The three common phakwpg2b) pe8z .ses of matter are

  Density is

  Substance A has a den m1g4+ye tlrggmr+7 vz,vk*- osity 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 pressure e7br -de0gm qm2 c*/v)g1imty?

  Consider three drinking glasses. All three have the7tu7s1;uxbqjhc (k+*tm cb 7q 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 atbb+j tc7us7qtq17mhu( k* c; x 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 pressp :rf1vtdc.d(l4pka 3ures inside and outside a tire called?

  When atmospheric pressure changes, what happens to the albq fb*ab*9pi3 kh )5 osp25lzbsolute pressure at the bottom o*)qb pi92hpfbak3*l o5 5szlbf a pool?

  You are originally 1.0 m beneath the surface of a pool. If you diu v9zyi6p-- ewap(kw7ve to 2.0 m beneat6- waup7ey v9p-ki(wzh the surface, what happens to the absolute pressure on you?

State Pascal's principle. a()cx mwdj1d6

State Archimedes' pr +x y gv31kequtd sd 7eh9pm+t8j+b70yinciple.

  $50 \; cm^{3}$ 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 qbgj m* /qy(1us.eiu8 into water of constant density, what happens to the buoyant force ony.j u(iu1m /e*s 8qqgb it?

  Salt water has greater density than fresh water. A b x*a j47(owdjorl3: sloat floats in both fresh water and in salt water. Where is the buoyant force gls74oj* x3lwjdr(a o:reater on the boat?

  Salt water is more dense than fresh water. A ship floan +c:ym8 92chd40 9 (sgbebkj/qqrxyjts in both fresh water and salt water. Compared to the fresh water, the volume ycbh8:mq4 xkj s 02jdbnqc+( e9/9 gyrof water displaced in the salt water is

  A steel ball sinks in water buxe;7rllj b) g6 (yry.st floats in a pool of mercury. Where is the buoyant force osyj rex;r7gb l.yl6)(n the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next tok /zc7k /ovpk( a90hvx a 10-kg piece of lead. Which has the a zk9p(o/h xkvc/70kvgreater buoyant force on it?

  A piece of iron rests on top of a piece ofassv3;ijpg :;k93vivznd 0 3m wood floating in a bathtub. If the iron is removed from the wood, what happens to the water level in thed0 kvg3 j3:nv v93;sipi;amzs tub?

  A piece of wood is floating in a bathtub. A second p9 sfrgx 8d.cg.iece of wood sits on top of the first piece, and does not touch the water. fxgr ds98 ..gcIf 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. Th;r*i yn2in4 fbas8ok-e diameter of the pipe at point B is larger than at point8ibn as;2o*ifkr4 y n- A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens t9ja6i4*3 ri idkxawm5 (3o cunone-p,o twice its original radw*n ejo6oim4, i pcu-a(35drx3an9ikius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows zv6n6e+bv 4ro 8 2fbwfto half its origr oe6b46nfbvf2 v z8w+inal radius, what is the flow speed in the narrower section?

State Bernoulli's princ 0zpuk5v c0u-piple.

  Which one of the following is associated with the law of consrd5dvmx 0:q +vu-hd a(h e6+um9ac(mqervation of energy in+ -e6q0v mqmd:xdm u(hh+aavuc( rd59 fluids?

  As the speed of a moving fluid increases, the pressure in the3/y c,y y7db:x.i wnsh fluid

  Water flows through a pipe. Tdmbonc j26 w;lv1,kd 9he diameter of the pipe at point B is larger than at j dok6c;1,9bvdnl2 m wpoint A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper ucj xalnh3*(,3h-md erises. This is because

  A sky diver falls through the air at terminal velocity. Tdd4o4g md 1 -hgm54a53ucbhgjhe force of air resistance on him ihmd3u-gdo4cj54 g 1bg5hmad4 s

  Two Styrofoam balls, of radii R anx ea4ujww ue(0+ tf3a+d 2R, are released simultaneously from a tall tower+w0u(f 4+u e wxae3taj. Which will reach the ground first?

  When a small spherical rock of radius8slazle*t3 r8mj 4,bzy 2+cgc r falls through water, it experiences a drag force ljs,y8 m+r l*c z3czae2t48 gb$F=arv$, 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 narrd5w kxzs g2n.9ow pipe? That is, if you made a 10% change in each of the quantities below, which wkg nz sd5xw.29ould cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twicee(1o*5(k d 9aq3 ,kdqcxf aoyd 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 the flow rate i9qd 5 xk1*cdy f, dkea(qo(ao3n pipe B?

  Two horizontal pipes have the same diameter, but pipe B is ;* n *nuau9uoltwice as long as pipe A. Water undergoes viscoon9uu*al un *;us 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 l t a1v7c,v; zhy0eru*tt9s2ptastes greasy. This "greasy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of stayi lht0*t9rv21syc vpzt u7e,a;ng in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water ro1plbg yfmie+rs48 1w 2 h+nj8ises to a height h. If the diameter were half as grnos f+jh 1 rw8pie+lb28my4g1eat, how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lightweight that(wr mb: s46fg jq2d2lt6 q:bvr 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 rq(r2sv 6w4b6blfq: t:j g 2dmtwice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, suco6 5 kr,ojo+gvh as 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 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 vjkoo6+gr, o5 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 ;jprqo e+ z yr1jb+;f8x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its deqf z;bjr+p y 1+;o8rejnsity?

  A liquid has a specific gravity of 0.357. What isf:c j3jffv:sz361ul h)oea x f /8qsq8o.jv4b its density?

  A brick weighs 50.0 N, ikrs3rb 4wv v; zl55p4and measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exs5vv5i 4r3lwkrz;b p4 ert on a horizontal surface?

  A person weighing 900 N is standing on sk84 6plr o(ajwnowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a dqmtva;)9 ;s oei; )ftkepth of 120.0 m in t;)ttkm qv is;fao) ;e9he ocean?

  A circular window of 30 cm diameter in a submarine can withstana;n;, pzto: (y*;wqh*r fhv dkd a maximum force ofhvw(qay d* *;p;zkr:;oh t ,fn $5.20 \times 10^{5} \; N$. 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 pres,fp8gpms3gk /-zg4 bi sure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surfac 6))/sdgip qh.9f nnlqe of sea? (The density of fl hd6nign)p )qsq9. /seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pres;9b w t:o0sdpo k1vl8dsure at a location 15.0 m below the surface of sea? (The density of seawater tp;d0 o9s :wk1v dlo8bis $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits 1wo vgcixwl)4hq2*z) vkh9ug(wo- cd6 ;m +hxon the small piston of a hydraulic machine. The small piston has area lgox-)hcg+9w 4h2 ;() 1vck qw*mv hzdiu6wox$2.0 \; cm^{2}$. 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 rd fx8wmv;8rj f/o,o7fin((q cadius of 5.0 cm and the large piston has a radius of 15 cm. What force must be ; ,jfx(m/ fcv qd8(irw78ofon 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 ;d/ duu, t1u jcrtbv(2cm diameter hydraulic piston. What force needs to be appuv;t1 /d 2ujtdb,c(ur lied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulicp: :tv6n7vt do lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a loadtnt6vo:p d:v7 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 in9pv ,r/ bwqwh+q7kk( x air and 30 N in water. What is the buoyant force of thevq/9 qkw+xw( k rhpb,7 water?

  An object has a volume ofxpvae187k r* t $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of szsoty*19ku wme;wiy1*) tcm0olid iron is supported by a string while submerged in water. What is the tension in the strinw)*0ukzcyy19wteiosm1m;* t g? (The specific gravity of iron is 7.86.)

  If the density of gold r4 ,b/- rolronq,ay4 qis $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (density 8y* mm p(mus,*0 lmf(fypyrq* = $7.8 \times 10^3 \; kg/m^{3}$) 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 i/7cyo x p,*emN when it is immersed in water. What is the specific gravity of the objecm op*i7ex/y,c t?

  A container of water isihhln26 yza w*4jf k pdgs :6- 2,pj6bny/uqt; placed on a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific graud g,jhf4iakh/bw6s:yn6p yl tp;n 2j-z2 6q *vity = 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 ma+ :-+jh 6nt5bqu0(mdrjnadg yss 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 will just barely float inc b vh6ci8.8)a zw7whg water. What is its h cav ig8 h7bc)6ww.z8mass?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m oh7c /ojuv;3j k:wew 7wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinks in a lake?3 eh;u/j:kc vo7owj 7w

  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 wa r 2st*nykn h*7s3v3jrter. The weight of the displaced water isyh *3rn3 jv tskr*2n7s 2000 N. What is the weight of the object?

  A solid object floats in water with t g(i1u n 5k:h;oyujlz5hree-fourths of its volume beneath the surface. What is the object's denuh ;jzu:yg5(n1k ol 5isity?

  A 200-N object floats with three-fourths of its +8 vt88hans ijvolume beneath the surface of th+tisvnha8 8 j8e water. What is the buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. What is the m5nc7mj, n kl x(zx4-jqinimum area of the floe that will just support the bear in saltwater of specific gravity 1.lnzxxj ,m5ncj 4q(k-703? 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 )xvgj(s5o7l c g c-cu;b7q5 /qmx)dgeflow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1.0 m/s. There is a 2.0 cpe+b 9 z.5uiu(o: afalm diameter restriction il+:za5 u b(pe9ifoua.n the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal c7 /dugmm*u +q qugdzsc*.69 epipe 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 with 30097)/ox0 ehsmggwe g 1g kPa, if th egm1so7hgxw/gge9 )0e fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom6hf7b fhm15f i of a water storage tank that holds water at a depth5f7mfh b1fhi 6 of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe/j 4f2g ax de: nm vzg/d,lm(q.d,wr4l 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 viscos u jumb5j40kd-ity of 0.20 Pa-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 due to the upper part of the fkjm0u bu54jd -unnel.

  Suppose that the build-up of fati -tmq hy+3u+qty tissue on 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 maintain a constqy3ih qm+u+t -ant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A ha n u2)u(3a .wnor/ b lx2jfmgq 1pq,jio)qr(7ps twice the diameter of tube B. If water rises 24 cm in tube A, how high will it risa qf gu( jx12j7wnopbr 2qiu .)3orm,q)/pn( le in tube B?

  The surface tension of r x1a/f5myss(water is 0.073 N/m. How high will water rise in a capillary tube of diam axs(15 /ymfrseter 1.2 mm?

  232

  To what height would water at 0 degree Cv(riz80 d7mk helsius rise in a glass capillary tube with a diametevkm (8d 0irzh7r of
0.50 mm?

  A narrow tube is placed vertically in a pan of w5v*jion v(dxuc .w 09rk:wr3s8dw9sdater, and the water rises in the tube to 4.0 cm above the level of the pan. The surface tension in the.:8ru9rd0ns9 3vw *k s5oidvj wcxdw ( 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 : ykn522 n vj rim*ptb8*u*wrfof length 0.120 m and width 0.600 m with a soap film formed within its confine krv:nnm*u* y8t i j52rbpf*w2d 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 side?

  An adjustable rectangt ;2e0lt8dtychpk : *6jfdus;eb) o0kular frame has length 12 cm and width 5 cm, and is built in such a way that one of the longer sides can be moved wiu d*;ohtsftt) y60:0jc ;l dekeb 2p8kthout 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?