94.17: A cork has weight mg and density 25% of water density. Ag*; aq ,p9l *jp2mtqjgbepv 3)q5ek *p string is tied around the cork and attached to the bottom of a waqj5 q*b*p* ep;q3, t ve9mpplga2 k)jgter-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 apparen 9fln7iw nji8voz/-d*/ s x7oit mass of one cubic centimeter of pure gold is 18.3siz7xnfw i/ d voi9lo/8 n*-j7 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of watebbs1f mwteq8,zod,rm (v g3 0n)(+aobr. 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 bobbeg1(,fd(+)8e mo ,m oz3rwa0tbbsvqnb rs 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 foll gdbp,a74ygj ,ueca b,c.w5t 6owing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows l2sf q m/eh 0,lf/2fwxj :jmb*q*v kj0oarge masses to be lifted with small applied forces, is a consequence of whichlfq/ qmvw2 k,j:/j*xbf200mj eo *sfh principle?

  06.30: A copper block is connected to a string and1p n,, ii1xh,vrs+1e /g+jxi6dk dqvd submerged in a container of watekjv +/ ,d ghp 1rqxs,dii16ed+1n,xi vr.
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 pressurefhq 8h5oj v81:pa)/zc6blkv a is v6 ck5/v8jhba):paqh8lof 1z $1.0 × 10^{5}Pa$, 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 obed*gx4+la bhs 99mtv3ject submerged in a cv+g9 3lm9bdtas*4hx eubical 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 e-fpyx bov fmjj8+g.1j-k, b;u qual mass. The cubes areplaced into the same large pool of water so that each is completely submerged and res kmf fjby-u+1-;b.xjjop,gv8 ting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled bdw08q7 d x4erwith pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the followinqdxb8e 04rwd 7g choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radius.j(g)yj 3ui 6c6:btxh;ve xek78 s8xqv gqon6 3 Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyan(6ux3 c6v6xg)x se83v8yniejgokb:;q h 7qjt t forces on the balloons is correct?

  03.36: An ideal fluid aiili+7k ++c0k cix:u ls)l d2flows through a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What iiic+ +)k2+l sk daucill i70x:s 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. In w8zrv ij262iytlzf r3* hich section rfivz6li2 *jr82 3 zytwould the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equy(t v+ caetp*0al mass but densities 0.95D0 and D0, respectively. Each of thesea0cett* (yv+p 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 string attached to the bot8hs;z8k )mgkvci wk(: bp;qs:tom 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 5.0N. What is the block’svolume?;g hsci q (w;vk8m::s8pk) kzb

  15.30: A spring sca6o5/rwee8v1tf8kfnv86 cqe/ jdd c+ fle reads 2.50N when a small solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the qecv6r8v dn 6oftfee5d/j fkw8 c+/1 8end 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 unkno:o/qhtv mr6u4 wn material and uniform density floats in a container of water with tov:6 qmu/4r h60% 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 cylinyy 1.mebm:d6,fb x)xqdrically-shaped pipe. At the lower end, the pipe’s cross- sec 6mbby:qf1xxy ) .,dmetional 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 b 9zalmxk jb2+60wj3.,cehu o ideal 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 th2 cw60m.+hux9zeljj b ,a 3obke 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 fills a small hork6++xw q*q1d crrfuo3izontal tube 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 associated pressure in the narrower region *fwu cdr3x1q+o k+ rq6as compared to the wider region?

  10.47: An open cylindrical cowfa5 5d z,goypd .u(+vntainer with very large radius is at rest a distance Hf adyvzog(5+5pwd, .u 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 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 blocz, f+99eiow. sw-ozk, r/hqtck 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 i3 - 5b3y1pttidi mll4ys 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 (densd6ioc *axoa j ,;l6n1s08k o3p mpm3vmity $13.6g/cm^{3}$) 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.