The three common phases of matte;8ufme pu0p 9ur are

  Density is

  Substance A has a denstmx 63 q) bs;t8pseqo5ity 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 not a unit of presse1*a(6gxoyjvm1d1ygk16 m na :er9 jv ure?

  Consider three drinking glasses. All three have s 7d.34opocnd 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,4 cd 3nsodpo7. and so holds less water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference betwo k c/u0dot)w9ui.hq) een the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute prqsvif3:8 j3 bressure at the bo3ib3jv r q:sf8ttom of a pool?

  You are originally 1.; wwq -pr4+-;r: iraecp-j wwb0 m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what hwp4-p;rrq:b r +e -icwwa; -wjappens to the absolute pressure on you?

State Pascal's princip4zat8p)apl u0vtd1. r(kgyg. le.

State Archimedes' prif6+xxk) qdob8kz8p5d nciple.

  $50 \; cm^{3}$ 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, wha(uvepq.05gg,te2a 4 1olyk dt t happens to the buoyant forcgua,qldy p 0oe(1 gk.tv5t e42e on it?

  Salt water has greater density than fresh water. A boat floats in both fxkvi2gc2l:68 s;q qporesh water and in salt water. Where is th 2q8i : solvc2kgx;q6pe buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh wa5 tkf ued)jvua3,4.x pit9 3;+pp qxnvter and salt water. Compared to the fresh water, the volume of wa4feva3dpxk .9 vp5 + uu)n ijt3,qtx;pter displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercs+ + zxhs4l*saury. Where is the buoyant fo*s h+ xzl4ss+arce on the ball greater?

  A 10-kg piece of aluminum sits at t4q j 4t/0:jv r6inchu.1uhlkss2ilc* he bottom of a lake, right next to a 10-kg piece of lead. Which has the gre u ju4h ijlvtrqcn*l.:/20k1 4csish6ater buoyant force on it?

  A piece of iron rests on top whx7 nsoc1bbtj);nxee5oi5 w .-60 n xof a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens ox s0 t7o).;i6wcnwx 5bbexh5 nj-e1n to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sib-rumhb3oei7l( 8-8ah r jl+dts on top of the first piece, and does not touch o h -+rde lm 783(8labijbu-rhthe water. If the top piece is taken 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 a y2ul/(mfwh6t3s q(mwt point B is larger than at point A. Where is the speed of the 62wsyfhlm/mt(q w3(uwater greater?

  An ideal fluid flows at 12 m/s in a horgr95+w /vud6ez tjc iaf ,w8q4izontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider 9zg c4j /qute va5w,8+dfw6risection?

  An ideal fluid flows at 12 m/s in a horizontal 70dopy ngf 24jtg+u4npipe. If the pipe narrows to half its original radius, what is the flow speed in the narrower sn o2u44pj+ 7g0 ndygftection?

State Bernoulli's princi +td,cmja4lkud l k./fq9p b9(ple.

  Which one of the following is associated withsyufv* oden7cf. p794)yc n:7ja6d x c the law of conservation of energy if9*yx) 77ads nd6 cu.ojcf:v 4cnpy7en fluids?

  As the speed of a moving fluid increases, the pressure inm0cgh(wq j) w;j0 jck1 the fluid

  Water flows through a pipe. The diameter of the pipe at point B is -s)ofn7z suddu)tl*2ix,xdp p (d4 - xlarger than at point A. Where is the water prd4dl2ddxpz)pt)ns-x-7 uo sx ,ui(f* essure greatest?

  When you blow some air above a p)/ 5jxsw0 ppw8w2b)3edqp tfacqp - )paper strip, the paper rises. This is because

  A sky diver falls through the air at terminal l0pzjbr/)kp3l/ k/lq velocity. The force of air resistance oql k 3/bpk)r/ljpz /0ln him is

  Two Styrofoam balls, of radii R and 2R, are re3rau(os t a:3soox4o0leased simultaneously from a tall tower. Which will a0xa:o3ussor to4( 3oreach the ground first?

  When a small spherical rock of radius r falls through water, it exper5c 2h zm*vafu+ gtp:i8jnt )*eiences a drag forapm +vtf8i tu5)ej*hcg z:*n2 ce $F=arv$, 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 h 1w7 m4j (k:p 6jd4qe9 glief6nyosu+through a narrow pipe? That is, if you made a 10% change in each 4k ouh6( p791li fy mjse6ed:qwj+ng 4of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice e.u w7n ujop17the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference.uw 7jpe17oun 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, but pipe B is 2wa i,vyohy p 30uj**xtwice 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 flowuyw aoxh,j vi0* 2py3* rate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes grqrqss x* +l(v)easy. 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 ter *) (xq+vlrssqms of

  When a tube of diameter d is placed in water, the water r 884ojqi mc-bof ha++kises to a height h. If the diameter were half as great, how high would the hi fqo-m4a kjo 8++8cbwater rise?

  Certain insects, such as the water bug, are sufficiently lizwm/4348tbzp4x p yo yghtweight 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 bmb4 zy 4wy4ztpo/x38 pug 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 lightweiz/1 n jh ;/;y6nc+hq e8l4 wym1mbxaijght 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.1qz6lwn;/8jm1aybyh ;c /h4 xim+nej 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.n 3zo g1evyp,;00 cm x 4.00 cm has a mass of 30.0 g. Whngp1 zvey ,3o;at is its density?

  A liquid has a specific gravity of 0kwu p; g/2tw:*yclw/b.357. What is its density?

  A brick weighs 50.0 xr8zo j *:jr2u(isl 6nN, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can x(sur*:iz ro l68jnj2exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. mcy11tdqdm ic r +wi9di6 */u7Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 1204 11mt9q+hunyf awvpt-;g6i d.0 m in the ocean?tit4qa pf hu ;dyn+m1196 w-vg

  A circular window of 30 cm diametc)2ug)h)ucn h2t 8n+vq r il2per in a submarine can withstand a maximum force ofc +2hrlqu)gtni2 8)vc2phu )n $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressureo4-m6u(q.:rsryol se if the absolute pressure is 300 kPa?

  What is the gauge pressure a8dapo 0 n;+u y:axf3ccxfuf lx0/+zx 8t a location 15.0 m below the surface of sea? (The density of seawxdyf8++x a f3/ xxl0u80 az ;ccuo:fnpater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure 1 q;mp i:2qi m2fno4(dq, scxvat a location 15.0 m below the surface of sea? (The density of seawater q2m4(:i icdqm qv2,pnxs;f1ois $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The sm1seds0b 2xyy94 ,e xroall piston h9,dsxo4s 0y2 eyrxbe 1as 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 5s )zj0.l dstge 2i;9ab nfql8piston has 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 order to lift a car weighing 20,000 N ol d8s5;if2 .l0nbze gt9qsaj )n the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydfv6w d 0klua(/cat-:tm5r1bkraulic piston. What force needs to be applied t c61d/ft rl u:-wv (bkk0ta5mao a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a die; 9b++qkxaa b,vjaw-ae +z1 xameter of 8.0 cm, and its large piston has a diameter of1 baee,bk xzx+ q+aw+;java-9 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 watej0xg4tksu +ms*hc6, kr. What is the buoyant force of the watj k u40kms*gc6ht+s ,xer?

  An object has a volume k ,k9vvo+v *owof $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid *6u8miar0ufopqv /p +iron is supported by a string while submerged in water. What is the tens+q6o0u*8 am vurifp/pion in the string? (The specific gravity of iron is 7.86.)

  If the density of gold isqr2niwwu)ji +9,*hyh $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (d3(l7(iht wzx3dxwcgb 7zs)x 8 ensity = $7.8 \times 10^3 \; kg/m^{3}$) 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 wate7v /er;yy imlefrd;,(6sgx9gr. Whale6m rgiey;7x( g,rd9y; /svft is the specific gravity of the object?

  A container of water is placed on a scale, and the j ofwda:hew5/1l zc.2pda;j* scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into hdj;. 1dope2z:fa*w ja/5 cwlthe 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 de 2vw37h+jkw.ac;f8chetb za;x 78w su nsity 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 dia;tuq8xf;-l o zmeter 2.0 cm will just barely float in water. z 8-ofu;qt;xl What is its mass?

  A rectangular box of negligible q9ytizb8b-b4 mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How manyib49bq-zy8bt kilograms 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 q) 9 s.gjdppep kuc- 4p,y12enhalf its volume beneath the surface of the water. The weight of the displaced water is 2000,qcp jup9 2 nd1 ye.-pgep)4ks N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the b tof8s1.(6r fdw*jbosurface. What is the object's densfosjo wf8(b *t1 b.6drity?

  A 200-N object floats witha i.48 ,gpm( zslcf1dk three-fourths of its volume beneath the surface of the water. What is the buoyan8g.akcip4dsf ( ,zl m1t force on the object?

  A polar bear of mass 200 kgu,hsjs h*+z0 n 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 ice ih n*zj+0u ,sshs 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at n-*9 ak0t0 -elrahuhi2.0 m/s. Find the flow rate.

  Liquid flows through a.o xwnlg0on799d;r ug 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this rl9r nog;790udo.n wg xestriction?

  Water flows at 12 m/s in a horizontal nm.w17sy25/nx kw .,or,/pt mu hqz hnpipe 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 pump to supplyaa.c fgiu:l r-083rco yq6rl ; a drinking fountain with 300 kPa, if the fountaigrru 6-3c r aco8fay.qil;:l0n is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage y r4 uacgwng/p+ 0.7qytank that holds water at a depth of 15 m. At what rw0+/g7yrq c unyp .ga4ate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectional 8h-x jhf g xc i)fpnc0-3)t/jparea $10.0 \; cm^{2}$ 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 0w:44 jk vul liyd)ckd j2i3z;,.20 Pa-s. How long would it take to pour 4.0 L of oil through a funnel w uwdy2klc)j k :4j3i dl,i4z;vith 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 cdk4vu7tm- aw i( r,j:fatty tissue on the wall of an artery decreased the radius by 10%. By how much wouldvc, ki-daw(u7 t rmj:4 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 o6lmrl4 dvy -w7u:/k xwater. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high wiw:4 ry/-v6olxkdl 7 umll it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will +geukxe,;r 3z4lsb9jj5ma ,f water rise in a capillar53j jmx ,4f e+;ekusl9gab z,ry tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass cap*lumr:nk8v jd,:.yo h j;n+g7ovi 6gxillary tube with a diameterj+*g6odyjg ri7hvmkx: ;8u:, vn l.no of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rise)q145de-mv zgfkk. k0 a/yreus 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 a40k 1de)/m.vukg z -kfq5ryethe height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 mg7 u0 1.roeyeg(gjj5w 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 gu0we(r1yg e7gj5j.oside?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and is buicvu,4as(yc 8ylt in such a way that one of the longer sides can be moved without bursting the soap film contained in the frame. cuy(y48 scav , 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?