The three common phases./ 0mbmc0 1llmuplmx x(;o3gl of matter are

  Density is

  Substance A has a denst;i e- 0*onwbgity 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 aogx +q sb:-/ /5oyeiot unit of pressure?

  Consider three drinking glasses. All threewie : yf:. ;3xhnbue3oyn8hm: 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. . 3ym n ;:3e:8uifh y:bxwenhoGlass 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 insid8sm5rb.ngxlbp.h f l a)7y /(je and outside a tire called?

  When atmospheric pressure changes, what happens to t1squ0 s a-yq7jhe absolute pressure at the q-a70s yqu1 jsbottom of a pool?

  You are originally 1.0 c0w q*uilbca a/g,z8( m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happe g*ba(q/czlc a0w,8uins to the absolute pressure on you?

State Pascal's principle., n nhrzpeyqj+08)1 ho

State Archimedes' principle8 5nvcc.t jn*(gvs l6zeaf8 qozav6l1wz5:o; .

  $50 \; cm^{3}$ 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 con)m zx90 brry7nstant density, what happens to the buoyant forbmr7 zxy 0n9r)ce on it?

  Salt water has greater density than fresh water. A bpiv4 h(sn )9h d stp7//-wphbzoat floats in both fresh water and in salt water. Where is the buoyant force greater7h(h9bsnpt - /) i4hzwd v/pps on the boat?

  Salt water is more dense than fresh water. A sh)y e;jkco :,ggip floats in both fresh water and salt water. Compared to the fresh wa, ckg;)yg:ejo ter, the volume of water displaced in the salt water is

  A steel ball sinks in water but ff;cybza g:/0l loats in a pool of mercury. Where is the buoyant force on t;aylb/gz cf0:he ball greater?

  A 10-kg piece of aluminum s/us)66 k0y p6/ xt pm)ux tp6klmkotemnr* .b+its at the bottom of a lake, right next to a 10-kg piece of lead. Whichkk6/./s pxo )0 r*ytxl6 6pnm6utkbm)e+mtup has the greater buoyant force on it?

  A piece of iron rests on top of a x7h ,3 o6m5 jsoax cyobcqb1p*6b8.ae piece of wood floating in a bathtub. If the iron is removed from the wood, wop5,.am6xye bjb7b86 3sho qaxc o1*chat happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wc *5 w/rb p:mo/i-2y-zkmtb,7bsx jujood sits on top of the first piece, and d/p w/kbbs- : ry-mom *b2ix75jtzucj, oes 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 a8wor f6: ss8 fmiig0ivd,,zplmo- 4r+ pipe. The diameter of the pipe at point B is larger than at point A.+8i46m -0rsvop:fo df lsim8, iwrz,g Where is the speed of the water greater?

  An ideal fluid flows at 12 a dse *28kqm3bta8xwkxz(;u7m/s in a horizontal pipe. If the pipe widens to twice its original radius, wm3 xxk (7 *qkat2uez;8b 8asdwhat is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If thx m*;d6 0y2rspfq;bp ob*t)rj e91zcne pipe narrows to half its original radius, what is the flow speed in th;poq 16*zs2nb9fmd e*rtyb px0) ;c rje narrower section?

State Bernoulli's principlhk6 p(z( 1osyxe.

  Which one of the following is associated with the law of conservation of env1 cyti- 1o p9cfs bcns2jf229ergy in fluidsct -2fj 9 1s2iybpcco91 2nsvf?

  As the speed of a moving fluid increases, the dwtlr2i2o 8 7jpressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger thanyvw ;ep ck l)7t5c4y vgsabx3v/(l71l at point A. Wha)5gtk3b; 4v/ l cexl(p l1cvv7 7swyyere is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is bem ::s+s5jv v6hc ;qwjjcause

  A sky diver falls through the air at terminal velocu3 vpbq9jc 4v9ity. The force of air resistance on him i9 v4qcp3v9buj s

  Two Styrofoam balls, of radii R 70wt:vm m bd9kand 2R, are released simultaneously from a tall tower. Which wi7 d0:mwb9mk vtll reach the ground first?

  When a small spherical rock of radius r falls through water, it exsbife4qw6j ixp.* l d0sf01v )periences a drag forcelv*s.0 416)0 ejdpwifsxbifq $F=arv$, 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? Thopz8b, ol*,;fw bb4:nv g,co me66mtb-s cx, bat is, if you magobo68, mcxnbezm4,fb ,vw;*ls- to:,b 6p bcde a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes tdb.qz94 +g - 7vahonvare the same length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, sdzt74 oh-vvg9 +na.bqubject 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, 8bexlr bk) 8;a+cx9p z3j2txjbut pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the xaj8+82t)cbrk;lbx9 jx 3zep 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 tastes greasy. This "greasy" taste sug rh fj0:b)a+eems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", th gj0ah:ufb+r )is is readily explained in terms of

  When a tube of diameter , ie4:paywt.o d is placed in water, the water rises to a height h. If the diameter were hal4wpay ei:o. t,f as great, how high would the water rise?

  Certain insects, such as the water bug, are(2 *pklsuh*qg-wu ,xi 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 big as bug A, in all dimensions. That is, bug B is twice as long, twice as wide, etc. What is the weight of w*ugl ik*q, hs-2(upx bug B?

  Certain insects, such as th uzbj(c:ntm :qv1yym 3 .+dww6e 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 maxim+j1 t3 (qyz c:mv.dmyuw:w6nb um upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cnmlacz+ ,8 3ed7 xhsw9p/)fct m has a mass of 30.0 g. What is its de3+stcm d7z9cxpwl f8/n,)hea nsity?

  A liquid has a specific gravity of 0.357. What )fq-6a j5wepo;kdj1p8sul s.cxo* )) rmvu b+ is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm 5)4cn apev e,dx 4.00 cm. What is the maximum pressure it can exert on a horizontad)eep a,5cnv4 l surface?

  A person weighing 900 N is standing on snowshoes. Each snowl pd px:j:.r7)nkalw4 shoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a de * *.lm ,kwvpz nkm m(,slmskojq33d32pth of 120.0 m in the oceksmdsk(pvln, *m .m2q3jw ,ozm k3*3lan?

  A circular window of 30 cm diameter in a submarine can witttj331 c ktfi:hstand a maximum force oftcit3:t jf31k $5.20 \times 10^{5} \; N$. 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 absolut)- ,hex(4 4yr k(mcp f4oatgjre pressure is 300 kPa?

  What is the gauge pressure at a location 15.0z8flng xw-xc,nq5+lvu 0hw: k3r2/cw m below the surface of sea? (The density o+ z-3rc:/u850wwxq cfwvgn l h kn,2xlf seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m belvpa irxr9:h 4;y.dof3bi2 o 5f;,oascow the surface of sea? (The density roidfoh.4o;32:5 ry ip a,xvs; bc9faof seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits t3wuod d;b/ihl .mf-3 on the small piston of a hydraulic machine. The small piston has b hod3uf .;mlt d/-wi3area $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the smz3mq mcqg6dx t6m :-p-all piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must bd m-36zxt pcq :m6qgm-e 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 diameter0cd3 miwoj-6 77 fickk hydraulic piston. What force -7f6icdw0kcki 73mjoneeds 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, 3hxw + s+;zjb8fepv *uand its large piston has a diameter of 40 cm. The lift raises a lov8 ezuh*wpxbsj ;++f 3ad 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 weigh( kg st.v+yc;os 40 N in air and 30 N in water. What is the buoyant force of thc. kt;(o+ svyge water?

  An object has a volume1l z 01v(ysykw 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 wmgxg1+iz :ctc, vtw-4hile submerged in water. What is the tension in th+mv- wgcitt:gc 4,zx1e string? (The specific gravity of iron is 7.86.)

  If the density of gold qxqi*rc qp+):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 (denndf/k amgv 8h4yu3n bi8 *:u:rsity = $7.8 \times 10^3 \; kg/m^{3}$) 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 is immersed in wg 8ehyg;/f dthr -ed29ater. What is the spec gg h;y he8-d9/fr2etdific gravity of the object?

  A container of water is placed kfyn 5dq0gsxsb)j+lp(sos-*2 a :t t 0on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a tgy+5ssl) ab-kpotj(d2fsxsq0t *n: 0 hread 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 density of x8bfl u cl0y0.rvw l24$2700 \; kg/m^{3}$ 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 leng/6wq 2ca); xu6 7em kujnal)mebb2s6lth 12 cm and diameter 2.0 cm will just barely float in water. What isjux;u6laeq)2wabm7k/celn 2 ) 6b s6m its mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.mr2jbdke+f2 *al 7+qx50 m high. How many kilograms of mass can be loaded onto the box before it sinks in akb x+*jqr7e m22a+fld 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 wlmok, 2nfg,g 7eight of the displaced water is 2000 N. What is the weight of tgm7l 2,, ngfkohe object?

  A solid object floats in water with three-fourths of its volkihi1v(,t ynhiv9(3 6zz ah4w)mna7p ume beneath the surfacn46( wkh(,zmvy haa7 i hn93pti1)zvi e. What is the object's density?

  A 200-N object floats with three-fourths of its volume beneath the surfacee7y 5axu+yr0mnsj1 0a of the water. What is the buoyant force onx e5aamr7+0y 01 nusjy the object?

  A polar bear of mass 200 kg stands on an ice flvlq j4r:b(z1m1+egu coe 100 cm thick. What is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98c4bq1 umrjz1vle+( : g.

  Liquid flows through a pipe of diameter l; hco b0db2mo+ gmt)+g7g.s o3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm y3y7;q io lra+l)j w.udiameter restriction in the line. What is the velocity in thilo arl73+ u)i wyq;jy.s restriction?

  Water flows at 12 m/s in a horizontw2n6pqho bc (*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 supply a drinkingb-3y ,s(a5y de (f+nckdk2n ku fountain with 300 kPa3n+k,y n cf y(5u(k2s-beaddk , if the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage f3 rjjeu 8n00stank that holds water at a depth of 15 m. At what rate will water flow out of the h nj8 rjeus0f30ole?

  Water flows through a horizontal pipe of cross 8 otk2-q kw(hyspiuibrya8zb vvn* 8g01((r/-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 long would it take to t(yeof* -;ok tfw (*okpour 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 aboveff k(o-oykt (w t*o;e* 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 aitvvbv;s5(9 qy)u5sft7*v njz3)ie the wall of an artery decreased the radius by 10%. B9a 7iqz;tf3*yu)vnvv5) besvi( t5 sjy 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 paqgpr /wws rvj r7.r37:n of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tuvsr7rwqj. 73gw/:rpr be A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in dmira:((mq3/v +s;s dvqj(fz a capillary tube of diameter 1.2 mmfvdm( i+q d(rs z:a (svmqj3/;?

  232

  To what height would water at 0 degree x yjpmt )i;exa;y e q5yb :hz7/9b(9uuCelsius rise in a glass capillary tube with a diameter( :m 99u);; eqx /e5yput 7ayzbbyhjxi of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water ltbic i:zor 7+8k ,:q7faz03y*yaen nrises 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 b,+izq7 *ie037 anf:oknyzcr : t8lybay 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 380w iciwv3 /z ma(ykuwith a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force does the soapy3vw/ w(imazck u8i3 0 film exert on the 0.600 m side?

  An adjustable rectangumte j yj,+y/g k5;+sgh*5- e7nz:+mqgna n mntlar 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 work is required to y j/gn, :7 *mgsn qnee+t+y;t n55kjm+m hgza-move the adjustable long side so that the frame is 12 cm square?