The three common phases of matter are+b 4gd iwyvd,9 hnf7/q

  Density is

  Substance A has a densi xexpvez/4j0 .ty 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 jfyfyd+n+ )cr 14-v uea unit of pressure?

  Consider three drinking ci to+8dnst/ .q1s(hwglasses. 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 haso 8. swc/hntti qs+d(1 the greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and outside ayi y+ff-ib . ln vp1fv9m/d/ d si.+zwf/dfk97 tire called?

  When atmospheric pressure changes, what .r 4oyqrqj) 7z 0.uiwr,ixj0whappens to the absolute pressure at the bottom of a p oyri w0u)r7qwiz.4r,x jq.j0ool?

  You are originally 1.0 m beneahj rydf:ez 6-;w2)z+bccjmfz5y z6y1+etg* hth the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolutef+j5emf;y1r j +h z6t-6chwy c:d*)2zezgzby pressure on you?

State Pascal's princi-3h,hsvglui 2kub: 4g: -wwiqple.

State Archimedes' prih lk1.4guxbl ;nciple.

  $50 \; cm^{3}$ 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 constanta hkrz-lq:k06 density, what happens to the buoya:raz q-0k6kh lnt force on it?

  Salt water has greater density than fresh water. A boat floa qp,wvvda 801 hid;zw6ts in both fresh water and in8w1a,dp w vzi6h0vq;d salt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship floats in both fresh watel.2 dib b(48vap/ cmpir and salt water. Compared to the fresh water, the volume of water displaced in the salt watei/(4 bilm .dcp82b vapr is

  A steel ball sinks i lq2ewn/s t1*wn water but floats in a pool of mercury. Where is the buoyantwl1 t2sqn*e/w force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg1 en:3ou9y ex0nnfc /g piece of lead. Which has the grnen:3 ue9 xn0ogy 1cf/eater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub. Imnz ool4;jrb9.m63z lf the iron is removed from the woodm 9rmobz3 lj;on.lz64 , what happens to the water level in the tub?

  A piece of wood is floatin7(um8br h uju/g in a bathtub. A second piece of wood sits on top of the first 8j/ ub(urh um7piece, 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 tub?

  Water flows through a pipe. The diameter of the m m ccuz(p 16wpd//,gb8w p9lrpipe at point B is larger than at point A. Where is the speed of the water 8 p9m /c6p,url1pcgmwdw( z/bgreater?

  An ideal fluid flows at 12 m/uu z+kirds;wy pnnv3/:eva; :p1( q;cs in a horizontal pipe. If the pipe widens to twice its original radius, what is uwv/y:zp(rnud;p 3; 1ikce+avq: n;s the flow speed in the wider section?

  An ideal fluid flows at j6ucc 1, av6nm 5axbtt+lw4s1 12 m/s in a horizontal pipe. If the pipe narrows to half its original radius,lct+6, m 5autx1v1c6a4swnbj what is the flow speed in the narrower section?

State Bernoulli's priqgr fyniebq3 hx39 6k13,pp c/nciple.

  Which one of the following is associated with the law of consp* zkdj*w- wu9ervation of energy in f9*wpw *dz- jukluids?

  As the speed of a moving fluid increases, the pwco6,t .9g )b)abq ttqressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger than 4*njzg,e4xgkcm)o + yat point A. Where is the wate +g*goenkc )4xj4y,zm r pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is z:p(j;v h bq,yq 5d7dvbecause

  A sky diver falls through the air at terminal velocity. The force vz( y6xnpkat;1w99 1:rb)pt jnq,crw of air resistance ca(:r tn1,pjvnwxt;bz6 r)qk19wp9y on him is

  Two Styrofoam balls, of rafct :o8 df1f7gy45*)l0wa)mm vr4 gji z3ohekdii R and 2R, are released simultaneously from a tall tower. Which will reach the groun : )wfe tajgolyi*vfh40m1cf7)md5 z k8g4ro3d first?

  When a small spherical rock of radius r falls through water, it experiegb/hn 1ki 7e(vv3b9 hences a drag fo iee7/(bb1vghv3 hk n9rce $F=arv$, 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 throb9dl0 . fsi4lwugh a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in thbl 9 w0slf4d.ie flow rate?

  Two horizontal pipes are the same length, but pipe B has twice thss yxk,).(sez 2, ntd0p+lvgke 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 the flow gs2ed0+nx,k.z vl,( tk sy ps)rate in pipe B?

  Two horizontal pipes have the same diameter, buu oj6 guuvy.ls3g:v78m+ v +bpt 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, wp svg 6v:juv++l8u3 mou7byg.hat is the flow rate in pipe A?

  When soup gets cold, it ofa/ a n(rt zrs.wfz9q20ten tastes 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. To us "physikers", this is readily explained izr 0qfs /tz ar9wn.a2(n terms of

  When a tube of diameter d df*vg bd /uo(3is placed in water, the water rises to a height h. If the diameter/fod* gu (b3dv were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lighv sftb,6+.sl ttweight 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.b, v6fs s+ltt 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 lightweighx ec1d x+6 6w4ql 8t4xzhch-wgt 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 6hq zc4x4- +w8hxget d1 lc6xwwater 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 hamcejhm2*;(fg96*eahy*ol lk sq xs;(s a mass of 30.0 g. What*; g** 2o(6(mf9 qlsk jhl;m hysceexa is its density?

  A liquid has a specific gravity of 0.357. What is its denstntef;i :)g m iou5 *p7mxh64xity?

  A brick weighs 50.0 N, and measures 30(n1 j0:wzl5;6c( ne*behh cdf z edhb/.0 cm x 10.0 cm x 4.00 cm. What is the maxi h*n eh/bj1 (:dzd c;(efe05blhwzn6cmum pressure it can exert on a horizontal surface?

  A person weighing 900 N is standin9(31ill2js co/v1yyb4*as zljaz 9l og on 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 106: s ;8,r:vw5 gxlpxvpg atrm20.0 m in t6,gxva s:lvw :x5 rp0m;tgp8rhe ocean?

  A circular window of 30 cm diameter in a sunmm4*0 1 u)bzltzw .twbmarine can withstand a maximum force onm 0tt uw)14zb.lwz*mf $5.20 \times 10^{5} \; N$. 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 300 kPa8 e(u ban/2unyta1t-h?

  What is the gauge pressure at a location wc,m3sd4 7ld.m tn7 fo4m1i/vxofmx -15.0 m below the surface of sea? (The densityo3xvd.4,s 7in-fm71l wot 4cm/ mmfxd of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below 0.j+nyl omysl . -kz45 34htitjz5hzq the surface of sea? (The density of seawater i-qmn4zi oy.k j5s+ tzjt5 3h.zh0 l4yls $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. The hbjo48 fl2d yug+xi1 -small piston gyiu2l4fhj+dx1- b8o 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,i ok-8z4el:xn the small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the 8:ol4n iz-k exsmall 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 b8e.via tim 8j;:rv3sa 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplishrvi.asjbi ;mv8et : 38 this?

  The small piston of a hydraulic lift has a diameter oqnkj nly, 3;w.d uw781ddtk t.f 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a lwu.w3,t1 y7 dtnk.q 8knd;jldoad 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 ,gz7ru y8bz01a wdef-30 N in water. What is the buoyant force oue7r0z-,gbdzy8awf 1 f the water?

  An object has a volume ofe72 dgu0 x6gdw $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder o.0c j:veph6 i )mgbvl-f solid iron is supported by a string while submerged in water. What is thejl) mih06vbec:v .-g p tension in the string? (The specific gravity of iron is 7.86.)

  If the density of gold +aoqv9 mt.j1ue9kvg: 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 submarine (density = d9,c; 5aztse dh29fmr$7.8 \times 10^3 \; kg/m^{3}$) 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 immersq le)4wk r*i5gb7 vklev+hx64ed in water. What is the specific gravity of the object?b*v4g )e l5i6kxlw rk 7eq+h4v

  A container of water is placed on a scale, and the scale r4vvh(ri sa2te,)p(21 kess :kojsb2meads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is t2 4be:12 2s(ov(ss e)k hk,p vrjsamisuspended 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 density pqr, u+d18fxwof $2700 \; kg/m^{3}$ 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 jus9cjm jr 2rxw-t0x86d st barely float in water. Whadrw8x -m9 6rt jc0xj2st is its mass?

  A rectangular box of1c p2:a vc)opv 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 b:c1pc2 pavvo )efore 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 m92c m5;hm +uc7geieosurface of the water. The weight of the displaced water is 2000 N. mi mcmhec59 7 +g2oeu; What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath ta 85ru/l c::f jgasez+he surface. What is tesz:+ cjfl:a5/rau8 ghe object's density?

  A 200-N object floats with three-fourths of its x,kw /;k*udz pvolume beneath the surface of the water. What is the buo d*kpxwk ;u,/zyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 10 jhtu44x.dg 0uog7b2z 0 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.uzxht gd2uo7.b404 j g98.

  Liquid flows through a pipe of diameter 3.0 cm atwb0j5stm08 cf 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diamett*eed4w8mz *s k wg7p+er pipe at 1.0 m/s. There is a 2.0 cm diameter restri+47 e 8wgzs*d mptek*wction in the line. What is the velocity in this restriction?

  Water flows at 12 m/sfr8wu g; accq6tpg5 z:/nv+6 l in a horizontal 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 fountye ,8y7owa l-;l99wlqsj-cjj0zhwx 0et)s4vain with 300 kPa, if the fountain is 30.0 m above the pumps9wtj);7y0h4z-wj 9l s0vc e ,ljo wqly8x- ea?

  A hole of radius 1.0 mm occurs in the bottom of a wa rawg-h4) kzv5k8q rzf30x6uqter storage tank that holds water at a depth of 15 m. At what rate will water flow out of-fg865xzw 0r)q4 3r aqhzuvk k the hole?

  Water flows through a horizontal pipe of cross-n ish6b*koj,1kk c 5k,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. Hojufs;s0y:u x4w 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 due to the upper part of the funnyu; 40ux j:fssel.

  Suppose that the build-up of fatty tissue v-)y m79 b97bvmvckcj: spr5hon the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maint7b b:r)sc9 -pmk jv7hc5yvm 9vain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A has twice the diame31 -wq xt*f imrp45mdrter of tube B. If water-rm1pfq* x t rmd53w4i rises 24 cm in tube A, how high will it rise in tube B?

  The surface tension h kp9 8l0(nalbbrl1p)of water is 0.073 N/m. How high will water rise in a capillary tube o0bl )8nh 1r9ba(ll ppkf diameter 1.2 mm?

  232

  To what height would watej: x+3wfud y/xr at 0 degree Celsius rise in a glass capillary tube with d xfy+:wx/j 3ua diameter of
0.50 mm?

  A narrow tube is placed vtrg(oyhb i0frr y:y)p v0gq2* cox ))mv-f/t2ertically 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 lowered to one-half its original value )/rmyf* txgo )2 i yb-c rv:qy 0vfoh0t(2rpg)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 5h2ipynap++ ydg-04vfy bak5width 0.600 m 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 exert on thyap b20 4-hd 5gk5y+npfivya+e 0.600 m side?

  An adjustable rectangular frame has length 12 cm and widqi/b(c h:m ya3nqqg 05th 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. Ho0 :c byn3qmg/(qhqai5w much work is required to move the adjustable long side so that the frame is 12 cm square?