The three common phass2gkfao )wbiq( qz;n3 fnp**8es of matter are

  Density is

  Substance A has a densite8vqz84l p k+iy 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 no jdgy6-6lywx3 q; ke(nt a unit of pressure?

  Consider three drinking glasses. All three have the same ehql-wd1c xcy8p0 0f. 9g8 sftarea 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 hold-0lft 0yxgs9 ph 1.wcf88 eqcds less water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference betweeg, h9,d c ge:t.zvec4kn the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happunl7: ) ;l7yby *zpohhpxni/8ens to the absolute pressure at the 8nzphy*: b yl7 7onxh upl;)i/bottom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive -i7n; qnf2hg-1krp(dsjgkh 1 evn)9 oto 2.0 m beneath the surface, what happens to the absolute press odnq) 17hrj ;vefsgn-gk2 - k91pinh(ure on you?

State Pascal's princi f(w;uoie;v s6 w5s-vcple.

State Archimedes' princi4s7 q*mor1kgp)ai6c fple.

  $50 \; cm^{3}$ 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 dx3sdd; ;k hxq-;qym) seeper into water of constant density, what happens to the bu;dqd;) xksxsh ;y3-qm oyant force on it?

  Salt water has greater density than fresh wag699,t vwhxzcter. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on,69 hxzw9t gcv the boat?

  Salt water is more densy7eb 1a9z4 ssehq zp62e than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced inhb1426a7p sy9zz qe es the salt water is

  A steel ball sinks in water but floats in a pool of mercx yvr zp c:q7as8c,+8dury. Where is the buoyant force on the ball greaterp7 8 qyd+8xz:csarvc, ?

  A 10-kg piece of aluminum sits at the bottom of a lake, righte f22mkkm5x0 w next to a 10-kg piece of lead. Which has the greater bekfm20 w 2xmk5uoyant force on it?

  A piece of iron rests on t (fbeo za.c8u:ue6u 9zop of a piece of wood floating in a bathtub. If the iron is removed fr of6 e:u98ucz.bzue(aom the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtu:gm,gec-d z/jyc z4* lb. A second piece of wood sits on top of the first piece, and does not touch 4:dgm/gc z c*lz,- yjethe 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 pipe at point B ise7 e(nhk 6sa:w larger than at point A. Where is the speed of the wne:aeswk h67(ater greater?

  An ideal fluid flows at 12 m/s in a * zkuy /fpygxw+30br7horizontal pipe. If the pipe widens to twice 0wy7rbpxg k u+z y3*f/its original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12ml0namkr 1c4h a3 m,c18yiw3h4 netg- m/s in a horizontal pipe. If the pipe narrows to half its original radius, what is the flow speed in the narrower sectiom3i1mclmw 4 et 3c-1kag ,nh4ya0r8nh n?

State Bernoulli's principle8g0m;+4mtet yjfp 4w j.

  Which one of the following is associated wplv fi9 tx: :wvm/3 xi.,(jesrith the law of conservation of energy in r t9ifex.: wvj ,/vp 3msi(x:lfluids?

  As the speed of a moving f:xm):7i -c) nyjc vygwluid increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is larger2:7hlk*pn;s- oiaxw4eo spo, than at point A. Where is the water pressure onh4a7e2lopss:p-*i,;x wok greatest?

  When you blow some air above a paper strip, the paper rise0f:+bsf c p6zi 6s6lbvp3 tg,ys. This is because

  A sky diver falls through the air at terminal velocity. The; . zc,ic;x4kecn*pnx force of air resistancepc. k4ci* xez,c;nxn; on him is

  Two Styrofoam balls, of radii R and 2R, are releau7ul-)3 egivc br6+elrs ).ezsed simultaneously from a tall tower. vri3l -eug ulr+)e)6bsc7z e. Which will reach the ground first?

  When a small spherical rock of radius r falls through water, it expe9yq ykaop)3)n w,vi* iriences a drag force ,3yw y9nv)koi p*aq)i $F=arv$, 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 .*xt+s ffq 9zreffect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which would cause the greatest change in q f*fx +t.z9srthe flow rate?

  Two horizontal pipes are the same length, but pipe B has t /a,pyms2pz+ox3(*glh 8s avbwice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the s/xbppz gao+*hs2 (v8 a,lm3 syame 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 pipesmknl .(wshifvr (iw q(i ,,:(f have the same diameter, but pipe B is twice as long as pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference acro lqvi(wf.(,hn i:,ksfrmi((w ss 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" ow n6vkuu +)*ztaste seems to be associated with oil spreading out all over the surface of the soup, instead of wov *6)uu+knzstaying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in watv,xo *o 3q6yafer, the water rises to a height h. If the diameter were half as great, how high would o,o3 xv*6yaqf the water rise?

  Certain insects, such as the water bug, are x: 3e anq9bf6yqj(8oe 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 t:8e jq9axoyfb63 n(qe he weight of bug B?

  Certain insects, such as the water bug, are p+z; k*c 4ciu* zjsx/dsufficiently 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 B is twice as long, twice as wide, etc. What is /**uj +c ;ksc4pxizzd 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 has7msy-7yky hj 8 qntu5xhc/ r:5 a mass of 30.0 g. What is/kyqs u7c5h:yn 8 7m5tyj-hxr its density?

  A liquid has a specific gravity of 0.357. 8x p8zmxzsbvblgp5f-,9y . 4eWhat is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 *hc)o4 gxqvur 1a/4 wacm. What is the maximum pressure rh4/aowvcu*g41)q ax it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each sveyo,fk*z157btoic: pl k7i 7 nowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolutexk, pn3 +c,ps4m8.c3c;nx l ruqbmih*) must a submarine withstand at a depth of 120.0 m in the oceaxpl8i,m; .n mb*h+c3 3rs4cnkx, up qcn?

  A circular window of 30 cm diameter in a submariufp r4 k7o w;an.-q:bane can withstand a maximum force nqua.- 7bf;o4p w:rkaof $5.20 \times 10^{5} \; N$. 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 absolutl/4k:vxjkads- 42n dv e pressure is 300 kPa?

  What is the gauge pressur, b9s. bbf-ugie at a location 15.0 m below the surface of sea? (The density of seawatubi s, .b-fb9ger is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a loc7ctf5g y;vxlqvmq 9:v9rvso l m4o9t.5t(qe- ation 15.0 m below the surface of sea? (The densi-:v5. et of9v qlt(qm5rqls 7om4cvv x;ty9 9gty of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. d c+ *6ej b yeckmf9hw7-m7mp-The small pisto677ef w-cdy9 p*kbmh+mmj -c en 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, the small piston has a radius of 5.0 n60lm2(3 d iet7v)hhtthnoo hu f2/n0cm and the large piston has a radius of 15 cm. n6h2nhfudhm/t i0ote()0otl7 3 hv2nWhat force 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 lh9wyjb3qn kgc*( nw1nbu)9e, ifted by a 25 cm diameter hydraulic piston. What force needs to be applied to awnqnye1gwncbub93 ,h9 ) jk *( 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameter of 8.0 cm, owbbfu2 t8.3s and its large piston has a diameter of 40 3.buo wbsft28cm. The lift 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 weibr/lx61*rgy)d r yxq5ghs 40 N in air and 30 N in water. What is the buoyant force of the qd*b rxyly) /x r1g56rwater?

  An object has a volume of gl c*)n)xuo: e$4.0 \; m^{3}$ 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 submerged in wa j *;rrn)tbvcd+6n 60ydfx m/bf,mb+vter. What is the tension in the string? (The spen+y rf6n vdc mxf/rbv*6,b+;d0b tm)jcific gravity of iron is 7.86.)

  If the density of gold ismw,dgqok nq4c 8 u3-)a $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel sucmo ajr x3:x/t mbwyv8h0++7 ibmarine (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 when it is in air and 6.86 N when it is immersed in6p.u5d lql5 grsz(ac* water. What i(glu * 6.c5zslpr5daqs the specific gravity of the object?

  A container of water is placed on 2 l-xy0cpsrv; a scale, and the scale reads 120 g. Now a 20-g piece of copper (specific;pycx0v 2r -ls 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 mass of 1.0 kg andu91* ehewf,l a 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 bah nr2fez -br8/rely float in water. What is ihfr2re-b zn /8ts mass?

  A rectangular box of negligi)7eb:w i;vo5h1dhdzy-hw , ewble 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 before it sinks in a lab - d7 wde yv51w)hz;,w:ohehike?

  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+; cjsa2bqy58)ehl sh ter. The weight of the displaced water i yhssaje8b+2l )c 5hq;s 2000 N. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume benq95.wvz7: hl hgeuv;qeath the surface. What is the object's densitw l;v7v: ez.qhu9gqh5y?

  A 200-N object floats with three-fourths of 4pe/g xyrs0n:jb; 8 avvw5/cgits volume beneath the surface of the water. What is the buoyant vw5v p:ge / ;jsbga4rn0y8x/cforce on the object?

  A polar bear of mass 200 kg stands on 0lowxby. m 1an)k/qq8 an ice floe 100 cm thick. What is the minimum area of the floe that will just support the bear1 .)8 bymo/qknaxwq0l in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0ajtu lvg,i8 sp/n-p:* m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pi bzp0+451h n.eib k6uzqx)ied pe at 1.0 m/s. There is a 2.0 cm diameter restriction in the li4p b id.iu)1b65q n0+hkzee xzne. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure of klo6koy0x::p $3.0 \times 10^4 \; N/m^2$. 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 fo- a.wenj(r +pwuntain with 300 kPa, if the fountain is 30.0 m above the puw+j.nrp- wae (mp?

  A hole of radius 1.0 mm occurs in 0,)o/ajqmlsp 5 b;fsj7zx1i k the bottom of a water storage tank that holds water at a depth of 15 m. At z)ij,qm x ;ao57 jp1kf0s/ls bwhat rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-sectionaluwrz( 0sf38-f0 ce. )tkl 8 dtyeg(qke 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 Ph+h d455d nwldtk0 gpn5lb:6-t ar5bpt /yhj.a-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 oabh:0dk ld 5g 6ntbl.tp 5n-y/5rdhhw 5p4tj +f the oil 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 decreasedg(c hlo5p-,j r the radius by 10%. By how much would the pressure provided by the heart have to be increased to prj5-, lgo(ch maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube A tgg:b5z. ggn.has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it t.b g. 5g:zggnrise in tube B?

  The surface tension of water is 0.073 N/m. How hnk 1apdc4a83jigh will water rise in a capillary tube of diameter 1.2 mm?cp4jk8 dn3aa1

  232

  To what height would water gtsq+4p2;6ccs +up m nat 0 degree Celsius rise in a glass capillary tube with a dia;t6+mspqg+ns2cp 4cu meter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the waynwdfveye:x :xqhrj m9+1zh+(gaw :h ,bd35 1ter rises in the tube to 4.0 cm above the level of the pan. Th:hy5,q:amdeh1nwg h3 we x19db+fjvyx :rz(+e 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 soa y(6j*mvd 8kmzp film formed within its confined area. If the surface tension of soapy water is 0.026m8jk(dyvz m6* 0 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has leng ulz4w *eiyomy5a4g5v2c-:nadw0 awh0 0vo3ath 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 frame. Soapy water has surface tension 0.026 N/m. How 2aowwe5 04viyn l03d0a4w*a h-mzu5:cgyoa vmuch work is required to move the adjustable long side so that the frame is 12 cm square?