The three common phases of matsx ck so1j5;tj1d y2y;ter are

  Density is

  Substance A has a de alhy mv:rr5kzpr z3*gm+9+ h(nsity 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 orw*5zthdj7 pck.0(zm f pressure?

  Consider three drinking glasses. All three have the same area base, and all tql9im*032udnmv* k uvhree are filled to the same depth with water. Glass A is cylinduv2dm 3u90*qvk*n ml irical. 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 bottom?

  What is the difference between mb4 e y9pq1s6n o:(lmythe pressures inside and outside a tire called?

  When atmospheric pressure changes 8xo v3*/ kx*b:4rzaqnnm4 +h w0riiim, what happens to the absolute pressure at the bottom of a k3*nw 8a+0rx rvm: 4*/iob i4mz hinqxpool?

  You are originally 1yzl 9k-wh0s2 /9dzbk*da hnf :.0 m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute plyknhh wsa -2:09k/z f9bzd*dressure on you?

State Pascal's princib+5,cg(d/hg1mv0u qessihb4 ple.

State Archimedes' princicv zs3yb9c t2/ple.

  $50 \; cm^{3}$ 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 wat*(4lu dsscz 1anq4z/g1o4 q7 jqzyr-yer of constant density, what happens to the buoyant force on / s4dqr l71n(ycg4z-so4yau1 jzqz* qit?

  Salt water has greater density than fresh water. A boat floats in8e.unj -x3(7jo (z rv7louy b1(vjlyj both fresh water and in salt water. Where is the buoyant force greater on the boal7ly( zxj7u81 yjj(3-jvu .ob(onrve t?

  Salt water is more dense than fresh water. A ship floats in both fresh water 6 v9 yki8ufn3kl(jwu6f/wmppkh 5ss)z 2bw 25 and salt water. Compared to the fresh water, the volume of water displaced inws9k)k5y6mj5 fpuwzk3w vfi/ 6 (u2hl28sn pb the salt water is

  A steel ball sinks in waterwat:n 1m1) ty4cl fzp77h-gp doxt 4p2 but floats in a pool of mercury. Where is the buoyant )a c1f 4tptoyw1 gdtpm4l7x7n-p z h2:force on the ball greater?

  A 10-kg piece of aluminum sits at the bottom of a lake, right next tora,m4 m94eiz9v7;cm ed .ekj i a 10-kg piece of lead. Which iei carezjm. e7vk9d4m4 , ;9mhas the greater buoyant force on it?

  A piece of iron restto hu5zux0ocm7c72v o97igw(+)uj cqs on top of a piece of wood floating in a bathtub. If the irow5gj(oict m +o c0x927u zv oq)uu7hc7n is removed from the wood, what happens to the water level in the tub?

  A piece of wood is floating ing93az7*5xzl2h ykw rn a 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 tzry 9x wan2zg53*7khlo the water level in the tub?

  Water flows through a j ;qo7 nnkm*sek)8sdnx7a 9l9 pipe. The diameter of the pipe at point B is larger than atdmlj ek*79n;s9kq)n o a7nx8s point A. Where is the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pipeh q)v(qssue7fou9 d no2 (*kv). If the pipe widens to twice its original rad ovvqohskn sf2 ))7d(e*(uuq9ius, what is the flow speed in the wider section?

  An ideal fluid flows at mvp 8k6rjsw;egfa504)/ st bc12 m/s in a horizontal pipe. If the pipe narrows to half its original radius, what is th/c4g f)5k0jv ps;msbetar8 w6 e flow speed in the narrower section?

State Bernoulli's pr3wh a i9:3vhlqinciple.

  Which one of the following is associated withsm79a12n1/ugqj ggyo the law of conservation of energy in fluid9aqg ong7 y msj12u/g1s?

  As the speed of a movingi 7o8cx -j4takp: t/ka fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B i*n69 se9gn;ijyjteyo aw4c05 s larger than at point A. Whn;5*wgys94cty60jen 9iea oj ere is the water pressure greatest?

  When you blow some air above a paper strip, the f5iqrk- t*i/z ywu.y/ paper rises. This is because

  A sky diver falls thr ob2.sejpip0 kr94*vbough the air at terminal velocity. The force of air resistance on iek2s0 bj*o9 p vb4rp.him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously fr73yv43p mroo:o pn0nrwsz m6)om a tall tower. W ymo34mnr )o6psrv7z:w o3n0p hich will reach the ground first?

  When a small spherical rock of radiun+--2gcu x,v 2ci; gvbnabl m7s r falls through water, it experiences a drag force ,c27m x-- v vun2ibbln +c;agg$F=arv$, 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 flui zgb3ojo2r . 4m4gt2iid through a narrow pipe? That is, if4 t4io3rz.bgoji2g2m 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 B has tt,x );mvc1p ue8wn3k 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 the flow ratent p1w8)xteuk; v c3m, in pipe B?

  Two horizontal pipes have the srx pfpxhcikkw0 78zr9 1hy;95ame diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same ykp18wrh; frp90kx9cxi7 hz5 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 seems to be a tn+jctg6.d )zf s7tj*ssociated with oil spreading out all over the surface of the soup, instead of statc+dz.fjn6j 7ts* g)tying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, thephli4 zi8 )u0j water rises to a height h. If the diameter were half as great, how high would thei0 )4iz8j hlpu water rise?

  Certain insects, such as the water b;3ntqne w zk;)ug, 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 the weighnn;3 )k tze;qwt of bug B?

  Certain insects, such as the water bug, are sufficiently lightweight that theo5enz 4 jl a.lwn q/ub.u1t41ty can run on top of water without breaking the surf tweza lju41bl on1uqn5/4t..ace 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 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. pscg 7uk60bm()ymc y2/yd gb20 g. What is its density?b(mu/2 7yc)mcgs y6 0y2gbkpd

  A liquid has a specific gravity of 0.357. What i+2iwv-v auq5 hs its density?

  A brick weighs 50.0 N, and measures 30.0 c7e tnj1magjjg4 go/ -oj(tim u2 bc9./m x 10.0 cm x 4.00 cm. What is the maxeum/oijjm 1gjjbg/a-.t9 (o27 cgnt4imum pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing i7wcqp(ke3jf ppd017mfq 4 )pon snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand ;t.p1p xymyfps)-j3oat a depth of 120.0 m in the oc.spx- ypyo3 1); pmjftean?

  A circular window of 30 cm diameter in a submarine can56o54uht qmh xlg-g4,razm/: gmb4t0mie- vr withstand a maximum force of hm4xgmtq5/ur g -i6tmeo0 lz:vbm4 rgh 4 a-,5$5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure if th*kp1dl-f,o8 n aalgc7 e absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the surface of sea? (The eu0in lqll3(pzh6dbv6g8);pj 8a ( gzp/za/wdensity of seawa p3d;6lv8wnhz(zl6e)(j 8pqauba / gz ilp/0gter is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface of sea? nizw*58y 8k6g-(j:po q lju lwr4a .zg(The density of seawater8j jq o a8y.5rngzupizwk:l -g*w6l(4 is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits z8h0mlp9e w7c on the small piston of a hydraulic machine. The small piston hasheclp0w 798z m 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*fk:o2:bgfru 95(fmagecp 0l piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must bkau of:f(r5 gc0g *mel9fp2: 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 hydraulic pistodv,unb90o :md6cvwf * n. What force needs to be applied to a 5.0 cm diameter piston to accom vm6 o0 9cbnf,dudwv*:plish this?

  The small piston of a hydraulic lift has a diame9knxb s2de 4c)oy5*kdter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift rais)kdo*49 sc 5xyk2en bdes 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 cu2by +th l1f1kq gq .7ld2 ,r9oc.yttwater. What is the buoyant force of q79k2l+lb1 .d ,rhu .1cg totqc2yyftthe water?

  An object has a volume ofoi/n qxxeond*v ,4..k $4.0 \; m^{3}$ 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 submerge-xe 4qz d3oyw :v;;q se::uppwd in water. What is the tension in the string? (The specific gravity of iron is 7.86.)q qe4- d x:uo :v:p;pwye3zsw;

  If the density of gold icyh 9kw *iu5kq0j 5rrft4sa2;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 (den:w8+ p kim5vypsity = $7.8 \times 10^3 \; kg/m^{3}$) 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 itftf eoy yfsvv9-4;d03 is in air and 6.86 N when it is immersed in water. What is the specific gravity of theyvd9f3ts4v -y;o fe 0f object?

  A container of water is placlp4*dk r4 l. r*ei,, rnk4xtsred on a scale, and the scale reads 120 g. Now a 20-g piece of copper (spe.k4 d,e4prnk ,l*trr4l*xsir cific gravity = 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 ma6y .arhkun 897yvsr3h h4:xx cqp/nb:ss 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 barevh) d3 dbu* jl d0y+sq.x(h(pmly float in water. What is its massvd0 ysdb +( hl(ujm).xdq *hp3?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m widb,lqe6n09y hq7ajtla3m6 pfi i-u3+ne, and 0.50 m high. How many kilograms of mass can be loaded ontob6, l6+7alii0 3qe3yn mn fp-qh9jt ua 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 haleu7vaeymv+7bq c5 vat*humjb3k q4ux )91 0d *f its volume beneath the surface of the water. The weight of the k tqv*h v)73qb+uave xj57 edbm4c1*9 may uu0displaced water is 2000 N. What is the weight of the object?

  A solid object floats wi2oy+i-3lw. q(2xfoh 8 oynx in water with three-fourths of its volume beneath the surface. What is the o3-loi(xwxi + .y28wqohoy f2nbject's density?

  A 200-N object floats with three-fourths of its volu:awydcly g- ik:w44 jhmfw 7j-i,5d u*me beneath the surface of the water. What is thfg-a4 lj uwd4wc5: *ij d-hy7:iy m,wke buoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. Whv tk.0 h8yy5cleg7 es.at is the minimum area of the floe that will just support the bear in saltwater of specific gravity 1.03? Thyh st7 e50 yl8.cvkg.ee 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 r)kb9x1 *dngq4 2xhppbate.

  Liquid flows through a 4.0 cm diameter pipe at9uc117e b:s.gafdb tvg -il;g 1.0 m/s. There is a 2.0 cm diameter restriction in the line. Whatg: u e1agl- d.f;b1sbt7gci9v is the velocity in this restriction?

  Water flows at 12 m/s in a hor)bh k 0xqda:-b/acs(;e xw3hm 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 stqfzeuns/-*9ig( -o pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the g(o--*/tuqf9i s nszepump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank tcuk c0a7aie h:ob. *+zhat holds water at a depth of 15 m. At what rate will water flow out of theu.aahk7ic+cz*0: ob e hole?

  Water flows through a horizontal pipe of cros96z i4tjspy (3pf osqn ;x;cu-s-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. k9b kcfc70q s,*rpu5w m*t6pc 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 ofr9*k7q0fu*5kw ,s p6mp c ctbc the neck, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on the wall of an 71xjt 4 lte+h) mpfkb0artery decreased the radius by 10%. By how much would the pressure provide1tlj 70 xpfh +b4tkm)ed by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pn6l + 3yxz 3fxu 3.rget3 gs8bmz2e9bfan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, hoxbz93u.n36f e 38eyftz2 x3 sb+rglgmw high will it rise in tube B?

  The surface tension of water is 0.073 N/ioy/bpt9*2 axtijzd : 8aqaby 9j5 2*q6a;tetm. How high will water rise in a capillary tube of diazj2b;9 96ia oa2*a/b 5tyjq8:tt ye* txiq adpmeter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in h3j59pac uph- a glass capillary tube with a diamet93ppcua hjh5-er of
0.50 mm?

  A narrow tube is placed vertically in aws tqa pq*i/sl0+2p+u 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 by the addition of some soap. What happens to the height of the liquid column in the qpp0/s2 + *tlauqwi+stube?

  Consider a rectangular framef4, j(vzf44buh4b59pr cjw aa 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 0.0260 N/m, h5jzf4p,f(ah b9j4w4r4 vu abc ow much force does the soap film exert on the 0.600 m side?

  An adjustable rectangus jdamh/7 .+thz0w.vdlar 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 without bursting the soap film contained in the frametm. . hjwvd/0s +dah7z. 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?