The three common phaseso/ 2j*zu t4kqb of matter are

  Density is

  Substance A has a densit43hr 1kg vf8md9d)2zoeucqk*1rn2n uy 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 pt0m8lpjt f+o7ressure?

  Consider three drinking glassess c:d) hox6fy67k n*ig9a/xie. All three have the 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 bottom, and so holds less water than A. Which glass has the greatest liquid pressure at the bottomi a h7x)fe 6*i/xnksydoc:9g6?

  What is the difference between the pressures inside and outside a tire camtjg ro(vh .fy1a(p5,0fj wi4lled?

  When atmospheric pressure changes, what happens to the absolute pressure yvpv9j2u ay;/ at the bottom of a va9/v jupy2;y pool?

  You are originally 1.0 m beneath the surface of aa*er u5-2p9uoi akc s5 pool. If you dive to 2.0 m beneath the su2p 5ai acr5u o9*s-ekurface, what happens to the absolute pressure on you?

State Pascal's principl;l- mb5uu7nte e.

State Archimedes' prizf* cq1r.e et.cfa47w 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 into water of constant dek8w r :dyv3n +5doriv6nsity, what happens to the buoyant force on itiw 6nr:v83 5kr+dvody?

  Salt water has greater density than fresh 2+r9ll-ul. gj2ru oal water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the boat?l l. r2u+og2lru9lj-a

  Salt water is more dense than fresh water. A ship fa:lx8 -f:jl6rf/t f jlloats in both fresh water and salt water. Comparej:rx/flltf -:6 j8fl ad 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.+yoyp4ipl zm7qw*0ho c u1 pqxc4 3q/9 Where is the buoyant force on the ball gr9 qpx7 + 4opyw 41 u0yqcizh3c*q/plomeater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg u d*cmh96q.w npiece of lead. Which haucdnqw6.*h9m s the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a tia-n1p- mz-l.b/gv vbathtub. If the iron is removed from the wood, what happens to the water levela t- zp.mglvbnvi-1- / in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood syik8z 9 5szs 6mhh-i5oits 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 i hzkz sh-6o8955iyms the water level in the tub?

  Water flows through a pipe. The diameter 49crhx ;rox sbk,d-3 sof the pipe at point B is larger than ad3 -kbsx4; ro9x hc,srt point A. Where is the speed of the water greater?

  An ideal fluid flows at 12 mv*a kk5. h)irv/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider sectio)v ir5 kh*kva.n?

  An ideal fluid flows at s wpexvuw5( vuc3 dg0 .h3ve;jy0j1:t 12 m/s in a horizontal pipe. If the pipe narrows to half its orw1pvyee .x v0(u0 s cd 3v5j:wth3guj;iginal radius, what is the flow speed in the narrower section?

State Bernoulli's princ(cs,;8 sd gqxkiple.

  Which one of the following is as ffr3xc8cps d895g i3tsociated with the law of conservation of energy in33ffs88i5rt g9dc xpc fluids?

  As the speed of a moving fluid increases, the pressure in f9ysee( oekg8 6b1qk, the fluid

  Water flows through a pipe. The diameter of th2 a g:;zrlzjipg 6a.0ue pipe at point B is larger than at point A. W2gg ap zrui0l6;:a.jzhere is the water pressure greatest?

  When you blow some air above a paper strip,xo eya8 pd.29r the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of air resist ;uk/ eg (yqu5nkv:)ooance on him is/)oku(e;5 yv:qk ougn

  Two Styrofoam balls, of radii R and 2R, are ad +pnn (-r8kxreleased simultaneously from a tall towerpn+rad8 -(xn k. Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it experiences a+ 06lu: . vbaddstxma1psh3o - drag forcev 3sstu:lba-0 p+xd6hm. od1a $F=arv$, 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 xnru2tm 3x70m of fluid through a narrow pipe? That is, if you made a 10% change in each of the qtx2m3n r7 xum0uantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same lekggw:az 5 wy23vy wies3*42kongth, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the samek kyi2v 5z3wag3yws:g w4o2 *e 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 twice as long aoyani.l f21 o4pd7ivga20,) j zm+rlws pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure diffevaa1i 2n,iw o2.lml)4frzg+0pd 7ojy rence 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, i)xdg-db t g/q)t often tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globudtgq-/g)b) dx les. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water rises tocng; 22v j. xsi6vmb3j a height h. If the diameter were half as great, how high woul ; 3.s2vix6 mcb2gvjjnd the water rise?

  Certain insects, such as the water bug, are suff2;4y3 k g2umo yejbsc;iciently 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 dimensions. That is, bug B is twice as long, twice as wide, etc. What is the weight ofy43; jb;cokg ymes 22u bug B?

  Certain insects, such as the (b4g kdgq8 6 9x qilru5,b(livwater 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 suigi 6 l4qb qkxg(u95dv,b l(r8ppose 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 mvq)re d(2i w*xass of 30.0 g. What is its densitqvw*rxe ()d2 iy?

  A liquid has a specific gravity of 0.357. What is its density?muou w.ve5ain*p cs6i;r2e bbf.a 6-/

  A brick weighs 50.0 N, and measures 30.0 cm x j5 74nlqfc5nl 10.0 cm x 4.00 cm. What is the maximum pressure it can eqfj 575l4lncn xert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has area3;ncw (h;8www de0v lv $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 12kcg5zugql*4 v 5ysbl2 is fa0qi839f)0.0 m in the o9ykz2fs0 f5* gsac3uqv4 8 i lb5)lqgicean?

  A circular window of 30 cm diameter in a submarir9 cz3ksq)8bene can withstand a maximum force3qzcbs )89kre of $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge prerw 5f4px l;78d p,xkzopa* cy.ssure if the absolute pressure is 300 kPa?

  What is the gauge pressn,nf*:rx z:9b 7y drliure at a location 15.0 m below the surface of sea? (The density offr xln9: dz*nir:,b7y seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.o /rldypkk f s28 170v;soixu20 m below the surface of sea? (T k;10p ykdi27ufs8o 2volxr/she density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on t +j 5uw+bco/m:,h 8(ebrkgfk 4n repn2he small piston of a hydraulic machine. The small piston has area+on:( 8 m4ekrbcfj hkp,2enb+r/w5g u $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small pisto ykvn xc )l)s ))/y*wfk;g2uhmn 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 oy)yl) s;x kum)2) kfgh*w/cvnrder to lift 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 piston. What f.k,a1ehr4qnj cp-k3i orce needs to be applied to a,qek3rc .a h i4-npjk1 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its llt ;6lmfw1*d farge piston has a diameter of 40 cm. The lift raises a load ofwtm;d lf l61f* 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 wa/rj c l7jqf4.phbkt,8 ter. What is the buoyant forceptc4j/,fb jlk.8q7hr of the water?

  An object has a volume ofkgt6)mtfh x0 f5 u-a 1nqew:/ :nd4e3djm 9vrp $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid r* thkfd5 sr/c5vv: h;u;q:friron is supported by a string while submerged in water. What is the tension in the string? (The specific gravityf5 v5 vhf:/tqrrh ;udk*r:;c s of iron is 7.86.)

  If the density of gold mm ( wiqz6ej);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 (densitf anzi .e7ax7ix):*:g) swilry = $7.8 \times 10^3 \; kg/m^{3}$) 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 a(+hi4zx i(ujl ir and 6.86 N when it is immersed in water. What is the specific gravity of the objectz (hj(u 4ilx+i?

  A container of water is placed on a scale vm9ai1n77xfbgh : cu wf-:fo2, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and loweredamv1-n9:b7ifwc7h fgxouf : 2 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 ( l3kuf:8ndouv /g 8k enxx;b+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 2.0 cm b c8tjh;uh:* nza/3wt/2oe b6 1 0kqwf pac1qbwill just barely float in water. What iscw 0/ cb*8q31j q/ pbobz2ekwu1:;htnah f6ta its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50v *qqj7wyw-jgkq 3js0 0qxe; 7 m high. How many kilograms of00qyqs*-7gjwqqj ke;jw3 vx7 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 y7y2m4n-m :xbgmmytt , dt(*dthe surface of the water. The weight of the displaced water is 2000 N. What is the weight ym7 mmddxybt*, : (t4tn2-ymgof the object?

  A solid object floats in water with three-fourths of its volume beneage0ac4/ l0((rnsi wp uth the surface. What is the object's density? e ncpa uws((0/g0lri4

  A 200-N object floats with three-fourths of its volume beneath the sv/f 1lnb bwk1 ux.31j m4wys-yurface of the water. What is the buoyant force on the ob3s1u1ywmk4-1 fwbx b.v /lnj yject?

  A polar bear of mass 200 kg stan)3boe,.j1lo+k bwbnr8 v /g npds on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1wvoog1jn/+kb83lr,p nb eb .) .03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of di o3hpau9as u--wl45/ix(d5auw nx xy 1ameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.08+;c3*frj, smj lqc fr+ o,yun cm diameter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocitn,+r+8mcjf ,*ry uf os; jqc3ly in this restriction?

  Water flows at 12 m/s in a hor;7r9yb sv +oo8 msgp0p1 4jjlpizontal 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 drinking foug )l*if,h bv ux/cn7h);g(m bmntain with 300 kPa, if the fountain is 30.0mbvn7ulc *,)xghm)h; bgfi(/ m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank e0y.0milr-4yll gwqazx8; s u w qf2/tsup9.( that holds water at a depth of 15 m. xsr2ww8p-uaum(ze tq;l09/qy . l0gf l yis.4At what rate will water flow out of the hole?

  Water flows through a horizone6i:x b- .hupbtal 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)rt6o 69 dvkbinwm- 6 (ls2ati.20 Pa-s. How long would it take to 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 abt6( a2i6lbmi n)w-ok t9r dsv6ove 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 * y h9/tbzv8.kl2nh ybthe wall of an artery decreased the radius by 10%.*b8v/92b zh.hykl tny By how 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 wef4c z.fdf7d1ater. Tube A has twice the diameter of tube B. If water rise dcdff.4e7 1fzs 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 rise k c7dr9 iz6yb0in a capillary tube of diametezrd 60k9c yi7br 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillarh1, ,g8 dpitvzy tube with a vi hg1,z,pdt8 diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of wata)y6z7. lf6m n qqhe)ner, 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. n)qnmyqzea7) f.h 66lWhat happens to the height of the liquid column in the tube?

  Consider a rectangular frame of lengdnq,a/g6jt63l) 9 aypwuf6z j+ j.ickth 0.120 m and width 0.600 m with a soap film formed within its confined area. If thec6+6apa)qg,nj.y f jdk tzw3u/ j 69li 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 -rn p57kfnj m3)-riwc 56scum 12 cm and width 5 cm, and is built in such a way that rk5 n mj)37frpncwscu6i5--m 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 frame is 12 cm square?