94.17: A cork has weight mg and(dm:1j+eefx g ezkgr2ly1- 5k 5*cgrz density 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 terlkre: x- gyrc1 e 1+2k5(gz*5fed mjzgms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent m 10 cb1/ezoe/- ; j*rkoexqf: 2epuigrass of one cubic centimeter of pure - 0e* op1ic geok1rz:e2//j xbq;uref gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. t2s g ne 9lg8hla/u+0bBobbersA 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 are pulled completely beneath the surfat9lbu/sh an +2e 8gl0gce of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best k;hw3;;w g s ajks+ gzyt js(6sec3s7.statement of Pascal's Law?

  05.24: The hydraulic press, which ally(6;i(lmu3lsgu r kt6ows large masses to be lifted with small applied forces, is a consequence of which princiru36i(ul t (g6kl sm;yple?

  06.30: A copper block is connected to a string and sub x5k5 l(wlbr*pmerged in a container of wkx5lb5l r w(p*ater.
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 press(*gl 4dd uqnvq*kuw26ure is *d6 g(wuqv 2*n4dq klu $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rrd18mus)k2z a est with 75% of the object submerged in a cubical tank cu )8 zm21sdrakontaining $50.0 m^{3}$ 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 equal mass. Th2yd 6 mwki42hja. 2etqe cubes areplaced into the same large pool of water so that each is completely submerged and resting on the po2aj iq2 2hy.de4km tw6ol’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. Thexa:w3v -.myw b,d pds 6.yyx-is balloon then is released from restxwb.- mp:d6y3,xsey vdya .w- 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 the same radlw0ozlyh 5mwl;4s p7 w13,of6tfhce ;ius. Balloon #1 is filled with helium gas while bal l; ,o f3y4pseml; lto5w w7hf1wz6hc0loon #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.v 6dx,w8d 2ndwl .l*zxj:0ewgbtf .b through a long 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 fluidb.w .egtj:dl6l*vbfwxn0 ,w2zdx.8d '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 throui ffnvn *;mr 26yrg2)egh a pipe of changing cross section as shown. In which section would e)rrfg2im 2yv;f6 *nn the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but dc1afq jgdg(( 9ensities 0.95D0 and D0, respectively. Each of these objects floaq (jgg9c1d( fats 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 li x/g:fel:d9 nyght string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force fronx9f:delg :y/m the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small; 0isuic ;j 0lo.x0qqt solid 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. Which one ofo 0;iqicql. j00sxut; 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 container s-djbp46+ 5kllgujzu)q+ j)n of water 6)qj+z)lnglduuj5jp +b s- k4with 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 through a cylindricanu1i zh2gs(v 7lly-shaped pipe. At the lower end, the pipe’s cross- secti (1sug nvhz27ional 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 flui b1lg6:r 1ikvsd is marked as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region I, tsk1v1rli gb6 :he 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 II?

  13.25: An ideal fluid completely fillndw*1eo4 +wbu - sz/bis a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best descr/-s w4uownbbed z1i* +ibes 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 isljtk 0*-owsm0wcggp .)z/o 3c at rest a distance H above the ground at the edge of a platform. o.cwg/ jm03tzo w l 0sc)*-gpkA 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 ) cr,czsu4v tu4wl8c6 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 liquid havingc vh- mn5*h 3eyhkw+ qxx.6sta;n q;v l+-kl.y 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 fillzsj/3a z/ys6vz,f8g;f0 rk ln ed with mercury (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.