The three common pha(s 76a7 j8kyzj,f nrcj gsyi+l)e8hz5ses of matter are

  Density is

  Substance A has a densio3c q.o kmq;i45++f.q tj ku kku:6lhety 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 p k9blyn/uq,q fz96y52 gb0 zdy,zo 4kis not a unit of pressure?

  Consider three drinking glasses. All three have the same area base, and allp:;aac.wu9a y three are filled to the same depth with water. Glass A is cyu:ac9 yp.aw a;lindrical. 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 prefpig eyv 9d,)*:pk q7yssures inside and outside a tire called?

  When atmospheric pressure cha(kkvcg o;bzi0 c+/ ox9nges, what happens to the absolute pressure at the bbcc g okx9/z+v o(ki;0ottom of a pool?

  You are originally 1.0 m beneath the sub)jfot+-p tj3 rface of a pool. If you dive to 2.0 m beneath the surface, what -bfj)pot3 j+thappens to the absolute pressure on you?

State Pascal's principl)hlrr3yiypq -,c5q j 2e.

State Archimedes' princa * -ntnem*pm3q)l 4gkiple.

  $50 \; cm^{3}$ 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, .z, j ks0usndaijo8 fibb.1;2 what happens to the buoyant fibj0k8d;2isofb .1jzas,u .norce on it?

  Salt water has greater density than fresh :;h ydrc;i(f9q vqli+water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the boy+qdi ; ;q9rf(lc :vhiat?

  Salt water is more dense than fresh water. A shipqji8m)xk. . gu floats in both fresh water and salt water. Compared to the fresh wat8 qi kxj..gu)mer, the volume of water displaced in the salt water is

  A steel ball sinks in water but flooi7- 0nv 6mise0w)i2 zxmdxj,ats in a pool of mercury. Where is the buoyant force o0 )7sw0 62mxoiejxdvnimz, -in the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next ts3y:t* nxf6;i1cdfmayug1 h6w ;x/wu o a 10-kg piece of lead. Which hasx;1*g wuiyufmn dt3f/ha61;xw :s6c y the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. Ifl ebur)kr 1sh ;,8imr ef809yl/xd9 ya the iron is remkl e/;fy 8mb s1er)ur09lx 8r,a9ydhioved from the wood, what happens to the water level in the tub?

  A piece of wood is floating iyc+wr 0jw(wn3rhge (2t +ug0in 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 ha 3r(hywctgujn0i20 +e(wwg +rppens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point Bg6 63ctb9,lqy1zsa rf is larger than at point A. Where i3g faqtcblz r1669ys,s the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens o 3w y7bm1zuiqv154pzto twice its ori31zqbvy1uio 7zm54w pginal radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows to hal9bn : yk8tfzi7f its original radius, what is the flow speed in the narrower secti :yt97bizf nk8on?

State Bernoulli's pring l* 1evc,mzu3 e tm-rbj dm4q:9)vqz8ciple.

  Which one of the followin ;kkbpx70 9ab(y q8sstg is associated with the law of conservation of energy ( ys8 qbakktb ;s9p0x7in fluids?

  As the speed of a moving f dxwaxu,) j:mu vm-l953mxu.vluid increases, the pressure in the fluid

  Water flows through a pipe.tve,n*eu w yg(ct;f + 7zl3fp9 The diameter of the pipe at point B is larger than at point Az 3vu*cgt pl 9tey;f wn(e+,7f. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises q6,mniqu-,y,:dae gj. This is because

  A sky diver falls through the air at terminal velocity. The i6g 5z6yymf md:(iz 5cforce of air resistance on him mim y zc56f(d6z:ig y5is

  Two Styrofoam balls,) jqa/ni.v e*o of radii R and 2R, are released simultaneously from a tall tower. Which will reach the grounave q.o/) nij*d first?

  When a small spherical rock obe 6 58klgnmvs:n:c58 c9yjhbf radius r falls through water, it experiences a drag f: kbjc8e:85mnv96cbsn g yhl5orce $F=arv$, 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 flt/.4 kwkjsfa*4thsx7ow of fluid through a narrow pipe? That is, if you asfht.*7jt4s4kx wk/ made a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the sa )m-dvgwy1u6:de;n vkme length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure dim:gundv w-ey6 kv;1d)fference 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 tciuum2ev,y)3pkv2c * wice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure differeu)c3 y,2ievpuvm kc 2*nce 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 tastf3qoe , 2aznsndm:a6*es greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. Toa*6n2:q, msno3fz aed us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water rises to a h1 s0 +)xhild p9evz5dweight h. If tvd1p z9d5h si)lxe0w+ he diameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently ligh;j)ttfdhp (2ztweight that they can run on totjpz;d 2htf ()p 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, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lijb-ium+ /r(ac,1 xmbiifx+ 8qghtweight 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 long, twice as widej,(m1 xf8ab+miib/ x -+uqi cr, 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 47f wssi (vs);jk- ul7vg exy830.0 g. 78k(i)lj w-y7xs vvug ;s4sfeWhat is its density?

  A liquid has a specific gravity of 0.357. W d :c82oby+kqeow6in (hat is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is n6n3q5daxh-a the maximum pressu qhanax6- dn53re it can exert on a horizontal surface?

  A person weighing 900 N is standd1qin84i ti; zgw2(/h-x o bkuing on snowshoes. Each 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 120.0 m in)ogd /ve,uzr+zy l :,ndnr ,eo:)z/u, yzl +gv the ocean?

  A circular window of 30 cm diameter in a submarine can q8vkt(0ekc -c withstand a maximum force of tk(0c- ck8veq $5.20 \times 10^{5} \; N$. 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 pressure is 300k9fb3-v7np u w kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (;-ipn+ ov,h nqThe den,pq v +onhi-;nsity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface gkl /a;*e8aaus c: ym,hgfy3 0of sea? (The h 0gakaug s,3* ye;myc8fla:/density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small pist xn2wvm6hl/0iq hxuvlf( 4 11eon of a hydraulic machine. The small piston has area1wu/(lmhveixl142qfv0 6 xnh $2.0 \; cm^{2}$. 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 ralt8 4 xa8 ,navrhdit6(tjh 1hv,a7e.cdius of 5.0 cm and the large piston has a radit jarn7x 6he84cat hi1.,l8( davthv,us of 15 cm. What force 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 253* vttxl g xjyi1*z8j: cm diameter hydraulic piston. What forc1*y*t z8jxvjlg: t3 ixe needs to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydrajj3s i: l cj0rtpuf 1j9k2u70bulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm.r01 7: t0l2ifj3spuc 9jkbjuj 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. What isx0u(wyq. -jf)nkff : u the buoyant force of the water?ux0yk j-q:f( wf).fnu

  An object has a voluxdn3 ;yhu vm+e :uwd-/me of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid ironlqvf8 d/v.8x hy7,5a: rvpra erf w8*b is supported by a string while submerged in water. vwr8dbxey:l pa8rvfq/h5f.*7 a ,r8v What is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold 14(vzszpkyd1 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 (densit v yxi r4fk+cl+lg 8/kau203jty = $7.8 \times 10^3 \; kg/m^{3}$) 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 inyeyu - 4yqyl1; air and 6.86 N when it is immersed in water. What is the specific gravity of the -e4yuy;1 lqyy object?

  A container of water is placed on a z6wtp(;hwu ;l0 7j ms:pf8hed 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 water, not touchingt8ld0mh7p6w :hfp ; sju;wze(
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1.0 kg and deg- zzk zew:0./i/crsbnsity 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 diametedtc pu qg -r4e/oy,q 4nd(oab 7hus63-r 2.0 cm will just barely float in water. What ptqb,ey 6 3ndc4 u/qo-souh 4g -d7ra(is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and il(mg0mcr( 6s 0.50 m high. How many kilograms of mass can be loaded on0clrmsg6m( i(to 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 withz umd5e rn5-,e/72jl8x+vgoemyv b z; half its volume beneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight of the / exj,o ;n d+e5r8vgl-zmembzyu5v 72 object?

  A solid object floats in water with three-fourths of its volumux c cdzn-2olv+6p1lq*n13ez e beneath the surface. Whccunzoln321 l+z eqp*-6vxd 1at is the object's density?

  A 200-N object floats with three-fourths of ir33()(r1h f abdieae /jymw g4 hoc,2rts volume beneath the surface of the water. What is the buoyant force on t,maod y4fere w3ibj3hg) (h1 r(/r2a che object?

  A polar bear of mass 200 kg stands on an ice floe 10bi .d;lu4 az;q9w ,uxq0 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity d9aw;zq;4,u. lq u ixb1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at (rfcrs) 5 wr,e2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is (ft8l c0yl;3.kjg:badqcadq* +o (rt dm;yt1a 2.0 cm diameter restriction in the line. What is the velocity in thim1gc y aq:(fbdtq(k3t dyoct; 0;ld8 aj*l +.rs restriction?

  Water flows at 12 m/s in a horhauu37i a38md izontal 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 pump to supply a drinka:y s*oc0xk dc+dm8 +qing fountain with 300 kPa, if the fountain is 30.0 m above the pc okys +q+*d0 :x8adcmump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that hob6 w yqw3*q0 w9sk2mts8c ;yfflds water at a depth of 15 2y9wqms*k 3ytfsq w8;wc0bf6m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipk guj0q*kf r53e 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 s4veov17q.dv ( 5mrq -9lwdfr:fqay:-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 diamerrd-79:fvqealy m 4:s5. dq(foqvw 1vter? 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 walxc lktd)qa:5s v*x-8ll of an artery decreased the radius by 10%. By how much :cvk tllqs8*-da x5x) 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 wax: *v43tuhgy*t /ktilter. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in t* kt*4ultg 3ht x:yvi/ube B?

  The surface tension of water is 0.073 N/m. How high will water rise ins d(5uo/zurw3 a capillary tube of diameter 1.2 /uudw5(s 3rzomm?

  232

  To what height would3q720 necid cy water at 0 degree Celsius rise in a glass capillary tube with a didyq 702ienc3cameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water e 9ib8 2*xwcpihyc5d2 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 yhx9diei 2wp*8c25b c column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a su* re br4-u68y r0 dwwq h-a:p19tqbgxoap film formed within its conw qa -du*:w brhuy89xg1r 6peb4t0 -rqfined 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 side?

  An adjustable rectangular frame hasvcti 2bv2dy;l3 ks7; u/f7dn+b naet8 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 solu d;8n7+bvti7s2 fa ;v 2tedyc3n/kbap 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?