94.17: A cork has weight mg and density 25% of water density. dqgma43p.:mo A string is tied around the cork and attached to the bottom of a water-filled container. As shown in :dpmg4 .qa3 omthe 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 apparent mass oc/ yyamtw k :c+xxae:h/86f6yf one cubic centimeter of pure goldca:6a x mcwyh t6fex8k/+:y /y is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bobbersp6),2ez9f v4kkk v9m:mb( t ievjcj0tA and B have identical masses and densities but different shapes while bvpjk ,vtk(mi4me 6ez09j:) fb2t9v kc obbers 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 Pascal's Law(ldpa su 7h j35lkbop50 f(zh5?

  05.24: The hydraulic press, which allows large masses to be lifted3:, hcyy(rc,*6gvu* jthts gp with small applied forces, is a conscy h hjrv6*3tp( t*g:,,guycsequence of which principle?

  06.30: A copper block is connected to a string and submerged in a cos) 4)lay,4z(c9o)q :tzgnm etmng9ex ntainer of wate4nn,m)cxtl to9)9 qems a(z:4ygegz)r.
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 atmoszh/a.lq 5lowsq 6q *:ipheric pressure is :i6qqo zl*s5 /lh.qwa $1.0 × 10^{5}Pa$, 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 object n+g m;; zf0ovjsn:: kpsubmerged in a cubical tank containin z: ;jpnk g;vo0f:+msng $50.0 m^{3}$ 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 etqconqs r n,4b1 v)y3/qual mass. The cubes areplaced into the same large pool of water so that each is completely submerge,b14os3yntv /)q r cnqd and resting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloona 4 iei lriu,lf,0:w6s0 7pfmn then is released from rest two meters above the ground on Earth. Which one of them0 4 afl,rni, esl07iifu:w 6p following choices best describes the response of the balloon?

  16.23: At a party, two spherical bai l x2bva)9ts(lloons are expanded to have the same radius. Balloon #1 )txsl2ia b9 (vis filled with helium gas while balloon #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 long horizontal circular pipe. Ilg1c6g f6rg m4n 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 in region wfgc46rg gl1 6mith radius 2R?

  04.24: A fluid is forced through a pipe of changing cross sq qif /;w6gnf)ection as shown. In which section would the pressure of the fluid be a mf 6n/qfi;gwq)inimum?

  07.35: Two objects labe,42sv7m+fm kim0ef dx 1*5iv6e pm ryeled K and L have equal mass but densities 0.95D0 and D0, respectively. Each idy4e*k6p i1sv+rxv m 0e e75f 2m,mfmof 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 +oth4,tc,b;i)a a/kr y hr ko1to a light string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the block is 5h 1b+,r iaao4ok, / tyr;kc)th.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs/8kk:u1xty5h hg2pyl, k(qrh from it in air. Th:ultghhqpyykr2 kx,/h 58(1ke 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 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 contadlx; nrs;z:0z iner of water with 60% of its volume submerged. If this same ;0l z:z;srxd ncube 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 the lo +q10vpd4ncbc52izu .jt (9j7uwp mtmwer end, the pipe’s m97 c u4 v.+pmcqji(12z0du5tpwjn tbcross- 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 moves6a7lug c e37j,j0 rdimdr7kg( 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. 6 7grc(elk7gdju i0majr, 7 3dThe 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 horizontal tube/u u/me)ez5vd) x o)ux that has 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 associate xdev/x omuz))u) /e5ud pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radiusbt l bk:f0z (n,4m5wqo 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 landing a distance H froq0,wb4ob m: nlkz(tf5m 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 block6 na/aqtn.tu(djg0 snf4-p c 5 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 poos,pay 1nhzzy19+cqzrqd f+ 30)3 zig ml 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 (yp6i;2e kb7 :hvy (dyvdensity $13.6g/cm^{3}$) 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.