The three common pha1v3q4k 6 gzacfses of matter are

  Density is

  Substance A has a density726-s 2(u a0 sntgi- j x2vgnzadhmk6o 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 pu7/. yym1xakgressure?

  Consider three drinking glasses. All thkg()yko,,qi:tng5 k/l qv ey9ree 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 htv oniy/9ek:kg5,g)y qqk ,l( as the greatest liquid pressure at the bottom?

  What is the differen. eb z1rhf1b.hce between the pressures inside and outside a tire called?

  When atmospheric pressure changes, what fk +awa4o u .xnqk(38ohappens to the absolute pressure at the bottoq3+wkx ua4.okfn8 ( oam of a pool?

  You are originally 1.0 m beneath the surface of a pool. I8hzx-glcz79s:- jq dyf you dive to 2.0 m beneath the surface, what happens to the absoc ylzx8 9-hjq-gs d7z:lute pressure on you?

State Pascal's principle.y)a5 .xgcjmr 6

State Archimedes' prl0 +f-pcsldd, x s(3) vvv/au:v.ie ghinciple.

  $50 \; cm^{3}$ 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 an r,yr8 h.am.nh(xi1y dd deeper into water of constant density, what happens to the ba8(hhrimy.ndx., y1 r uoyant force on it?

  Salt water has greater density t7-q v nl/ics1y r5e,ldzd-x pck;46ufhan fresh water. A boat floats in both fresh water and in salt water. Where is the buoyanzsd /-cyp4,eix 7d1v;-u frqll6k5c nt force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh water 2xw0aawci0e4and salt water. Compared to the fresh water, the volume of aiwec2 wax400water displaced in the salt water is

  A steel ball sinks in water bu,2 udhsow , 8erm53chwt floats in a pool of mercury. Where is the buoyant force on the whm5ue ,,w8o2 ds3crhball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, rigbq b(:/roqd6 x;grp :yht next to a 10-kg piece of lead. Which has the greater buoyant /d:(rq6:qbb xro;py gforce on it?

  A piece of iron rests on top oqhene; kiiv1)l 8v)n-f a piece of wood floating in a bathtub. If the iron is-le1kv n) ;ienq)vhi8 removed from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of woodlb r-7 xi/ 32p- oe,a7fffcxpj sits on top of the first piece, and does not touch the water. If the top ief73 ,l/xacf -2p7porb xfj- piece is taken off and placed in the water, what happens to the water level in the tub?

  Water flows through a pipv+xaevu k) 6y)e. The diameter of the pipe at point B is larger than at point A. Where is the speed of the wate va+k6 v)x)uyer greater?

  An ideal fluid flows at 12 m/s in a horizontal p*2jtp7zfpnkr fp9 0mw.kih+) ipe. If the pipe widens to twice its original)k2f .zj h*r 0nfk7m+9 tpiwpp radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narro 3qz)3pi )*cuehvy cq+ws to half its original radius, what is the flow speed in the naivup 3))c+yzq*qc he3rrower section?

State Bernoulli's prkrfz q:,1.m htinciple.

  Which one of the following is associated with+9:km;mymxy-nl aa * g the law of conservation of energy in fkxy; m ylm+9:*maagn -luids?

  As the speed of a moving f uoss1yv x1k2;luid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe03 /a6p4 - egpfao+3to/eytfgtx l(oa at point B is larger than at point A. ax6(g 3yopfa+a- lp eogftto4/te03/ Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is bec )wol13ykcvx0/ 5girnause

  A sky diver falls through the aixcaqik ; or)3mt; fdq**6of 4hr at terminal velocity. The force of air resistance)f4kd tmqo;3 hrqc;*6fxio* a on him is

  Two Styrofoam balls, of radii R and 2R, are released simultan /.b h8jqj +3,vocanuzeously from a tall tower. Which uv8, j+cah.qj/ oznb3will reach the ground first?

  When a small spherical rg0x nwex/h71g+0eahmock of radius r falls through water, it experiences a drag forcem0/gx hw+n1g07eahe x $F=arv$, 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 pfhl.u/il2 c, effect on the flow of fluid through a narrow pipe? That is, if you made a p2,/fci .l hul10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the diameter of pb zzh 8,.enh(i;x:jlhu n qa;7ipe A. Water u hl: i7qba;ue;jn8 ( zhxz,.hnndergoes 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 *,aysuz/3/gab1 t v/z(egrmu 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*a( zr vb/a1g,te/ sg/uyu3 mz in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes greasyjzuoswr8 o ,:7)a 3)u g9xp* jm:lebej. This "greasy" taste seems to be associated with oil s738 o)b p9e:je wjsuu)m:g,zla*x ro jpreading 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 u ft,8 h2hi7suis placed in water, the water rises to a height h. If the diameter we2i7fsh uut 8,hre half as great, how high would the water rise?

  Certain insects, such as the water bug, areyxo96o +tqy v )v1+srcyzk2(t-gaj;m sufficiently lightweight that they can run on top of water without breaking the surface tension. Water bug A has weigh-s)cr x2jzg1aom+6; vk yt tqy9+yvo(t 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, such an-ecn7r -sq p)rd ;n0u5 gn,rks 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 edkcn-7p5qnrs;r -r)n,g0n u 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 dimensions 2.00 cmcob78ge9: xip m7vnf k)(ul* p x 3.00 cm x 4.00 cm has a mass of 30.0 g. :9o)eibp 7lgvkpxc (*m unf87What is its density?

  A liquid has a specific grapqxr r r8m1 51sgcl(-ovity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00san-f/i) *lcy cm. What is the maximum p)ny sa-ilc/f* ressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. vc7v73vho+xx:qmn g 9 Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a sue7ke zjq el,7-, ivv7pbmarine withstand at a depth of 120.0 m in the ocej e7vpv7qi lez- ,ke7,an?

  A circular window of 30 cm diameter in a submareu.4 r (me.vbrine can withstand a maximum force of mr(eu 4.e. bvr$5.20 \times 10^{5} \; N$. 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 r6tg g pf4/or;7 t,7sr ntn43hefm q17j5qdj qpressure is 300 kPa?

  What is the gauge pressure at a location 0jvtw.dcxfcn2 5a :n/ q5 seh;15.0 m below the surface of sea? (The density5es0dfn: hj;q2a w .cx 5/vtcn of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below ti/5mgk:l80o 0 mm9bi wqp pd-hbv0fe9he surface of sea? (The denspmbb0/5 8phwd0q9ifomi-m e v l90kg: ity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the sma t9t/i8sdus6 bll piston of a hydraulic machine. The small piston has arest8u9 / idb6tsa $2.0 \; cm^{2}$. 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 5.0 cm and the9qm e;qrrv4c8 large piston has a radius of 15 cm. What force must be applied on the small piston in c8eq ;m9qvrr4 order to lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to bek8 9 z9pg4b/ hp, rrbv2dtvjq9. pqs1s lifted by a 25 cm diameter hydraulic piston. What force needs to be rp2sk .pvsq q9/p rtjb4 ,v1 b89gdzh9applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift hasmeo-*1raicm7 a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raicom-i*mre71a ses 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/vtq8b5j.;rhsvphq uc 3+elw2(q xh j,r:e( o air and 30 N in water. What is the buoyant force ofxqj(v+l hr8 vqp /3;rb(hu,wo2c.tjsh:qe5e the water?

  An object has a volume cse2wcvl)u g. 59d4,rua5t ukof $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of soli iy3u1ckl: tjn.cgy ya0;1y y5d iron is supported by a string while submerged in water. What is the tension in the string? cc 0anu3igkjt1yy 5yy1;l.y: (The specific gravity of iron is 7.86.)

  If the density of gold r1o dwwmq*h7n h z8j 9-h)m mb)fkf5,ais $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submari mr:f4ma+*q khne (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 istsv -p /vhs9z: immersed in water. What is the specific gravity of the objep/:tvs-vhsz 9ct?

  A container of water is placed on a scale, and the scale reads 120 g. Now a 20*( qzo5 +rinap-g piece of copper (specific gravity ni(p zqo5r* a+= 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 of 1.0 kg and deq53vt4v ehs p5nsity 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 of2i1eh5 ty5 w *ux kzte09- fe5jlrcf:v length 12 cm and diameter 2.0 cm will just barely float in water. W0z-2*e wl5xk uirth yjfv1: ef55ec9t hat is its mass?

  A rectangular box of negligible m.fjpjksf o9q3tppa4 wj9:-5lmia*e /ass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loadedjl*j9t3sq ka-i.5p 4 wp:o jpfamf/ 9e 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: lh2bi4wj,om weight of the displaced water is 2000 N.o hwim2:,4 lbj What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the surfp (onelofzhj0d/i ia99t + 1o*ace. What i(of*09nao1/ 9 zehjoitd+pl is the object's density?

  A 200-N object floats with three-fourths of its volume beneath the s9e-vxn t0 qur)j,g* myurface of the water. What is the buoy) trj, n9yqe*mu -0vgxant force on the object?

  A polar bear of mass 200 kg stands on an i/4qejt 2 n ,v7qi (kh e;vc,qk/rss+kpce 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 gravrcqe+4h/s i/kk2 kjv vqst;,pne,7q(ity of ice is 0.98.

  Liquid flows through a pipe of diameteyxcplt qe ei6a)6o +ch*..0 rtr 3.0 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 i e5zp 3;a+rdacm diameter restriction in the line. What is the vear5a; p+ie3zdlocity in this restriction?

  Water flows at 12 m/s in a horizontal pipepd0o b+hq sm)) wkey)7(pxta 4 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 b ms b:4jliovdlt3wzi83d 75:pump to supply a drinking fountain with 300 kPa, if the foun: b3 o4 5bljvt8:wd7idzmsli 3tain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a waterd ih2a dxt.s625yywvmuub8c )wj 10n9 storage tank that holds water at a depth of 15 m. 8judyta1)du c2yx 6 h59vibs0mw w2.n At what rate will water flow out of the hole?

  Water flows through a horizonvec8 )o q:5erzgfxck c0o1y/**eqe6ptal 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 a2nv62 3dvbhtvlcl- , long would it take to pour 4.0 L of oil thrcldvvh6a23 tn-lb ,2 vough 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, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the builddh1xh/z sw:0nu ;5qo u-up of fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure providedwq xuhoz ;hd01 s:/5nu by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed ind2g-eb6h aw m/ y-1u+wqrtukq 1kh;*y a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high wi*kw/+qw-u;y2 que hy 1gbat1m-6hkrd ll it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will wafrl nf5)liu2 (r1 oey4og1sy8 ter rise in a capillary tuberrnli)ogf(ou es81 y25lfy1 4 of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary tubeol( 1 u0k2iymt+k6w yz with kuikw2o(mt 1z6y +0lya diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and :zal) avsuh-p e-eu4 2c0o wb1the water rises in the tube toplu4- w2o-u caz0b avhs) 1e:e 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 soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 04ed3cd0o6 3/y tuq )y8e(zup6 trxceb.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, ho3bo yd 6etd8/) ct (ez4pexcr3uq0u y6w much force does the soap film exert on the 0.600 m side?

  An adjustable rectangula90qi5yu2- cgk5ivbeo8uv 2b bdcf;8fr frame has length 12 cm and width 5 cm, and is built in such a way that 8biub5fg0; f8qoy cki92ve 5ub2 c-dvone 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 frame is 12 cm square?