The three common phaseahw( qw i sz1ud1s4ez9+hi83 gs of matter are

  Density is

  Substance A has a densit3xqw(k:cv2d dv uk) x:y 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 is not a wk3m4or o l1xzwki2* -unit of pressure?

  Consider three drinking glasses. All three h.wwb g5ead0)5ebu09w2npoocave 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 more5)5wg bp2 euon we0a9dbwo c.0 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 ivj+ k0o*7yunj1cy ,kanside and outside a tire called?

  When atmospheric pressure changes, r uk9pbnch6;5 what happens to the absolute pressure at the bocu;bn k9rp6h 5ttom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you5kv s:g4a8 isj dive to 2.0 m beneathij4ag 8ss5v:k the surface, what happens to the absolute pressure on you?

State Pascal's principlejef4lpge 0 ws8(1pogq.2 ad;n.

State Archimedes' principlezf)jezmj, x:d3 hr+u+ .

  $50 \; cm^{3}$ 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;ar z/mm 4p/dudfo1c- l hu5:p to the buoyal-z;:/4 pa5h d c fmrpudmu/1ont force on it?

  Salt water has greater density than fresh water. A b y.pgj* gh9i+ 5 :kzx3ch9zffzoat floats in both fresh water and in salt wate.g*5z: i99+zhy3c fhfkxgp jzr. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh wate (qmuozg-yei52msn+ s ,ao,/jr and salt water. Compared to the fresh water, the volume of water displaced in the salt w2gqo(j e, 5 -s+i/zmunmao,syater is

  A steel ball sinks in water but floats in a pool of mercury.;;,d,x yv yz9(m nvy;yx j:uuk Where is the buoyan9nud yyx, ,;x;yzjuy v;vm (k:t force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake2g iqxqtcic:- yc6 (/bh-mrn;d np;h7 , right next to a 10-kg piece of lead. Which has the greater buoyant force on nh rtdpqcc h b72m ig/:-;x-(n ;qi6ycit?

  A piece of iron rests on top of a pie6c1l1x5o 6r e8 mvfmdbce of wood floating in a bathtub. If the ir8r6 mdvl16 cb1e mf5xoon is removed from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtua a 5s:atihyk,c+;s* xb. A second piece of wood sits on top of the first piece, and does not touch the water. If the ahx sy:+a c *ka;s,5ittop 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 oyxfo 3 :0 pev28:uvt9 wkidh-zf the pipe at point B is larger than at point A. Wherh-ye89wt od3fk:z uv0i2 vx p:e is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe.rt0l 9(z htx2i If the pipe widens to twice its original radiusltr0 2xi(htz9, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe /p6 ijca1:ezza7:0o jkr*q o4fzez2v narrows to half its original radius, what is the flow speed iqjezirc 7eao:z 0 azv14po2/j z:6*fkn the narrower section?

State Bernoulli's principle4)74otq 6 z9nnszs oie.

  Which one of the follofq2h f:e0aqak0rl pb:4i+.jz wing is associated with the law of conservation of energy in fl42pl f0+rj:k ibeafaq h0z .q:uids?

  As the speed of a moving fluid increase,myi/bamnt 57.ryj:,gg o f h/s, the pressure in the fluid

  Water flows through ;sl h q o+rtb/.fcxe 8*m7hf.za pipe. The diameter of the pipe at point B is larger than at point A. Wherefxhl*7 e / t+b.sohz.rq;cmf8 is the water pressure greatest?

  When you blow some air above a pkvm4go )2jp05 f/hhuwaper strip, the paper rises. This is because

  A sky diver falls througjo ur4osdd4f 8km6i8 3h the air at terminal velocity. The force of air resistancofdo6mki8ju8s 34d r4 e on him is

  Two Styrofoam balls, of radii R and 2R, are released simulerg7uck+zdy 44 sf s/*r bo.pe3c1 lm+taneously from a tall tower. e4cfoguy1+k 4.zr *ls r+7cb e3 sm/pdWhich will reach the ground first?

  When a small spherical rock of radius r falls through wx s8al ;-sy02kxcdmhhro)*4dater, it experiences a drag forcsm2)0 xh4x; clhsyadkd8 or *-e $F=arv$, 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 fhv:6n;).s0 qspzw5;lv ws zxcz/) vvp luid through a narrow pipe? That is, if you made a 10% change in each of the quantities bezv/n6v;)0pvq pw shs)vl;sxz w:5. zclow, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same le4 j5x m.1fj5dju1 xionngth, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the sj55 i dxnm joxj.4f11uame 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 sametfd4l,+j wiu 4 diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure dfwu+j 4 4,litdifference 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 greasy. This "greasy" taste seems to be asboy nl b4vd4b ,9bf,l1sociate,byv449bnodbf, b l 1ld 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 of

  When a tube of diameter d is placed in water, the water rises touh0g-q-7;p f5o ed xl hok2h1q a height h. If the diameter were half as great, how high would the water rqo2eho uq1hx-0l7gd;kf p5h- ise?

  Certain insects, such as the water bug, are sufficiently ligr nev/ m+f+utu9)7oyvhtweight 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 lonnf+v r9uv7)uy/ mt +oeg, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bugopzwn*f, n15blh:+k/,qoxmq nv s+:l , 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 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 maxim ,:khlxwsq :o n lqn+*pz5,/+ n1mfbovum upward force on the feet of bug B?

  A plastic block of dimpn;0d zn0(oy6pcba d wq5* t(gensions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is itgwz( t (n*pn5dbpqdo 6a;0y0 cs density?

  A liquid has a specific i1x4 e my59+o odu bn23bdo7adgravity of 0.357. What is its density?

  A brick weighs 50.0 N, and mea zru2a 1p6n5kqsures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert orapnzku 516q2n a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has ar 979ngubnu0q )+bpwwxt o(l4dea $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine wu 9w6p ,qoex4d*u 6wwlithstand at a depth of 120.0 m in thu6l pw4o ,due9wq 6wx*e ocean?

  A circular window of 30 cm diameter in a submarine can witseb cnc: 2wt8gu))r :tzkbxo,: 71szn hstand a maximum force of2 zsse8c: btnn1u)r 7b o,:k)gztx w:c $5.20 \times 10^{5} \; N$. 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 p2t3ovgs q t6;c*bz kyo1mur/0ressure is 300 kPa?

  What is the gauge pressure atfc(wo.,r2sjzk5646 sit xe nv a location 15.0 m below the surface of sea? (The density of s., 5 4tw(rje6f2zv nsi cx6sokeawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure v)kpl9x.x ;h3a w(lpdat a location 15.0 m below the surface of sea? (The deakv l3.wpxlp9h ) d(;xnsity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the smal+gph lhjdv.p62 5g 2a:bun-w fl piston of a hydraulic machine. The small piston has .nd : 25 h2+g-6phulwpafj gvbarea $2.0 \; cm^{2}$. 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 of 5.0 cm a* mub-+b3mwn znd the large piston has a radius of 15 cm. Whamm*-3bwun+ bzt 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 to2u-kxm1t u p vkw()cup va:ok4n4o2u9 be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish thiow: 4 - 2u4kvt2na uo9xc u)mvup(kk1ps?

  The small piston of a hy;9nkx ge )6m)suruu g)+d2ij sdraulic lift has a diameter of 8.0 cm, and its large piston has a diameter ousjg6;uun)xr9 k)+sim 2 g de)f 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 in air and 30 N in water. What is the buoy0n4diz nft l 3vpo02-c *q0ibqant force of thn 0 fo-q02 zitbv4ciq 3ln0d*pe water?

  An object has a volume,/yr yg +4z+wxg)tgdq of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of sox,aq0 6,nty qqlid iron is supported by a string while submerged in water. What is the tension in the string? (The specific gravity of iron is 7.86.)yqa,x tq,q 0n6

  If the density of gold is 7cv b 5xoloc-mie 41lp9 r8dfmzs6g* :$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (density =v2w*3bd u/a5-yl uuh r $7.8 \times 10^3 \; kg/m^{3}$) 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 an ch9 iv6ar:f4ng* ro8md 6.86 N when it is immersed in water. What is the specific gravity offmhrn 6a *irgv4o:89c the object?

  A container of water is placed o4y+chlv5ylx7 n a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread an ylvc l+75xhy4d lowered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass o t80. y2j/ bmyz9vdvgaf 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 will just ba/4yw .1x pl1 eyvx13eoy1cb nxrely float in water. What is its1cbv1p yxw/1 onyyx.lxe e143 mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wid:n 8(8x wzrn/ 9cqwfgeefg- n)e, and 0.50 m high. How many kilograms of mass can be loaded onto the bof ) cenfwz:9 -wnxn gg(88r/qex 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 4.x0yy(o*k*kezifid volume beneath the surface of the water. The weight of the displaced water is 2000 N. What is the0(4yi.kfdkx * ziy* oe weight of the object?

  A solid object floats in water with threeexct -rse2 qks8lten;8/+ b2b-fourths of its volume beneath the surface. What is the object's den8t2- e x2kecqbnrl ;s +bst/e8sity?

  A 200-N object floats with three-fourths of its volume beneath n7l*h4e,wao x the surface of the water. What is the buoyant force on the,e*74 hxaolw n object?

  A polar bear of mass 200 kg stands on an ic+, pd9am sjg**fj( 9wpa isyu,e floe 100 cm thick. What is the minimum area of the fm* s*dj9 p,a(sig,p9uawy+fj loe that 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 thei s +as:(86f t:zy3 eixuowq6i flow rate.

  Liquid flows through yqr o a2,3:p7mgg qq(6elq kp7a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. W ga 3p2kqp q:g, 7m(rqeylo7q6hat is the velocity in this restriction?

  Water flows at 12 m/s in a horizontalf6;z -5rrlfwo 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 doer 7f8n5ld.wu4y uzu kykr-(/ps it take for a pump to supply a drinking fountain with 300 kPa, if the fountain y/- y 8 57rupu(zdn. kklf4rwuis 30.0 m above the pump?

  A hole of radius 1.0 mm occuzhazs((lg 1skj w l*.5rs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will wateralz*k5 .1sz( (lgs wjh flow out of the hole?

  Water flows through a horizontal pipe of cross-sectional . 3 (jqcwuhrby9c-(jgarea $10.0 \; cm^{2}$ 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 6q8 338p .mq wr)st2y:q gbsikmhcf(sviscosity of 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 )m8sqbcq pqht2kr3. w 8m(gfy6i: ss3cm 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 ti-ip67p s c4cusssue on the wall of an artery decreased the radius by 10%. By how much would the pressure pr i-pss46puc7 covided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of w:dlmuv: 7fb s.ater. Tube A has twice the diameter of tube B. If water rimud:7:sv bl .fses 24 cm in tube A, how high will it rise in tube B?

  The surface tension of 3 5x 0zhbh/ebxwater is 0.073 N/m. How high will water rise in a capillary tube of diameter 1.e h0xh 3b/xbz52 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capil kns9 ,jwe2o67+lowo:yi;dwb lary tube with a diame os6ow e:kn,9yidl ; b+7ow2jwter of
0.50 mm?

  A narrow tube is play*y m , psacwj mp.d-y-u2.4den u;qu*ced vertically in a pan of water, and the water rises in the tube to 4.0 cm above the level .uqesm *mn2yy*pa- wdycuj-4 .,p;ud 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 column in the tube?

  Consider a rectangular frame of length 0.12h9ag o8dcgj puo 9n/0(0 m and width 0.600 m with a soap film formed within its confingna(0u ood9jh 9c/8pged 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 has length 12 cm ailp956cdfe:92 evig1euw4 qj b2gn2 3sz+umz nd width 5 cm, and is built in such a way that one of the longer sides can be moved without bursting the soap film contaiwvmeq9:51j s fn2 2u3igg9 i+ze6 ulbz pcde42ned 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?