The three common phases of m xtl7n4(k2jrf6 sx3aese,aj8 atter are

  Density is

  Substance A has a density off-z+iv2bj11i9v64*vrd6dr* t tzrr ftn ka )l $3.0 \; g/cm^{3}$ 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 followinr2 yhpgq lr(10g is not a unit of pressure?

  Consider three drinking glasses. All three have the samenykri +ougk2h ,8-0 .m v-ixxkn0 tt2koa n.n8 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 holds less watekvxn 2mk i2t +ix o-8k0hun ta-knon ..8yg,r0r than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressuzuqnr awv cg43 2uh(8w,m1qx/res inside and outside a tire called?

  When atmospheric pressure changes, what happens to the abso2ocy)gp8zr n ,lute pressure at the botcyn2)zr g 8o,ptom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dia06iub 16lep/ nob m3 6sdyi-ave to 2.0 m beneath thebu6 e/la1moyd30n ii s6b-ap6 surface, what happens to the absolute pressure on you?

State Pascal's principle.)hir 4* j5uk 7vxxzkm4

State Archimedes' principle a 4o0-xo:nvsst3h qb- 0slk/+yo* nuf.

  $50 \; cm^{3}$ 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, what happens ttu8k94sa(: 3wmw zktvo thtw(wvmak 84:u zs k3t9e buoyant force on it?

  Salt water has greater density than fresh water. A boat floats iny17wzc/ n ouvswp2q5: both fresh water and in salt water. Where is the buoyant force gpczu25n7oyws /:w v1q reater on the boat?

  Salt water is more dense than fresh water. A ship flo9 (bv,yzese*m ats in both fresh water and salt water. Compared to the fresh water, the vole9zvs(*bm, ey ume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where i-o)s8q ;jtxg5 4x1 bz /lfq 1if9iiyrbs the buoyant force o4fi19g-/ ij)5lb;otrzfyxqq i8sxb1 n the ball greater?

  A 10-kg piece of aluminum sits a6 jx+ )gwjgh:wt the bottom of a lake, right next to a 10-kg piece of lead. Which has the j:gwwhx)jg+6 greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. If the i /- db4djzqr0iron is removed from the w4id0d /b- rqzjood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits og d6 ubvp7ec9-n top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, what happen-ecu7pg9 6vd bs to the water level in the tub?

  Water flows through a pipe. The diameter of0hpd62taj9ufmr ; p +0ki-b ue the pipe at point B is larger than at point A. Where is the su ; +phpitke0u9r mjb0df62a-peed of the water greater?

  An ideal fluid flows w5rap 7apkt+h *qys0* at 12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider seap 5h0*y7t*qap+ rwskction?

  An ideal fluid flows at 12 )+u 4mnadkh.vm/s in a horizontal pipe. If the pipe narrows to half its original radius, what is the flow speed im+u dh.vn ka)4n the narrower section?

State Bernoulli's princip9sz8mu x/4vjb jx-r )kle.

  Which one of the following is associated with the law of conservation1yi8+3r 7au x-j wtmmh of energy in fluidhw8t13+m ji7rauy-mx s?

  As the speed of a moving fluid p1v,;yb s0+g 8gw x/mzwd rn:qincreases, the pressure in the fluid

  Water flows through a pipe. The y9, aio121chlueed)y23u l dkdiameter of the pipe at point B is larger than at poin 2 dlieeu2o,1u d1lyk9a3hy c)t A. Where is the water pressure greatest?

  When you blow some air above a paperad,lcxlupsf 4;6fk (6 strip, the paper rises. This is because

  A sky diver falls through the air at ter2plb7/oy 8fpgminal velocity. The force of air resistance on him ipp/byol f2 g87s

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a ttebd ordh,**9. fcl:ra cn:+x all towe crrb:t*x*.dhd+ef9:n ,oa lc r. Which will reach the ground first?

  When a small spherical rock s fj-y:e(rrv1of radius r falls through water, it experiences a drag foye1s- vfr:(jr rce $F=arv$, 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 qt0niq 1en+b:through a narrow pipe? That is, if you made 1qt0n+: bi nqea 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twicl1s9hylhv/4 b e 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, wllv9yh 4/1h bshat is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice t duajooqd1 pj/ (5xla;31o;vo bqf(7as long as pipe A. Water undergoes viscous flow i; j;ao7fv qa3o p511o(/ddqxu(bljton 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 in pipe A?

  When soup gets cold, it often tastes greas kylh(2q: odsdl;:2 qsy. 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 isqs ok( ;d2dll:: qh2yn terms of

  When a tube of diameter d is placed,) mkxtuyu-- wnvg z4+ in water, the water rises to a height h. If the diameter were half as great, how high would gy- u4mn-u)vw k,zt +xthe water rise?

  Certain insects, such as the water bug, 6bi/x(z +y affare sufficiently lightweight that they can runx b(yifz/a+6f 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, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the pqmld,)3;0n4d fkmwx water bug, 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 f0q wmpdxdkn3,m);l4 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 2.02zhw; gq1j.k 1bmi(k i0 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its denzi q1mjhbkk.1 gw2i;(sity?

  A liquid has a specific gravit:6dym i+x6 ibly of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What t82dw0bsd: 9 axa7flr is the maximum pressure it can exerxs0ddt:b rl aa87w92ft on a horizontal surface?

  A person weighing 900 N is standing kwm.2hl(*0wq :(gvp bo:;h 9cl tkk bqhcls:* 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 inbx2p*- i*txu l the ocean u*bl-2t*xxp i?

  A circular window of 30 cm diameter in a submarine can withstand a maximum forr26 (j*izah qpce ofriap6q*2h(j z $5.20 \times 10^{5} \; N$. 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 300 0;llaf ca ug5t/oj 0n*d0o)uikPa?

  What is the gauge pressure at a location 15.0 m below tu-z0l9gbf d k.zz.w8lhe surface of sea? (The density o9bd- u.8zg0lz .kwlzf f seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surt9 - arz;nx jtuyo6(4lface of sea? (The uzy al;-xt64onjt(r9 density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. Thj/mzr1dbi2yzj6 ( e:ce small piston dymeb(z 12i6j:zc/jrhas 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 radj3atfi ,vnk86ius of 5.0 cm and the large piston has a radius of 15 c a8f,t6k3ivnj m. 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 li(wq9q zo3 9h2xewl .kvfted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter pistonwkl v3 .wq(z9h2 xoqe9 to accomplish this?

  The small piston of a hcig o ey(lk3i: lfikag/;69(uydraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a l(ak;:gieio i 6gy(3fklu/9l coad 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 is clv)h i co9gy+5pk3(vqwzi 6b7gjhz2h4:g c, the buoyant force of the wate kjhgcvi)4g(zoch6 iy,l3 w5hbzgv: q+9 pc27 r?

  An object has a volu sy 6e.qijkppdb. -4)kme 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 supported by a string while submr6w+ffm3 dxd nfrc4a39q;24muzsxl6 erged in water. What is the tension in the stringw ffxmn36q ;r+c4x6 lfau3smd r2 d4z9? (The specific gravity of iron is 7.86.)

  If the density of gold isvqi 37xwi d0bbc(1*o7sqs ug* $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel nts tl6g ib170w/da. asubmarine (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 hs zb gx629qcc+ycs+1and 6.86 N when it is immersed in water. What is the specifgxc bc2yh +1q69s+zscic gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Now a 2k* 1xs)dzzqxz.xhw0pud ;vax..o0 x*0-g piece of copper (specific grdax v0*x0x zk. w. u xqp;d).zxho1sz*avity = 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 densit hpw )guln/gfs :l iw8o*9+w,jy 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 cwhjb59sxl+ 4x m and diameter 2.0 cm will just barely float in water. What is its + xw94bhx js5lmass?

  A rectangular box of negligible mass measures 5z3y /qvncr 6+c.0 m long, 1.0 m wide, and 0.50 m high. How manc v 3zycn6+qr/y 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 half its volume beneath the surface of the water.y1w0 upbxg26qt6 kve- The weightqeptvwy -606 k 2xg1bu of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with i ,,-t7hf jn*b ul5lfqus 1ilj )2b)t7xh2kfpthree-fourths of its volume beneath the surface. What is the objeqj,7lhl)l-ukubx7f ) ffj2nhp2 5 iit* ,t1 sbct's density?

  A 200-N object floats with three-fourths of its volume beneath the suvzte3 o24kf 2z2quq( hrface of the water. What is the buoyant force on the ovqo h2ktqe(42 3uz2 fzbject?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is the mino :zrm;z4v:mp;n hdrx2u-q1h kv0 wm6 cxy9( himum area of the floe that will justm-; 2:m:q z phyzhx9d1kwrn ro4c6uvh 0(x; mv 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/snyvu)wwk,17 i. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0v nv dxeub;wo)-q8/nrfyjvg14 s l,79 m/s. There is a 2.0 cm diameter restriction in the l g4,wo f)xb/uy nvjqrdln v8-9ves1; 7ine. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure of z; v4 gujmk50 tb+3tpv$3.0 \times 10^4 \; N/m^2$. 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 drc ye-)+mu; e,cc *azlyinking fountain with 300 kPa, if the fountain is 30.0 m above the pump? a yyzle-,m *c;)+eccu

  A hole of radius 1.0 mm occurs in the bottom of a water storage n 2ik vj x1h m4pd19i2qsogd,-tank that holds water at a depth of 15 m. 9-mdo isk x,g4 q2 vjpn2id11h At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross t+ww(u vxjb gg3)r2(e-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 ofz.5x+r/4)yfa bnmly r 0.20 Pa-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 diameter? Assume the surface of the oil is kept 6 cm above the top of the neck, ay)n5lx b+rrza4ym f./nd neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on the waln8b.2-9 ia 6g7o nkzjk5xbnz ll of an artery decreased the radius bg koz29j6anz-lnkb5i x7.n8 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 has twice the diamevarr 8 yx8 8dpwv(s*rq8;g0exter of tube B. If water rises ry*pqr;dvs x08(wvx88r eg8a24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is *om4jaj7 d3+wjomu8g 0.073 N/m. How high will water rise in a capillary tube of diam8m d*+a7wu j3gjjmo o4eter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capig;iouc /ew4:/ue q)kt llary tube witc )wko t eu/u:;iegq/4h a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, andjok/1n. 2li0elvwbks3 62 v nc 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 ofs02c6/ i2vnv1lw.elo bnj3 kk some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 b :bi;b/*. kekhyd+sva pu/f 5m 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 v/k f *bi.b 5ay:;bshpdke+/uon the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cmeig :kcw 5ocqj)w +)ob8 -z2ee, and is built in such a way that one of the longer sides can be moved without bursting tjoo)zwiq-ck2 b:5e+)ec wg8 ehe 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?