94.17: A cork has weight *vu+olnknh9 ) mg and density 25% of water density. A string is tied around the cork and ol*v)+ k 9hnunattached 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 apparen3z tun/cq r9tbo0- n)vt mass of one cubic centimeter of pure gold is 18.3 grams. What would be its mass qn ntotcz-b90 /v)u 3rin air?

  04.29: Three fishing bobbers all individuallil-sj+m8o qr p6q2ow, y 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. If three identical weights are then tied to the bobbers an wo6sr+jl8 -mp,2oqqid 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 -omk(4d+egecso52po /sh-sc of Pascal's Law?

  05.24: The hydraulic press, which allows +da h7gllf4 88x6p qdllarge masses to be lifted with small applied forces, is a consequence of which pr6f 4q88lh7plxgdla+dinciple?

  06.30: A copper block is connected to a string and subj l-fsb5h ,(qzef+xuv9g c41tmerged in a container of water. l(usx 9 cf v1eftzhgbj-5,4+ q
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 pressure is t-9sre7*zn 5gi-n( h+ppg qli5 7leri 9g-i-* sqznp+n(pt gh $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% or i x6mj(m1 etc8:u/jjf the object submerged 6m:m c tjixjr (j1/ue8in 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 ofgq,pf3 k +u plkk+je80 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 buoyantkfpq0+e+jk8,kg p u3 l force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. Thi779w2k.b, vcik xm by 7zt9durs balloon then is released from rest two meters above the ground on t7k y7bvidbmxuz.w2 9 , kr97cEarth. 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 the sf;8 5ao f.r nm)kxmiilnr/e*,ame 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 ,a n ; n8*fl/r5emrxmiko.)fi forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In ) u,whl5 hoqe):yp0qgone 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 theqhe: ,u)wq)0 5ph lyog fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe m z t/+ad;:1)/;f p cpwsselamof changing cross section as shown. In which secti;a sd1ezs)w:/tm pmfc/ap+ l; on would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.9k 1*g( fj bm.mra/yh(5uxvv.w5D0 and D0, respectively. Each of thesek.wr.jvf( 5 vaxg/hbm um1y(* 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 light stvj, c2biea/nzbd+s2 )5;k f yjring attached to the bottom of a large container of water. The tension in the string is 3.0 i;jb yka2 z,s d)n2/fjev+b5cN. 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 yx )kcjukn hmyfo(k6;*+0rs4 a small solid mass hangs from it in air. The ko0s rckyfmh*jk)6 xuy4;+ (nspring 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 of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknowno-9piadk:m z 9ktwu/sq q- +*z material and uniform density floats in a container of wd:9wtm+sko *9 -kzquz i-q/pa ater with 60% of its volume submerged. 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 throu.xb8a:0pq g.( z 0shg ejw(gopgh a cylindrically-shaped pipe. At the lower end, t..s (e a8xp:ohw(g q 0gp0jbzghe 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 it moves along awemfyu2d/eqa; n98. c 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 Region II is half of what it was in Region I. What is the speed of the marked fluid when it is in Region I ea./qynfdu;8wcem 92I?

  13.25: An ideal fluid completely fills a small horizontal tube that ha;falw;)n5s -eh zg e(my/zf6 ys a narrowing 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 press ;f6sl;( 5emz)yhgz -yena f/wure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is at rest a dis1vbc(x/2 l8 ydwkod) upj -,nztance 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 squirtd1-d)xlz,28v/bwun(pk yjoc s 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 block is giveniphsw g;98m 9g 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 pony3a bn2s :zj h,ok6u9 v7yy6uol 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 (densyu 4ez+v2 or)bse 7yer8em5 *sity $13.6g/cm^{3}$) 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.