94.17: A cork has weight mg and density 25%c1w u/n yyah poo-5/u7 of water density. 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-pc 7y/1u aho 5/ywnuo totally immersed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cub 6 upq,zwj iwp3m:h:n1ic centimeter of pure gold is 18.3 ghp wmw3j zn:up6 ,qi:1rams. What would be its mass in air?

  04.29: Three fishing bobbers all in.-(uu) :;fffrgm/zem8zonhj dividually float on top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical sizes ane. 8hfj: umr )f -/zon(z;mgufd 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 k brykd;0w m)48ah +f;k*,x6a huatzjfollowing is the best statement of Pascal's Law?

  05.24: The hydraulicb ke;cue1xb/gepl972 ):*b6 ultngit press, which allows large masses to be lifted with small applied forces, is a consequence of which prin2excb :ueg6ktentip*l1u7 ;9b)l/ gb ciple?

  06.30: A copper block mza59 m7u4 vo4 i.g((xlksbpnis connected to a string and submerged in a container of water.9 p zbo 4n(svmiul.mg a(754kx
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 pressu)vvgliw7 qa7 h(o2bo4ua wc, (re is ha c77lg42 ,(vo)ib( waovwq u $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% o 34ggu/em, dkfsg4: hkf the object submerged in ah em g/g ,u4k3gk:d4fs cubical 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 s rb8z d/y9mqq2i w;kn7olid cube of aluminum have equal mass. The cubes a9 yq/ zb82mi 7;rndwqkreplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenoi1ki+4fmsa9 x * jo/ttn gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the resp k/*j 4a stm+1oifi9txonse of the balloon?

  16.23: At a party, two snjmz1 57 j0sttuqx8b4 pherical balloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is fintqs5mzt1 4uj 7x0 bj8lled with xenon gas. 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 circulard5u i -o+t .n(nz pbw/.v2wg8gokyy :f 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 ( 5ko:2znwyg.n+ w.vgydfib-p8ut/ othe speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changiw/.f6 w gz4vhx kbqn:2ynp,;+ dlew 5zng cross section as shown. In which section would thkdlnn6 .gp w +;f,hxe:w4q/wz 2z5 yvbe pressure of the fluid be a minimum?

  07.35: Two objects labeled K -zdir46jd vod. )0gp qand L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being th rodz6 qj)4pddgiv-0.rown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a li5.8oj zth)txf: ful apsm 91o2ght string attached to the bottom of a large container of water. The tjf)pt 89hz2faoo:u s ltm51.xension in the string is 3.0 N. The gravitational force 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 skczuv+t.4+ss30 n ibd -q- nynolid mass 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 following choices best represents the density of4 n3+scd+n ytvsb--k0nquz.i the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown mat ejl,zscvh g hd18h l4*i+ 8nodkca5t:a7ia(7erial and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were padt5i 8 n lh8h c v4*,hi:71lajc(e+gk7sdza olaced 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 idet.rj/o0p r3h4qe m d 0cf8+thhally through a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional area i0c+hqd.rfr/ 3 hpj h84 0meotts $ 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 fcx b/y n fsqu8e/4g02eluid is marked as 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 cylindr 0eybu//xf4gq n28ce sical, 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 completely fills a small horizonto4-*za ifv e0pal tube that has a narrowing cross-sectional area as seen in the figure. Which if az- 4o0vpe*one of the following choices best 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 container wi:qzc/ndlvg/ lo( rxi xk2q*8 1th 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 horizontallycv/o r8i/ z k :ld12(*xqxlqng 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 is-1wjr2 ui1i th 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 liq zntx (qu:0qj q8kbtq54wwc9 ev7v)- juid 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 with mercury (densitysx q+78,am3*/u 4c t pexdjkn*(vjdej $13.6g/cm^{3}$) 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.