The three common phases of matn9y;i*v;inl5 tw kmp .ter are

  Density is

  Substance A has a density czz7 99 cpqij6eh cl3gg;jd71k /m*nbsy+5i kof $3.0 \; g/cm^{3}$ 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 pressure?/+swc*dddte2( 2q*cxu0 y eh: clsm6 b

  Consider three drinking gl60p2a-ayngb us0 .x cbasses. 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 narrowu.b-0 aycng0a 2x6pbs er 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 insi4ps:4f4kap9p8a ivhrw v m550 muutt;de and outside a tire called?

  When atmospheric pressure changes, what halb6(b4q ycx/yppens to the absolute pressure at the bottom ofxb(y b y4c/q6l a pool?

  You are originally 1.0 m beneath the surface of a poot/2nygaw45ti* piy4 h l. If you dive to 2.0 m beneath / w5y*2ti4yi4 tphagnthe surface, what happens to the absolute pressure on you?

State Pascal's principle)oh7wcusxx.pd4luk : y t+*1f .

State Archimedes' prinj y49tq 8q(dt5 jpv(vzm0o/l pciple.

  $50 \; cm^{3}$ 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 dqe qh:uh9b,r 3 j)g;mkeeper into water of constant density, what happens to the buoyan3j,hgk bq;q m)e r:9uht force on it?

  Salt water has greater densitqredvbq;:s:cwg v;b5 8a ss5* 1bmjl;y than fresh water. A boat floats in both fresh water and in salt water. Wh b lsb 1:gqs;;e5a: sdj*5w; cq8vvbrmere is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh ro+iy2zz1 sj1water and salt water. Coj 1zrso2 i+zy1mpared 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 88lt+mv;)0 rcqls*u otjguu;of mercury. Where is the buoyant force on the ball greater;+; t )u0ocugvl trml8*8jqsu?

  A 10-kg piece of aluminum sits ajo9u: )ujpw*t t the bottom of a lake, right next to a 10-kg piece of lead. Which has the ojp9 j*:tw)uu greater buoyant force on it?

  A piece of iron restsc y13 z2iu6iqf on top of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the water level in the tu 1z2i qu3c6ifyb?

  A piece of wood is floating in a bathtub. A second piece of wood sits y n3ha)jd8+p en2lew:c ),yao 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 happens to the watera ynajo2ypc8l:hw)ne), e3+ d level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is larger th 52-c y;vpqmx8r 1f.xhjj+46 vxtq0jw umh u9qan at point A. Where is the spechj.1 p-qtuwq 4m8v xqjy+2uxr59xj6 0fmv;hed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe jg,7nz2 9o vz1ozdp-k. If the pipe widens to twice its original radius, what is the flow spejpongz,zko 7291 zdv -ed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If zap0 atq*e,bpvo9 pq-p tn4wi2i41d6 the pipe narrows to half its original radius, what is the flow speed in poaq4i-tv1pq , 0pt9 i6p n4dz2b*ewathe narrower section?

State Bernoulli's prinj7c3y9l a +/ggv5ssr0ood0/eczrqj2 ciple.

  Which one of the following is associated with the law of conservationddla - hkh)e/ /2eym2t of energy in flakeh d2etyhl2 )/ d/m-uids?

  As the speed of a moving fluid increases, the pressure in tsl mhf 2ij/sr h03xwcbs a:05;; xlbe:he fluid

  Water flows through a pipe. The diameter of the pipe at point B is la f;do7agzu; d+/au q9rrger than at point A. Where is thedg/;+z 9dq f;uoua7 ar water pressure greatest?

  When you blow some air above a pap;xs )s:2cf 3lopdgwe7djn6mr by,- b )er strip, the paper rises. This is because

  A sky diver falls through the air at terxyeim -rwi(mu5yqu1 .m)pu ,2minal velocity. The force of air resist2ipm mxi y)-ue(.rqu,1u5wym ance on him is

  Two Styrofoam balls, ofxt,0gz0ed27av p+ hqq :3s5-cz)pwjb wvx7 ui radii R and 2R, are released simultaneously from a tall tower. Whic q7s wi2hv vw+a,)xec:g 03pbx0jpz- z7dut5qh will reach the ground first?

  When a small spherical rock of radius r falls through knlef w+lspb4;,2- wpwater, it experiences a dra wlk 4-2nsp l,efp;b+wg 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 the flow of fluid through a nat fa/ 2oku0h18v bf(garrow pipe? That is, if you made abk81uga(/h to02fa f v 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 t 0j em2t:w* dx6r2wz:miy;eg wwice 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 *dgtmi2je:0 6w:wzmexw;ry 2 A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as long as pipqp3)mu ir2q4hc;sb6 pe 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 fl u;4qr)3ch 26qmipspbow rate in pipe A?

  When soup gets cold, it often tastes greasy. This4 kg)p6 c1i1 z;kmfonx "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 terms 1g cmp;1kxn fiokz4)6 of

  When a tube of diameteqo5m 1 qxd1s 2m0xvmvy2pnlv3vjva(( 0q )9obr d is placed in water, the water rises to a height h. If the diameter were half as great, how high would the wat1vm(vn9 vylvx)p5s3jdmq0o 21ovqba 0 qx2(mer rise?

  Certain insects, such as the water bug, are sufficientlup7p+:vnq w l/y 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 as wide, etc. W+/wvnupp7: lqhat is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently ligj( s-o*.mtx j,y40 gpm3xzhjj htweight that they can run on top of water without breaking the surface tension. This is possible because the water, due to surface tensjxojh m(4j,p m* t.0 szgj3x-yion, 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. 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 oh (rbrq0+mg5q48 zsjk mv/o(v mff9,u f 30.0 g. What is rqzvkr gm hf04 5u(8vsmo(m/fj+qb,9 its density?

  A liquid has a specific gravity of 0v,hd3hnapjx+3 e d)ja pa, /2c.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.000zjz bdz,9tx:f 84k:tq60uy(xvqk lf e-e ; ba cm. What is the maximum pressure it can exert on a hor;tu648: jd:bv f,zbk9aeq00yl xft x(k- zezqizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowsha thw 4q+ k4lm8tq*2iwoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a .gohe7 x(k9fy depth of 120.0 m in the ygk.o exf9(h7 ocean?

  A circular window of 30 cm diameter in a submarine can withstand a maximui iw-l.gxk w10xd/ms(m force xm d(1igw.ik/l0- wx sof $5.20 \times 10^{5} \; N$. 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 pressuwbqw. m p: p7c0fn1h)m. ygxvl-)3gnure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the s4rfzp)*i ed/ wr 1pw8zo)caw/urface of sea? (The density of s p4rd/wopf8wr*/ wz)aeic1 z )eawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a locatih+uw9vm*2 fn p n0.rdgon 15.0 m below the surface of sea? (The density of seaw9w dvr p g2.u*0nh+mnfater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The smals 5 y4i)i nkrxpq4,kk5l piston has arex4p5,kkykis r)4n 5i qa $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, th78 - spegww3q pvprf);e small 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 N on th;s -7e)pgf qw w83pvpre large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic piryf;z(nn *u+u 4 edf8i-u9elgston. What force*ruide 9gz8fun4(fun - l;e+ y needs to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lipts(3 k v n0,ch/i0haqft has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The liqh t /p0a0 ,nshciv(k3ft 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 Ncz; r48 *idvtu in air and 30 N in water. What is the buoyant force of the wate ic8vzd;r 4t*ur?

  An object has a volume of )n5 r.ent996fjbqpba$4.0 \; m^{3}$ 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 wat/o frx3ljb/ j rabg x u.9:bx32yw*/vcer. What is the tension in the string? (The specific gravity of iron is 7 c.lyu3af* 2bx3 /bg 9rjoj:/x/v bxrw.86.)

  If the density of gold j 2s ur1+zzec tg5y+s.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 (def2vjsg p,e5 vcoxl8t 5du7:x 9; j9rgnnsity = $7.8 \times 10^3 \; kg/m^{3}$) 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 ,b) ;/f/1em(bu5dpjdb 9mbh5kzktaq in air and 6.86 N when it is immersed in water. What is the be/m tpj9( bk bk)5 1bah/;uz5f d,dmqspecific gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. No2yn:4/sn pp :r;yk-jm; jhuh,yglp s 3w a 20-g piece of copper (specific gravity lpks2n3y/y;p: g jm:j rp-nuhhs4, ;y= 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 ma;gfdmcao2* d pux+0jyc7 s8g3ss of 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 diametero; o9,*h8r wr.nai5rqx rreq - 2.0 cm will just barely float in water. What *;enaxwi8rq ro9h r-.5,r r oqis its mass?

  A rectangular box of negligible mass measures 5.0 m lop984 +8i. o dxtqrh5fsj6kkfyng, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it s+5di p6h8 8yrf kk9jsq.t oxf4inks 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 bene 6gdt4czp4i). 1egunlk94jf cath the surface of the water. The weight of the. n gc449)el6tu kdzi41jgfpc displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with thre-p(m64m bg*m5 eoiq6p:t qgfie-fourths of its volume beneath the surface. What is the 4(f6:p6tbem 5qi*m qm o- pggiobject's density?

  A 200-N object floats wi .as bb.:/ttid(oq 1cnth three-fourths of its volume beneath the surface of th ta.n.b b: (qcti/sd1oe water. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 10 7h;9phg42doiw ee0vd 0 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The wp4d v7di9o0ehh e2g;specific gravity of ice is 0.98.

  Liquid flows through a/eos qbyn*x- b7od() n pipe of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diapxm7y+n 9s0z chr*h; wmeter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in this res ;rm*07h9 nsczhpxw+ytriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure ofrim7xn,v otb 9u,mq/9t x+ b,cvak+k1 $3.0 \times 10^4 \; N/m^2$. 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 q4nbp:n( 6zaz: fzy0k be9 0flto supply a drinking fountain with 300 kPa, if the fountai:4b0zn09eq (f :nzkzybp6 al fn is 30.0 m above the pump?

  A hole of radius 1.0 mm oc j;kjtu(r qqxks*5 7b /fu+ou/curs in the bottom of a water storage tank that holds wa;uuo+s7tqq *k 5b(fkj /uxr/ jter at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a h ypclockt2d9;9a( j 5.dpt0whorizontal pipe 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-s. How lonwy *md.sgx2t5g 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 ofymx*g 2t5w.ds 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 wall of an artery decreased the ky5)+r(wjbv0+d vcawcq *a, e radius by 10%. By how much would the pressure provided by the heart have to be increased to maintaibv5(+awq*0vr +d)wce yja,k cn a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube )m (f4z) fi 7a8njzmsqA has twice the diameter of tube B. If water rises 24 cm in tube A, how hig 4z) fiq)m(as zmnjf78h will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in a ca 4rw/de+ ,krmrpillary tube of diameter 1rmd k+r/ ,4rew.2 mm?

  232

  To what height would water at 0 degree Celsij ejl ;v97jz0lus rise in a glass capillary tube with a dia9j7 zvjll;0 ejmeter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the watfu ;t/pfu;, btsrm(a8 er rises in the tube to 4.0 cm above the level of the pan. The /u8f;,t a f rbst(;umpsurface 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 column in the tube?

  Consider a rectangular frasd *2i m n,m(x-bjd6lume of length 0.120 m and width 0.600 m with a soap film formed within its confined area. If2xujl i,n(bms -6*dmd 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 framez/z5rel y m6qz ja+9g1 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 adjustable long side so that the frame is 1 y+ j91l zm/zag6qz5re2 cm square?