94.17: A cork has weight mg and density 25% of water density. A string is tzp+u8(fk-8yx1jjee ) u*tnlo ied around the cork and attached to the bottom of a water-filled container. As shown in the accompanying figure, the cork is totally immersed in the water. Expressed in terms of the cork weight mg, thu )jkx(1f*j8-z y p+euot nel8e tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic centimeter q;1yt )kc,.uk e8x9m:yf hgreq(s hh7 of pure gold is 18.3 grams. What woulucsq7;xmk) .yhtg8yq9hek 1 , :frh( ed be its mass in air?

  04.29: Three fishing bobbers all individually float on top of watg acd)h1y,5yqj:u /ql er. BobbersA and B have identicl)15auq:/ jcygh dyq,al masses and densities but different shapes while bobbers B and C have identical sizes and shapes but bobber C has less mass and density than B. If three identical weights are then tied to the bobbers and all three are pulled completely beneath the surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best stw.)m+lvbovln 1* dxhe 9z6qj0atement of Pascal's Law?

  05.24: The hydraulic press, whicckq(o6;k 6ygbl) 4lu 8xpjgiuc q1 l)2h allows large masses to be lifted with small applied forces, is a consequencxg 1 (; uyj )kl8c qq)kl6c46bulopg2ie of which principle?

  06.30: A copper block i8vlt s12m4t;l0;pxmtsaqf f6s connected to a string and submerged in a container of water. s1fts 6;a xltq8m ;mtpfv204l
Position 1: The copper is completely submerged, but just under the surface of the water.
Position 2: The copper is completely submerged, mid-way between the water surface and the bottom of the container.
Position 3: The copper is completely submerged, but just above the bottom surface of the container. Assume that the water is incompressible. What is the ranking of the buoyant forces (B) acting on the copper blocks for these positions, from least to greater?

  07.36: A driveway is 22.0 m long and 5.0 m wide. If the atmospheric pressure 4iqldi w;8zjlou/ 8v08s8wad, hfb+ nis lod q4whw 8bdji n8f/la+8v8s0z,i; u $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and unqe51puxelh,2g. b j k0iform 10.0 kg object floats at rest with 75% of the object submerged in a cubical1g.qpe5 jb0ukelxh,2 tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of aluminum have equal9i, c(6a m m c s-ugrlk:y+c8;aw.ddoy mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object ec9cu8;+y 6osard y-,k:lg m .(mdawcixperiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This bc;zq:yew6c 4k d* 2uofalloon then is released from rest two meters above the ground on Earth. Which one of the following cho 2oecuk 4w6d:cf;*qyz ices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expand3qzns.kozk7 9g 5 pjatj-)5kwvu;xv243wzeyed to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas.qwk3 yok.7w -gk4tv3anp5uez59x zjz;s v )2 j Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal 5h9tsa+eo,)pm x u9bv circular pipe. In one region of the pipe, it has radius R. The pipe then widens t+ x95sp bta,vu9)e omho radius 2R. What is the ratio of the fluid's speed in the region of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing 9x 5gpybiq:de; gvf1,cross section as shown. In which section would the pressure of the fluid bxefgvpq;9 5 ,d y:bgi1e a minimum?

  07.35: Two objects labeled K and L have equal mass be 7zh)ii l4p *d.ihnc:ut densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acz h4di:npe .i *cli)7hting on these objects?

  08.16: A block is connected to a light string attao1kcarmm4 )uu 1 4pna9r u2b(dched to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational forcen1muucok 4(41 a2rbp) a dru9m from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mas *qge*sgi ( k o)aq*gwh-)-xrss hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely submerged in a container of water. Which one of the ge qq (ws **o)r)*h-a-ixggskfollowing choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uni0hu*e o2d 6ui2nbrq;i e ws:wg/p2qn /form density floats in a container of water wh*iei2uup wnn /gr26: /qs2w0oed ;qb ith 60% of its volume submerged. If this same cube were placed in a container of oil with density$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cylindrically-shaped pipe.(sl. u bl6tsy; At the lower end, s;y t.(6llsbuthe pipe’s cross- sectional area is $ 30.0 cm^{2}$ whereas in the upper portion, the pipe’s cross-sectional area is $10.0cm^{2}$ and fluid is moving at 9.0 m/s. Which one of the following choices best represents the difference in pressure between the lower section of the pipe and the upper section if the vertical distance between the centers of the pipe sections is 2.0 m ?

  09.35: A piece of an ideal fluid is marked lwmmn9fow 3+bk4; m 1zcr r*o9as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streamline is V. The cylindrical, horizontal pipe narrows so that the radius ofmo mfc l1morzb4;r39 wn *k9w+ the pipe in Region II is half of what it was in Region I. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tube that has a nanau;thw f +;s7rrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happened to the fluid’s speed and its associated pressure in the narroaw;sf+;nht7 u wer region as compared to the wider region?

  10.47: An open cylindrical cec6sy 0heny( wzw3c-* ontainer with very large radius is at rest a distance -6y hcn3z0eyc* w(wse H above the ground at the edge of a platform. A tiny hole develops at the bottom of the container and water from the container squirts out horizontally landing a distance H from the edge of the platform. For the
water to land at this location, what is the depth of the water L in the container? The figure is not drawn to scale and air resistance is ignored.

  11.27: The density of a solid cubic block i:5oqf7ak)iya ahr3gr l f6/(p s given as $ρ=0.750 g/cm^{3}$ . This block is dropped into a large swimming pool filled with water. When equilibrium is established and all motion stops, which choice best describes the location of the block? The block is very small in comparison to the pool.

  17.22: A large swimming pool is filled with a liquid havingam; 1:r-8cbj qf f.w*du(xo nm a density of $500kg/m^{3}$ . Aperson wants to see what happens if she jumps into the deep end of the pool (3.0 meters deep). Which one of the following choices correctly identifies what will happen to the person? Assume that the person does not try to move their arms or legs until discovering what happens after equilibrium is established.

  13.50: AU-tube is filled witnb sp 3zzv5jnko-vs+mja.v 2-lws46-h mercury (density $13.6g/cm^{3}$) as shown in the left-most figure. Water of mass 800 grams is added to the left-hand side of the tube. When equilibrium is re-established, the tube appears as shown in the right-most figure. The cross-sectional area of the left tube is$ 6.5 cm^{2}$ while the right tube has cross-sectional area $15.0 cm^{2}$. Which one of the following choices best represents the height above the original equilibrium that the mercury rises in the right tube? The drawings are not to scale.