The three common phan)4:.po1 c pcut,nb umses of matter are

  Density is

  Substance A has a densi-yr- 0)tq bfi6b mlsx2fsp 4.)j.kaj bty 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 unij2msmz8n. 3 dmr- me,st of pressure?

  Consider three drinking glasses.p;kvw9 8 wxfr6n d+y9p All three 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 bo6dv r+n9;y kww9 xfp8pttom?

  What is the difference between the pressures inside and outside a tire callednw+5l:q7,t b ixdt 2jn?

  When atmospheric pressure changes, what happenssqu81 .sy n36 o 9 gl1;ne;izod 9vezpqgzx*u9 to the absolute pressure at the bottom ofue;s u 9evgs9.z *g y zn nqxq18o3li9d1o;6zp a pool?

  You are originally 1.0 m beneath the surface of a pool. 5 u7dvicu+zud)y3w b + If you dive to 2.0 m beneath the surface, what happens to 7d)+u+b uc3i dzwu5vythe absolute pressure on you?

State Pascal's principleae(zce , vym ;bes-m7/.

State Archimedes' priu 95 n*wc s jfxqxdg.9e*b.y+jnciple.

  $50 \; cm^{3}$ 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, what happens eb i(qg4s( z8/.vrppbto thbvpr/(8q.b 4gsp zei( e buoyant force on it?

  Salt water has greatub, dqz yn.d-6er density than fresh water. A boat floats in both fresh water and in salt water. Where is tqbu.,dd-z6 yn he buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in5dubu z g+/xlk:n2v6x both fresh water and salt water. 5/zdu ug2x+b:kv nlx6 Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a m/ ,zm(xgtqg5pool of mercury. Where is the buoyant force on the /mmztq(x5 ,ggball greater?

  A 10-kg piece of aluminum sits at the bot 2b-wqk +4sfja4dmlw4b q+t r+tom of a lake, right next to a 10-kg piece of lead. Which has the greater buoyant force onw qq4mk+b4 f jra+ws4d2l -+bt it?

  A piece of iron rests on top of a piece of wood floating in a bal/poh moh8zl ah8 3f( a5+pde5thtub. If the iron is removed from the wood, what happens to the water level in the tu 5z p ophl8almo853/a(hehdf+b?

  A piece of wood is floating in a bathtub. A second 2,3a v2gr fsoz1lqlo+ piece of wood sits on top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, what +,3 l2lqosz a1f2vg rohappens to the water level in the tub?

  Water flows through a pipe. The .m p)bq1w k:be4hw.wd diameter of the pipe at point B is larger than at pod:)m.h wbqwe1w pbk4. int A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. Ihdc02) bxjm b,f the pipe widens to twice its original radius, what is the fc2j0hbb )mx ,dlow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrow:vfwizx:* 7gh6.rp n 28mjrnb:iiv6xs to half its original radiusjhbn6znr i :*x7.2 xwri6:pmf vvgi8 :, what is the flow speed in the narrower section?

State Bernoulli's print5nq0v0 dj8rgl *n0m rciple.

  Which one of the following is associated with the law of paqz q5/8qk.fconservation of energy ikfa.p 8/zq5qq n fluids?

  As the speed of a moving fluid increases, the pres (ss4gp0i(i;kujmy5 5)qx w edxgm/ s)sure in the fluid

  Water flows through a pipe. n: vjqi5b,pg/ The diameter of the pipe at point B is larger than jqv/5, : pnbgiat point A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper ris/fl.)*e-by8neyz - gc ee+u1nw:hipe es. This is because

  A sky diver falls througwesmd/ 1r+5o vh the air at terminal velocity. The force of air resistance onr/1 e+smdv wo5 him is

  Two Styrofoam balls, of radii R a pq u,ho45*wc7 p4cyrind 2R, are released simultaneously from a tall tower. Which will reach the grop*7cyu5 qc4 4hwpi r,ound first?

  When a small spherical rock of radius r falls through water, it experie09 pm(c 14sd2 *wuioh1 s +0cbcsitehinces a dr0 *e(si smh91 t0dc+2iw 4p cichsbuo1ag force $F=arv$, 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 thu+lgl (5c,u((i uus nae flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest chang i(aunc+uu( l (u,sg5le in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice/-dn 9c;bf amm 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, wha9/;df-acbn mmt is the flow rate in pipe B?

  Two horizontal pipes have axyu ;csep7+6 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 lengths of the pipes. If the flow rate in pipe B is Q, +6usp;ycex a7what is the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "greasy" taste seems by )d1j ydscd.o62*z yto be associatedoy dzb)y6*d12 .ydscj 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 iuicgbnz0sw *( 5.bs5vs placed in water, the water rises to a height h. If the diameter were half as great, how high would the watui*w ngsb.5vs(z5cb0 er rise?

  Certain insects, such as the water w702k;ocs di)qpdrrbo5s5gx(.a i7r3j b il*bug, are sufficiently lightweight that they can run onk30r ;q (d gdi2ro.5j)axb5wsb ir 7 lcip*7so 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 bug B?

  Certain insects, suchx zn.eoh(z3:h))e0q-iis rxw as the 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, he)-xi0 ze)snh.ixq 3woz r:(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 4.00 cm has a mass of 30aq02q+6 / z3idlmt hei.0 g. /z0at+mdq i e23qi l6h What is its density?

  A liquid has a specific gravity of 0.357. Wha5 jchwp4tit;b zfu y8a39ko- ;t is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What -niu3thap -c-is the maximum pressure it can exert on a horp--nt-ihu a3 cizontal surface?

  A person weighing 900 N is standing on snowshoes. Each-sqh o eu889th snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine with v;hm0;jyc737mw7 j qxbg mjr7stand at a depth of 120.0 m in the ocea ;hr gmyb0v7jq7m7m;cj wx37jn?

  A circular window of 30 cm diameter in a submarine can w; c.nesc q4 0wzh; pyu;1e5xrt*2 txiqithstand a maximum force5tpc4 ; ee*w xt. crsy;z i2xqu;q0nh1 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 pressurl(:fq6 3( ky )w65mt9qy/ipysqqkqn ye if the absolute pressure is 300 kPa?

  What is the gauge pressure at a loco j12:ko /1zabwbr z6xation 15.0 m below the surface of sea? (The density of seab rzoa21 o6:/1wx zjkbwater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location : 4cmjdh7cps .15.0 m below the surface of sea? (Theh4.:d7mj spcc density of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The small m43c.fq tl)lnx) h9zuq 9i,:wctq si2 piston has a9)i xq4hln23i.z,wt sq )lu9tm cc:qf 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 radius of 5.043 5qlulljl-v cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to lifull lvjl5 4-3qt a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydraulic piston. ;fpw/r79igj l What force needs to 7/g9pifj;rl wbe applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraularj9 lr;;iq 4dic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises9rida;lq; 4jr 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 pbci 6 eyrwwx(fh+mtoi e ,zn,y7.(37 the buoyant forcei+ ,nrmxc (7i6b (wyyw .,ofzhetep 73 of the water?

  An object has a volume yx5 :x*w/bnvb,: 8vu lkn(ohqof $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supported by a stt2obp.lwan: m 8/npe;ring while submerged in water. What is the tension in the string? nn /2;e 8.m:ltpbowa p(The specific gravity of iron is 7.86.)

  If the density of gold is l5skzy 8d1to+7o sh)bv+ d.wj$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel subm2/*+d nvxs)c7ai ey svarine (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 is immersed ic/h ck;b 5zep+n water. What is the spe/c5 k ;phcze+bcific gravity of the object?

  A container of water is placed on a scale, and thecsja l75+* p vgag rlomk9s/u1xi9u+1 scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a 9 js +gou gc7xvps5rl+ il*u/m11k9a athread and lowered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum liyb6f;q 01+ ,g cw kn8gb5r8 o0iudfuwith a mass of 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 j :ex d3h1+i )nwixk.quust barely float in water. d1)ewku + i3iqxnxh.:What is its mass?

  A rectangular box of negligible mass me2pn)y* t volo h +)z0bckn02llasures 5.0 m long, 1.0 m wide, and 0.50 m higho)2v0b+nl )olk ch*lz ytpn20 . How many kilograms of mass can be loaded 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 vu g9ob qcc2ob*6g bebhd(,ge7 */:u wbeneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight of the object7w *geg*vbc6:b9cuuh od2b,beg/ q (o ?

  A solid object floats in wl 9ig*7y;xbpjex0ajl u 2+kxw22c 4hq ater with three-fourths of its volume beneath the surface. What is the objeccx4h*lbu;w2ex2l j7jax 0k2qg p9+i yt's density?

  A 200-N object floats with three-fourths of its volume beneath tbhyh* 9a,4enpg 1 kg1ohe surface of the water. Wha, y pg1*ohnbhaeg k419t is the buoyant force on the object?

  A polar bear of mass 200 kg stariajqk2. lbzdy5b 4o(7y u/k:nds on an ice floe 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 0.98.dy /l2:rk7(bojb 4.iz5 kyuq a

  Liquid flows through a pipelz8/i f:u u-e9momr uay9 1l*k of diameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diamete g m w)a8 (/-kf;i bvbzs0hr6tjwf1(lfr pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the - kr/bwz(;( s1wff mb8v) lfaihjgt06line. What is the velocity in this restriction?

  Water flows at 12 m/s in a ho49q55mxep+why5r hl,f kho 2 orizontal 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 ajdm7aji9 1cnj m+0u. for a pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 ja97m. jn j u0aimdc+1m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that holtnjo(/p6(w wpbs c+qwrtu7;+k -6vwyds water at a depth of 15 m. At what rate will water flow out of the hb+6 wk t;/jtv(npswr6(7w+opqyu-c w ole?

  Water flows through a horizontal pipe of cross-sectl3gz7hza: 1)v 4qki* hz au4erional 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 tqgqn c)h79q 2e u6oz8lt-zp-vo pour 4.0 L of oil through a funnel with a 26hgt )8nz7 9cq -l-q quvepozneck 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 * 1,seod*nc;qipy r+i u7dbx/ artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintai ie7cy rd n;x+*u oq1dbps*,/in a constant blood flow?

  Two narrow tubes are plac4p/;q w:wx wbped in a pan of water. Tube A has twice the diameter of tube /bqp;:wwxp w4 B. If water rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water risen8e-t( bej gn(wux4m7 z z*pf1 in a capillary tube of dm(j(7p-n8zfzxg b1e* 4ewu ntiameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary tube (ctpl6opdn g z.10:e awith a de( g ocl.n: 0pdp6ta1ziameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises in tzq63kv l+q1ph-it8 czr)t*pk he tube to 4.0 cm above the level of the pan. The surface tension in the liquid is lowered to oc63lzp-* 1r )k +z8vitpqqkhtne-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 b zo0d j(fjv,0s,2w aljnvf/vtn)-g *with 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 soap film exjvv zw nff,n-j,g jod svt0b*/)(l2a0ert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and is built i92(gg0 y jan:tmg oc3on 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 fr9yg2(mnjo 3: 0agogctame is 12 cm square?