The three common phases of q(w/x 8pxkgw (matter are

  Density is

  Substance A has a densityo pmb,rwimx+l8c+i4p xw p+6 / 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 p:n+,lyj ds,x,llx sp2 ressure?

  Consider three drinking glasses. All pk a)h.qa b70uthree 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 bottoq )7.p 0baukham?

  What is the difference between the p-n 4,u+vi tfi2t.eml zressures inside and outside a tire called?

  When atmospheric pressure changes, what hl(jge 6.tilt8 appens to the absolute pressure at the bottom of a pol it6 l.g8j(etol?

  You are originally 1.0 m benecid3;c1 :ato.j ov5vky f 0(wyath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on yoiov;jfavy 5(3tc1oyw k0.d:cu?

State Pascal's principl27cwj p,jn,0:2 hy*h+ ntg2yvfq sxede.

State Archimedes' principlezbm16 5n 9*qzjucw,d t.

  $50 \; cm^{3}$ 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) ;jblqr b/jb6gk6 / xqet4(na into water of constant density, what happens to the b(k)b/6l6axbbeqt; 4q/ rjjng uoyant force on it?

  Salt water has greater den6 aadyj -cf.b;( cyub,sity than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the boat?ay( ;,bcb6j.cufyda -

  Salt water is more dense than fresh water. ;bl5 ,whrw tc2 xiw3;h A ship floats in both fresh water and salt water. Compared to the fresh water, r5; 2lb w,wcit;h3 wxhthe volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool oz-e) 5;mg3 a8ivfulyxf mercury. Where is the buoyant force on the ball greuvf zmyx 5g;eil-)3a8 ater?

  A 10-kg piece of alum9u) ;ch xgk qq5lm(;qdinum sits at the bottom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant force o);q5(mlhcgk q;9qduxn it?

  A piece of iron rests on topn ri q.nd*aq.bfr5;8j of a piece of wood floating in a bathtub. If the iron is removed from the wood, what q a.*dr 85irb;jfnq. nhappens to the water level in the tub?

  A piece of wood is floating in 3e-/pt q y3w8bim,sdlxn tp *)a bathtub. A second piece of wood sits on top of the first piece, and-p8st t)m*xlbyn 3wiq3 dp/, e does not touch the water. If the 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 p8onrn k -sivk3 1qk/)xoint B is larger than at point A. Wh1 o / kkk8-n3irn)vxqsere is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pf t7:.j, hn.ed jzv9ujqnofmy6g:9 g1ipe. If the pipe widens to twice its original radius, what is the flow speed in the wider mj.1t nf :6v:dhg7nqg,z 9ujoy 9e.fjsection?

  An ideal fluid flows at 12 m/s ijuf p8hlz)mufap6ij 2wwx-o200 :4 53omijhi n a horizontal pipe. If the pipe narrows to half it: f lj52 - o6pm30piu4)fuj2zi xw0jaw8ohimhs original radius, what is the flow speed in the narrower section?

State Bernoulli's prisks8 wcp77 5oanciple.

  Which one of the following is associated with the law of conszkgtmp2*j 5-3m dj1jhg*6 kv7t 1oqsu ervation of energy jptjd uz*gmqv-kt 13mjh5*s26g7 k1o in fluids?

  As the speed of a movi *2qr27v/m(ziuhedjtng fluid increases, the pressure in the fluid

  Water flows through a pipe. s.p ijma+ 6ux(/ d3mkct e2tk. The diameter of the pipe at point B is larger than at point A. Where is thecumaksp/k e(2i6 ttx3jd..+m water pressure greatest?

  When you blow some air above a paper strip, the paper riseoxno3i 0b0(+pndx x u,s. This is because

  A sky diver falls through the air at terminal velszc y sr.pw .8:,g,o5lv8qwj locity. The force of air resistanyr,pq :zog5wlc,j.8s8 s w.vlce on him is

  Two Styrofoam balls, of radii R an4 l7jghm9,p jvc;lqe/ o4it 1od 2R, are released simultaneously from a tall tower. Wh ml47vo ,i4h;cetjq 9l/og1jpich will reach the ground first?

  When a small spherical ro6) o m4*nut.wf:mo9sc o idy wd*.jx :tpy/n(tck of radius r falls through water, it experiences a drag fonu): 4*wi:d o9 ttt (*6o/ .fyjnx.mpmowdycsrce $F=arv$, 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 nauc excip 65i y*hx3nya;(f+ 4hrrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest chy6h axu+fi ec4*n 5py;3 (xihcange in the flow rate?

  Two horizontal pipes are the same length, but pipe B has mc f-rpaegc) qve o1)f2a,i/mi6+) ietwice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressa fi1-p)oeg2), iicfe mme6/c) r a+vqure 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 j-,+og 1sg9)o fa ogglas pipe A. Water undergoes viscous flow in both pipes, suj) 9- oos1+glo,fgg gabject to the same pressure 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 often tastnp7 vxf 2:w mtf;ybzz;klzu:xr/, .t(es greasy. This "greasy" taste seems to be assocv.:w72,f:tx kfb (pzuzy;n zrm/ tx;liated with oil spreading out all over 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 heighg(w; :u1kkxvipt +p3p ,l0vtlt h. If the diameter w3xtlplkk+pp (, g:1v iwuv; 0tere half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight thn2g ie *b/fbu3at 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 wege*in/u f32bb ight of bug B?

  Certain insects, such as thzyo9n /p - l5nqzb:vc 9r/m+kae water 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 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 bn-/o: yr9 +zz/ml5cpnqb 9av kug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm has a mg9xlw* obc0; m w hs5/tx,4xbdass of 30.0 g. What is its density?4w9 xch, blbm*; xo0tw/sdxg 5

  A liquid has a specific gravi vnzgo b/ca(br(i.mizr6d0 1;ty of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What is)bw/u 6cjsb,8dhmb bxmb8++z the maximum pressure it c+b88b +xmjcm bbu6z,dhwbs )/an exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snre5 lc0uhfj3l+il06 - 4kp mun,1)(pa rnre mcowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (abso.ovh3avjpqdqmx4 ;43 lute) must a submarine withstand at a depth of 120.0 m in t. o34;j4mq3p d hvqvxahe ocean?

  A circular window of 30 cm diameter in a submalapdk2bx ,0 (svt: b-trine can withstand a maximum force(al,tb-:v dk20b xstp 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 pressure if the absolute ps rpi7kg 8gn02ressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m belo fia*ixvh.;:xw the surface of sea? (The density of fx;:.* ixi avhseawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15h r- 7g mi;*d9va,lq:caqr5wjmp8v(s8t rmf:.0 m below the surface of sea? (The density of seawate,:(8td jc5ah9r * mq;l8prqvimfga7rw: s -mv r is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. c y n 0ome0r*l4zfv:l- The small piston h rzefm00c l:-y4o* nvlas 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 piston has a radius of 5,+d9zo,+mct0 n as gti.0 cm and the large 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 nosat,z0+ti+m9 cgd , on the large piston?

  A 13,000 N vehicle is tu4xai7n 3s 8.buxxp5z o be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish3zx n87a4usb pu5xix. this?

  The small piston of a hydraulic lift has a diameterfa4+;5es/sw sfdv uj0 of 8.0 cm, and its large pisto 5jffsw vsd/ a+;es0u4n has 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 N in water. What is the buoyaki, * s yxgjq*ipe.::5gnq 7nnnt forc5g :.nq7qnp*,:jgysin*k ex ie of the water?

  An object has a volume o9;6lifm u3x rgf $4.0 \; m^{3}$ 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 whir z+s)5bya/7xb2yxa0j5lh z xrph91d le submerged in water. What is the tension in the string? (Th/ +yls x2zx507 1xhhaj dbrr5 pz)aby9e specific gravity of iron is 7.86.)

  If the density of gold:clj kpur v*ftl)v 332 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 (densit( j k(ywu k p+:d.cjfhs.+eum0y = $7.8 \times 10^3 \; kg/m^{3}$) 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 msin8mx z*f12 4:qeqdwhen it is in air and 6.86 N when it is immersed in water. What is the specific8 qedx*4 2mm1qz sif:n gravity of the object?

  A container of water is placed on a scal zsv(;in :6p( w; 2z80wsolxjxt.rc tee, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into theis z jz0s;ve n .t:ox2l68t(c(xrwwp; 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 de j-s7ik e*xqal31*ushxgix;ee, m+h7nsity 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 lengthq:r3sjw(q4biwq0/fr3g*v sf 6 4jmy j 12 cm and diameter 2.0 cm will just barely float in water. What is its mass?b :jqvifq0qr3w/ ysjfg j6*4ms3rw4 (

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 mg+ +7v olrkss9+z dou8 high. How many kilograms of mass can be loaded onto the bol9sz+8+o+ krdsg vu7ox 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 volumei ei*iabv 8fd:7w(q 1s beneath the surface of the water. The weight of the displaced water is 2000 N. What is thea 8q:1dv (be*iis7f iw weight of the object?

  A solid object floats in water with three-foi;x ,j*mvo5ekhv8 f w)c/zk(hurths of its volume beneath the surface. What is thi e jk c fx)(vk5m*;hhv/zw8,oe object's density?

  A 200-N object floats with three-fourths of itsltdp1/;4vnz; iwy /kw8x f0 sj volume beneath the surface of the water. What is the buvfd/ wkly;wi s/n 014x8p j;ztoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is the minltuk5 f:dzgt4k3pf ,9imum area of the floe that will just suppo :klftdzk94p5gt3, ufrt the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. Find the flow rate2 f ay.,t aw,(mocva/g.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. Ther:l)bixzb(et* s3v (kue is a 2.0 cm diameter restriction in the line. What is the velos l(bz3xe()iu*:k vb tcity in this restriction?

  Water flows at 12 m/s in a horizoy4c7k azn t2,h .k+alintal 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 0 t lc,2rulbye+zlh( 9take for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m rlebu2 ztc( y0+9 ll,habove the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that hold:rb 75hz e)nm3 gx+a ,ettblq+s water at a depth of 15 m. At what rate will waterz5 :b)qltbeta gmrhen,3+x +7 flow out of the hole?

  Water flows through a horizontal pipe of cross-sec 3lh 0a2l7tp95unh ooctional 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 tau,p/x 3rw op)bke to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assuo,p3/rbxu w)p me 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 decreac2 n.o vd:j(*pyfy tu6sed the radius by 10%. By how much would the pressure provided by the h y.t2unc*fy:6odjp( v eart 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 dm ezb 6ckh+bc z(t3-h5iameter of tube B. If water rises 24 cm in tube A, how hihmc+bb3c6z hkze-( t5gh will it rise in tube B?

  The surface tension of water is 0.0rs8i:.zzj7d2 .lol g k73 N/m. How high will water rise in a capill.l si:2ozrj 7l.8zkg dary tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius r0 ,yzmm1o j)dgise in a glass capillary tube with a diametemzom1jyg) ,d0 r of
0.50 mm?

  A narrow tube is placed vertically in a wx)fvuw-g:p h , *hu7upan 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 soapfg7* wuw-vuu,hx)h: p. 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 a soap fixuhp a.z z,0 pwow. -79axwt*slm formed within 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 mwth-* 9sz.axpu,.zxw7ow0ap side?

  An adjustable rectangular frame has lqxuxs*xc:ukuc + .q3,8zau92wwawf- ength 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 work is required to move the adjustable long side so that the 8x,q9uu uck acqzf:+ - awxs w.23wx*uframe is 12 cm square?