The three common phases of matter a/qn;o s45 fdwzre

  Density is

  Substance A has a density ofoj;3rhw8*szd $3.0 \; g/cm^{3}$ 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 xm4yyzg*(f ltuu/-l2 pressure?

  Consider three drinking glasses. All three have the same area base, andewfqspnf4-(;3 v-tiz hi :n jsed/9 :i 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 :fje:t h-i s9 d znv-n4sq3fip/i(;w eA. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and outsid jqlkx x6ni3pw 01i;1zfm,8eze a tire called?

  When atmospheric pressure changes, what happe.;l20taumfa kj6hf* nns to the absolute pressure at the bottom of a pfu6tma;akfjh 0n2* l .ool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0b **icswp*nh90 vpjq * m beneath the surface, what happens to the absolute prej *q9bpnhw v *ic0p*s*ssure on you?

State Pascal's princoxj y yq4oz1o1g-u9 a)iple.

State Archimedes' prixja/2frvy ;rxb)) guf-c fg8;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 constat c6qjx(ct)*h nt density, what happens to thetqjc t)6 *xhc( buoyant force on it?

  Salt water has greater density than fresh water. A boat floats in both fresi 1wdalrjka033w;w 3z h water and in sl w k3a13;i03 awrzwdjalt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh watu tsv97i 2n w6s8k rt0;xxosc*er. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced6it*sctuv2;9k0swr8x7 on sx in the salt water is

  A steel ball sinks in water but floats in a pool3h/ ,sxeh sdqx -a-pi) of mercury. Where is the buoyant force on the ball greater?sh3ipa-x q,s hxd-/e)

  A 10-kg piece of aluminum sits at the bottom izs kp i/ v-k*d7,lon+ck5v h7 )fpl,hof a lake, right next to a 10-kg piece of lead. Which has the 7 k,vl iv*/ hilpk5okd,h)7 sz-nc+pfgreater buoyant force on it?

  A piece of iron rests on top of a piece of wo:a0- s)u5qy8 fu*lorldd i fr8od floating in a bathtub. If the iron is removed from the wood, what happens to tdo*r : a8ludr58f0qfsi-ul )y he water level in the tub?

  A piece of wood is floating in a bathtub. A s;ar2 s9do88e4p qwtiy 0tu. hmecond piece of wood sits on top of the first piece, and does not touch the water. If the top piece is tai90t pr8s.2admou t w8 ey;q4hken 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 algco i6ndw -z1 ydt7)/t point B is larger than at point A. Where is the speed of the water greater? 7tnco6id- d/zl1 gyw)

  An ideal fluid flows at 12 m/s in a horizontal pipdp:-k(z r0u1xm x0au,pvtx9f. -b ieje. If the pipe widens to twice its origiuv 0zi e9p- x: d.0kxb( ap1-rxmfu,jtnal radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipes )80rx*rgoj - skrcf0. If the pipe narrows to half 0rfrg-) x0*8jrkcoss its original radius, what is the flow speed in the narrower section?

State Bernoulli's principle.dt rskzo10;q 39mxr/v

  Which one of the following is associated with the law of conserv vcm+iz):h ;joation of energy in fluidv+ i); ozmhc:js?

  As the speed of a moving fluid incrld2r t+06h hpzgm7 t/g(nc )fseases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B /):klb , giehw1bzv +iis larger than ,1gbb ivzwl h+:)ke/iat point A. Where is the water pressure greatest?

  When you blow some ai0izbbb p03r;kp+x wlw71rh e: r above a paper strip, the paper rises. This is because

  A sky diver falls through the air at termz5u0v;d1 ozwcx,u 6zninal velocity. The force of air resistance on ovzu; 6c5w1n0x,duzz him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from rcoeas6ohfn, g6);c 4a tall tower. Which will reach the ground fir 6hf;ceoancros4 ),g 6st?

  When a small spherical rock of radius r falls through water, it experiences a dr g 1k+kgnb* j:0hik,br:zujo9ag forc0ukzkj ngj:+ k*h1rbo g: 9ib,e $F=arv$, 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 narr0n6rg 4tbkhf f,l7 rw6ow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in thgt k rbh407w ,6fr6nfle flow rate?

  Two horizontal pipes are the samet*xjj ++zqk 2b length, but pipe B has twice the diameter of pipe A. t qk+2+ bjzj*xWater 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 pipe B?

  Two horizontal pipes haveafitzj, :;8y e the same diameter, 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 len;y8taeifzj : ,gths 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 c 3n:t.z4vn5snfczx5 pvqsho4j:g grb9. ; j:"greasy" taste seems to be associated with oil spreading out all over the surface of the sogp:nvh s:t 4g.fzn9n:r .3b55jxcq;4jsozcv up, 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 height h. If,uopz,buq.e8q b: 1 ;vi-t hmy the diameter were half as great, how high would the wate, v-qo8m;bpityuhq u:e. z b,1r rise?

  Certain insects, such as the water bug, are sufficiently lightweight t pl,ewef+w 7oyq 20,vkhat they can run on top of water without breaking the surface tension. Water bug A has weight W. Water bug B 7,kl2q ovepf+0yw ,ewis 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 ligdu8z rif)5t 2gu1z-tshtweight 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 that water bug B is twice as big as bug A in every dimension. That is, bug B is twice as long, ztr-8 fuiug tz5)2s1 dtwice as wide, etc. What is the maximum upward force on the feet of bug B?

  A plastic block of dimensions 27 y6 1.pypm7kg,r asnx.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What sm7g1p krya,pnx 7.6 yis its density?

  A liquid has a specifica nn9pixa98rruc0vh 8y o:ia 8t8(mwm0ig3 5y gravity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 4va) 2nk8o;;ddwdve(7eex tt10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontndow)x2;e4 7etkdtd v;e(8a val surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has a. k (0rw(:2yzycf vkmrrea $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 120.0 m3 w oao +r jr4xzalkx614bk,kyv5);cu in the oceanb4zwao 64o;1 5x,krlj auk3v y)rx+kc?

  A circular window of 30 cm diameter in a submarfae z*.y8vs,:4 nxkua c8czo )ine can withstand a maximum force of k ,c oznxz*:ac e4).fvs88ayu$5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure i4la80c3( mam1rreyot ioy;gmu 5j /t,f the absolute pressure is 300 kPa?

  What is the gauge pressunh-6hf,uem m ak-r2g( c-n h/qre at a location 15.0 m below the surface of sea? (The dec2eu qahg6 -, -rkhf-hn/nm (mnsity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pres8j)0 r)i lg7i1fhv z; p omlnrobh)k)(sure at a location 15.0 m below the surface of sea? (The density of seawater i g)0l))7 8 fih)hlbnooprm; 1vjir z(ks $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The wzmqw bdqr; h5 .lv93;small pistoqzwlw 3 5d;h9mb ;qrv.n has 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 lift, the small bz; h28cas9 ewiqb:e,) n*oetpiston has a radius of 5.0 cm and the large piston has a radiuse :n9 )2*hetaie,; wqsbz o8cb 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 lift5g8tvgkblkj(yx 7nrfno x6 p :s579b 6ed by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter pifn ok rs5bn8tl7yx9xjb 6k: vg6gp7(5ston to accomplish this?

  The small piston of a hydraulic4nqmx u l6eog 6,pe4* nhstik(, mcq09 lift has a diameter of 8.0 cm, and its large piston has a diameter of 40,ul6mqce4m9 n,ek60x th( 4qg osn*ip 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 (jhjrkh ((zk )cu*vmn5* 3tnyand 30 N in water. What is the buoyant force of the k)*tz *jhvm (uyk(53nrcjn h( water?

  An object has a volume ofk rlv5:0/wt (afb w*ct $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supported by a stri rk6yw-/vn ; rmhi,rn2ng while submerged in water. What is the tension in the string? (The specific gravity of iron is 7.86.)y,v/mnr2; ikrr- wnh6

  If the density of gold is4nzqd 1 1mp83ab/xv,1 p uwnmdll9,sb $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (density =qe+ w3.bjfv*w $7.8 \times 10^3 \; kg/m^{3}$) 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),cw x87ah k8dgce,am is immersed in water. What is the specific gravit) c 8gh,,eaxkmadw8c 7y of the object?

  A container of water is placed on a scale, and the scale reads 120 g2i61 7yjfrqfabz 7o 7h. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the water, not toq7jyao26 bh7 f7 rizf1uching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1.0 kg and density of +kadncwr.8y avl(4b jtgj 879 $2700 \; kg/m^{3}$ 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 just barely flohr6 x(jzo+/xo 00yytvat in water. What is its m t 6ry0o h/zxvx+oy0j(ass?

  A rectangular box of negligible mass;pvv6ytt;dz *1w ry5x measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loadedv*t1 rdx wv;py; z6ty5 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 of the water. The wei754:z 8fkpa,ukphhc0d s5 zizght of the displaced water is 2000 N. What is t iz u48hp:0kkhap scz5f,z7 d5he weight of the object?

  A solid object floats in water with tsck* +df,4/ 7e1 bgl)ohw vkglqxf :2jz4 /ewhhree-fourths of its volume beneath the surface. What is the object's dens+h 7ffh je/o/24lk 1gk,4 lcxezsvb w)*wgq:d ity?

  A 200-N object floats with three-fourths of its7k wf*fexzc5 - volume beneath the surface of the water. What is the buoyant force on tf5wfcxzk*-7 e he object?

  A polar bear of mass y-okz8k4 r04j( xw6 fpz2hrow 200 kg stands on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific4kjr-hywzz0 pxw r68o4o2f( k gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0ylud po)19,s a cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameo )rq.3u yi5meter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velo m5yi).requo3 city in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressuw:gk/+ wphe i;re 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 supxttwn*:d9q) j ro i(4yply a drinking fountain with 300 kPa, if the fountain is 30.0 m t4yi*o (9xwdtj q r:n)above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storagee/ jo3t:0duyqc xpt15 tank that holds water at a depth of 15 m. At what rate :xtod up0c5qj/31 yet will water flow out of the hole?

  Water flows through a horizontal pipti)( fplm9;df4j6 ooxe 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 0.20scy rmioo-x +m4/-d j: Pa-s. How long would it take to pour 4.0 L of oil through a funnel wixm: r-myi d4 o-/cos+jth 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, 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 decreasewg-b a.br1,go ,czl ;gd the radius by 10%. By how much would the pressure provided by ta1b ,;.olg cwzg,-rgb he 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 diamq0 vww5ow 8y4jeter of tube B. If water rises 24 cm in tube A, how high will i 45oyw vwwjq08t rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise inq bbfm:zy* nc8jk76isyu*lt(z 5cq9 5 a capill9(y cys 6b* m:qi5ckljuq 8t f*5nzz7bary tube of diameter 1.2 mm?

  232

  To what height would wahuts-62t (q iec87taster at 0 degree Celsius rise in a glass capillary tube with a diameh(7 ait 62estc utq-8ster of
0.50 mm?

  A narrow tube is placo tk suzoyv;sxc+).5 -bm62ybq y9z)led vertically in a pan of water, and the water rises in the tube to 4.0 cm above the level of t sl+m2)y z9y 5 cb .-xks)otqy;uzvbo6he 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 0.64zk5v k c78kys00 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how ky578 4kcskzv much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm a,3fwssapesi f 6g+8qe qwa,ket2+4d, 28caqend 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 surfack 3,2tsw fp+e wegeacq8 aa6f4,, es28sidqq+e tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?