The three common phasesbm8 ,q khzwr4wgq xp8+9l+d 3c of matter are

  Density is

  Substance A has a densq4.t vzh:k55khdoyq,td v*h0 ity 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 abm glposbct 7g1y,n *.+1h w*not a unit of pressure?

  Consider three drinking glasses. All three have the samemfib7x hn+x2 (r.j q2z 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 q+zfbx2i rnj.2mh(x7 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 inside and outside lb2ah .p co*pb1 4yw xl:s:cx2a tire called?

  When atmospheric pressure changes, wha84 rse8:n6pc dz0p uvxt happens to the absolute pressure at the bottom of puz4v 08e 8d6rncpx:sa pool?

  You are originally 1.0 m beneath the surface of a pool. If fu 3ky;r rbt)+you dive to 2.0 m beneath the surface, what happens to the absolute pressure on yr3k bf +r;yut)ou?

State Pascal's princi4 e yks1x54xgb5- vatople.

State Archimedes' principl3*yxk;foeorf oqj3 o;xj23 y8e.

  $50 \; cm^{3}$ 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 iee rr r6014s/d0mzwl6n ca;m mnto water of constant density, what happens to the buoya0lwr 6c/enem;r az6 sm0 rmd41nt force on it?

  Salt water has greater density tha ycstu9j -8fa*n fresh water. A boat floats in both fresh water and in salt water. Where is the tj-uyac 9* sf8buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship flos rskk*;ol1trt+k q ;)ats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt rrto*1;qk; sts)+lkk water is

  A steel ball sinks in water but fl 5 enu6j3hpvv90.ug7w0cdc j noats in a pool of mercury. Where is the buoyant fo6 5n 90djv07e.u3huwg vpcj cnrce on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of ax9k (w7(srbc; 0b8oq53(aoxcymjtwn lake, right next to a 10-kg piw9tqy(kj(b s nxoxc o(mw8 ac3r5;70bece of lead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a pie p367e sedi k78z 5cj*7ey2sot)ct usuce of wood floating in a bathtub. If the iron is removed from the woo5*seid7 2 tczoe73kt)u86suy 7scep jd, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits on top cv ,*wf . m*l-om lk8g5b 1d.nuv4nfnoof 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 nvmvld-w ,goo l 5 f8.cknb4*u. fmn*1the tub?

  Water flows through a pipe. The diameter of the pipe ati ;a 5labdc:;+*qyf gr point B is larger than at point A. Where is the speed of the g5r bdiya*f;l c:+q ;awater greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widenp(j /(pff 5q3 yrtrwqzutt)28s to twice its originaz( y up5pqt trw3(2j)r/8ffqtl radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a hori d)mo9)o sk6x;xpfuri5mj 8bz.-: 36qikr abhzontal pipe. If the pipe narrows to half its original radius, what is the flow speed in the narrower sectio659 ho obk a.smf6dxi8pr;3kjb ) mqz)x:-irun?

State Bernoulli's princippb 64 ylf5wdl1le.

  Which one of the following is jkweg a0rpi24m 5 z1v:associated with the law of conservation of energy in a2 k5:wmigz e41rpj0vfluids?

  As the speed of a moving fluid increasefjy f*0rb,j 03i;onxes, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is4iq)i ex (o hsoc)y136wj k 5bnr5.smu larger than at point A. Where is the watey)4wjm kq6siis (bo houcx5e .r)35n 1r pressure greatest?

  When you blow some air above a paper strip, the paper risesz:jvgtkn) o /rpw6 3*s. This is because

  A sky diver falls through the air at tmd 6sx/09pi*z osoevwb0 ye:2erminal velocity. The force of air resistance on him ip2s o s90zei /x bomv6we0d:y*s

  Two Styrofoam balls, of radii R and 2R, i(n1c1-;qa;e mkijlt yb gc.*are released simultaneously from a tall tower. Which will reach the ground e njytc milc1qbg.(;-ik*; a1first?

  When a small spherical rock of radiuseq (o0sn e48by r falls through water, it experiences a drag ne0sb4(o 8yqeforce $F=arv$, 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 throuup49au9 y xp ij5kq86bgh a narrow pipe? That is, ikappxu 4u qyi 968b9j5f you made a 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 twice the diam 2j8d73bvbk 04wnqchueter 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 Awcv74uhdbk23b j0q8 n is Q, what is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as liua 3213cutjcong as 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 ia it3jcu23cu 1n pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes r9 s/dw*x8vz6rvnkoz, +fx * hgreasy. This "greasy" taste seems to be associated with oil spreading out*z/xk9s v6x,f* odzvnr+8rh w 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 p,h8e z (jx n(as:lori7xk ab,1laced in water, the water rises to a height h. If the diameter were half as great, how high would the water :eaij(x,ksb 7 xlo rah ,(n18zrise?

  Certain insects, such as the water bug, are sufficiently lightwe4w ,0u qykfl/wxc9( q:gsf/c zight that they can run on top of water without breaking the surfawc4/q0c (l:w/u ysg9fx, qfkzce 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. What is the weight of bug B?

  Certain insects, such as qiac-ac46m qx- 1ck*nthe water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. This is possible k q*6i ca --c41nqxmcabecause 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 4.00 cm has a mass of0jly+/y n cl1x 30.0 g. What 1cn+/l y0lyxjis its density?

  A liquid has a specific gravity of 0.357. What)rqw 46kvggo9xme/mufd0 i -- is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.03rz +bw4q h/f98cq jek0 cm. What is the maximum pressure it can exerbwrq+/48 e 9z3fqhkj ct on a horizontal surface?

  A person weighing 90gr1p pwq/wkd) /;b itr g)to+30 N is standing on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a subm9 coh; .lfw ortd)lqx86;qx1barine withstand at a depth of 120.0 m in the oceb r x1d6qho8wfco9;t.lqx)l ; an?

  A circular window of 30 cm diameteril-nk/lco tp5r :as r .(l7c,p in a submarine can withstand a maximum force of ln.p pl:l r /ci-,(5orc7tas k$5.20 \times 10^{5} \; N$. 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 pressure is 300 kPa?siikeit i vp9h 9r0t237 iv:*n

  What is the gauge presrqy p8l4ienb1okz *yl3 g,6:z sure at a location 15.0 m below the surface of sea? (The density oebp *l6y 4:rq, gkoy n3zil18zf seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surfa):*s p zps-j .sohr.drce of sea? (The denppz- *d h:s.srj)or.ssity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on th:x6*csk,ai drf3h90wph2o uhe small piston of a hydraulic machine. The small piston ha hxd0ou ih6ckwp *h2 sa3,:9rfs 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, t48oae h*y dc4;r;i+jc /vrrpd he 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 lijrv;eo i8rp ;d4r4 yha+d/*cc ft a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic pistonsvs a 1wi(o dpoex9*ga3h78-k . What force needs to be applikdvoi a7w 1*hopes3 a(x s98g-ed to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and itsmzyr7uwm :/0vf o0 mw- large piston has a diamet7 m wwvr-m/0ym:f0ozu er of 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 inkbw-lbhnp96y 58 /hab air and 30 N in water. What is the buoyant force of the wat b5bkn8/lhp6 9 -bwhyaer?

  An object has a volume oko)sizws-m ) ;f $4.0 \; m^{3}$ 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+v)p vips0n- w submerged in water. What is the tension i+-n v0v psp)win the string? (The specific gravity of iron is 7.86.)

  If the density of gold 6lt8iel+ 6ih(4ezngg (cos 64wop4 px 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 (den-ii7y)bb njx4 sity = $7.8 \times 10^3 \; kg/m^{3}$) 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 imme0gv+lzk( 7t:;in 7 cy:dxi owyrsed in water. What is the specific gravityi :gldo (w; ikn:y7x 70+tcvyz of the object?

  A container of water is placed on a scale, and the scale reads+j,g* p5bwkd fa-veb xf;,8 gk 120 g. Now a 20-g piece ,kb 5f+k*v,wx8a-jged pbg f; 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 and densqtmd 5n+zym1ur8 a/3l ity 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 diamedf4ji;9ja2 o b)vr m u06u+kheter 2.0 cm will just barely float in water. What is rv;au fub)jij 2 6h49omdke+0its mass?

  A rectangular box of negligible mass measurimz)vt4ywo2d : jkz5nqo:(0 ies 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be2v5zk):y q( izjno om4:0diw t 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 beneath the surface of the water. The we:mt-,(/k5cip prh xuha 1x3k6ze ty (iight of the displaced water is 2000 N. What(:xku1xe-m6rhtiy i z5 3/,ahcptp(k is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath lwan:g *i2xm 8 t)vf( 2x6q9x7fkvzwsthe surface. What is the object's dea2 2)fxtvv 8w* x7zl:fk (qnig9wmx6snsity?

  A 200-N object floats with three-fourths of its volume beneath the sur*dar6w;irjx0 face of the water. What is the buoyant force on the r 60wd i*ajxr;object?

  A polar bear of mass 200 kg ssx /ef u-/2qxntands on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of s e/qfx2sn -x/upecific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.ylh hd 7j.3d-m0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. Thems8r*s9g(nw8k 8h ;hmwno eh3re is a 2.0 cm diameter restriction in the line. What is tonw;*9 en gm( kr83hs8hshwm8he velocity in this restriction?

  Water flows at 12 m/s in a q m;pi(uujs ,*sz:7xj )-ejenhorizontal 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 ta5knty6m2ttub d1mb qv4b7t p9; 0t2vgke for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above t65v y9m2ubtb;2vt mgt0kt b4q71dp nthe pump?

  A hole of radius 1.0 mm occurs in the bot6/phfaf14cq m tom of a water storage tank that holds water apcqmfh1/f46a t a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectiowa-fb k (9wm8qnal 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. -vu)qio +opr- How long would it take to pour 4.0 L of oil through a funne-o-vouri +)pql 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 due to the upper part of the funnel.

  Suppose that the builr-be8 z11 5bj ftpjszqd9:kv;d-up of fatty tissue on the wall of an artery decreased the radius by 10%. By how much woz5: pvt-dfrej91b qj8zkb; 1suld the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan3on ogp)wpizu, h9s/(a9euj / 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 tw/u)( z9oh3n9p,s/ ioj epa guube B?

  The surface tension of water is 0.073 N/m. How high will water riseeocg6g j60 j9kp0+ 4dxh-uyxi in a capillary tube of diameter 1.2 x-kg4+ c dxhi p0e69ju0joy6gmm?

  232

  To what height would water at 0 degree Celf4yo/ qb /l,m fcy /27tji/ytbsius rise in a glass capillary tube with a diametb 7/i/q yf4ym tyb2o tfcl/,/jer of
0.50 mm?

  A narrow tube is placed vertically in a pan of k( kma-q1qx 9 sys7ge7water, 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 va 771kk sse9m(q-yaqxg lue by the addition of some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m andw 61)tei*jyt97 dqgu 963jwfnt9 td rz width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force does the soap film tfqtegrj3witj16u69 t79 zydnd9*)w exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and ijb2vn+ j)7 7m1p qgicas built in such a way that one of the longer i)2jbp1vg jmq7c+na7 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 12 cm square?