The three common phav5 jgho asnte17 rlqp0f/6xjdx8 27 4pses of matter are

  Density is

  Substance A has a densit+3 l +tjgeaoi fbi1i.e1h o0:sy 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 0qy )w;*uz3q-/w1qr . ow myrtn,az0jo sg7sspressure?

  Consider three drinking glasses. All t/-fo a. w m0/xsusumn1hree have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glassfsmn//u x.u-wa0oms1 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 the pressures inside a8 3uu*./y uu(9 irytwqsu5gjand outside a tire called?

  When atmospheric pressure changes, what happens to the absolut9bj569c rkrc oqcpm 119+m yhne pressure at the bottom of a pool9 cm6c orkyjnpqr+5c 1h1m9 9b?

  You are originally 1.0 m beneath the sikni, ec8 4 lsxb.k (uni37.6d urlc2nurface of a pool. If you dive to 2.0 m beneath the surface, what happens t4kl2c3r,un die6n 8nu.x kbli7 c(s.io the absolute pressure on you?

State Pascal's princi60ex1 9b*glz :u8rn zddkqy6eple.

State Archimedes' pria 6(sfom8;g b5f pu3jrnciple.

  $50 \; cm^{3}$ 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 watwjm ) * 7lp 4u70j.f*xc j ltaq)yi;0fmv-tbuger of constant density, what happens to the buo7*it.vtg xqcj jpjw0l amf 4)b7 y0ul* u;f)m-yant force on it?

  Salt water has greater density than fresh wa (8,zdnf2kqn 73gse1.bdz c px.vjp:xter. A boat floats in both fresh water and in salt water. Where is the (kexf28psq31pz :jdc .nn 7z dxvgb,. buoyant force greater on the boat?

  Salt water is more dense than fresh n,v/8v7 jcatrx bl8-q water. A ship floats in both fresh water and,crxv7q8/vn -tal8j b salt water. Compared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in w vsuvi2:po/u(9mlf2:c0 j i mhater but floats in a pool of mercury. Where is the buoyant force on the ball greaterfui9p2cm 2/s:vjum vi olh(:0?

  A 10-kg piece of aluminum sits at the bottom of ao-(f/71 scam gnbhkv + lake, right next to a 10-kg piece of lead. Which has the greater buoyant forc1-svbgf(/ak mno7 h+ce on it?

  A piece of iron rests on top om*5vvd q9ge4m.j6fei f a piece of wood floating in a bathtub. If the iron is removed frod 9j54.ge*miqvm 6efv m the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood sits on top o 5 mrk6pqaz04 tmeq1+gf the first piece, and does not touch the water. If the top piece is tak51kmp6qat+gmqre4 0 z en off and placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is larger e:6e*hii9,xeg ,p l kqthan at point A. Where is the speed of the :ekx qi, ee6 g9phli,*water greater?

  An ideal fluid flows at 12 m/s in a hor:9se j(nfcks .izontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider sectiocf( :9e.jnk ssn?

  An ideal fluid flows at 12 m/s in ad:.p ;wtffrr 8 horizontal pipe. If the pipe narrows to half its original radius, what is tt p; f8rfw:d.rhe flow speed in the narrower section?

State Bernoulli's princip d8q* 7(k 23spycgtn3kiii8se le.

  Which one of the following is associated with the law of conservation o8i6s kj.lg e8l,o ekw6f energy in fluid6.s,e88lj oli6 kekgw s?

  As the speed of a moving6dxcvcofo4,2ey;zwb;+ v;qm fluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger than+y;/ feqk k3xg at point A. Where is the wateyfqkx +/;kge3r pressure greatest?

  When you blow some air above a paper strip, thgk93-yevg s-v pvf.i3e paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of a. g eatb( cd85r3r+v3zlan 9tcir resistance o gd3c8r.ncr9+ az5bt(3 atlevn him is

  Two Styrofoam balls, of radii R and 2R, are released simultaneously from o,m2)l)hk9qjlg v(j.w usp 3ga tall towq9 ujlw3),lm j2p. )vghgk os(er. Which will reach the ground first?

  When a small spherical rock of radius r falls through wai)3 ,ccg(jjz dter, it experiences a drjg)d j,ciz (c3ag 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 eff :fyo 3h4,iheeect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quanti3i:ef ,h h4yeoties below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the sa)7if 5-d -irtz/k tjngme length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flowrfdk5 g-7i-t/iz j)nt 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 in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as lonlz/ljz -kgj/: bm81r ng as pipe A. Water undergoes viscom-/r1zb g8ljln/j kz :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 tastes greasy. This "greasy" taste seems to beuby- 0*d rsrzy0arozvu-:lp1 76mkmz.s :5dm associatmlrszk sy-.pr yab :*0m6d0z7 z:odurv-um 51ed with oil spreading out all over the surface of the soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in wate5yykzd.a) 0xe+2qb e vr, the water rises to a height h. If the diameter were half as great, how high woulvk5ae0.d zeq+y)2by xd the water rise?

  Certain insects, such as the water bug,g:k ifw ek6 :;l-q5jajpa) ez) are sufficiently lightweight that they can run on top of water without breaki6e :p;zkie lg-jakqwfa5):) jng 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 lightweighi)i8qia-yd .5d p m8zct 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, etdip 5y-diai88q cz.)m c. What is the maximum upward force on the feet of bug B?

  A plastic block of dimensions 2.0rbm x *wg6sc0*. kcpv00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. Ws.wxp*v0 mg c* ckrb06hat is its density?

  A liquid has a specific gln6u(ckeb+2(x;w7 ru l0b2a rn;t f ygravity of 0.357. What is its density?

  A brick weighs 50.0 N, (1 mf;kgjb* 3orsrvo:o3ryc; and measures 30.0 cm x 10.0 cm x 4.00 cm. What is the maximum pressure it can exert on a horizontal surf1 roy(gojv rcsr3o; m3kb:; *face?

  A person weighing 900 N 99vvgnn /zzs3 is standing 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 depvo(lu1tq,lfwgps 2x o5mf8;+th of 120.0 m in the oc2mfl+oft5wvgpo1 u ( s 8l;xq,ean?

  A circular window of 30 cm diameter in a subma wyh2oha :,kr3d rw*6c*vump/rine can withstand a maximum force okyvd,:ru wmho chw*32par6* /f $5.20 \times 10^{5} \; N$. 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 k1 mobeh7/ yekd4 h/v0pPa?

  What is the gauge pressure at a location 15.0 m below the surface xrn pj-- 2f ue6ny e:-fy7mqg+mh;5jl of sea? (The density 6jyg;mhe - 2qpf7m5-:nf-xej uyr nl+of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the ;o 9kzmlp8 ha0*8vt u:su fs y01tyid:surface of sea? (The dek8 o:isdspf va9 h01y0uy;:z ut8lt* mnsity of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston ofy:v -:gtre 8 nqp2hwt, a hydraulic machine. The small piston has areregh:t8: nq 2w,vtpy -a $2.0 \; cm^{2}$. 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 (e1)gbsj*wba 5.0 cm and the large piston has a radius of 15 cm. What fo)ga(b1j*s webrce must 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 piston. Wha n 3)mxx;frl;v, rnmh kgi-d(9t force g (inm9d 3vknf;,h xr-)rl;xm needs to be applied to a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydra( m;lp 6ltn;wdulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 1t d;l(wml;6p n5,000 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. o8x/+i mb/ b( 6 d)shk ,kvcwlbg9rf;mnq ,eb4 What is the buoyant force of tmg4vkb b,lfs9kn w/i/)x;bod,hbmre c8 6+ q(he water?

  An object has a voluuw ,6n+t,r6xx fw/v ygb:x gn+me of $4.0 \; m^{3}$ 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 z*ac/pqy yd2.w4e m(ks i2 sn xwqnhez. 4*d74while submerged in watery ad4x h*7sn/iqez (.ze4kqnw2dpsw24y mc *.. What is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of golq6lnrih61 + zsd 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 sub9 /z ift; :qr+oe7crllmarine (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 whe(i u50g8 traa-i6rmfpn it is in air and 6.86 N when it is immersed in water. What is the specific gravity of the tmiuaip-( 50r8frg a6object?

  A container of water is placed on a sqt/ dg-y0x-b4i *rumucale, and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from q-ui/-y 0gu4mrxd* tb a thread and lowered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum w tm0mo/sil :n)ith a mass 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 wil+r7tk8ezbg:9u xg yd. l just barely float in water. z9reg.+db: k7yu8gt x What is its mass?

  A rectangular box of negligible mass measurei* k5 pch msm1w5.kzy87mgch.s 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the box before it sinkp*sk1g.mmy5c8iz .57mkwhc hs 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 v+2p p bhi5h;hthe surface of the water. The weightvbi +2 phhhp5; of the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the sffk/h a(rat p17wva74urface. W f7 1/avakw47prtafh(hat is the object's density?

  A 200-N object floats with three-fourths of its mev5i/ fmh)hdvz:3s4volume beneath the surface of the water. What is the buoyant force on the objeih4/ mh:fmd3v5e ) zsvct?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thick. Whw,,d/y micff e8v57ec at is the minimum area od, cf5w , e7/fvymc8eif the floe that will just support the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter *j*xyouxmas g, :g(6 j3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pipe at 1za,3 krqr cj, nm7:dn2.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity indmr a7:,,r j3qnczkn2 this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure oj9 2gdb*9ndu0mi hco9f $3.0 \times 10^4 \; N/m^2$. 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 zbh+ z8 / cmvux*01ync5k gb1/3kzerq pump to supply a drinking fountain with 300 kPa, if the fountain is 30.0 m above the z03*hz u/8b1mnec bkxzv +kg/rqc51 ypump?

  A hole of radius 1.0 mm occurs i bsj(i0zooowm86i0 zn) 4zfo*y1 4hasn the bottom of a water storage tank that holds water at a depth of 15 m. At what rate win0 h1)ay4(jsozo mo*f8z40i z 6ibo swll water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectional qbf8+a2x6k:upf 0hac 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.d,b6ysl06. s0nncktn20 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 onn0 t6 l,0n6kd ybsc.sil is kept 6 cm above the top of 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 artery decb3vx: 4i:x lhsqhw6.k+i d v:oreased the radius by 10%. By how much would the pressure provided by the heart have toxsvb. 3d:6+4lh ikiv hxoqw:: be increased to maintain a constant blood flow?

  Two narrow tubes are 1 pa3-g(wzf(ibi .o2 ,xbhg0x8irool placed in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it rise oxx2(i3p 8gogfr1 b,0lbiwhzo- a.i (in tube B?

  The surface tension of water is 0.073 N/m. How high will wate9e s+r21lxjl pr rise in a capillary 1ll+js xp2er 9tube of diameter 1.2 mm?

  232

  To what height wouldbbc s py rf-dlqx2fq-*25z8ob 64-t vw water at 0 degree Celsius rise in a glass capillary tube with a di -fy*8dzoc2p-6wb 5fr4l2-bqx tqs bvameter of
0.50 mm?

  A narrow tube is placed vertically1 +uqqf hxzc208ubz1i 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 by the addition of some8+z b01 u 12zfiqcuxqh soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.1mq nkby o//-bij;f 1m::slx q120 m and width 0.600 m with a soap film formed within its confined area. If the surface tensil:s/1:f oxi j/b;y-qmq1bnkmon of soapy water is 0.0260 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 cm and width 5 cm, and ishg; y* dm4vxx57 kvc(m built in such a way that one of the longer sides can be moved without bursting the soap film contained *(vmx4 m ;cd57gxvkyhin 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?