94.17: A cork has weight mg and density 25% of water density.w: omd:d0k+ ma A string is tied around the cork and attached to the bottom of a water-filled container. As shown in the accompanying figure, the cork is tot:0:wm+ok dmadally immersed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the appar*) q(yi:cuv,rq:u e qsent mass of one cubic centimeter of pure gold qq*i y,eq s:u (r)u:cvis 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobberzv0zgnll.n77l ih51 n s all individually float on top of water. BobbersA and B have identical 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 displl7lhl7i nzzv5. g10nn ace the greatest volume of water?

  01.18: Which of the following is the b (9cyhv9sw, kp v /,1/zp/n+yba jxagrest statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be liftew00gkboh7wu pk h(3) sd with small appli(hgo h0 wb0wkp)3s7uk ed forces, is a consequence of which principle?

  06.30: A copper block is connect ;le4s l1:ajdia*4rr led to a string and submerged in a container of water. ;a i:rj dsr4e l1*lal4
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. I hq* +awnp2a5cf the atmospheric pressure is 2pa a q5h+*ncw$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 7u4/ --8qe qrkaql0, sucmn.ld5% of the object submerged in a cubical tank ck qal,us nqm8q0. r-uec/-4ldontaining $50.0 m^{3}$ 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 equal mass. The c(11b 86qhnxt1 .ygrs 1r anlogubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which objet1 n18yla(ghs .nxr q1gr6b1o ct experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. Thipiowokev -n4* ; 8m(,hmh z;aqs balloon then is released frao(m* pz8;v-q4, one;wkmi hhom rest two meters above the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two srqp p3h2e9em 5pherical balloons are expanded to have the same radius. Ballohr qep 5mep932on #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows hykml7z)lj2 +g*k2vuk:/ odg. jj8,h k0ybekthrough a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the ratio of the fluid's speed in the region of radius R to tz g,h)lvk7 ykj8 u h.2b*+mk 2 jdlejo0/yk:kghe speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing ic0afn: lzqai-itelo9;4 99r cross section as shown. In which section would the pressu-e rc;a 0qzai9fitlo994n l :ire of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal m97fm osoic9/q ass but densities 0.95D0 and D0, respective7iofq9o 9cms/ly. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attachmi-est; 4uz; yed to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the block is 5.0N. What is thu4 - mtie;yzs;e block’svolume?

  15.30: A spring scale rejert 0vid; cgv3.a f53;q0 kcrads 2.50N when a small solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end ofv .id3v0rf53 ea;krg; 0jccqt the spring is completely submerged in a container of water. Which one of the following choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and unifq 0 re.bzz ja96mrr0m8orm density floats in a container of water with amr90.q rzjb 6rme 80z60% 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 cylindripe(os3;a i a8dub;11ok 3lsgp*s iu4k cally-shaped pipe. At the lower end, the pipe’s cross- sectional area (3ku ep;is* ukoali84 o;p3d1ba sgs 1is $ 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 as it moves along a horizontan3ajs s w2.n9cx*p5d))f islol streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streamline is V. *ol)pdw 9as)njcfi.s2n5s3 x The cylindrical, horizontal pipe narrows so that the radius of 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 comp;8rz (u3y8;x,)i mcahgnqw mgletely fills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices besh;u,3rg8n yzm(8cgw;)q ax imt describes what has happened to the fluid’s speed and its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical con.82s(0z z5bu/u amdicn8m xvntainer with very large radius is at rest a distance 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/u0n8m5.s2cxa8bu zndzi m (v 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 b( g-jy0do :lzclock is 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/wco; lyz8c+l is filled with a liquid having 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 with6nw 2fjn) r0hg 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.