The three common phamgdy -evf54 *tses of matter are

  Density is

  Substance A has a denxpc77 qt8wmwbh3i)x 7sity 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 p jf :qp7 dvt+/gjj1-rnot a unit of pressure?

  Consider three drinking glasses. All three have the same area base,c0guo+e0mvv 9ex 5vo- 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 og9-vuomex 00v+c5 ve bottom?

  What is the difference between the pressure;b65czueq nh8 s inside and outside a tire called?

  When atmospheric pressure changes3iobzv85 pa- r, what happens to the absolute pressure at the bottom of a poolzrpobv 35-8ia?

  You are originally 1.0 m beneath t/0jyg jtlef8 0he surface of a pool. If you dive to 2.0 m beneath the surgfl 0y 0jej/8tface, what happens to the absolute pressure on you?

State Pascal's principleli8 ,g;ka zkk;.

State Archimedes' priv(4 m9 ut4onllnciple.

  $50 \; cm^{3}$ 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, whatn eau*w58w0e kl4,nju happens to the buoyant forcea8j0ew,kn4luuen *w5 on it?

  Salt water has greater density t6s)r g y 4zqnqc itww5 pvu47vt3p*9s(han fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on wwpt)it9(p*c3unvzvqg4 r y7 sq4 56s the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh water anrioza6h m4v,w13h ) qxd salt water. Comparedmawor64z h)x vi ,3q1h to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a :wjtwf 56s*ktt .nf 3ppool of mercury. Where is the buoyant force on the ball greater?6j3. kntsw*:tfw p t5f

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to sc r3t93i o9g-4wcfnpng; + ona 10-kg piece of lead. Which has the greo; p34girg fc-t o+ sc9n3n9nwater buoyant force on it?

  A piece of iron rests on top of a pie9-*wceg, p up q26y/ilfq6qql ce of wood floating in a bathtub. If the iron is pl p6-6f*qcq egwuq2y/,i9lqremoved from the wood, what happens to the water level in the tub?

  A piece of wood is floating in aan yh5qjjrxv4 to;66: bathtub. 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 and placed in the water, what happens to the water level in the jx65yhj:4an; qorv 6ttub?

  Water flows through a pipe. The diameter r8cihp2bm5 9ay w q8;yof the pipe at point B is larger than at point A. Where is the sp; 5pmh2 ycaq iy9w8rb8eed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe wi0vy3 bd*8o0l3:bwo;7o tyvkq,ez4x/ct rwc odens to twice its original radius, what is the flow speed in the wider s/x t*; t4yev:0bo738wvlo rbo3zcc ,dy0wqkoection?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrrp.elgq hxt3wh 4:.d/ows to half its original radius, what is the flow speed in the narrower sectiwpl dth.q :e/ g.3hx4ron?

State Bernoulli's principle.pp k 9+p(so6ipx n6jy2

  Which one of the following is associated with the law of conserv mwh )yd63(xqxation of energy in fluids? qh ym6dw)x(x3

  As the speed of a moving fluid increases, the pressure in thenq2nk1v;evb5*.o zyi8* zj gg fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger thangxdi6 norv-g7 6o2t 6j at point A. Where is the water pressure gxnt2o66j67ov gigr d-reatest?

  When you blow some air above a paper ;i (*e6*medb7sn7 dt yjqssu9 strip, the paper rises. This is because

  A sky diver falls through the air at terminal vypg: +t9muq54tau:e u elocity. The force of air resistance on him m :tuguq45pt y a+eu:9is

  Two Styrofoam balls, :m- hkd 9. yr7 uerneg+y;qsy7of radii R and 2R, are released simultaneously from a tall tower. Whicyry.rsh+ 7ndmyge-7e9kq;u: h will reach the ground first?

  When a small spherical rock of radius r falls thro*dmhq6bceakt - p h+rc-(o+s3ugh water, it experiences a drag for er p6aqhd-o sm3 +(*cbkch-+tce $F=arv$, 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? fc9+4 igu kt2snwcw 7; That is, if you made a 10%fn4tccw is; 9+ k7ugw2 change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes areajmv9 j*y9k0 id-xs od6e*xoigv4x7 9 the same length, but pipe B has twice 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, what is themgdo99j 0 s-viy6x * dxv4koae*x9ji7 flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is te5fcyg7w *;zu 5 ;goyiwice as long as pipe A. Water undergoes visc yziygc 5wu7e;5 *gof;ous 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, what is the flow rate in pipe A?

  When soup gets cold, it often tastes qjvms+7ttr12 of70z) ofhsm fsb 9:.nd;zg6 q greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staying in little globules.ff h r zj92tq .17:s ;t mnsoq)m+b7gfz6od0sv To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water ri(vmwc spv693jses to a height h. If the diameter were half as great, how high would th3sc wv(p9 vjm6e water rise?

  Certain insects, such as the water bug, are sufficientlyd59( *ijn wh z4,iysj,js6o qn lightweight that they can run on top of watew4dnjqosi9 ij5 nsj,*h, z 6y(r 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, such as the water bug, are sufficiently lightwe9f e;0wvp-nq (j7v fya/aa,p dz2xsm-ight that they can run on top of water without breaking the surface tension. Th,-wxva- fdz2nma s ypj(fe va9 p7/0;qis 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 upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm x sq2fa:u/ zsxs*w *ke23.00 cm x 4.00 cm has a mass of 30.0 g. What is its df/ es xa2zwk*sq:2 su*ensity?

  A liquid has a specific gravity of 0.3 4qvmvh/vm.i iq 2 tm2eq,j6v*57. What is its density?

  A brick weighs 50.0 N, and measures 30.0e3v( *p+ztehf cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a ve3p(e+hz*t f horizontal surface?

  A person weighing 900 N is standing o5gda,uvoxv.13ydlok qv10 + xn snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 120.0 makbxs:m sv3xf ub;zkb81+::n in tz v1+bk:m3s bs8x ; :nbuaf:xkhe ocean?

  A circular window of 30 c5 mmjx;o7;hlzr t 23fqm diameter in a submarine can withstand a maximum force of lxj q7h2tmf;3or5mz; $5.20 \times 10^{5} \; N$. 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 absolu mcu tcau(2jihwao,5+j -e m3d-e,i 2lte pressure is 300 kPa?

  What is the gauge pressure at a locay8i u0eyu 2aeq3 rk,l*tion 15.0 m below the surface of sea? (The densi uy ,a8el*3eu0qy 2ikrty of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m b e2brskljbaf083v ;m/ elow the surface of sea? (The density of/k;8ljvme3br sfa0b2 seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine.w kb4+jtemh2v1,wzz ( The small piston has area ,mzh1et2w( k+j zw4vb $2.0 \; cm^{2}$. 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 i has1:v )tv2ehas a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in orde:aiv 12 evsht)r 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 hydraulic piston. k)v2 p 7bxqqar1 qx-(rWhat force needs to be applied to a 5.0 p xv-b)( 1qq2xraqr7kcm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, and its larg6; zr9fw9-yva1rv oqxe piston has a diameter of 40 cm. The lif9 xw6rv-19r;ay of qzvt 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 buoyant forcrm;h 1z*na a9jt2.jq)dc s2-kfxfp76n mjzo (e 7ha *z mm9fp2q2rjfa; -nxjtdj)(s16kz. cn o of the water?

  An object has a volume 5wm ee v0k/o8b+ dbqo3of $4.0 \; m^{3}$ 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 while subktple : 3i+5ljk)5 5xgmi/leemerged in water. What is the tension in the string? (The specific gravigei + )lple/5 ik5mx kel:j3t5ty of iron is 7.86.)

  If the density of gold is sex2rbujx+zrry3k 734 1ck)s$19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (densit5d8rvm t/pg)q y = $7.8 \times 10^3 \; kg/m^{3}$) 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 wh1t0r,z+lbxjm6rgcgk6** r p jen it is immersed in water. What is the specifixmplcg1+r*ktgj 6,r6 0*r bz jc gravity of the object?

  A container of water is placed on a scale, and the scalwzl3blc c15q( e 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 touchil5 zc3q(wc bl1ng
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1.0 kg and densitupslx: u :n: shvl2pa-i7 h x;o,h5.hdk:gf 1jy 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 .mw6v vtoku,0)9*stx ttc or 312 cm and diameter 2.0 cm will just barely float in water. Whatcm 9t.to*tv k6x, sov w30ur)t is its mass?

  A rectangular box of negligible m) p/vq 8 z g730malgarat)x gf1n,dz)oass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass ca,df )lp8oqgvrzga gt)) ma7n1x z0/a3n 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 beneath the surface of thec9u p9r3w2 peb water. The weight of the displaced water is 2000 N. What isu9rw329 cpeb p the weight of the object?

  A solid object floats in water with three-fourths of its volume beneatjej9,mg( n49m 0jh srzh the surface. What is the object's densj 940jz mjm (n9rh,gesity?

  A 200-N object floats with three-fourths of its volume beneath the surface ofw .kj hisvuwc6l g9s6r 95x17f the water. Whvuwil6 9x9.gf1c7jk 6hwss 5rat is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. Whc lmh 0n6 3r+ 9ceniv:gs)mk+sat is the minimum area of the floe that will just support the bear in slge+k:09cn3) sn hc r6+ ivmmsaltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. Find the flow w8-mnobcg/* z rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cm *.omge+ay8s0 h8voh3 p i4phj diameter restriction in the line. Whgooaimh 3 e8 s*vh .0yp+j8hp4at is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal p 7:a9 :suu7uqrtx8g gte jcd6;ipe 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 8ru3wjf6j+p xme - /q;khur(i pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the pummu6qh/xpu38(jire j;fr w+- kp?

  A hole of radius 1.0 mm +66onbcg oopt*)xb n9occurs in the bottom of a water storage tank that holds waterg*o+obp 9x tnobn6) 6c at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectional area 3d f;yx 3uojlv/d*h rvr2wy): $10.0 \; cm^{2}$ 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 poubdvnw/ojo6sc(6k /2qr 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 do n/k(/6sw2co6bv qjneglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up of*goqo k+0 9.qdff ,uvi fatty tissue on the wall of an artery decreased the radius by+k0u ,oiqqv.o 9*gf df 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are place0um1y9f60+fe xe t tay(uq)bpqig9 n.d in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube Aa0bg) f( u e9.pf6yien 1 u+tmxt90qqy, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise ino u4(4 x1eutewj wua)- a capillary tube of di 4 a(-eoue )1w4jwxuutameter 1.2 mm?

  232

  To what height would water at 0 degree Clk wz 6*zgmum+*tp4n) elsius rise in a glass capillary tube with a diametpm4glk6 *+t)z z wmnu*er of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the watfjtk /2inpu4ad ms7 45er rises in the tube to 4.0 cm above the level of thef75sa4kni4 p2um/d j t 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 0.600 m with a soap c+;.gu rutv5cd,kkrl2 8c h (gfilm formed within its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force does the soap film exert on the 0.600 m sikrg v,dul(;r.uk+8 t5hcc c2gde?

  An adjustable rectangular frame has length 12 cm and width 5 cm,u gxgf:j3;( 3 rcpzp (z;mz)fw 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 0.02wp zf;x ;u mz(3z(3pj)cfg:g r6 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?