The three common phases of md )y+ sjz7co;hatter are

  Density is

  Substance A has a densityd1/ynq+utc )kmy:pb* s98vjkwk h.b+ 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 u 0yx:q8exkzru:xp6 zc;e(8 llrrb* s7nit of pressure?

  Consider three drinking glasses. All three have the same area base, and n-i )r0m3 u ;.bvdsgcoall three are filled to t urci.30bvm o;s dn)g-he 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 bottom?

  What is the difference between the pressures inside and outs )xp :+d*tzi*5o pab mt,kesmguz028qide a tire called?

  When atmospheric pressure changes, what happens to the absolfxqx/o x:l;tb o,k p0,,.e ibaute pressure at the botkal /qxf;:0b,ot ,pobxx.ie,tom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If yotkx +halof5gy*.bd.h- gk 9y7u dive to 2.0 m beneath the surface, what happens to the absolute presy tagh9k. ho 57x.fdg*ybl+-ksure on you?

State Pascal's princi kzuy) q f2q)to(f rq.*auj 0ajzd*g1:ple.

State Archimedes' princip 9j rdv8r0mbt 4c1x(pgle.

  $50 \; cm^{3}$ 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 dec *x * u+li7yymurm-/feper into water of constant density, what happens to the buoyant f*/ y-*u7fumrc +imyx lorce on it?

  Salt water has greater density than fresh water. A boat floats in both freu0 i,j bek9)kcsh water and in salt water. Where is the buoyant force greater onb ku,0eci9j)k the boat?

  Salt water is more dense than fresh water. A ship floats ini a1km;jb l(:x both fresh water and salt water. Compared(x kmjali1:; b to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in aexqe 9+))f iok pool of mercury. Where is the buoyant force on thq+k)e ifo)ex 9e ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right nexthsdz,: kd*049aovft2dxzh :f to a 10-kg piece of lead. Which has the greater buoyant force on itdt0 2x *k z,::h hzvfs94fdoad?

  A piece of iron rests on top of a piece of wood wr. tsi(l72imfloating in a bathtub. If the iron is removed from the wood, what happens to tiwst2mi 7 .r(lhe water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sitdyr h,l5dd 5 expo6e0-s on top of the first piece, and does not touch the water. If thel-5peoed6dx,5y h d r0 top piece 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 at point B is largernt+2u jscz*8)o q6 ihj than at point A. Where is the speed of the cio2 j* tj+nz6 8ush)qwater greater?

  An ideal fluid flows at 12 m/s in a htrsd4ucdwr8xx/ ,6u/ orizontal pipe. If the pipe widens to twice its original radiusuc8,/u/ r4xw6 dxs rdt, 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; 3ym( jinney05z zfmwcsim 82v5-sn* half its original radius, what is the flow speed in the narrower section?*j2(c58 s3m em y;5zimnnvy0iswznf-

State Bernoulli's principle:91bk 17 pwhah cj,lrq.

  Which one of the foll d b4 ,w+va0gj-x9we8osdju*eowing is associated with the law of conservation of energy in flui* ,wj9svb 0ed+wuojxge8d4a - ds?

  As the speed of a moving fluid increases, the pressure in theme1n xxz-d1,ua6*w 3axpp/r n fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger thanqcu9z3r 8.r:d:mg4bu gmjoovh g.1e 7 at point A. Where is the water pressure grcvgjq9e1ou h3 4m8zg. o:7dbr mg:u.reatest?

  When you blow some air above a pap xkhn8r31m bu :7ble8jer strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. h,7 o(cllhc,gp* o )gg The force of air resist g h),* ghpccgoo7l(,lance on him is

  Two Styrofoam balls, of radii R and(+esi* ci a*oe 2R, are released simultaneously from a tall tower. Which will reach the grounc+ sa *eoi(*ied first?

  When a small spherical rock of radius r falls through wate*k :pww.ic .brr, it experiences a drag fw .pwi.kb:*rcorce $F=arv$, 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 onfd q50o.jcg5j dvi8/ h the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, /8v5fj0igjd5chq. d o which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has tb u*q5jv5q v9iwice the diameter 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 A is Q, what is the flow rate in *vq iu qb59jv5pipe B?

  Two horizontal pipes have the48j v,b 7 c25cmcj.fepk+lcmu same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure differenkc.54m u+j72cbcej8cf plv,m ce 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 greasy. This "greasy" taste seems to be of*yxz vr88 t/associated with oil spreading out all ovevt8zo8rfx*/ y r 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 rises to a heightr8:t f) nc cr2-f+chiyw+ rul- h. If t uw+-f-lr:fr2r 8c) ty ch+ncihe diameter were half as great, how high would the water rise?

  Certain insects, such as the water b k.e1h+z - * fgbfasx6k,b8 yw:ozg4n( hh,yuoug, are sufficiently lightweight that they can run on top of water withoutug-bs (fnh*zwheo y4kg86 h1zy. o:,axbf,+k 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 of bug B?

  Certain insects, such as the water bug, are sufficiently lib*sl y ,phl.8qghtweight 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 yshlq,p*8b.lupward 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 4.0 ir/yur- fqh 9zmf ss /kif7s sbaa::(m6c;-e40 cm has a mass of 30.0 g. What is its density?ecqh -6f -mifz; :rau4:yiss/k(/frsms 7 9 ba

  A liquid has a specific gravity of 0.35dtelo2 l ,t7wpr8a6. s.6*6vvi ajdgo7. What is its density?

  A brick weighs 50.0 N, l:3*wi ,q)g) tdcde4xoyxy 5 kand measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a htdg)3yd k)wlx,y *:xcoeiq 45orizontal surface?

  A person weighing 900 N is sng *)1(lmsor1hy1yq,t9clx gtanding on snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine -w(i bdf9 vsj6withstand at a depth of 120.0 m inis djvf-(wb6 9 the ocean?

  A circular window of 30 cm diameter in a.xn n5:ockc zs+ibb19 fpwt7c3c3coo*y0)h s submarine can withstand a maximum force of s1c90+3kb73y* owct.h cixpbo cfzc snn5 o): $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure wp9m9h ngt)a* if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (Theer*k w b;un ils:pn57 9j3y,yp lin3 9ny s* yup5 ,e;bwjk:p7rdensity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 1 ;-z 5 geohxl3q8i1*nx6cdbdeb;ltg/r/1 ajf 5.0 m below the surface of sea? (The density*b 8e;g1t/ x1df3r cx -/ge;ho qnb5zlidl6a j of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the sz)f1y o nx:jxc39s1m uvd0t4 zmall piston of a hydraulic machine. The small piston has atdyfz94c31uv:0 xx n jom1z)s rea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small piston has a radiu3(nn h71lku c2*c vhaxs of 5.0 cm and the larg *nl(3 uxh vc7c1khn2ae 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 N on the large piston?

  A 13,000 N vehicle is to be lifted 0/wb e eq c8qkgrs8b3/by a 25 cm diameter hydraulic piston. What forceb8g 3bk/w8cqrq ese/ 0 needs to be applied 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 i m0kh5nas:u :sts large piston has:s m0n:suah 5k a diameter 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 in air and 30 N56 edj4apvm,*ivihg2zy58gj in water. What is the buoyant force of the i*gim hp e 86,5a45vdvj2yj gzwater?

  An object has a volume of avae2+r va5-,yox 4b, 5ekzpd $4.0 \; m^{3}$ 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 submerged in gt 9csykb1a1(9z 7 ecdcxq,u0 water. What is the tensionqtgs9ucd9ae7c(, 10 bk1xyc z in the string? (The specific gravity of iron is 7.86.)

  If the density of gol 3;sdo9b z /gqf3+5e9arcen kmd 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 (dens/igpai+ -. xvsspr;ik* zg( 8dity = $7.8 \times 10^3 \; kg/m^{3}$) 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 6.8; 3psjrrknldc60i3x*1x j .b9n7f, ld y;ybdd6 N when it is immersed in water. What is the specific gravity of *n;0idn6yl;bd3r.jcpb7xk1fdxdj s, 3r yl 9the object?

  A container of water is place aicj8 :jq u5 0)xvm+ciap.m7o8htpv* d on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a threadj.vct+7xi*muchpv5jma8ia:q8) o p0 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 iz2jf,7+o) y;mjgz1h2 mb.x tulw .m ndensity 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 tgx pof2 d/dj 2fpxzj rl2eo/(. 8/y/c12 cm and diameter 2.0 cm will just barely float in water. What ex( pd//zcl 28p22o/tfr .o d/yjjg xfis its mass?

  A rectangular box of negligible mass meijkx:b4 dmc)-i k6p(x asures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded ontp-kk4 x:m6)b( j xdiico 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 benev w:n:3bx0 myk .m8b ylmt8,pcath the surface of the water. The weight of the displaced water kwyn,::tp8mb.c0 bv lxmy 83m is 2000 N. What is the weight of the object?

  A solid object floats in wat7sn/og(v ussevon. 5 3er with three-fourths of its volume beneath the surface. What is the object's densit37v ou(s/so. evnsng 5y?

  A 200-N object floats with three-fourths of its qmo saolzm9d(0),p-/j sz2gx volume beneath the surface of the water. What is th s gmxa2/do9-,sp(ljz qz0)ome buoyant force on the object?

  A polar bear of mass 200 kg stands on an icerzlmflzyl l1+64 ek:e( 5j(bk floe 100 cm thick. What is the minimum area of t+jl 6 kyef4l(5mz(r : ek1lzlbhe floe that will 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 dbn yb 4gra)56riameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diametekczh*y(l n m(z7;ej d/r pipe at 1.0 m/s. There is a 2.0 cm diametyz;jn/h*dc e(m7kz (ler restriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizont:vo oc v/kf-pmjw5e*(al 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 s v i):bbnivomiy )*( x78vr,emupply a drinking fountain with 300 kPa, if the fountain is 30ibr8 ) vib(e7mom nvx:y)vi ,*.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that holxox60prpq x ji-t/r8*ds water at a depth of 15 xp0r- xj*pr8tx 6o qi/m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectional area65fj*vu wk)x.dn6sl+ao5b6dy fgx 2 k $10.0 \; cm^{2}$ 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 sm o4,y1s+-lppii: md0.20 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 dli4:mms+ ,p iyp s-1oin 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 decreased;xxa f 5h/d+it the radius by 10%. By how much would th/ahtdxi f5;+ xe 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. Tube A has twice the diameter ofp kd0iow0s*/0v*lbi f tube B. If water rises 24 c*w fd0vo0/lbk*ii0psm in tube A, how high will it rise in tube B?

  The surface tension of waylbk.c (rf-wu q)g h-ml 4wcb8 e(j/q5ter is 0.073 N/m. How high will water rise in a capillary tube of diameter 1.2 h c8jr w4u)le-y c(-5q./lqmb(k bgwfmm?

  232

  To what height would water at 0 degree Celsius rise in a gla8b/.t* k gmzimss capillary tube with mktm z/*8gib.a diameter of
0.50 mm?

  A narrow tube is placed vertically gbi9/dqtziy8 a7m6cfe90a bce e1 h/)in a pan of water, 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 sh mzeiq f9 )7b/a9yt1b8i6edc c/ e0agoap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and+e hw3lozl w0* width 0.600 m with a soap film formed within its confined arzwol03 *eh +wlea. 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 rectangu j t4m6ckf+ m)yk5-zhalar frame has length 12 cm and width 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 m54f)6j+h zytkmkca -work is required to move the adjustable long side so that the frame is 12 cm square?