The three common phases of mattegzd5 gt jz94/(jr rc)gy/ -ewpr are

  Density is

  Substance A has a densn0de,h2a fh533)oq nou.*m yy ofv3y bity 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 followingtr1b psen 7 7uv/gai( b8a1co 9qw;4oa is not a unit of pressure?

  Consider three drinking glasses. All three have the same area base,es:.)5yahl b;1d j frp6og:r t 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 mor 5yesj ga pro;:f1.)tbrl:6dhe 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 n3 bx*ex*ic9r44 2wf9iv rejv and outside a tire called?

  When atmospheric pressure chan.3lxv* 3 xw gxts/6yycges, what happens to the absolute pressure at the bottom of a poc t xl/v.sx 63y3g*wxyol?

  You are originally 1.0 m bene7p cb.kaqst8 +p-u:dnb d 1h:eath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on you7bpun 8 ka::1qp+edh -bt dc.s?

State Pascal's princ8;i2g 0p baan-y,p 76utnoei ziple.

State Archimedes' princip99)u*;s a3thkn /48ej s6aauaqu 4pzo rxh7tyle.

  $50 \; cm^{3}$ 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 intxyzdp7b+c+ dmyo): 6 fo water of constant density, what happens to the m7++ )ofbyz:6dxd ypcbuoyant force on it?

  Salt water has greater density th rxxvk4i 3 9p)(mu/.trb4vamran fresh water. A boat floats in both fresh water and in salt water. Where is the buomr4(x4r uk / 3p9 rtbvaxm)i.vyant force greater on the boat?

  Salt water is more dense than fresh water. A ship +3oznbobi-;- 6lbw9kul0y b*nff yk 5floats in both fresh water and salt water. Compared to the fresh water, the volume ofyb 5 foblnz-6n* o-0i;9f+k3blbykw u water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where i6ehziw0f5pm7vw2 ,1p.q 3qqgvt )tqqs the buoyant force etiph z0qqf1 qg7) wqq6t ,2vp5 .w3vmon the ball greater?

  A 10-kg piece of aluminum sits at the bottom,kak*j ,p2 kcq9rm-qm of a lake, right next to a 10-kg piece of lead. Which has the greater buoyan mr*kmcj-,k92qp, qa kt force on it?

  A piece of iron rests onwp ec,ht,/ bmm w;q 1)ujq*yo7 top of a piece of wood floating in a bathtub. If the iron is removey1j;h)q tcpu,,ew7wbq om m/*d from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece oe,)a;v1yk)h emhq*9s8lo rwp 0f: sns f wood sits on top of the first piece, and does not touch the water. If the top piece is taken off an) *s, rk :s8 svhwa9hf)01;pnmee olyqd placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point3p*gpn6x:r.;qx b he k B is larger than at point A. Whnhb3r xpp; *.g:xe6qk ere is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipenob6fr m6+qu eel3k wj2t263 e widens to twice its original radius, what is the flow speed in the wide bte2ul3fe q2 w6kr66ne3o+mj r section?

  An ideal fluid flows at 12 m/s in a horizonta:un1d4 d;r wypj52dcd pro/+ kl pipe. If the pipe narrows to half its original radi w:dcu21 4/pk rdo5n+ pjddr;yus, what is the flow speed in the narrower section?

State Bernoulli's princi g9cptihhvd ;crd 39l:1yc17 jple.

  Which one of the followi aw;f3ny/35 pca;ihdvng is associated with the law of conservation of energy in fluih3wyd3apf/;5 cn ;avi ds?

  As the speed of a moving fluid increases, the pressure in th;s:8innav9s6 /vy f vde fluid

  Water flows through a pipe. The diameter of the pipe at point Bbo0q56 z/nx.5sluix j is larger than at point A. Where is the wx55qiob xs/ 60j nul.zater pressure greatest?

  When you blow some air above a paper st z9 yyx.6hxnu6.rl/bj: *tdry8la, zirip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of air resig 7(5bo mwz3eh. ai3iistance onghw7zio i(a.3 b m5i3e him is

  Two Styrofoam balls, of radii R and 2R, are releasr h2gan 5g7f/r8p8 kfued simultaneously from a tall toh 7ruk rg8g a2f/5p8fnwer. Which will reach the ground first?

  When a small spherical rock of radius r falls throu3445bx zm ow6h,shxorgh water, it experiences a drag mh xrob,4346wx sz5hoforce $F=arv$, 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 a0 tj qnqir j)pglbi(, 2i0f .y*p+y6ef narrow pipe? That is, if you made a 10% change in each of the quantities below, whichyp bql0(tjj*e)g ,fi n fp206rq.ii +y would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B u/2qtwjs ku ks:+85)vzuw1 s pq)jogp1v 33uwhas twice the diameter of pipe A. Water undergoes vi/w+s5ojp:wk)1 q u8w 2v 3p1szjs)uq3uuvktgscous 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, what is the flow rate in pipe B?

  Two horizontal pipes have the samkrisqd (8rf46wj *cvwj 7i r-8e diameter, but 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 in pip 8i (c*rsfkv6jw-d8jw rq 4r7ie A?

  When soup gets cold, it often tastes greasy. This "greasy" tasyjl1c gf4g0x f4wdc:; te seems to be associated with oil spreading out all over the surface of the soup, instead;4 jlcgd0 cw41 xgf:yf of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diamet)hbt y .nrrze)+mx.3l er d is placed in water, the water rises to a height h. If the diameter were half r nb) ).3yh+rmz.elxtas great, how high would the water rise?

  Certain insects, such as the water bugz4f6 mevp,)n1ms01o y7 sdbgb2 z, int, 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, twice ,oetys)gzmdv1i4n 7b0mpn 21,b6szfas wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are suffr.m;/e f8ig zxiciently 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 forcxm8/.refz ;ige 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 has a mass of 30.)mr)tfos w -,sla*bx ,az jo,+0 g. What is its x jtw,aas,orz)l,+ of-*)mb s density?

  A liquid has a specific gravity oapud .oj hdehf3/2:fxqd4. q;f 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cmwdc,l*f uo06tmr0ik 6 x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontalw6*c0mr,f0 d i oku6tl surface?

  A person weighing 900 N is standing on snowshoes. Each sn d-dr2ujv.,lir(dw .3ouixu: *w,jqkowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) m484wbo0/.tipbsk;zphl 8x ,n si 9oea;zmuf0ust a submarine withstand at a depth of 120.0 m in the och4b8fmps ,zispnbwooi z;a u0 kx;te489. 0l /ean?

  A circular window of 30 cm diameter in a submarine can withstanbg0i e+-o: ie3yn q+2p92tufwjgp l(ld a maximum force9jei2fb( g2-3uynopewtl :l+g0p+qi 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 if the absolute pressure is 300 lue(plo gcqn95 /bwe iq7ln-p + ,un07kPa?

  What is the gauge pressure at jm 4m0nxqad c)li,(dr 84idy9a location 15.0 m below the surface of sea? (The density of seawater is 4nxd rid 0a4myjc d,m(q)i9 l8$1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the sur6qy w nahky)3,face of sea? (The density of seaw3anh ,k yw6qy)ater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on tw1.f pc lpfix8v774, b)v zy9pek2wh khe small piston of a hydraulic machine. The small piston h2vzpw ik 9pv8.yb7h x,) w4fp7 f1elkcas 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 yi-9rqe f/b egt (6oh3of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in ordeet bh9/ fer(qo-y3gi6 r to lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a atx uyepz*n4::(4urx bs((c r25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to acco pr*(cnut x:bxy: a eurz4s4((mplish this?

  The small piston of a he7f2(,aw*jwedb ty lc+in m:*ydraulic lift has a diameter of 8.0 cm, and its large piston has a diame ye+* *fdwb2 :ntlwcime(7, jater of 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 12.eaxxv3vwl m 3nhm(q m,v7kntn4t )in air and 30 N in water. What is the buoyant force of the watmmml) v3x3 h txvw .1(tqkan4,n2v7neer?

  An object has a volume oqeja z,2- tq.zf $4.0 \; m^{3}$ 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 submerged in wan*g6/qx.yxj kfqd + ssfqg9 hc.la8,7ter. What is the tension in the 8n, q7 j9 qchgks.+af6dxylf.qxs *g/ string? (The specific gravity of iron is 7.86.)

  If the density of gold:of mbbi0x 3m) 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 5yrawa j5o5 h .b8g,f .zct+ptsubmarine (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 ir. , f .u)yz42;bi,c3agotau tf/opq rt is in air and 6.86 N when it is immersed in water. What is the specific gto y bat2rc4u.;, fua.oz/)g, f qpri3ravity of the object?

  A container of water is placed on a scale, and the scale reads 1renf*9rg9 mm5(rg9 my 20 g. Now a 20-g piece of copper (specific gravitymf y99er (*gm9g rrmn5 = 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 oh3b lf/ v1v 1vvtfycg3 +qpo..f 1.0 kg and density 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 fq (:,7fcfcq8z weo9pu*+nqo will just barely float in water. What is itcf9,uqo+wcf7zn pqq(f:e8 o* s mass?

  A rectangular box of negligible mass measures 5.0 m long,a6ha us)oe0r/gu+p r 64b.nyk 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto thyhosa0r./p 4g)u+66ue n kbare 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 4rxf oeb0 u;dtp8ut393ol9e pwater. The weight of the disrdufl e39pu903eboto;8px 4t placed water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the sucmj5,r8c*wm0lm. bf:) fdcxs m (04vgxw-avirface. What is the:f0.c*i48 grs jcxva ,05m (mlfwxmmc w-vb)d object's density?

  A 200-N object floats with three-fourths of its volume beneath the sy e4y9:- ydih/ y6wbarurface of the wr/:w ye b6hyy-4idy9 aater. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands ogm,:eodi 15f3-w4q wdmuru r.n an ice floe 100 cm thick. What is the minimum area of the floe th uded u,rrgmm:.q1f-43iw5 woat will just 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/s. Find the flow rhpz.h*1k ;- levr 2di uv7ox1fate.

  Liquid flows through a 4.0 cm diameter pipe at 1ti ms5 jw*3a6w.0 m/s. There is a 2.0 cm diametert 5wi *3s6wmaj restriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s4ck iwi ,,:dis in a horizontal 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 iwz 4x*m ri63b7d/gsoq t take for a pump to supply a drinking fountain with 300 kPa, if the fountz3br6q7 x4 sdw/i*m ogain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a watert )o4k2 vf;2twk- .q)wvuv.tq a*s:.agyk ssc storage tank that holds w4)v * t;kws af:qyqc -utst22av..kg ow).ksvater at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectiona 2p0o3rnuh t6nl 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 would it take to pour 4.0q x*83dnhiyf- 9j hgag0*bv4 ulwm 6/x L of oilhi6 u*j0bn3qly94 hwd* gx8mavg- xf/ 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, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on (ph0psm,:ird;6gos a the wall of an artery decreased the radius by 10%. By how much woul :;hgar,i6pp s0o (dmsd 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 them7.hmyiy q9c3 ,f ddm1 diameter of tube B. If water rises 24 cm in tube A, how high wi9cd mm1.,ydm7hqf y3 ill it rise in tube B?

  The surface tension of wate 2,-vdb4t.yhbhr 6uad r is 0.073 N/m. How high will water rise in a capillary tube of diameter 1.bbd,d t2-4urh.6h y av2 mm?

  232

  To what height would water at 0 degrebp8y0 ml0r prw:/6-vamlz0x o e Celsius rise in a glass capillary tube with a dia z-pvr8m0o0y0lp a/blm6:rwxmeter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water riswo.qnb p(b-d5es 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 thw(oqb -bdn p5.e height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and wit6s 58ucn sv*h, j8hb i5npbc9dth 0.600 m with a soap film formed within hshn8svn8t p65 ccji*ub ,9 b5its 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 side?

  An adjustable rectangu tl3abv8sagt1z,f 1mde b(7u.lar 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 water has surface tension 0.026 N/m. How much work is required to move the adjustable17a sb1(8b3ltvm euad , zt.gf long side so that the frame is 12 cm square?