94.17: A cork has weight mg and density 25% of water density. A strisj61h-* ee qkey,6ih wng is tied around the cork and attached to the bottom of a water-filled c 6eehq1hi-es*6 kyw,jontainer. 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 ap(25 ;eh*jx/rys q td:t*rak9gqacw t t3/uk7f parent mass of one cubic centimeter of pure gold is 18.3 grams. What ytcts( aj*u9qh2t dq5fkt /r/a wrk;7*3: xe gwould be its mass in air?

  04.29: Three fishing bobbers all indivvqu0c(/mf;y zfu(jc6 idually float on top of water. BobbersA and B have identical masses and densities but different shapes while bobb0( f jc(;zuum q6fcv/yers 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 statement of Pasc yftrp +c vjax98n+h52al's Law?

  05.24: The hydraulic press, which allows large masses to be lifted wi x8t1 jwqhdz*+2xkti )th small applied forces, is a consequence of whicdiw+t xjh1 x)2kqt*z8h principle?

  06.30: A copper block is connecqw8br 1nc 7n7w u6d.tsted to a string and submerged in a container of water. c1wswq b6.8dt7 nn7ur
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 mczd 2k+ *iazj0 wide. If the atmospheric pressure is *k 2jzdic za+0 $1.0 × 10^{5}Pa$, 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 objq xa4rog+w3cq of5+qkuo v66 0ect su u6q4+oq5cwx +ao63o q gfkvr0bmerged 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 aluminu3q y+)c* 4pm 3azq,b wsdfw0zum have equal 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 experiences the greater buoyant force from the wata0 wm yc)qb,zz3 p3u4 s+w*fdqer?

  12.21: A child’s balloon is filled with pure Xenon gas. This bal p9-g6f5f*o; ild+gicd zz p4lefd7 3dloon then is released from* pg69eddl4iio fp ld3dc-;f7z+5g fz 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, tm:d5 xt*lnirgl218 u xwo spherical balloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of 2i l*m8ld urtx1:g 5xnthe following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circulax q.x 50(6)c abw iirs;zd8zcor pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the ratio of th0x;(isqc5 wd 8ixarz)z c.ob6e 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 piyt6i qbu j335knvt*-sc7 .gd ylkf2g8pe of changing cross section as shown. In which sectdgi6j57cg b 3yk uy.s8nktq3vl t*2-fion would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.950g *uybpz*osge/ 16hhtxzo .7D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is truebyup07h oz * /z.e1hsx g*6tog about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attached to the bottom of a laqblbicg2 n4(f9, 30z.ahaw k drge 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 the b2g3i lqa(hc4 9 .fdaw bz,b0knlock’svolume?

  15.30: A spring scale reads aw56joiu0l( f2.50N when a small solid mass hangs from it in air. The spring sc ilw6f ouj0a(5ale 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 of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats irq,5.ko vl + e ib2hwg6--cdlkn a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil with dens-+ -cl,k kvbg le 56dohir2q.wity$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ,5h,q7rjr r wcideally through a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional area irw7cr5 h, q,rjs $ 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 fluidg ki.m*1l/ yos 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 cylindrical, horizontal pipe nyi1m * ./sokglarrows 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 0rl/16nrulkq ;voe+u a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following ce; lrv ok0u +lu61rqn/hoices 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 cylinl 93y cfrzg1b7,, x6id b++xef7c vajidrical container 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 landix796z l va1xbbfi+,c,7cy jdfer i3+gng 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 cub7:m tbzdyk30m m ,q9ixtj3 5yvic 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 poor y./5kzjbg73 shtd *mz, r1wo8 jlid4igyv/1l 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 with m e cx4askm05 /gjmr;g7ercury (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.