The three common phases gxs6nil :r+1v ca(z3p of matter are

  Density is

  Substance A has a denn 72 bie8pjdb y5i ffk*4yqa06sity 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 fpa) eh; 6 dstiu7t6cz f*l)jx/3rap6is not a unit of pressure?

  Consider three drinking glasses. All three have the same area base, and all th/x- flee(n;r+ yxr*di ree 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 narrower at the top than at the bottom, and so holds l exn(yexf i d+l-;*r/ress water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and outside a tire called9fr;pfm +5q zm?

  When atmospheric pressure changes, what happens to the absolute pre dmntkb5hvc+0 7ol kxn*/b8g 4ssure at the bottom oc og708d4*nhkl+k/nbx5b mvt f a pool?

  You are originally 1.0 m beneath the surface of a cs /(ctaqr: 7kpool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on yoct/(kq: 7c arsu?

State Pascal's princfsc btv* s.5lxriqsh u -h65a*sm-(z; iple.

State Archimedes' princi, x m3n.labghc nr509 rm:;ln.q7inimple.

  $50 \; cm^{3}$ 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 ablf s i+)li+c-w4)imv b0lc.znd deeper into water of constant density, what happens tozcbl l im.b0w-vi4l fcs+ +i)) the buoyant force on it?

  Salt water has greater density than fresh wateuli 0ga (qv t.x:bs1y b6i5x*jr. A boat floats in both fresh water and in salt wav:*uib1t gxj0 q(i.ab 5 s6xylter. Where is the buoyant force greater on the boat?

  Salt water is more deb,(ug w.r)b8oii ;d) fcchf,tnse than fresh water. A ship floats in both fresh water and sa )i(,f.;iwhfbd ct8cug) ,r bolt water. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats pt ; :xygn niq:.5zil)in a pool of mercury. Where is the buoyant force on the ball greatey:pn. :gii)5 nxq; ztlr?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg piid,j blx.gdc5o*he h 2v/6dr 0ece of lead. Which has the greater buoyant force on it*5 e.d,vhj02 dgdirocxl 6h/ b?

  A piece of iron rests on top of a piece o-26y:s c7om vncu4cdzf wood floating in a bathtub. If the iron is removncy zovm2d-:7c u64s ced from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bacs gxwi0+t9v13: pc ktthtub. A second piece of wood sits on top of the first piece, and does not touch the water. If the top pie 9g+ikcp1vw0t: s3tx cce 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 ata j f5dcvm s+e4n/*kv/ point B is larger than at point A. Where 4d5*vk+ /vcm fe/sajnis the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe +d(tvir m*bitx /28gc widens to twice +c/d8 ig2*i ttvxbrm( its original radius, what is the flow speed in the wider section?

  An ideal fluid flows at h -*)qn3p vact12 m/s in a horizontal pipe. If the pipe narrows to half its original radius, what is the flow speed in the naratnc)- qp *h3vrower section?

State Bernoulli's prin;.04ndmzxmuo ciple.

  Which one of the following is associated with the lz5)nrmvrxh. 1w8rz.* g+ urb2gm b c7saw of conservation of energy in flu 5vrr zg7ub.+s2r.mb w ghcz)1m*nxr 8ids?

  As the speed of a moving fluid in4 n hu;m(+/ pevzk,lmncreases, the pressure in the fluid

  Water flows through a pipe. The ofb) 6sp8 0eq)uv:uwkdiameter of the pipe at point B is larger than at point A. Where is the water pressur6)sob8u) v0e:qp wuf ke greatest?

  When you blow some air abodx0z tdxittb06il+qz)t r+blcwoq 6p9 1 */6kve a paper strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force o95xjt l;k9,wcb-xn ksf air resistancewxk-tn,cb9 l;x9ksj 5 on him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously frygo g5xb;v vjeo.z(x /xx k bj5;.;p2nom a tall tower. Wh2g/x vyj;oxvp;5o(5b nj;g..ebxx zk ich will reach the ground first?

  When a small spherical rock of radius r falls through water, it experi1szv xf5tg :*t+6 rcwlences a drag fo5*tv rswx+ftc1:6z lgrce $F=arv$, 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 fluidab1n ;se q.p3dr *p0rs through a narrow pipe? That is, if you made a 10% change in each of the qu*1 qpn3rabp; 0sse.rdantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipeqts:o(,o3n5 k.o/o bgxcq;ab B has twice the diameter of pipe A. Water knq.xb, qa /os3go5 t(oo;:bcundergoes 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 pihoqb +4-8p t/shm zj/cpe B is twice as long as pipe A. Water undergoes viscous flo/q +b mchzh8-sj/4pt ow 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 flow rate in pipe A?

  When soup gets cold, it often tastes gvoyw. 8ct3- lu0f+da dw8mg j+reasy. This "greasy" taste seems to be associated with oil spreading out al og3 .t8ua-lyfj0cwm+8dw dv +l 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 risy:y1lju3ei l- es to a height h. If the diameter were half as great, how high would the water rise:yy -lj i3ul1e?

  Certain insects, such as the water bug, a,; 4zf*oeqhgu re sufficiently 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 di*g of u4hezq,;mensions. 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 bugs+j icvacxt33ebf(;2esj9 i( , are sufficiently lightweight that they can run on top of water without breaking the surface tension. This is possible because the water, due t j (f2e(xc+ai jb3sc3tive9;so 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 of 30. /watpyl123ha *fe o3t0 g. What is its densta a3o21*p/fl y3e whtity?

  A liquid has a specific gravity of 0.357. Wh2k x je.khc0noiu- k;k3p*he+px65 8e a8dwh dat is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm(qbg/k9jh o5q . What is the maximum pressure it can exe q9 j5gh(k/oqbrt on a horizontal surface?

  A person weighing 900 N is standiog8d:y thxu :n,m33gaek.5ef4mhw b )ng 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 m3v pbv7,xerntg1u1;g q(dm3wr tg-;h in the oceaw(btdrh 1v7vnem3x-p3r g g ;q ,;gu1tn?

  A circular window of 30 cm diameter in a submarine csot8q z36 4fq-l2ojuo an withstand a maximum force of286us4zjq3ltof - ooq $5.20 \times 10^{5} \; N$. 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?a n( um3.zsk6jnevr;g4o (s-w

  What is the gauge pressure at a location 15.0:jjaim6nj3zzt x:3n/:cp4n m m below the surface of sea? (The d ma3:zmjxz/n64 p:cnj:j3 itnensity 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? (Tf rh)tfwm8y u4 n)pn.0he density of sea)84 nn.m)0frwpyuth fwater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hyzog6cc;:hzs7 draulic machine. The small piston has az;76hcsz : gocrea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small p)uy q)amd2c+ kiston has a radius of 5.0 cm and the large piston h )m2kyqc)a+udas 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 the large piston?

  A 13,000 N vehicle is to be lifted by a*g3zwz kb7,py3 dvh5cgv 6t .p 25 cm diameter hydraulic piston. What force needs to bpt33g5v yb dgpz7cwz,*6k v h.e applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic l,iim k4-)fwtcgc /;udme sd -2ift has a diameter of 8.0 cm, and its large piston has a diameter of 40 si4t ,uf)g;c id ckde2mm--/w 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 buoyah -5 r.t(ywhqfnt force of thqr-.hwyh (f5te water?

  An object has a volumxq:hgmg3kv./yo 6 ezbc2 :p8 be of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid ir:cqv.38etsq3ht i6v3 kp k 9y vg4avk*on is supported by a string while submerged in water. What is the tension in thee83t gvkk334i a y *9pqks.q ch6vvv:t string? (The specific gravity of iron is 7.86.)

  If the density of goy2g)nahl rb73 x4r-t jld 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 submarinu/:0japak)m (d hcd.;mrm( e ce (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 immersed in yav*t m s, )ski*6;(dx;ysd ovwater. What is the speci*v),s;6;os *ymds(i aty k vdxfic gravity of the object?

  A container of water is placed on a scale, and the scale reads 120 g. Now a 2v1/qf 0ndc 1rg 2hj+w-z7tj ecazw51d0-g piece of copper (spec2v+101jn zw1g fjd/r cte7 hwda5zq-c ific 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 mase- t+xt.f 1f4g4 fuyuus 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 diameter 2.bmz ko 4no(3trz(ax9 40 cm will just barely float in water. Whatb(okm xtzaz o49 3nr(4 is its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m d2ggnsmd (4y6dgmt 98+ jnmj*wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks+8d6mgn tj29n (4dgmsyjm *gd 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 surfayh l(r c. fqf80ojmh 4vo2hd4(rxb2 8q:8b vgoce of the water. The weight of the displaced water is 2000 N h8lo2b(424: dyogq8rfm( c8.hjfvobhv x 0rq. What is the weight of the object?

  A solid object floats in water with three-fourths of its vo+ ty0g1ia .g9ekfl:jx lume beneath the surface. What is +x eifa:9 1.tygj l0kgthe object's density?

  A 200-N object floats with three-fourths of its volume beneath the surface of thhb 3zpyxixaz; )ou,89gw 8-g ge water. What is h38xg b)z gowx 9,;iza8pugy- the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice d;n )v9vu+s 0zg /h4yb8kdycmfloe 100 cm thick. What is the minimum area of the floe that nh d9g/ z yy uc0+v)dkmv4;bs8will 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 diametw49j/lf. k gi-(whsdz er 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 c./t2x s3rny0 xk w5rqh-x4 kxwm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the veloch 4x2w/snxq-ry.kr 0 tx kx5w3ity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressurem3x) 6ygt6dh) q2 prcw 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 pumpwk *r t; d+xrm9 o+):sfm,wuqn to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m ao+nwx ,ws9u:*)rtkd;m fm +q rbove the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water ij3h( h;h f8kn fdxjn4),d .x8pp0k whstorage tank that holds water at a depth of 15 m. At what rate will water flow out of )x8 hw8h n3i.p0p(f dx,kj;jh ndf4 khthe hole?

  Water flows through a horizontal pipe of cross-sectiou.8jyonf - 66hod co1onal 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 to pou(/6h wqujw2e;y nw+4e j78ni5n k tgxyr 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assume the sq4w/nkg u6w7 wne(;yje+yi 8xht25 jnurface 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 decreased .wdwakf *79x+zx mx l8the radius by 10%. By how much would the pressure provided by the heart have l8. km7wzx*d af9xw x+to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a p+ cwgwoxip1, 7y8a nk4an of water. Tube A has twice the diameter of tu,+cwygpw 417oaxki8nbe B. If water rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water 68d* b3bsi2 mia*rya :ey9xrp rise in a capillary tube spxbyi rm*ery9da3*b2: i6 8a of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass cae5kj.+y vqxh 1fwxl80pw7 zg9y7 g*n dpillary tube with a diamy*1gjv7q .dgne8+75k wyzp xhw90 l xfeter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in thd ,xzxeqskff;sv;l(e cn5 35,e tube to 4.0 cm above the level of the pan. The surface tension in the liquid is l ;;k nev5sfexcd3,, qxzfl(s 5owered 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 0.120 m and width 0.600 m with a soap xhrjszb x6(-oiku 1avep,37. 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 exert3bx-izu. s(7er1h6 o k,xvpa j on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and wl87cw,m is19fhak* )ilk 1 xhmt6+o lwidth 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. ioh l)x9ik ltmk1 61*+ hfa8wl 7m,swc How much work is required to move the adjustable long side so that the frame is 12 cm square?