The three common phases of matter m+s vpu:/:ula are

  Density is

  Substance A has a densit/lp x8k*ii3 jyy 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 v+7l 8uo, mne3b6:zbt0qm uzqnot a unit of pressure?

  Consider three drinkaw2h yjdb x0 qea*7*8ving glasses. 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 sox2*e7away 0*bqj vd 8h 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 bottom?

  What is the difference between the pressures inside8r/ ikb9ka -th and outside a tire called?

  When atmospheric pre:a wsip;2 8d .pt-q ))zreujcpssure changes, what happens to the absolute pressure at the bottom of aew )iqtdc- ajrsp;8 z .)u:p2p pool?

  You are originally 1.0 m beneath the surface of a pool. If yo(x+qj.qx4 2chs7y 4v+om3n ztm n5rzb3cg yf)u dive to 2.0 m bemb 3+2 csh3gx.xjqnm7n )q+ty4rfycov4z(5zneath the surface, what happens to the absolute pressure on you?

State Pascal's principle.blbp2c95k8et rb(y r9

State Archimedes' princifdk+:(jo l)brple.

  $50 \; cm^{3}$ 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 ane s-nogt 86sr+d deeper into water of constant density, what happens to the buoyant force on i8n ot6s+gr s-et?

  Salt water has greater density than fresh water. A boat floats in both fresh wa.a 1y t;*l:cmawp2; vgfd(x khter and in salxc.l2ta1hmw;f(p dy kv;ag:*t water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh 2d bnn 2n,r-9 mlncvc:water. A ship floats in both fresh water and salt water. Cnbcv9dl- nn m:2 nc,2rompared to 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 mercury. Where is the bly2 yf xq*sz(zm1khs5gnov8h k, m7:*uoyant force on the ball greater?2hx ,nvl*qk8* f1m ksmh:y5z zgyos7(

  A 10-kg piece of aluminum sits at the bottom of a la+lu/3/e9id1 *n l(smvkk7ymo4lnmy j5 e8 rdeke, right next to a 10-kg piece of lead. W r(dl/ i4/9my ul1v5ol+k 8ednk m se3mne*7yjhich has the greater buoyant force on it?

  A piece of iron rests on top of a piece 0m95c ampzr (eof wood floating in a bathtub. If the iron is removed from the wood,p0c 9emz(5 ram what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits wr13tfkre 8-don top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, what happens to the water leve-d8wt3rr 1ke fl in the tub?

  Water flows through a pipe. The diameter of t79k uuqf-gb47 j 9nkxekmm) 2the pipe at point B is larger than at point A. Where is thkkmn2 q9um j7ft9b4)k-xu e7 ge speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widn1qrvbwr d u 3+wpx.ay 992;6y90sv djsb ms1rens to twice its original radius, what idrq 9a9x0w u1bryn. vs6d;r9v w2b+smj1s py3s the flow speed in the wider section?

  An ideal fluid flows at 12 m/s innu) s0mp7i ,pf a horizontal pipe. If the pipe narrows to half its original radi,pmpi s 0fu)n7us, what is the flow speed in the narrower section?

State Bernoulli's princip x:wt6i5pg: utle.

  Which one of the following is associated with c-sa/bhhyy (dxz .n)) the law of conservation of energy in y)h()y.d /abcx -nh zsfluids?

  As the speed of a moving fluid increases, the pressure in the fl4cf*qc , 8eh5pzs 9axfuid

  Water flows through a pipe. The diameter of the pipe at pointxskola:gvogh3 :y, 9/ B is larger than at point A. Where is/o: gg3ykao: vxl,9 sh the water pressure greatest?

  When you blow some air above a paper sm+ 9lxc0; aku.tz4x53nx9bz00wdd evqm+ d sntrip, the paper rises. This is because

  A sky diver falls through th;xv/(f / ,z ztmst4fede air at terminal velocity. The force of air resistance odfeft;/m 4 ,tz(s/vz xn him is

  Two Styrofoam balls, of radii R and 2R, are released simulta mz4-z+sye)z nneously from a tall tzz)e-y ns4+m zower. Which will reach the ground first?

  When a small spherical rock of radius r falls through wate-q+v,qo0hx v3;lr0 -:4pwq8icg vprpxmfse 3 r, it experiences a dra+e -8,qvxsh4r03vc-0 :o gp; rvqxfpq3pil wmg 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? Tifz*p/ dd3 0q ojr)/f v5 np6.twiu iisvr(1+ghat u(+*vgj t/ ivsdfdin .650iz/)f wp13irpqoris, if you made a 10% 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 apy 5rn4/7rb-*uhl ae B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, suh -raay4/5bl repn7*ubject 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 dp.p/ jnf*0p*w6* x9 ezc( :stgv a ocxgehv:*giameter, 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 len*(0g9ezw p*vvx/.*n pj gfx *sgah:cep6:cotgths 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 seems fp /i9gynb mqk ,:6;ysto be associated with oil spreading out all over the surface of th9 i; b,f6gq: syyn/pmke soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diamete 2n- upo.m1tbcr d is placed in water, the water rises to a height h. If the diameter were half as great, how high wouldnb.1m -2ctu op the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight th3uik5yzrt2a .a(7qn z at they can run on top of water withot2qan5ukrzya7.i3( z ut 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, such as the water bug, are sufficiently lightweim oi )kan95h+gght 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 up)gh 9k mnai5o+ward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.0uv9ofl 1:/ ddu0 cm has a mass of 30.0 g. What is its densityuov9lu/ d:f1 d?

  A liquid has a specific gravity of 0.357. What isp2*iwusxx9 7 l its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 kug iz1-afr +2cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal sig1zrfk2a -+ uurface?

  A person weighing 900 N is standing on sn a; r4i:abp3 ww(,z)wxll x:zxowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute)xg;k bcw,6f(d must a submarine withstand at a depth of 120.0 m in the ocbfk(dg,6c wx;ean?

  A circular window of 30 cm diameter in a submarine can 9p-pnvwzsv0h 8ua (j. withstand a maximum force (-vnh.waz0j psv89upof $5.20 \times 10^{5} \; N$. 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 pressure is 30ummm4r1xz sgn *1v) (l0 kPa?

  What is the gauge pressure at a locati u*bq3mvj 8ne:on 15.0 m below the surface of sea? (The density of seawater:m*vq3 uje8bn is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m belo li0cbzi t0z b-d+gf4 )v*/yeaw the surface of sea? (Theg zc*00zt/yv)i bbed fi4-l+a 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 pii f*/vs o v3.ojti-+uneb mgthu)5;j7ston us*hmiv/b +jvi- j5tgt)f7.uoen3o; has 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 5.0 cm and the qp szj:fe+g1 dzmcm//+wt 4rys b8/1z 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 +8yzc/m1 g e/d spw4/qz1m:t+ f szbrjN on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cmux9r2qvy 3y2 ern25b w diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomv92r uq2r3be5wyxn2 yplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its 9s kop.t5 0ucy5ykj*m large piston has a diameter of 40 cm. *yuy o9s.5 c0k tmjk5pThe 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 buoyanvg* hr:w;u gp8t force of the watgh pgur*8: v;wer?

  An object has a volumrg els, iiv/;gxm t:16e of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid ironsj(3 5-ittyrvv hax8: is supported by a string while submerged in water. What is the tension in the string? (The specific gravity of iron is 7.85 t a -3sxiv:yv8ht(rj6.)

  If the density of gold krw2me,vo4/lk3 ukho898 lo y 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 sumr9y,/hv4xv*g-o 9 if f /mcbybmarine (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 in)yu6uv6 gvs z6 water. What is the s 66uyzgvvu6 )specific gravity of the object?

  A container of water is placed ou04l 9/yotg 5wlf rrwpy0x8o;n a scale, 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 the water, not touch5y/0wrlfy9w0 tgl8rpu4oo; x ing
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1.0 kg ajl41e5/ah pfcmf5 at*nd 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 just barelyu,ry ,j1dc;j mqpm/0l float in wy, 1md0;jcruq pmlj /,ater. What is its mass?

  A rectangular box of neg g )tpj79w6elyligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. Howgpw)et 6y7l 9j 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 hpx5wb-kyr kf-m f9+u-alf its volume beneath the surface of the water. The weight of the displaced water is 2000 N. Whk-r59f- + upxmkwy- fbat is the weight of the object?

  A solid object floats in water wi /+xeahnj+ax 3th three-fourths of its volume beneath the surface. Whxhx+n aa+j/3eat is the object's density?

  A 200-N object floats wm 4cl 17elj*+7rgraznith three-fourths of its volume beneath the surface of the water. What is the buoyant forcrr lm cn+1zlaj74eg*7 e on the object?

  A polar bear of mass 200 kg stcjar1qx9)sr *vvx8 b3r4 r 6wsands on an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear in sac )9j xva6 v3rr*s8rq1rbxs4wltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3yf gmf(9mi*z*ke.l 1d.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 t2*f*b 6a tm)krv 0coka 2.0 cm diameter resta6tfo0 c )tk*rbk 2*mvriction in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horei;e egvtd1t9,w lw;i7w. gs/ izontal 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 drinking fountain te ec a7,qcnhw5 -+-;a/kyjelwith 300 kPa, if the fountain is 30.0 m above the pucec,ewy-na+h 7tke 5a-j/lq; mp?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank thx+ acqzkckwh+v/y fl53g *-m2at holds water at a depth of 15 m. At what rate will water flow owl*c2g5 vk k/++mxy fqa-3z chut of the hole?

  Water flows through a horizontal pipe of crl/k5 *lz;epct z9ivw: prfhi(btk 3()oss-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 Pa5d.w gh 1;szm 55j ws1;ha(5cxfxfj gk/v7bnb-s. How long would it take to pour 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 neck, and neglect any drag effects da mjbv1f n;5z5gc s gxb h/xhw7s.w;dfj5k(5 1ue to the upper part of the funnel.

  Suppose that the build-up of fatty tissue ,4(wdaxnj ,tmfta.*xs0.k uk on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be j fw*d.m xtt.asxk,a ,4ku0(n increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan xi kwi:z1 d,dzvm-q)4 of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high wili vmdi)1k :z x-q4zdw,l it rise in tube B?

  The surface tension of water is ax(4 . sxmcje7t3 ls1ief 8i;wpb)5xn0.073 N/m. How high will water rise in a capillary tusx5sif.(ejp nwt7e;1m) cax 8b4 3lxibe of diameter 1.2 mm?

  232

  To what height would water at 0 de0fynn/b rmg wkhuk8wzh m81. bv6, .z+gree Celsius rise in a glass capillary tube with a diamete m /vnhbk.+frnu1gzb.w60 8,wmy zh 8kr of
0.50 mm?

  A narrow tube is placed vertically in a pan *o:)qbjm a+u iof 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 itsuajb )m:i +oq* 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 wyaz if 64 m160n*ydaulith a soap film formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how m 4my y* 6aaldi10f6nzuuch force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width p.tlx, q xuk0/ /xiljm el665b5 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 t liepmb/0xxtxu. /665 ,kqjl lhe adjustable long side so that the frame is 12 cm square?