94.17: A cork has weight mg and density 2c :4 wkkk.cq i.g3r6cz9fzw7l5% 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 wecg z.kf qz7k3w .irckl64 :c9wight mg, the tension in the string is:

  01.20: When submerged underwatersq;vhzlx -(a9hmzcyn n r xj3,/0 30uh, the apparent mass of one cubic centimeter of purs xx9h,/ nrlj uzzmnhhv3 0a(3y-;q0 ce gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers alld0r;otoe;j / k individually 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 and all three are pulled completely ;tr0 kdejo/ ;obeneath the surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statemec:r,0ch ac5rf 0;gvgj nt of Pascal's Law?

  05.24: The hydraulic press, wmkztso(z6( f,hich allows large masses to be lifted with small applied forces, is a consequence of which pz6(m,o tfks( zrinciple?

  06.30: A copper blockwlyt1lj wvet: 7s3tb ww.7),h is connected to a string and submerged in a container of w l tyb37l w7.swv,hwtj1 t):weater.
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 i 0r7w) o ,,ik ik.rpgv1o8i -mdt,fkband 5.0 m wide. If the atmospheric pressure is .b of0div1-,mgkirt87 or wk, kip)i, $1.0 × 10^{5}Pa$, 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 4509n8o dz mdxkb.dipsubmerged in a cubical tank containin4b .xp8z5d dknoi0 m9dg $50.0 m^{3}$ 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 equala5hu1+6 u usqqb; 4qng mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pn b46 ahq qq+5s;ug1uuool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xen;.ry m 6yct)pnon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response of the balloon?r n;y .)ptymc6

  16.23: At a party, twoi x27bn ik:a6v spherical balloons are expanded to have the same radius. Ballobx7i6 vak:i2n on #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 balloons is correct?

  03.36: An ideal fluid flows tx;7hov;auz( bo* nc*d hrough 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 fluid's speed iu(oh; dbcx naz;v** o7n the region of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forc-9mc51d;97ckypnz qh ux nx u2ed through a pipe of changing cross section as shown. In which section would the pressure of the fluid be a miniz;yupcnn 5xq -cxkmu179d 2h9mum?

  07.35: Two objects labeled K ai vlt )gv7l7):*veo-z ns l8wmnd L have equal mass but densities 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 ob 7lszvvlv*)m-8ogwi7 :e l)nt jects?

  08.16: A block is conne4yh..:cr /bubwhbk mp g+ 1i/wcted to a light string attached to the bottom of a large container of wrk1.b piw+ ghw by:ubc .m4//hater. 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?

  15.30: A spring scale reads 2.50N when a smallwd eu:a/bf)o g,pkn ,mf *f*,lb 4j-g ngn/(tg solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is complgl oufp ,( t*bfegdnmkw 4n ,b): agj/-,*/fgnetely 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 conn4xhv o :wi8cdp29c8 ftainer of water with 60% of its volume submerged. If this same cube were placed w9c2f84icdh:v8nxpo 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 cu)qhe;f+ndk0y9dp;rc pr 23z:sz. duylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional3n 0 dp .r usdu;)z9zp e2kqry:hf+dc; 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 max u nhpn++::bkrked as it moves along a horizontal streamline:+k nxu n+pbh: 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 II?

  13.25: An ideal fluid completely fills a small horizontal tube that hasx1:a.r)4 4k b; ux krs(tborid a narrowing cross-sectional area as seen in the figure. Which one of the following choices best des irdk4s) a or:4x.k1;xutr (bbcribes 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 *n.hw)5exe )gm) c ez8sukfo/large radius 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 e hefu)smc).ek o)*nx8 /zg 5wa 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 wqj4e bj0q)n rjv2yirxg)zr/1d4 e67 a solid cubic 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 swimmi(519d yb:vtx m;vqp7+zv5sxmy7 vo qn ng pool 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 filx7frf)u azp/5 led 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.