94.17: A cork has weight mg and density 25% of water density. A string is tied ayxe5vww8- ys 4rouw8es- x5vw y4ynd 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, the tension in the string is:

  01.20: When submerged underwater, typo- ft; n,a/dhe apparent mass of one cubic centimeter of pure gold is 18.3 grams. What wt naod/;,ypf -ould be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bobbehrfvkano t am,9 ):)ih.b-p1prsA 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 a )ovmh:p. 1anaph-fbrt)9 k,i re 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 Pascal's Lyjfeou).- v . kok/3.fmtj .kbaw?

  05.24: The hydraulic press, which allows large masses to be liamy8k*j n37mc(jct0 :43.p e g miakpjfted with small applied forces, is a con t3k:ampj0 47gca im8cyem.*3 (jpjknsequence of which principle?

  06.30: A copper block is connected t b) b+ ja(mgz;pbra*f*o a string and submerged in a container of water. *)abrz(bjp*+ bag;mf
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.aj0 rnqo 2ax::p /gr3l If the atmospheric pressure is g o/r: pjaaxr:n2q03 l $1.0 × 10^{5}Pa$, 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 objwg3ow l:b2c g1ect submerged in a cubical tank containi:b wgwgc23ol1 ng $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of alue4:loz hsqa:o4a 7 ;wjminum 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 objeljwosoq 4ae4:a h7 ;:zct experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pu ;iy kys+w.65ko3u4t u/imq wgre Xenon gas. This balloon then is releasewko mtwui.u/k5 ;g46qi+y s3 yd from 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 spherical balloons are expanded to have tokcgy x e76y4+he same radius. Balloon #1 is filled with helium gas while b+7geox yk y4c6alloon #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 through a d g n9q8eg2r-tlong 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 the speed of the fluid ing drg8eq9- n2t region with radius 2R?

  04.24: A fluid is forced t td tn(.ky t1 dprg)7w*5hbkm3hrough a pipe of changing cross section as shown. In which section would the pressure of the fluid be a gb*tp.nd15ym(3 k whdkt7t )rminimum?

  07.35: Two objects labeled K and L have equal mass but 3bq5qykl 6coil. -/* wkwn:l2ni iq*odensities 0.95D0 and D0, roy */n lcql:ob352w -*6qiqlkwk.ii nespectively. 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 yjw7ib )bzd+6yca3 p/light string attached to the bottom of a large container of water. jdbyy/7bwic)6zpa3+ The tension 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 solid mass hangs from it in air. jzgyy;.y2e-jo-whyv )c qz-ff ;6l9s The spring scale reads 1.58N wheowyz-ef ;jv hyqz)69c y.l;g yj2s--fn 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 materia cw5 5mi)ythv3l and uniform density floats in a container of water with 60% of its volume submergmc 5i) v3hty5wed. 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. At th7/ n7fa )f:n7fdehopue lower end, the pipe’s cross- sectional area is u ) f na7fd7o7hn:fp/e$ 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 u z:do8 kslk;)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 soo u d:8zl)k;ks 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 hovz e2t +x( s.d9mls+fyrizontal tube that has a narrow.dl92 +(e tfszv +sxmying 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 narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is at rest a die.e4bfie1wfven :dq1eu -q30 stance H abovvf i 1en3fed0e ue: q.4w-1qbee 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 bl1 q4 mpz nbte4.ts*;jgock 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 poolgyx(z8:s5hqrk , :xw u 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 mercury ( un9:qa,-k qww8dg:ocdensity $13.6g/cm^{3}$) 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.