The three common phasd7n, ;oo 6xktses of matter are

  Density is

  Substance A has a den 7sv/ed-/eqkd qpyx4)sity 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 unit of p pp 6w b;kz nqknbg ,hm9;k)tomyl(2;6ressure?

  Consider three drinking glasses. All three have to .ubvo d1ipfn:aa++6 he same area base, and all three are filled to the same depth with water. Glass A is cylindricalpouvd.+6:ab+fn aoi1. 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 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 pressuresftg ; 7-hb48cygytt1 n inside and outside a tire called?

  When atmospheric pressure changeso4uy(6ch4 r4dn xb6 b w1 4w b;(qvzv1dxjn,gz, what happens to the absolute pressure at the bottom of a po(4b (1xquw d y444wvn6v1odjb zzn; bhr6cxg,ol?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m djir2(f,vdm) beneath the surface, what happens to the absolute pressure on you?vf(m ir2 dd,)j

State Pascal's principle.v(i z3aq8og 3d

State Archimedes' pric4tqapu ax r(ei,5l7:nciple.

  $50 \; cm^{3}$ 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 icq 4*)xpp :c wrpkg8(ento water of constant density, what happens to the pp*e:rp wcgck)q4x( 8 buoyant force on it?

  Salt water has greater density than fresh water. A boat floats in bopi s n8n5 tw;+cfp.5fr69x7heu ox 0,okbyr m2th fresh water and in salt water. Where is the buoyant force greater on the r0pcomow 95;6ebh r+ 2i f 8n s.tyup7knfxx5,boat?

  Salt water is more dense than fresqaxu+:i 2v8- gbz y+yzh water. A ship floats in both fresh water and salt water. Compared to the fresh w i8y+-z:2+ya xbquz vgater, 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 i/ v)lrh4y (ozthe buoyant force on the ball greaterhroyil() zv/4?

  A 10-kg piece of aluminum yghs6g3ib1x qv yvy-h9(-yk7 sits at the bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant force ykhg- v7vyy sq-y3hb(9xg i61on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. d,6gwm7qmfdsa/bq1 8 If the iron is removed fr /w qmdags,dfm1b8 7q6om the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. Aprwb.n 5s7qee0a0ie+ a 9c9yl second piece of wood sits 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 water level in the tub?+e sye 5rc 0l. ai9e90bpqn7wa

  Water flows through a pipe. The diameteri7 k4tnzs0hpi 9gf- z( of the pipe at point B is larger than at point A. Where is the speed (fpsh7g9 ini04z- ktzof the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pio5l ib;vlygl w o):*k-pe widens to twice its ori:yl*kol o vwg5)il-b;ginal radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows to mwcti )c7hif.6+)zg +z7irvnhalf its original radius, what tz7nc)6v.g rzifm+wci 7)h+i is the flow speed in the narrower section?

State Bernoulli's prinow;+4ms rwq ei (qur s8(2na7dciple.

  Which one of the following is associated with 7u a j:x*;atfwt.+s lsthe law of conservation of energy in f+al 7uj. :fstxaw ts*;luids?

  As the speed of a moving fluid increases, the pressure in the 8t/69gdy kr6yh ,odd9x;mgzdfluid

  Water flows through a pipe. The diameter of the pipe at point B ic/y + - c(0rd+yk3jbcmqldn, ws larger than at point A. Where is w /djd rl- 0c 3+c,y+kqbnycm(the water pressure greatest?

  When you blow some air above a paper strip, the paper r :uirqb-y5;ue (0kxzs ises. This is because

  A sky diver falls through the air at terminal veloc,yuei x.rwujl 7e; fm122 vd*bity. The force of air resistance on hiiflyeme . 1wj,x2uv ;r2u*db7m is

  Two Styrofoam balls, of radii R and 2R,e*2l74: ki2 hcdjdhnk are released simultaneously from a tall te4dk l 2j dk7ic:h2nh*ower. Which will reach the ground first?

  When a small spherical rock of radius r fqn w o 6( gkzwjwbf8o g(*o+)5/s*gxwnalls through water, it experiences a drag foz6(wq/w)kgb8+ *gn( f5snx gw *jooowrce $F=arv$, 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 narh;2y55l*grlk fp/4pfr uvf2srow pipe? That is, if you made a 10% change in each of the quanhlrp;v2p 5 gs45 u/f2yfk* frltities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B hc; s26cwm,tv aas twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject tc t2s a6,mwvc;o 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 s y w.g*9pa5 n/;ey6bpf9ofy qsame 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 lefpy65wbpa.9 /yg*qo y9e n s;fngths 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.xq;iz 6wco0a ; This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globc ;q; 6oa0wzxiules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is gb /xr6jda;pau9 - n/wplaced in water, the water rises to a height h. If the diameter were half as nr/u9 a/bx6 gpwad;-j great, how high would the water rise?

  Certain insects, such as(1nytv nn06m z the water bug, are sufficiently lightweight that they can run on top of water without breaking the surface t1y nv (znmtn06ension. 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 lightweightrcd )c6l 7pazc lx/etsq5er+t6k(d8) 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 maxc85z 7d6x)lr l sketdec/(cp)6+ ratqimum 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 maq04qcnr)5iefp c fa aj56q4 /hss of 30.0 g. What iq4hiaqc e4qr/f c6)fpaj 55n0s its density?

  A liquid has a specific grav 5)kl4(a+.g(n txjz- wxveqg oee 97bxity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 etgq z0li.kax y 326t;cm x 4.00 cm. What is the maximum pressure it c.i2 tqy6e 0ltkax;3 gzan exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe hasxt r 9qv 2eq59izdtc0+jo 07ot area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (abf(c s(jm,)y kjsolute) must a submarine withstand at a depth of 120.0 m in the ocem c,kysj()f (jan?

  A circular window of 30 cm diameter in a submarine can withstand a maxi n3b.l8chujr2 odn.amkht*a,k *. 4je mum force of.h*ejunm kltd ahn,* ..8 ac3obk24jr $5.20 \times 10^{5} \; N$. 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 p c-f45kmf tupu1*og;iressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (The i* k,4kllfc(t g/pf5izk( (lddensity of seawater (lkkt((lf/5*, igf dc pzki l4is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute presshxns0k*t v/a*u ) 4nm)b7q nonure at a location 15.0 m below the surface of sea? (The density of s)u t0vnn4) k*b7mhq n*aox/n seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydrahv nnj/*fmljb/ 8k sz;.91 oznulic machine. The small piston h o1k vl9 hj;/n8/jn.fn*mbzszas 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, x3r.6r 8oaddw ) 3fov fzk:ws2the 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 f:dw8r f3os wd23ovk z)a. rx6N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hybr; ygx :sh-2fn:o8ibxmk ,-s draulic piston. What force ;8s- nb-xyxbi rs:h:2mkgf,oneeds to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a12 ,cs 0 axewlecctyl(4 nx:(c diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load el xs2x wcet1nc cl0y: ac(4(,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 airr hes w9pi 42vbew2k/sf+o7 (23tplwn and 30 N in water. What is the buoyant force of then(we7 wp /r2op2sv2+l49f3tkseh ib w water?

  An object has a volu(usti+ .f3 fntme 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 stsmijdj 0+kww)9u+ e7wring while submerged in water. What is the tension in theu +wjw+iw97smk 0d) ej string? (The specific gravity of iron is 7.86.)

  If the density of golhp 3 nbe-kyt*ol.pw, n 48;vwsd 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 (density(rl67z ip fpz( = $7.8 \times 10^3 \; kg/m^{3}$) 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 6sh u/q g8yerjkv-u /1 ewq.80r.86 N when it is immersed in water. What is the specific gravity of the object? ru rjuqv/sy0he. qk -/e881gw

  A container of water is placed on a scale, and the scale reads 120 g. N;fvz )2yiunbtme vlc48)x) b 3ow a 20-g piece of copper (specific gravity = 8.9) is sue8) b;c xnzv imf vy4t3b)2)luspended 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 kgp10wa((8w6 v6yqp zhmy er d8q 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 mwa qj7u y:a029t:os mand diameter 2.0 cm will just barely float in water. Wha:a7jm a:mwq0 o2su9y tt is its mass?

  A rectangular box of u-w-kf 0g4z zb0 +9l jsjikdq2negligible 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 beuqj 4-s di0 +9l-k20z gfjwkbzfore 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 water. The wei(:kni ,nqz.g0ktpb m,wovbt6*d0j : cght of the displaced water is 2000 N. wv0n* tcjb kqo0,i.( bg:t ,kmpnd:z6What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath n u 3ie2e5hd(w kqaxc /dj4z*/the surface. What is the /edxqcad2k*huz nj5 ew43(i/object's density?

  A 200-N object floats with three-fourths of itrw:l6 (h0gsiqs volume beneath the surface of the wa(0hwr g:l6is qter. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice fl ,kxvmggi l;.u1cod5 )ixwi;5oe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwate,;mgcikioi; .5g v d1x u)lxw5r of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.to +z3 wk;ot6pz un:qpc11a*v0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0bvwwk mr 56ib ,w7e/.g cm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in thi rww,ve/gb. mk5i67 wbs restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressuqmz9w+t,n2wvo 7 ma59wmjn p/*4ihokre 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 suppl4zfqm5l)5vkc ; oqf,vy a drinking fountain with 300 ;kzf4v lq )55o,vcmfq kPa, if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of aq7/w,mnf3p* a3 rlwlx water storage tank that holds water at a depth of 15 m. At what rate q3lmf7lwx pr a/,3w* nwill water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectio6nu or0,lv ;rdnal 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 wipe+k 9v+4kiof 0.20 Pa-s. How long would it take to pour 4.0 L of oil through a funnel with a neck 15 c4ekiv +9+kwp im 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 the wall of an artery i3l)i*my6icb ;kxa. r4kq p50 8xrowadecreased the radius by 10%. By howq5pi6i;x*3wr xlbka4k. 0ai y)o 8cm r much would 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. w(qm (uzpi86 aemrvhfx 4t7 b216 ecy-Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise in tube Bxec-6 v2 pb mfi (hr 1(aem86t47zwyuq?

  The surface tension of water is 0.073 pdijwwch 67j:b;t/u 60nj rd+gt:-bxN/m. How high will water rise in a capillary tube of diameter 1.2-w7hd+ p:j /:0it6b bjr6jxc;ndgwut mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillxa.-c 0atmbvt-f;j + uary tube wi ;tjb- aca0tfu .+xvm-th a diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of wat sya,g.ym*)f5 cawfk1er, 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 by the addition of some soap. Wh aymsyka5)cf f *gw.,1at happens to the height of the liquid column in the tube?

  Consider a rectangular frame ofg0yy(zvc,: va length 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water y,avvy: cz( 0gis 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 5ms)pz :g8u sntgl*mp68y(:/ kjt5bym 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 reg:mj6mszn 85tpk *y)yl st gupm(/:8 bquired to move the adjustable long side so that the frame is 12 cm square?