94.17: A cork has weight mg and density 25% o invea:lmj ,) 4lh f0v64t3ydof 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 totally immersed in the water. Expressed in terms of the cork weight mg, thejenit4)a3mf l :,ld y64oh v0v tension in the string is:

  01.20: When submerged underwat skv1f05ru 9)*emhwo der, the apparent mass of one cubic centimeter of puo)f*95 hwskm0 devr 1ure gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all indivnoa3t:x o1tdmf21j v3 idually 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. Iftm2jodtn v31o3 1af:x 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 Pascalzck+g5l9hbxt 3,(b 8b 6qkt sd's Law?

  05.24: The hydraulic press, which newv-e8j5h, -l axwq(kc bxz*e8s- 8kallows large masses to be lifted with small applied forces, is a consequence of which prieq*jnw,88k8-cw lz (-s keh -exv b5xanciple?

  06.30: A copper block is connect4mi-of0d ) mqled to a string and submerged in a container of water)4 qdoflm-i m0.
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 pressjx jb4/gk/.bvure is bx bk4.v/jj/ g $1.0 × 10^{5}Pa$, 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 oyyg*mgb)9 z3+ifb*l lbject submerged in a cubical tank cgi* 3l) 9 gyb*zbmlyf+ontaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron awgf:q2*-p fxcs tw+0w nd a solid cube of aluminum 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 wawt+- q2w:scgx*fpfw 0ter?

  12.21: A child’s balloon is filled with puredc/(gt:0 )twpi kd:*4psgw3/ haj a he Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the followi:w 0sw4hhaktg( j a/e ct:3* /pipgd)dng choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to 3ej xl0a+3qf;lrs 1ap s s05izho**os have the same radius. Balloon #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 bh*z*sq1 xsis a +or0asof 53p3llj;e0alloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipfmh8h7kq bum: e0 i.i-e. In one region of the ie:mu hi0kh.f mq-b7 8pipe, 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 in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing crou- 31fexgxb 7o//dbyzss section as shown. In which section would the pressure of the fluid be a 3o1xb/ge 7 bd-zx/f uyminimum?

  07.35: Two objects labeled x c0ci.vtv sk8j)q0stqy551 m K and 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 akj5)y si xc1c tqsv .50m0qtv8bout the buoyant forces acting on these objects?

  08.16: A block is connected to a light string at6msymhyr.u)bh ji9n+7 -w2/t: wfnp ttached to the bottom of a large container of water. The tension u swt .69 njt7+hm-2ymnp wf/r)ybi :hin 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 gyb aii./ x;)mm9x6bb 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. bmab6 mxi g .9)b/xyi;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 in a contaui+3siqp7q 0 h g-ocn-iner of water with 60% of its volume submerged. Icn q3 u-7i0g oqi-+phsf 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 cylindrically2sua0o xjsn5 )-shaped pipe. At the lower end, th)jsu an5sx20o e pipe’s cross- sectional 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 dpr3hi +wi byj jt8ge7o247xy0 krq* 2it 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 narrows so that the radius of the pipe in Regi 8yjdg7+ke xpyjt 2oiqw*4ib2r7h0 r3on 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 horizontal tube that has a nas3t ta0h bu(/yrrowing 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?atuyt30b(/h s

  10.47: An open cylindrical container with very large radius is at rest av.ci uwxja)e 6( 51kzk distance H above the ground atx1wu v(k.e 5i6z ca)kj 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 cub/g6)ao 0jo j7::pt v/vnt sjieic 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 liqu n7)j svf5jro:pwcy qvi81)e72o. kvhid 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 mercv,)o6yyi6 cl huvm1 8lury (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.