The three common phases of matte (yueub8ec+8wb ywp47x hp91 yyyv8 k-r are

  Density is

  Substance A has a density ofbmi3-y2tblf5 k ..a uf $3.0 \; g/cm^{3}$ 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 preswj49;ni.v aku (jpbf1 sure?

  Consider three drinking glasses. All three have the same area bas5wq6jdx1da0 ie, 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 gre j0d6 x1dwaiq5atest liquid pressure at the bottom?

  What is the difference between the pressures inside and outside a tire bgol(2siv*8ho3f ;o mcalled?

  When atmospheric pressure changes, w7jyj b jzo+7px;cvt t*aj+v3l z 2+sw/gp3g3rhat happens to the absolute pressure at the bottom of *p+3gw7r+o j7 yj 3;stcx/2zgb3zv tpjjv+laa pool?

  You are originally 1.0 m beneath the surface of a pool. lo (g1w vc3,1)qizb*k :fzfutIf you dive to 2.0 m beneath the surfacw*zc :lvfb1ti3u1kq,o )g( fze, what happens to the absolute pressure on you?

State Pascal's principle1a gp i2(4n4 gl;cwgfyir579rwjtcr 1.

State Archimedes' princd zwz*u ,iaqsij8: )j.iple.

  $50 \; cm^{3}$ 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 :tb,gv.i r;xri8e eb;into water of constant density, what happens to the buoyant force on it?gb .;eb vtr, :er8x;ii

  Salt water has greater density than fre0uqjalk49get4onc/ +. : wfuw sh water. A boat floats in both fresh wateo.w9tlqgu4j04ef+/ :knc awur and in salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship fa)yuvm p) *q6lloats in both fresh water and salt water. Compared toaq)muv)*p 6ly the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of)me ul77w8c2k wce4ucag9b,q mercury. Where is the buoyant force on the)4l82 9,uk u7amw e7bcgeq ccw ball greater?

  A 10-kg piece of aluminum sitsf u,y.47t3 l*tdwc oat at the bottom of a lake, right next to a 10-kg piece of lead. Which lyt*t f u3c w.a47,dothas the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. I.aoenda 6. 8ptf the iron is removed from the wood, what happens to the wne.p. taao6d 8ater level in the tub?

  A piece of wood is floating in a bathvkq)j ;nu nl* gwszm772 *x6ibtub. A second piece of wood sits on top of the first piece, and does not touch the water. If the top piece is taken off aknj7n)z um7qlw *sb*i v6gx2;nd placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B idvhpw) i3u-wtctz,,ngds.x7g:l u.1 s larger than at point A. Where:.3xsp.vcuggh)l in -t d7u1wz,wtd , is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipnrsibj e uj/6 y)hexjq)0k7yv*3.p.xe widens to twice its original radius, what is 7nrp0)jsh*)/x.xj.6v3iyeejyq bk u the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows to r uza dhzbs7.7/l; tk.half its original ra.ltsz/rbza7d 7u; kh .dius, what is the flow speed in the narrower section?

State Bernoulli's principlyuk ++zve :o0l4w 9cv:hkz h6ee.

  Which one of the following is associated with the law of conservation of energy gv) nkpi ztr2+a:7:tvy+st9 ynu/v2 ein flugvav+)t+/y9 itpzr t: 7ks vn2y2ne:uids?

  As the speed of a moving fluid increases, the pressur fr8hpzu3kyt63 xl 1.ze in the fluid

  Water flows through a pipepz0/: 8z kh9klkw-ua.h hw 7xt. The diameter of the pipe at point B is larger than at poix khlu8k0.-:a / wpkzwz9t7hh nt A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper risej*u5 : 6:jbfzw/rlyuks. This is because

  A sky diver falls through the air at terminal velocity. T654und6wpx 9d nh *ehohe force of air resistanxd69pe hd5 hnouw *4n6ce on him is

  Two Styrofoam balls, of radii R and 2R, are released simultzchfi u -b;cb)i+0u1wwuvzy 82n9ek+aneously from a tall tower. We 9u2b)zw80- 1i;ckynuwi+vcf+u bhzhich will reach the ground first?

  When a small spherical rock of radius r falls through water, itdlpp5g j,dy83hf.o,yp n/ n9t experiences a drap,/9d dy,nj.5gn3lfhp8p yotg 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 the flow of fluid through a narrow pipe? That-:l8fk/kq zcc is, if you made a 10% change in each of the quantiti -kl/:kz8cq cfes below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same lengthlx ,ks-/k:-sv bp2 skh, but pipe B has twice the diameter of pipe A. Water undergoes viscous fs shplkksx,:vb k2 --/low 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 the same diameter, but pipe B is twice asrixgx :rjy3 m6do*37p7uzrer n) +3a4v4 mgrj long as pipe A. Water undergoes viscous flow in both pipes, subject to tjrm+:3ipz4yxag3u43m rn r6 xr 77jo d*gv)rehe 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 seez6ukel,t)so0jv, b e2 jrn7 j6ms to be associated with oil sp j 6kn,0,v2js7juletb reoz6)reading 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 wat6kg (ru+yar,scbu, +o (qa;ht x ht0j/er, the water rises to a height h. If the diameter were half as great, how high ,ja(+u6qgbarh0scxrkt + / (, tyou;hwould the water rise?

  Certain insects, such as the water vgizfp*k 0k 43d(dra - jjw4oe+g*jv*bug, are 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 thezd 3 o4*jv-kdgewap* 0 (jrigfkvj +4* weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweight that they k-vm9n m0h.eecan run on top of water without breaking the surface tension. This is possvm9mk .e0 enh-ible 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 bug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 goc a*1kgkj a(ya,.x+ iey,rt;. (a+gae,.x; yyck t1*,krioja What is its density?

  A liquid has a specific gravity of 0.357. What is imi9yph80a 8a lts density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 6z 2xw f)/mkatcm x 4.00 cm. What is the maximum pressure it can tz/ 2axkm6w) fexert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Eafwf j m67qp8xkp3 :cn,ch snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a /mrv8 rkz rc:g 2h,cdvl/3k t1submarine withstand at a depth of 120.0 m in the ocead/hkt1g v l:c r83 2rkm,/vczrn?

  A circular window of 30 cm diameter in a submarine can withstand a iy4l a oe(:ly*maximum force of* e:l4i (yoyla $5.20 \times 10^{5} \; N$. 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 abs, piz-loh4 y16:ai x2 5bqfpwmolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? ( c; k:zgdrxw oo34)3mtqc7ih8The density of 43x8wr;c im) zhko odcgq: 37tseawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface oat21xy m gij7ix *0qb(f sea? (The density of s iq72(myt*0x xgba1ij eawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston ofw*ny yv-tv(0t+n f- vg a hydraulic machine. The small piston has ang *-fw y(t-v0+ tvvnyrea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, z7gdxy8v4v3*bfs0 p uthe small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What fv7u*0d p s4xf83 vbyzgorce 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 lifted by a 25 cm diameter hydraulik 7e 7qhdkp3d4c piston. What fod7k4k eh7p d3qrce needs 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 )8tkej-;u b+j ysvbh0, and its large piston has a diametee- ;)t8ushj b+ jybk0vr 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 /gln*jq-/rs nr)rfyk +a(m/ t30 N in water. What is the buoyant force of the wm*r-l/)+ n/jf/ gytsrqar (n kater?

  An object has a volumy y40v,ygi -hhe 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 byqjvr)v:- k /ed a string while submerged in water. What is the tensiv/dqvke)r:j- on in the string? (The specific gravity of iron is 7.86.)

  If the density of gold is w*992ycbusy a un92ti$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (densit6fjo 0/9,h c hfzk0t7d eu/xrdy = $7.8 \times 10^3 \; kg/m^{3}$) 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(5r 70 duyt +u(hmj cqqr+xx/w it is immersed in water. What is the specific gravity of the oq(r(0u5 wru+xdqj7+t/ c y mxhbject?

  A container of water,mzj + ;zv rtlw16ixo/ is placed on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is svl ;zio6x,jt+ /w mz1ruspended 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 wo .qp;u2y ej3hith 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 wimk2 2la xd ew4cvydg1:87d))cgbn /lb ll just barely float in water. dd lgv4k bxb we7c/1:d)m 2ny)2l8 cgaWhat is its mass?

  A rectangular box of7esue)/a:xidr ty6d 7 negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it7xydea6siu:) t7d er/ 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 0 4ktw.l sx)qw: cst 5lreif,1surface of the water. The weight of the displaced water is 2000 N. 5slwr0 q:c1,etxl)stkf wi .4What is the weight of the object?

  A solid object floats in water ; a7imzl7ioitk)8me0with three-fourths of its volume beneath the surface. What is the o)0m;et7k 8liz i7maiobject's density?

  A 200-N object floats with three-fourths of its volume beneath 8lbnf3exjiq)* , aj8z the surface of the water. What is the buoyant zej 3 axl8n*, q)jbfi8force on the object?

  A polar bear of mass-d /dfc3xdj+ url b38e 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 specific gravity 1.03? The specific gravity oflxed3fd8+r3u-/ cd j b ice is 0.98.

  Liquid flows through a pipe of diamrl5(q fena*5k eter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pi8nf tvou+z ) y;-xkmr1fxj.on ,s;)ycpe at 1.0 m/s. There is a 2.0 cm diameter restrictionxzy ,fx) f ;ocnm -;v8+ont)1.ysjurk in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a press;rta0cz 8s) ca/-yu sjure 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 t 2e pc+g k1vtfp6i s+5gu2xe;xo supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above theet5sk f2cg+ux6 ei;+1 gp2vxp pump?

  A hole of radius 1.0 mm occurs.kwiepzv+ahf6ojsz l y 7- 6b7ae*+,f in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water flow out o ifbvwk+z7 .6 a*-oy+zfh ,l a6ee7sjpf the hole?

  Water flows through a horizontal pipe of cross-sectionalk yg8owqz7 y8)kie41 i,4phpf 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 pour-b 6 xe4i1iaxs 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 above the top of the neck6 -ai14sixxe b, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up of fap*) nxuf ;o/bcrr d7q8c 4,vwbtty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart)/b*; bf ,cunxo v 84qpdwr7rc have to be increased to maintain a constant blood flow?

  Two narrow tubes are placex*-f ppa(ul 3tfq;r 2bd in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, ho(t fp p 32bfl*ru;xaq-w high will it rise in tube B?

  The surface tension of axvoz)ejb s820n :)zn water is 0.073 N/m. How high will water rise in a capillary tub)jxz)naev8o 0b nsz:2e of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a 9s528mhjcxe6av7t4l+wwl m xglass capillary tube with a dia69w xx7l4 asj+tlm 2mcew 8vh5meter of
0.50 mm?

  A narrow tube is placed verxtu(p 4(j 5up vhnvko00 pq1m9tically in a pan 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 low j94u po (pku5(pn1vhq x0vm0tered 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 f2q gn +q;5r*r3q6p f7dhxa)ama/ ca psrame of length 0.120 m and width 0.600 m with a soap film formed within its confined area. If the surface tension of soapy water is 0.02fapgar+ 5q3n*qqx;2 shd r/)6p a7 acm60 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame hm8a yf5ut p :fvcqrn d0u1:+p:as 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 move the adjusdr u 10vun:f ty+::a5m8qcfpptable long side so that the frame is 12 cm square?