhfy khb.c 04rgaeic piston. What force needs to be applied to a 5.0 cm dh04; agbhd. f;c,yrorqi y hek2a1r*,iameter piston to accomplish this?

  The small piston of a hydraulic lift has fxx+6 ww)i:z4 ,q4jgvkypj8j a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lif4zwq gx,jf 4j:)i vp j+y8wkx6t 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 (6mxj gl4l7 xain air and 30 N in water. What is the buoyant force of the water 4( xg76xlmlaj?

  An object has a volum9jgl 5+ri sew1 hn0)c1oa l2zbe of $4.0m^3$ 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 submagyx3o.2vf)6b-q e q berged in water. y2qqa6 3o. )vg be-xbf What is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gol8g5c5mjvzx 15leo 8n td 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 submarin3y g p:9qbg: jum-.bi5uep,zbe (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 whenut,95)ek g fkz it is in air and 6.86 N when it is immersed in water. What is g),ketf5 9 zkuthe specific gravity of the object?

  A container of water is placed on 3e+vfb1 1 ; whiggunk;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 wate wbgfh31v;gue+n 1 i;kr, 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 of 7/0g;ocr m 6,fqhjsgd$2700kg/m^3$ is suspended from a string and then completely immersed in a container of water. The density of water is $1000kg/m^3$.
(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 dy o 9f6nixc iya-6+(wxq.-cxhiameter 2.0 cm will just barely float in water. What is i+9ii xh c qnw.fyco-6(y-x a6xts mass?

  A rectangular box of negligible mass measu;*v4qhr pdy 8wres 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box p;4y rhq*8vwdbefore it sinks in a lake?

  A $1.0m^3$ 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 itsv+jsr pz1,fo)d7g ccc)bx ):ncl 9-zs volume beneath the surface of the water. The weight of the displaced water is+cps c)rg bl71) )9sdzx-:fc vj oncz, 2000 N. What is the weight of the object?

  A solid object floats ib:n;a az 2dt nx7a2(qmn water with three-fourths of its volume beneath the surface. What is the objeczb xnntd:;2(aa 2a 7qmt's density?

  A 200-N object floats with three-fourths of its volume beneath the surface of tqni -z(s6/c gdhe water. What is the buoyant force on the objec(ciz-d/6q sng t?

  A polar bear of mass 200 kg stapu/40jk )i tymnds 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 ice it y04pjmu )k/is 0.98.

  Liquid flows through a pipe of diameter 3.0 cmia tc k h9r4.c8l0bql/ +tmeclg) oy8) at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is ai/7fjs8/dnn ;fu c qc2 2.0 cm diameter restriction in the line. What is thecq sdc2juf/i8 /; fn7n velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a.5ovl :m+9x6f nm awwf 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 drinking6mc; jryhl9riv* ko +) fountain with 300 kPa, if to hry)jc;k6v+l *m9rihe fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that mcc4gmj;x9 urp4 o52eholds water at a dorccxj 49 5ump;2eg 4mepth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horp kee d kka3d31)a d/.qkwy;)z:v kyp2izontal pipe of cross-sectional area $10.0c{m}^2$ 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 $5.00c{m}^2$. What is the pressure at the valve?

  SAE No. 10 oil has a viscosity of 0.20 Pa-s. How long would it tau5t/vg(xkri2sh u-3ojm ,x 4 xke 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 of the oil is kept 6 i-ok urv3x4t/(h2 ux xsmj5 ,gcm 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 v;a(qiq(3sb/c8(l 3qqkn9hgp(x agm the radiusam8 s(vh3q(nqpc(9xqgi3a /l; b(gkq 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 of water. Tube A ) mj zf+9*otvuhas twice the diameter of tube B. If uf t9v)m+* jozwater 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 wx oytx8t8qd3 kx8 ;r67weeka0ater rise in a capillary tube o7r3 twt8 0 ee8;xk8ykqdoxx6a f diameter 1.2 mm?

  232

  To what height would water at 0 degreq)gia oe ./ atlyk 50o3dz9/qje Celsius rise in a glass capillary tube with a diam zg5t93/ eld yoia qoq)ak/.0jeter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in thdoai/ 8.avkm3nu k 3z5e 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 soapa/3k.3kvm id nuoza8 5. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a soap d )dsx1 , /8oo7iyu kzmb z3jr7:c.adpfilm 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.zboa)87du,yx dk drp7 . osi:cm z31/j600 m side?

  An adjustable rectangular frame; ;ih hzeyek* d/nw(w0-je hs: 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 zs ;ww e (-jen:yik0h/hd*e;h soap film contained in the frame. Soapy water 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?