The three common phases of matter8 ;dzdy-jre p jrk4(,f03wsqbj5s 1x m are

  Density is

  Substance A has a densi)y ,g 6t-o,z ac2xvuoenju bslk 5*q,1ty 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 pressure? :homce(qrmr+ hliw lnc8)28 0z9(bs w

  Consider three drinking glasses. All three have the66l.sgp d /xkn 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 more water than A. Glass C is narrower at the top than at the bottog npd ls66kx/.m, 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 afcxj f/.i3-skz3gwwxks.xnk5a, ( 5 knd outside a tire called?

  When atmospheric pressure changes, what happens tovdlza 7,u*tv- the absolute pressure at the bottomv ,tu*avl7d-z of a pool?

  You are originally 1.0 m beneath the surface of a poqbgcgs9 uc 3kr,h 6w:/ol. If you dive to 2.0 m beneath the surface, what happens to the abso c,ub6q3 9 gks:/hwgrclute pressure on you?

State Pascal's princky 9 ;*pqb2a3/bgn exiiple.

State Archimedes' princial1b/t4nz:)a: nc6o b(f zvr gple.

  $50 \; cm^{3}$ 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 den:d3llp (nn0dt;bb2f1ka ; wh q*mscg 0sity, what happens to the buoyantbnt 3 (gddsah:*ln0fw0 ;b12;klcmqp force on it?

  Salt water has greater density than fresh water. A boat floats in both ,siv ux* :*fe2 mxtonfr +4qh,fresh water and in salt water. Where is the buoyant force greater , o4xfusv*f *rhqe 2ixtn,:m+on the boat?

  Salt water is more dense than fresh water. A ship flrie:s0e7*4wy a -mqk goats in both fresh water and salt wate4ry *:emqkiwa0s 7-ger. Compared to the fresh water, 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 thez 0lfilw0)fz5x nrxg1cf1)7wn* oq n5 buoyant force on the ball gre 1n 170x5f0o nwqi*)l l)gnffwc5xz rzater?

  A 10-kg piece of aluminum sits at the bottom of a lakeo8 m jt: t8)n*uq/1k5a lgyldw, right next to a 10-kg piece of lead. Which has the greater buoyant f/8tg*j a8:lyun qtl1do5 w)k morce on it?

  A piece of iron rests on top of a 32 kr 6sv( wekl y4mk08qi( mu4vd/diepiece of wood floating in a bathtub. If the iron is removed from the wood, what happens r4l3qei d8ekikdysv24(w mk 0v/m(6 uto the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of kb4vg162,xq0(q sie:y eu llawood sits on top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water6:v kq0( e eqsl 2gbxl1,ay4ui, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at poin2 dz5e fxdg:2wo) bu8fgu 34ymt B is larger than at point A. Where is buw:d428mf)o2xu gfd3zyg5e the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizfy4- 7na pnt im18mhz.ontal pipe. If the pipe widens to twice its original radius, what is the m a478my1-nh fn pi.ztflow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal piphjkc: g*kax.j5n(q)9ey8 si7zimq i,e. If the pipe narrows to half its original radius, what is the flow speed in th 7(5c.n kyqx8zq *,ekhai)i9jsi:mjge narrower section?

State Bernoulli's principlkn,d3b(7 skiee.

  Which one of the following is associated with the law of conservation ojc7u d+ s wp7eioty 7vb1zu;(uab ;t0+f energy in fluid+w1b v+j7 z7s uiadtt(;;ouc e0u7bpys?

  As the speed of a moving flukt(: vj xxu4a1id increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B .+ah0g0trt*eqroiluy2 t )5 yis larger than at point A. Where is the wateq)a0h l +e5oty2rtr y*0 uti.gr pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is becau jks3on6r +/z5 *udb 39wxrgxg j/5yflse

  A sky diver falls through the air at tersea1:x9nw aor:dd 8-d minal velocity. The force of air resistance on him 89-w:eoxaan1rds d: dis

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from a tallf67 wd fn,c3pq tower. Which will,n wdq6f7cpf3 reach the ground first?

  When a small spherical r.;jp9zekm fo-hh; 3xy ock of radius r falls through water, it experiences a dr -9z oy. p;hehxm;3kfjag force $F=arv$, 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 narrow pipe;rb2/jkj6bhh jq i3w 4ymmc33? That is, if you made a 10% change in each of the quan3hmwh2jb3cjyr;/6jbmik 4 q3tities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameti :eja(ykteymi8qu q: lx369 icfb,*(er of pipe A. Water undergoes viscous floijlkyef*9yu x( icti8a,q:q(e6b3:mw 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 diameterxjiigmd91h e4(yioa/9tv - . g, 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 leng(vjxie/.mo9gy t9hdig i 1a4 -ths 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 "greas:u8czi2q3gi*nu ve u 3y" taste seems to be associated with oil spreading out all over the surface of th3u3eqv*uzc ng u :2ii8e 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 hei.uhizwk4yq,ycgk f n z+05a. 0ke:m:hght h. If the diameter were half as great, how high would tk hz4+cw: aif.uy0 q.k5mn hzgk:e,y0he water rise?

  Certain insects, such as the water bug, are sufficiently lightweight th :57:gbyx eadyat 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. xbedgy7 a:y:5That is, bug B is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the wlwfhkl (ech:4mnf, p /dt* ;(aater bug, 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 t : mefca;nhk/(4pwhl(* ,tl fdhat 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 w *1qpmbb1:f2*h msxd99 /mzjq*qjs fx 3.00 cm x 4.00 cm has a mass of 30.0 g. Wh2s9* 1q* fjxm9/1*mf hj:mspbdbqzw qat is its density?

  A liquid has a specific gravt,/hir fl ,.ncity of 0.357. What is its density?

  A brick weighs 50.0 N, 4q8zywu68 n g7ld:dro and measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maxi 7w4r6dl:q g8yu8nzdomum pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has area rg+b8c7tbambt* ,vw an -6 w.z$2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 120.0 q/h /e ts,2 95bb j wh8gs6tgl 19r,glbyxa*zom in the ocean?w lb,*gl,s9qg x/z ehs5916atb8hb2j /orgyt

  A circular window of 30 cm diameter in a submarine can withstaok,8mhc/.9cdqk6zmcr gd.w;pvc.n ij: o n8/nd a maximum force of gpo8cc,mrqk9no k/j:dh 6dc; 8vcmz. iw n../$5.20 \times 10^{5} \; N$. 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 abshept;mw p5 ,h1olute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 moyy ,oybc7zv( 7 9ynn6 below the surface of sea? (The density of seo6y7 bnn9y(7 zcyoyv ,awater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below yq)4 qsd9hp3 nthe surface of sea? (The density of se9 qn sp43)dhqyawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the smal6 1mrj8auz /cal piston of a hydraulic machine. The small piston a jr z1/u6a8mchas 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 li:,,bf 5 mwk kd1loe/syft, the 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 limed5kkf l1wo: b,,/ syft a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25s6x:2vf ujad+ cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish ts a+u jd2:fx6vhis?

  The small piston of a hydraulicu/ymz *topay:4 k5je 4 lift has a diameter of 8.0 cm, and its large piston has a diameter of y:ou*e5zj4m4 k/p yat 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 buoyant fo1 8w4+ i39r*ihrwz(.bep zu,uu bdty arce o3a .ry8(i ,1b d utwr*bewzz4p9uu+ih f the water?

  An object has a volumevk;65r zh 6d -gf)rkxe 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 while submee 0q+d rimktlgk r4m )4zfl);(rged in water. What is the tension in the string? (Thel4 r;)(0)+gkzkm td er imql4f specific gravity of iron is 7.86.)

  If the density of go b97h (hjn(ihmld 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 steen7pzhrzd: 4 fks11/grl submarine (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 lpt6./ 3(l1e,wsctebjo 8 rdf2u nmg0in water. What is the specific grlljufmo t pcs1(, /eew2gdn08tr 3b.6avity of the object?

  A container of water is placed on a scaleuqql2xbp3xjj r c6+97, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspexljq qx brjuc963 +72pnded 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 deqt.i zt*n9ke 9 (t4vdkes;s2tnsity 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 wil1 *9g*uq q o.j8 1bsvjcuhxdx;l just barely float in water. Wh 8 uqh9*jubxv 1g*jcs;xqd .1oat is its mass?

  A rectangular box of negligible mass measures 5.0 m long3 l hjkeyymszm -kxq+-4) 2hg o+a:9ki, 1.0 m wide, and 0.50 m high. How manyi yh9 gjo)y++e lmka -mk4:zh2qk xs-3 kilograms of mass can be 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 ow utd 9xk13u9af the water. The weight of the displaced water is 2000 N. What is the 3 19uad tkuw9xweight of the object?

  A solid object floats in water with three-fourths of its volume beneat p p-u21b)pn*xl-*dkip,nkl th the surface. What is the object's densit)1*-du ,xkl p*2tp pilbk n-npy?

  A 200-N object floats with three-fourths of its volume beneath the f n:tgs7 y9+uesurface of the water. What is the bue f7 sn:tu+9ygoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is the min eef-lvl8d4tw.iu 0w0 t)wooqo9+sy *imum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of i y-wt09s.t 0di84leoufw*vw) ql e o+oce is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.h8k2bc; 2- buaa wnsa40 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipq 04 h+m-uf;glvh8g wbe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What ishml v;u4 gfhbw0q+-g 8 the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe wpr*5s;n:k e nqur+y y;ith 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 1m ovhryk6,n0-ydm+;u /hen z a drinking fountain with 300 kPa, if the fountain is 30.0 m above th 1;r ue-vn my,h/0omznkhyd6+e pump?

  A hole of radius 1.0 mm occe (kskd)9: pxours in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will ( k:peok9sx)dwater flow out of the hole?

  Water flows through a ho-7zn;awdgt4n0: i2 idds) 36m z/x uu)styd kbrizontal pipe of cross-sectional 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 tost5) j6 ytye,zk a4to5k0xnl ( pour 4.0 L of oil through a funnel with a n 05 kytx,sa6elt) ot(4n5jkz yeck 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 build-up of fishw9q 3 ngz43hs/(if atty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided b/ifi( sqzw9n 3hh4sg3y the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube Aii1 aejcdnbd661 g.s: has twice the diameter of tube B. If wan6s b61da j.gdce i1i:ter 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 h2guq.3l hu9n8xedn)g e ol9*vigh will water rise in a capillary de)o92x 8 *g ul.gnue q3l9nvhtube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rifpf 7ltps,u/)+ t7zwhse in a glass capillary tube with a diamet)/su lp+fw,p7 7tt hzfer of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises3ff78-mklx5 /5 p g)qbwmmzsd in the tube to 4.0 cm above the lm8 )fsbzdgp /5 mf7w5x 3kl-mqevel 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 0.120 m and width 0.600 m withpgcd 5 0mbtp7 q,4nld8 a soap film formed within t dpnm75p8 qdl40g,bc its confined 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 and wiq2g kfk*gn l3c*jqk/,q :upzv dg; leuc6z 6/;dth 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. How much work is required to move the adjustable long side so that the frakz ;zq g;g :3/lducug eqc f qk6nvj,6l*p2*/kme is 12 cm square?