94.17: A cork has weight mg and density 25% of wae9n3g ;0ddxo oter density. A string is tied around the codx9 e;gd3oon0rk 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, the tension in the string is:

  01.20: When submerged underwater, the apparenbj-6xvz /t 2 ydm*fk22 ih3ubat mass of one cubic centimeter of pure gold is 18.3 grams. What would be h2 i/-a2fj 2*dvmyktbb3z 6ux its mass in air?

  04.29: Three fishing bob);ov8: 11 sw xbltzltzbers all individually float on top of water. BobbersA and B have identical masses and densi ) vllt;oxw1:zb1s8zt ties 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 ftym47 ,+p-plei+ n ; 7idtyvsis the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with small a:rwms: * hs pgu3sq(h,pplied forces, is a consequence of which princ ss: hhwqu3p:rg,* sm(iple?

  06.30: A copper block is connected to a string and subd6tj2l-oz jdb1cq f2+g 6u g4jmerged in a container of water. 12zd66jcdo j4gt- j q+lbfgu2
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 5.9if1mw jpil 6k b:rj382 qui4q0 m wide. If the atmospheric pressure is mq jr1wi jqu83ib96lfi2k:p 4 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% of the occtka4cjvqjy7zpt0zj2 -)my /s ( 3n*bject s7 njzt jtmakc(4v 0pcs-) jyc3 2q*/zyubmerged in a 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 solid cube of aluminum have equal mass.kfy+ g/ umfbx xi3() k8n)+qtq The cubes areplaced into the same large pool of water so that each is completely submerged andit8xqx q +bmg+/) )k(nyf3kfu resting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon j1zg9 fiuh) )( ojpir.is filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response of the balz fo9). p)(u 1jjgriihloon?

  16.23: At a party, two sow;zd b-x4)jocq9 3zgpherical balloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is ficjqo- xo z34z) 9bdg;wlled 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 heu4 :h9cj 3p/z9yvejoorizontal 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 radiuse9y4hju: j9e3opv/ cz R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe j m (pk/4(sza pshmr7)of changing cross section as shown. In which section would the pressure of the fluid be a minp/(7ks4rpajms )zm( himum?

  07.35: Two objects labeled K and exc.om)h .ki *L have equal mass but 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 acting on these e*xh. )k .micoobjects?

  08.16: A block is connected to a light string attached to the bottom of a lar--w rflrpz5g+7uuak / ge container of water. The tension in tawr 5luf-zru-+pg/7k he 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 w: co58lc*qz-d hvr5:o ldvf y;hen a small solid 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 be;hz:5f: rloo5yvv 8 cdq-ld*cst represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown materialt )r11pk-dm3arulj p 5 and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a cont1alrr1 m5dupk-j 3)tpainer 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 cylindrii,xc 79;f r)y,s6kh iedqet 1gcally-shaped pipe. At the lower end, the pipe’s cross- sectional, 9rk6 ;)ete,7y hcgxidiqf 1s 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 as it moves along a horizontal ( ,h*f*dhly uhrc6tg;streamline through a pipe, as shown in the figure. In Reg *u6dyfh thrhg,lc*(;ion I, the speed of the fluid on the streamline is V. 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 completely fills a small horizojcd2c. tb)yu7kr h--b z55+hsssa gf ;ntal tube that has a narrowing cross-sectional area as 2 kcgu)zb; t5c-sf-.jdshysh7 r 5a+bseen 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 narrower region as compared to the wider region?

  10.47: An open cylindrical container with very lna,cs*r xh6z cktz8) 3arge 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 t)c shrx8ka 36 cnzz,t*he 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 soli )p c *;z7tshe+ w 3;xucrcfgpn9(d2ywd cubic block 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 is filled with a liquid havingfx*( /f3 iw3f7:uidoe hsrkm, 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 mercuryp(7-u;/pu grw -e46 my,fk*mf xmt ixu (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.