The three common phases of matteg ld72;hc8,bn3n,+gky m sy qhr are

  Density is

  Substance A has a density dom0llc+z 59a nbh1+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 a3p9g nwjaket a987;v i unit of pressure?

  Consider three drinking glasses. All three have ;i)0kiop+* uj b ;rojythe 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 soobop*jr)uyij ;;k+0 i 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*(:tvir vaf s/ between the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the absolute pressure aycn3s kek 3h5,t the bottom of a pool35y 3s kenhkc,?

  You are originally 1.0 m beneath the surface of a pool. 7 0vm*qq4b g (kfpo6jaIf you dive to 2.0 m beneath the surface, what happens to the absolute pressure on yaq6gbf *mo(p 70kj4v qou?

State Pascal's principld.0/o;tzjo boe.

State Archimedes' principl2okc0 20s kd*rxmdcg-f/l9i2(rxpbdlib -u6e.

  $50 \; cm^{3}$ 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 density, whft9x wyc(f 8.cat happens to the buoyant forc fxcf 8.yc9tw(e on it?

  Salt water has greater density than fresh7aj ss a p7je4,xz6d3g water. A boat floats in both fresh water and in sal4,6z77aep 3gjdssxja t water. Where is the buoyant force greater on the boat?

  Salt water is more dense than frd gg(/ykm0g +fesh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt watg0f +gg (dyk/mer is

  A steel ball sinks in 6p63p9oas ea av5h(+b 7c-rp qkoa6 lzwater but floats in a pool of mercury. Where is the buoyan+cbpov p-aqr66 5 sha e36o(azaplk79t force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lakes-5aa)bn5scuk q *y;o , right next to a 10-kg piece of lead. Which has the greater buoy5b*) yanc sa;u5kqs- oant force on it?

  A piece of iron rests on topc)pxpzb) 1n8n ps 3cm06yfy1 ecf5f/b of a piece of wood floating in a bathtub. If the iron is removed from the wood, what happens to the myp fcy /3e60pns5cxz) b b8)1pcff1n water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits onye; 9p5yy.lcvpt: -e r top of the first piece, and does not touch the water. If the top piece 9.-py lptr ;v:yyec5e is taken off and placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. Twsb:.ahhsay yobg53 4 j+bf 72he diameter of the pipe at point B is larger than 7bf4.h ys w2s3a5bjog+y :abh at point A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If tq -5br4pn f9keg4/xavhe pipe widens to twice its original radius, what is the flow speed in the widnr 4-pxk q/vg95e a4fber section?

  An ideal fluid flows at 12 m/s ixgv0f t+(t4il n a horizontal pipe. If the pipe narrows to half it(4tl i0ftg+ vxs original radius, what is the flow speed in the narrower section?

State Bernoulli's principlepq6masgi s: c1hf,6t9h * bg8u.

  Which one of the followine:q cg+v gvdp ,o. sjii3)j0i+g is associated with the law of conservation of energy in flui + e).0iq:ijvsjgogip+3d c, vds?

  As the speed of a moving fluid ina,z8oebi) z 89 sf;*k,ff dlhwcreases, the pressure in the fluid

  Water flows through a ax :n3jyo6kig +ak1y* pipe. The diameter of the pipe at point B is larger than at point A. Whe yoyaa g6 *+1xn3kk:jire is the water pressure greatest?

  When you blow some air above a paper strip, the papeob- pi(miq-i6r rises. This is because

  A sky diver falls through the air at terminal velocik ud . /+akrqasz7n(a6ty. The force of air resistance onqn+( 6d/ zar.kka7su a him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously ,dhmkrl w7;/1rxfx *gfrom a tall towk,rw7 f/;lhxm r*x d1ger. Which will reach the ground first?

  When a small spherical rock of radiuclx(v om9p f4ivsy2 * izh21.es r falls through water, it experiences a drag 4pv(*m9h 2 zsl1i eiyf.x2cv oforce $F=arv$, 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? That r5wh sy *gx/8bis, if you made a 10% change in each of the quantities below, whichgrbxs w5 8*/yh would cause the greatest change in the flow rate?

  Two horizontal pipes are o0 x-,aytptdsa( yf.a:c 5p2b the same length, but pipe B has twice the diameter of pipe A. Water undergo 5dp-(aatcxtfp2 sa . yby:0,oes 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 pipe B is twice as long as pi z:;qk 7yeihs1pe A. Water undergoes viscous flow in both pipes, subject to the same pressuk 1qi se7:;yhzre 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 often6t -khj:.sner(a:alsdms uhcj 4(m /, tastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the ams/6hcm(:ssk(j h,uj na:-lrte . 4dsurface 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, 1m h rk osdaq;28yj(l 0*o0e6z kbum,sthe water rises to a height h. Ifql(a*ub 2 8d1k0 6zo yrsej;,kmso mh0 the diameter were half as great, how high would the water rise?

  Certain insects, such as the water bug, arem k/t8x8eiz 6n 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 bimikx/ 6nt8ez8g 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 s agmox68p m 1(waphrm98vdjf+fa:6 x-ufficiently lightweight that they can rungafmrwm1p88:(pam 6vdo+x-6f a j9xh 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 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 dimeq3)xz 8tdeyekb b)pnc1f(8) : zpu2pansions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is it)18z(f: p bky2)e3d)t8c qxznappe bu s density?

  A liquid has a specific gravity of j2z)fqk, fcu; d yq*h2(ffw eu,5j h3ujd50le0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. Whc;*km9vdyl:gs3x e1 ym 7k/ nqat is the maximum pressure it can exert on a horizontal surf:y g /ykedn1m 9ms3;*qxkv7clace?

  A person weighing 900 N is standing on smgmfc(j8q -6o nowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand ats4 xg+ 2 f/ibmcwcv0f) a depth of 120.0 m inc2 ) +wf4/s ifgcvxm0b the ocean?

  A circular window of 30 cm diameter in a submarine wu2r6(od.b7h k g f9lccan withstand a maximum force or9.6gol uf7b 2d(h cwkf $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pred boi9;;ivt9n 0 (bc6:x fwein)/n*mrxrz,hxssure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below :czez 2x*d 4cythe surface of sea? (The density of seawater*cxe4 2dzyz:c is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m beloxl (f748fv5 etc9yh p3kxfbu (w the surface of sea? (Theyp (( 8t3kf hc7 xx95blefuf4v density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits 8d j,jv j6ogip8x0 j/won the small piston of a hydraulic machine. The small piston has are,o8jj p680g idwxjv/ ja $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage c kj e*qm6z/ 0kryd7f/lift, the small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force m yfrkk 7 zc06/ed/jm*qust 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 25 cm diatq0s h/k0 1c nk-t 1ihqonm.0jmeter hydraulic piston. What force needs to be applied to a 5.0 cm diameter pcqstq k1./0 -ijnhth om001kniston to accomplish this?

  The small piston of a 8a3tt5z q 1whbz)z0oyhydraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,000 )z1b8zo zq0a tt3hyw5 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 bucy;rf2j3 a+c/x/rkb58r xa force of / c/ucr xk52y3xjba8f;+r barthe water?

  An object has a voluf9ry1ugq gd ed2kk6fi z-6t 57u .rl-ame 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 submerged in watsvlvlu05x4kwhfuz./ luq ,6 h;( 6rv cer. 4l x ,6crwuvv/ ulhu5v;zk(6s .h0ql fWhat is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of go s m22i4oq.xnkld 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 submari3 9ohncz.gt uoqt ;p79 +ds;nwne (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 eow(k 8f qk:5vhv(sj p-)gwd sewwk534:ud -iis immersed in water. What is the 8eiu: hvs( :k - w5w3pf-ovwedd() kgjq5wks4specific gravity of the object?

  A container of water is placed on a scale, )h*fd07 gmgws-zob 3 zv6v k*cand the scale reads 120 g. Now a 20-g piece of copper (sd**zc7m hvv 3gsgw o-f6b0kz)pecific 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 m(.jmst d l/6hc,) zzsof 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 2.0 cm will jusxblua0zu1mw/ hip+nd)o x i6 4 pe*5c0t barely float in water. What is its mawmoe 4 a0ui)hlu16xin dbzp5 0x/ *+pcss?

  A rectangular box of negligible mass measures 5.0 m lm:gb( d th)le82tv dx9ong, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be lm98 b)thld:evgd(t2 x oaded 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 ozc9x jwn6 tv jnp.wld o8h8-id)598xff the water. The weight of the displaced water is 2000 N. What is thw6xh8j)l9x 58vw. 9ic8d jpt zfdno-ne weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the z/f xf 75 uxufe*a*e 3cdal:p8surface. What is the object's densiuxaf8defzex: 5a 3f l/**upc7 ty?

  A 200-N object floats with three-fourths of its volume beneath the surfa78 g7u mwwpmcp g,i/)kce of the water. What is the bc7g,mmppk) 7/ w8 iwuguoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is th vg 0n6htad mm bi*7.y0pq2p-fe minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.ygtp*f-iqav7 0m2 .ndh mb06p98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. Find the f1.sugckwhv5t+b 9z: 30hd evhlow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm 74yh)w dpa*dg diameter restriction in the line. What is the gwy a7d*4)p hdvelocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe witae c5ws,yr2c0+rdi w(h 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 t5(-yuov2u y)mkmpmse1r u 76vake for a pump to supply a drinking fountain with 300 kPa, if the fountain is u-myr k 1m ev2v 75pumu6yo()s30.0 m above the pump?

  A hole of radius 1.0 mm occuw,3q jdl*x-q/ayr2b7tnko t 2rs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will waj ,lkxd-t oywqqn*r 32/ta2b7ter flow out of the hole?

  Water flows through a u gnegu.,:2+j l-r ugqhorizontal 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 longn .c/,7nocptduc lfoqu(3 )5o 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 above the top of the neck,c q(cufd/)tco5 lno pu,.n37o and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up of v9zbu3f k uv 7g:l7tt)fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by t9 v7fkb37v u)zg ltt:uhe heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube At mesw,5jf7k9 has twice the diameter of tube B. If water rises 24 cm in tube A, how, e kw5m9stf7j high will it rise in tube B?

  The surface tension of wat)wvifi6t8m f +i6k2gver is 0.073 N/m. How high will water rise in a capillary tube of diametw6+2i)v fmg6 8kt fivier 1.2 mm?

  232

  To what height would water at 0 degrvap .)f(gr k xjxlt; wf0be/+(ee Celsius rise in a glass capillary tube with a diameter ofxfa ) bgx(.(r w+p0ft ;ev/klj
0.50 mm?

  A narrow tube is placed vep2x u1gde:ip:06nihpycei zt5t)b;9 rtically in a pan of water, and the water rises in the tube to 4.0 cm abgee dn)ih1ti0p6py;i2cx p5 bz:9tu:ove 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. 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 0gf.li q7 yfrmv bp(,4a soap film formed within its confined a07fvlmgqr4,iy.pb f (rea. 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 cpop2)nb 2y6u6/ :vtxmg+sx kgh;9hpxm 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 work is required to move the adjustable long side so that the fopg2p vb+9n6ps tyk 6u;x/hxh: )x2gmrame is 12 cm square?