The three common phaau )zp)8bj jg;ses of matter are

  Density is

  Substance A has a de+ bggzi,.cx3n nsity 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 :3 cl9hvyz5gu unit of pressure?

  Consider three drinking glasses. All a/*1 gs q aamj k;x3bpqv70xt:three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wi amx ja;q :pbg7v3sqa1*xt/0kder 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 water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference bet kq ih*oq,pd51ween the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolh) (5la9xa qtpute pressure at the bottom )xp 9a(th5l qaof a pool?

  You are originally 1.0 m beneath the surface of 8xyz 2:wwh+:pq 2tdwf a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on you?pq:w8w2y txf2: h +dwz

State Pascal's princpogo*fa v/xmt0 (ia l( o *zlar:.rj+;iple.

State Archimedes' principleg 5lsxspdmn2i6* qr) ).

  $50 \; cm^{3}$ 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 intod3w iw +3n 3+uftk3kdhw ab3*llh(( jz water of constant density, what happens to the buoyant for*ad kz3 kwwdj f++tnb3lw33hu((ilh3ce on it?

  Salt water has greater density than fresh watesfpm.l ra7.f8r. A boat floats in both fresh water and in salt water. Where is the buoyant force greater onm. s prl7a8.ff the boat?

  Salt water is more dense than fresh water.seq c;-peb8:kntu b88 A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of wn;8qbb8p kse8etu: -c ater displaced in the salt water is

  A steel ball sinks in water but floats in a pool ofu5ojxxt1ifq5 maj4 r61e 8 0ws(/qgoh mercury. Where is the buoyant force on the ball greatu(1qr hmi5ox6/4q5eagjoj1xw0t fs8 er?

  A 10-kg piece of aluminum sits atlbf lk )l-2w1(vkd qs, the bottom of a lake, right next to a 10-kg piece of lead. Which has the greater b1qdks)k ( bfllvlw,-2 uoyant force on it?

  A piece of iron rests on ,-aru x;ea/utb 8,f oatop of a piece of wood floating in a bathtub. If the iron is remo/-,ea,;uft bu8 aarxoved from the wood, what happens to the water level in the tub?

  A piece of wood is float3 e0o05-rp t(lkrnvs2 : dyamiing in a bathtub. A second piece of wood sits on top of the first piece, and does not 2iea:sy t03 rk-v0nlo d(prm 5touch the water. If the top 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 thanaih:b -wylnq-;, 1ok .p kox4r at point A. Where is the speed of the water greate;kw h4,-ro liabo1p:-k .xyqnr?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twic2rbdk3 sth:6g* vn y6n g4d,pde its original radiusb* dgsp,2krtdv dh6y6: nn4 3g, what is the flow speed in the wider section?

  An ideal fluid flows at 12 +6cwz9r -opqym/s in a horizontal pipe. If the pipe narrows to half its original radi 9-c+r6z wyopqus, what is the flow speed in the narrower section?

State Bernoulli's principl7j9tr -yb n5bf- 2pfuagfu+q /e.

  Which one of the following is ax79/7 hots 5 dst9jpfqssociated with the law of conservation of energy in d779opqh5 t/t9 fsjsx fluids?

  As the speed of a moving fluid increases, the y(6ffi ufit, ,7-bcqp8iztu( pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger than t-c3hao5 k m*zat point A. otzca5 *3h -mkWhere is the water pressure greatest?

  When you blow some air above a paper strip, )zjup cz, gs,7the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of air ree mmf-:/ ,+k (hg-lg/zztve0ixe: nca sistance on hima-ez, i-mv/ ge/: gc 0tnzefm: h+lk(x is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a tal2jq8 w6eez 8w 86ho9nr n)h l0oihr8u)lo5qf bl toer2lfq 8e9z0b 8qjnn)58 o hwl hriho )ou6w68wer. Which will reach the ground first?

  When a small spherical rock of *pkb pk 2)v5i.rom 3ypyoy.4 tradius r falls through water, it experiences a drag fov4p.y.y5to kpym)r ib*pk 32orce $F=arv$, 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 fl4(4n uz4 xw:3pdpihi 2hupv/y (bnt-fow of fluid through a narrow pipe? That is, if you made a 10% change in each of n3-xb 2fpvwit p( 4u4hz/i 4pnu:ydh(the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the 5setew nnv5vw.21n a9cr.*uldiameter of pipu*r 1ww9lv n5eecv 5n ns2..tae 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, what is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twfs c,j /jw bt(7oljnh/f e;;9pa:f e:eice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. Itjpfnw/ajeob; jsl ; hf :(7/c ef:e,9f the flow rate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it o p1u0kqug-3f r(e; 9ugzjz 8uxften tastes greasy. This "greasy" taste seems to be associq z1ufpux-80g ;e9jzg(ur3k uated 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 to a height w rl3bqy8a minl:)vq,l km:; 4h. If the diameter were half as great, how high would the water riqlw34 i; 8:mlkmy r,a )lbv:qnse?

  Certain insects, such as the water bug, are sufficiently lightweight that they;xy2q4:v5iv0 u7o g9rlyl zfh 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 ag q 2fuv ll5x0i:z9ho;vyry7 4s long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficientlpu0yeh 5/mjlm z*xx0 *d:agkk9 7hs9 hy lightweight that they can run ohe 509gj*d/mk09lksx 7 h*pmy:hau zxn 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 maximum upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.5bebm-k ta 42r/fefhit r;(g3p8 )j cj00 cm has a mass of 30.0 g. What is it4)ff ei8jp5h-gjbkt ba2 (3 /r;tc emrs density?

  A liquid has a specific gravity of 0.357.kr0l8e1 / eq7paiay) hyu8h3q What is its density?

  A brick weighs 50.0 N, and measures 30.0 y b*o9,(diba 7onbz+lcm x 10.0 cm x 4.00 cm. What is the maximum pressure it abil7,+o(*ynz db ob 9can exert on a horizontal surface?

  A person weighing 900 N is standpl-d u xvo v*5lsb(f;kh*t6o3 ing 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 inhkdbe6 1-.o1dq xmz+x theoqk1.+- dmd1e6bhzx x ocean?

  A circular window of 30 cm diameter in a ti1ab czwees*z*3)5igdk,hqr; m2s( submarine can withstand a maximum force o2 gidwh)cebaq ,3tm*1;ksri e *zz5(sf $5.20 \times 10^{5} \; N$. 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 absol7 *z9eakc/ :oa;ucoemute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of s3*y ,zs vl;*pj6ca3x tbu*rw pea? (The densit*3clj*t *6 yru wb; ,s3pvzpaxy of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface of sea?tohe3qdibbfbuml r. :h- :54) (The density of seawater is 4bm5fqlrto ue i .- b:hh)d3b:$1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydju m y,k jxf d+*eo131-qxp;nlfg4c7zraulic machine. The small piston ha;f3n4o1 fmgzu,p*+qx k ld71c jje-xys 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 radiusevrv8 cx-6j 0l of 5.0 cm and the large piston has a radius e-clj xr8 v60vof 15 cm. 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 lifted by a7 5f6bgf)d76ekagexjtr3 * hz 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplf 7a *)5eef6tg3 r6jd7ghb xzkish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large piy6af .uc)4xg m-z(krzston has a diameter of 40 cm. The lift rm)xza(rf.4g6c-k u yzaises 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 weighsntp;z4hl3 4 cm 40 N in air and 30 N in water. What is the buoyant force 3hcz4nmt4p ;lof the water?

  An object has a volumb (3x vpev1i9bfcku/dn(tf. -e 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 q5p d4j.zkwfwuj-,j/while submerged in water. What is the tension in the string? (The specific grjf w.k u4,/z5pj-jdqwavity of iron is 7.86.)

  If the density of gold4bhtc 1gfmne 5.68cit 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 sub96a/x kr(tigt)ltn 3c 3by-mq marine (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 and 6.86 N when it is immer) 5lpul f9)hrjsed in water. What i)5 f9pl h)lrujs the specific gravity of the object?

  A container of water is placed o4 rt op1g2zp7bn a scale, and the scale reads 120 g. Now a 20-g pb 4 oz7tppg12riece of copper (specific gravity = 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 7g ,e qn/mxfrhfgnh(:c x3x1)2bl76nu r amg2 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 ix0l cdp a3l p/+hf x7zh1h h0*x7fn;bcm and diameter 2.0 cm will just barely float in water. What is its mafdn h/h*lpxch +z1a fi3;0x x0lbph 77ss?

  A rectangular box of neb5 wkragve y 2*4x8 pd5gs upgf)s:5x(gligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it ep2wv 8: * d axkybx)sf5r5gg4g(psu5 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 th5ljivy06u)ed*k7 kvo bdbw ;: e water. The weight of the displaced water is 2000 N. What is tvek;i b * ul67 5bjdvko0:wdy)he weight of the object?

  A solid object floats in water with three-fourpjto98g jm9 n.ths of its volume beneath the surface. What is j.tj 9gpnm o98the object's density?

  A 200-N object floats with three-fourths of its volyz *mcpk h+)d;rekd4 ,ume beneath the surface of theh4 ek)+d,d* zkcrmyp; water. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. k3pua5:v+3o a a2n70trtbpit What is the minimum area of the floe that will just suppo v3t3bt ap:7uar0+toa2 kn5i prt 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 tn4o;zyb3g 3th he flow rate.

  Liquid flows through a 4.0 cm diameter pipe a26oppf /ivhz 4t 1.0 m/s. There is a 2.0 cm diameter restriction in the li fov2pz h6i/p4ne. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizonta;st2 apv dj9um gdue5 9),acj(l 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 it take for a pump to supply a driq e;*7:9clqzsv -qvqenking fountain with 300 keq;z*v-qqv9 l:7 eqsc Pa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom okq8/4fswrzayd- w 2m7 6 d5yy:3z ptllf a water storage tank that holds water at a deptl7ykz am4 /d-ystq28r pw dy6l :wz53fh of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-secti tgohs 5vsc7(2onal 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 toa *o ,nkz.1-kistx(e f 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 thekatf i(-es1.k *,oxzn 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 oer+w * -3aob hf 3agsb9pk;5zof an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant bl sk*-zboe3 5;wp3hf g9a+robaood flow?

  Two narrow tubes are placed in a pandl;yz:u/z;kh 7-za i0 vxtn-f of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how hi y0ah-/7uiz-dfk lztxv; ; :zngh will it rise in tube B?

  The surface tension of water is 0.073 N/m. How h-+rp*0 yc ucldigh will water rise in a capillary tube of diameter 0+lc* dpr-yuc1.2 mm?

  232

  To what height would water x nz 0ex/30/m*tkcfd8vt wkz,at 0 degree Celsius rise in a glass capillary tube with a v*/0 ,0 tfkzzkdxec/twx mn83diameter of
0.50 mm?

  A narrow tube is placed vertically in a we 4 y0j)ud4rtpan of water, and 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 b jw0uey r)d4t4y the addition of some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m t5bfznrgnj si ;;9twuji*9 87and width 0.600 m with a soap film formed within its confined area. If t79 f*ujinr 8t5b;tw;gz9nj sihe 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 and width 5 cmfq- (6to. ur8jc rzu on.6qcv(, 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 requir.vrjo-zc6oqr u q.n c8((6utf ed to move the adjustable long side so that the frame is 12 cm square?