The three common phases of m zi 0 q0:9i;-c cwzipd(3qoam+x9gqzfatter are

  Density is

  Substance A has a density ;qakux .:-9w59 ipa1*aiwrjpxqz+ c mof $3.0 \; g/cm^{3}$ 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 ofhf)/e4 qdqzm :eium -, 8: mxtk.pb-ii pressure?

  Consider three drinki6f3 )eyljgfz di5p;q3 ng glasses. All three have 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 atzi )dpge ;3y5fl36jqf 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 and outside a tire call+)rwk;y knm0ig ( jpm5ed?

  When atmospheric pressure changes, what happens to the r3fldo(wddtvc1z3:h1/ (d f rabsolute pressure at the bottom of tf3dzd(vc(: l d1od3h1 /rrfw a pool?

  You are originally 1.0 m ,s;.) +dfoqwk*pb/8yskaicu: w*tm dbeneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to thsk dsb/miatc8)* d:f .*;w o+wpqkuy, e absolute pressure on you?

State Pascal's principl:,ujos mul4b:. dirv*e.

State Archimedes' principp tuhfhk/awzg.)c( *z8 mp+my qt-+9sle.

  $50 \; cm^{3}$ 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 deeperd 2fr)f9u:;4mm:pp rnjyrb) a into water of constant density, what happens to the:r;mfpb pm4u9 jraf)r n)d2y: buoyant force on it?

  Salt water has greater density than fresh water. A boat okr /+wojwj(d0i -5tv floats in both fresh water and in salt water. Where is the buoyant force greater on t0i wjo -r/(dvow5+ktjhe boat?

  Salt water is more dense than fresh water.anvg5dh j/5 p- A ship floats in both fresh water and salt water. Comparedg-5djnphva/ 5 to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Where is the bu-e o +mw/mm-0pey9 2zci(dbzu oyant fcm09/-yp+ o2 ebz(uz-iwdem morce on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg mb( 919;jpxj7dl roykorj8+kpiece of lead. Which has the greater buoyanrdxj 9 jk8jl19k;(r y+bop7om t force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. ;yml5)n*tvdj mmg6 6qIf the iron is removed from the wood, what happens to the waterm;l5v t6 6m*gqjm)nyd level in the tub?

  A piece of wood is floating in a bathtukrt qtc aum*) not,57.b. A second piece of wood sits on top of the first piece, and does not touch the water. If the tktqm u7o )t,r*ac.5ntop 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 at point B is larger ;unz(w;pe m8kvb0zxp j *w2:b than ax2bm;zj u8*e: w;w vp0kzpnb(t point A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in. )ow vqm+1fxe a horizontal pipe. If the pipe widens to twice its originaloxemf+.vq ) 1w radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe.//or k3*cl ji7v+ erpr If the pipe narrows to half its original radi//lirr73cp o j*vrk e+us, what is the flow speed in the narrower section?

State Bernoulli's prd9x4 ny2pp h1yinciple.

  Which one of the following isyrgne2i w7 z,2b2f/h k associated with the law of conservation of energy 2ye/izhg 2 fn b,w27rkin fluids?

  As the speed of a moving fluid increases, the pressure in +;66sc c hvjbithe fluid

  Water flows through a pipe. The de;6vo)4yt fwziameter of the pipe at point B is larger than at point A. Where is the water pressure greatest? ; twyv)of4z6e

  When you blow some air above a paper strip, the paper ri*za (t+ dgh w5u66zcw6cuu3 zuses. This is because

  A sky diver falls throug,f;bexsdk0-1)gdr3oi;bf) gy vn d)s h the air at terminal velocity. The force of air resistance s)-edvk,bs 3doy;xfg0g bd)1i;fn)r on him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneous .uz6q7voffd3o. tju, ly from a tall tower. Which will r zqu6f,3j o.7uovd.fteach the ground first?

  When a small spherical rock of radius r falls through water, itk,b ng3-x, : v4ondjan experiences a drago,: xagvbdn-nk n ,j43 force $F=arv$, 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 tsqr l3lhudh3 4 d971vahe flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in the dlq 1374ruvl39 sadhhflow rate?

  Two horizontal pipes are the same len6m:uq+j(pr f1 z8mvxxgth, but pipe B has twice 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 ratuxpfjmr1zxm 6v 8 q(:+e in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is t6gl lav6z2bn5 c .7fiiwice as long as pipe A. Water undergoes viscous flow in both pipes, s7gzvbla6c5nilf. 26 i ubject 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 oftenj )bh4dm :nrln9l r 9k;3zo-dm tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over tnb n ld;-mlh)m3k9drro49z:jhe surface of the soup, instead of 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 rises d;:qsef .+,c7zt-:b pt vbe lw,xko) jto a height h. If the diameter were half e+ste.l ;,vwc -ot 7pq:z jb)d,kbx:fas great, how high would the water rise?

  Certain insects, such as the water bug, are suffitxbbe,* z v;-mrs2h ws3ff ;;iciently lightweight that they can run on top of water without breaking the surface tensionb*,e2h -xt;s;f3rm; z is wvbf. 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 lightweighvh-* bb/a) oqkzn-k 9ht 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 wide, etc. Wh--zbk nv 9o/ hqk)bha*at 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.yw5 6um s+o15;gtbdhi 0 g. What is dywums + h5;i16g5btoits density?

  A liquid has a specific gravityuhvuh:y tt2erthdnw;b ; /9*/yox f, 4 of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4(gwq+pri*d r 7 jk/rw6.00 cm. What is the maximum pressure it can exert on a horizontj* 7 pwrrkrg6q+/w i(dal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe826- e) m2 krfqbnl75xlmoozf has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine wit9zwst+- tt,0:xr8novrez)u e hstand at a depth of 120.0 m in the oceant- ez+orer8tut0:wn s, z) 9xv?

  A circular window of 30 cm d7d,7lz1y*q hxb f 6fxgiameter in a submarine can withstand a maximum force gxb7l* hx1f6zq 7,dfyof $5.20 \times 10^{5} \; N$. 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 prkp3g2(bri x44x y)nawessure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the sui cdw,:lzc1ab /s2 tfpd5f d91rface of sea? (The density of seawater is z9dbcd 2a:wt fpidf5l ,c/11s $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15 3jj;5 g*i/ojw md,bzsyol-;sr*9suw.0 m below the surface of sea? (The density of seaw ;lms *;jw z*rwd,j5io 9ouyg/b3-sjsater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. c8s is-spi+cb4 8nr(d The small piston has a- id4 (sis bspc8rc8n+rea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the smy rqcwwq;/f j7;,;bpvall piston 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 /,fbvqwqr;;wjpy; c7 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic piston. Whaf6tho nwm)+ma f.7gj,b j8. fxt force needs to be applied to a 5.0 cm difo w)jm,6x ajbgnff.tm 7h8.+ameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its lar yo.lmi2)tjif4 mv 5v5sz2z u:ge piston has a diameter of 40 cm. The lift raises a load of 15,5zlvmo )f2j m v:siy 2iztu54.000 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 th( 0b6msccm5oqe buoyant force of the m0mc6 qsb5 o(cwater?

  An object has a volume of jd wkjnv(v o7 ab;05x6k6id4q$4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supported by a stri1iw u9on;gl5g ng while submerged in water. What is the tension in the string? og;gw5 in9ul1(The specific gravity of iron is 7.86.)

  If the density of gold isx)jwh* qk ,50mxr3 hozfwa86r.y(ac x $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine*(e-tlg tbah ;hf:nq( (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 phwp :y8kw7 ,osri9 ;(qt pv.dN when it is in air and 6.86 N when it is immersed in water. What is the specific gravity9(8dswh pt r:y qwi7 ,vpok.p; of the object?

  A container of water is placed on a scale, a ;;dn;os6o(cyah ,lhzhrvo/ -hfm88qnd the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thre yomlvh-6/n8fz;, 8doh( shcaq h;r;oad 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 9t14rvw ,bbv)u ynkz;d;7(lohl gr3cand 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 *xwxaw1)tsm nh,te7 , will just barely float in w, )s nxewm ax,wth71t*ater. What is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 wj + ,d.0ycwo7 (n pm*6yxbrzxm wide, and 0.50 m high6+7zmnjw b0 o.yywp,*x(cxdr . How many 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 beneathnchi85phly d :, 6hz(d the surface of the water. The weight of the displaced water is 2000 N. What is the weight of the obchzh:yi 86 5pn dl,h(dject?

  A solid object floats in water with three-fourths of its volume beneatx3z phx+dl w)-h the surfacez+3) xwlh x-pd. What is the object's density?

  A 200-N object floats with three-fourths of its volume /2x vyl nif9j91:jcqibeneath the surface of the waterj2qj1 i:y9fn ci/9lv x. What is the buoyant force on the object?

  A polar bear of mass 2453v1guq kmiqn - yuv(.gs4x c00 kg stands on an ice floe 100 cm thick. What is the minimum area of the floe that m5 .g usgk xiqy4u-1cq4vv(n3will just support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe okcaadgd , 7/syl. o4v-f diameter 3.0 cm 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 a 2.0 a , sp5 3v/7/ gtejmnr44dfxxucm diame374me /xf u,j rsavgx5npt 4/dter restriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressuh(0da3c kj60z)qggjt re 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 drinking fouaks ng*a/jhc )rq f,/9ntain with 300 ,schaj*g fr9q/k/)nakPa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm; o,zb/ n-6rpk rsg,yh occurs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow out of the hole6yr/,b ornh,-zp; gks ?

  Water flows through a horizontal pipe o,jp k)o ee;vh wm 16jb32atuqr(k+bs*f 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-s. How long would it ta+ob pzy6jl24m ke 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, and neglect any drag effects do6z4jb+pl 2ymue to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an arter71u//ugth pku y decreased the radius by 10%. By how much would the pressure/1/gptu huk7u provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in al 2n 2mr,6:hs2vzwf qe pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in tub 62n2r,h2e:q wl mvfzse B?

  The surface tension of water is 0.073 N/m. How high wil5 lwi3 nzl3sqt g+6(sxeix5+fl water rise in a capillary tube ot(q3+i 5f65xwge +n 3sixlzl sf diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capjg3pql0 it6:z s sf58 bd0ir7millary tube with a s78dgqzl:i0t psf 3m0 5ij6 brdiameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and t,-2)zlw4a 3 lpkytd1: gm:j(bg.ieytw 6jbk jhe 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 of some soap. What happens to t6g 3.ylp(idjb: k yt-wjkl, gwjm :)e41ab2zthe height of the liquid column in the tube?

  Consider a rectangular fram31 th- 5ccan0r8c /ba s(dgumae of length 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface te r /gta duc1c-0b3aan(c8sh5mnsion 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 has length 12 cm and width 5z* 1v. fhow7v.l74kz 5fapcfu 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 adjustable1w 5f7lzzv 4 .cuhafko.7pvf * long side so that the frame is 12 cm square?