94.17: A cork has weight mg and hxdu +(g mu5z8)3wskxdensity 25% of 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 weigkx(h sz x85u+)g3uwdmht mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic cen;:0yyvj,mguh6m ust ,x9en y)timeter of pure gold is 18.3 grams. What would be its ny:g; 6s9 ,yvtju euh,y0mmx)mass in air?

  04.29: Three fishing bobbers all individually float on top of w2gcu8 r;no(nyi4p z:iater. BobbersA and B have 4r: oinc2;ni p(yzgu8 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 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 saikips. 4k4/ ourw dhko7: hi9t *(c:statement of Pascal's Law?

  05.24: The hydraulic press, which l4uu:q gr5 y95 )zu0z7tkd mecallows large masses to be lifted with small applied forces, is a conycu e) z5 drt5mz 4k97:ul0qgusequence of which principle?

  06.30: A copper block is connected to a string and submerg3uf5mvfm--j 7 a/ixwoed in a container of wate-mxmj3iw fu/ fa57o-v 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 atmo9a .(dutimucd/ un2s/spheric pressure is mt dais9cnu/u .( 2ud/$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kgviw z*/cfjuq ;8boh /( object floats at rest with 75% of the object submerged j*qvbc i/ /8fz;(wuhoin 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 aluminum have eqq3 -oay/fktf 6ual mass. The cubes areplaced into the same large pool of water so that each is comple 36kayf o/tfq-tely submerged 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 Xeno(z39hc blj8 bouhyr5 iy.v 84qn gas. This balloon then is released from rest two meters above the groubu9h bo 45yicry.qv 3 h8l8jz(nd 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-x7wsj7 w2 , nw8xymaz 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 balj7n2smwza w8xy w7, x-loons is correct?

  03.36: An ideal fluid flows thr:r9 vd )(7nrgmy hd.0xbx0 efoough a long horizontal circular pipe. In one region of the pipe, ) rvd9.: 0 07d(ofbhmxnyexgrit 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 cross section as shown. q j(z i wtwyqp.cs-)j8:yilt5:c*u9i In which section wouc(z q8 l wwt :qj:tsip)j.yyu *9i5c-ild the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but dens1s7q+ 4p nue5(xczg npities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objectqg z1xs4+ep n5u(c7nps?

  08.16: A block is connected to a light string attac aruzm+p-y*wh c3xid +; -xl;uhed to the bottom of a large container of water. Thex*udu+ c -z3-w;airphm;l x +y 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:. 4vf6q sk2u;wyvhocqro j4:.50N when a small solid mass hangs from it in air. The spring sq6 rv4j 2:vuoo4:wfcq . ;yhskcale 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 y/70 fub-ym*f xnnvj,material and uniform density floats in a container of water with 60% of its vyynbj/ 07 u*fv- ,mfnxolume 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 through a cylindrically-shap0wunk8(x i knwq1*gg +ac/tg,ed pipe. At the lower end, the pipe’s crossiawtn*gk g(,/ gk0c w8q+xun1- 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 idead wihif0 b2f(:l fluid 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 narrows so that the dh2i ib wff(:0radius 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 that has a narrowa5cc f6f xj fj-*dz7e)uz l7m7ing 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 compa7z7fu-jj 6)ed57xz cma*cfl f red to the wider region?

  10.47: An open cylindrical container with very large radius is /l7n,yauf0f.,pmt / q3uzctig3a. uy at rest a distance H above the ground at the edge of a platform. A tiny hole develops at the botto.ngyfi,qm/u37ay0 uplc z ft./,3 ta um 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 block is :qk ;g:d-xfo.:m posv bd pe1-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 iss 9a4.7 ylhcuh4 3zmt( e5oebf 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 merq:cy t3yj,j/ue vgzfkm2 rhj(.oc (v.97nen 3cury (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.