94.17: A cork has weight mg and density 25% of water density. 1qw)d-pw :dnm 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 weiwdmd) q- :wp1nght mg, the tension in the string is:

  01.20: When submerged under.i6gqx7upp c 8water, the apparent mass of one cubic centimeter of pure goc7pgu 6q8 x.pild is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individual -ctutlod9 w9.6(vp.g s ylb4xly 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 c4v obut.6l9wcg9x ys(tdp -l.ompletely beneath the surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the followv7v6n5v)5d r tabxn a3ing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masl q)d(j hdctk4:0h wf:ses to be lifted with small applied forces, is a consequence of which pr jq:khtd4(c)l wh:df0 inciple?

  06.30: A copper block is connected to a string and submerged in a contzfbmf xzex- /vg-r6gs9z(n ) 6ainer of wate/rz6bsmx 6z)fn- x egf9 (-vgzr.
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 pressure hzcot(8 .04 oa4soekris ch4s ooro 4a (.zetk80 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rqr7/j p: ;rqha:zfxkxk/ ;fg-est with 75% of the object submerged in a cubical tank con/f:p :a; jf-qxkh rq;/x7rzkgtaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube o q80qqf2wvpnq80:r cqzma3g)f aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the0p)zgqqq wrq80 mvq 83f2:nca pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure n: v1ozc aa; sfid36n-Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Whivdc 1f:ainz- ;6aosn 3ch one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical ba-z,qdcfm5r c1myjbm -8g3n- dlloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #fr3, d-q d-mcjm18nz c-gbm5 y2 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 horizont.t va5m qze53oal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to m3 t q.v5oeaz5radius 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 show; n 1mv *pl8cg,tulz -hvl97ydn. In which section wouldvyc89d7lp,gnt zm -u1;l* lhv the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densij+.p2jfx0w uh ties 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant fo fj 0.uwxj2+phrces acting on these objects?

  08.16: A block is connected to a light strinw9vrsz 4rm6:u+zu15yruwe*u g attached to the bottom of a large container of water. The tension in the string is1v5z*mwur y u:s ez9ruu6 +4wr 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 small solid mass5t6+vzh soe(y 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 of the following choices best represents the density of the solidte 5zvho(s y6+ mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a containers4 oy,mwuio8 wy (56kt sa5k*f of water with 60% of its volume submergey m*iokw(5kso,aw 64s yt u5f8d. 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 cylindricall0 mty8od1 td0uy-shaped pipe. At the lower end, the pipe’s cross- sectiona to0md8ty1d0ul 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 :wlve 1 d3*qurx6r9rlmarked as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region I, th3 1lwrvq96 erldxu:r*e 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 ff/ue iwo*a4(z ills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which 4ufoezaw(*i/ one of the following choices best describes 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 is a *um9wazuxzr yu: /73rpk),tqt rest a distance H above the ground at the edge of a platr/z,paq9kr *yw ) utx7m u3:uzform. 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 0bbh . vifc c2sekm/ 4)i9 b:yqy8jvr/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 swimming pool is filled with a liquid having ;rtnxhp6j 8ebx ; oqpj3+gpw3i.6v0n 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 (den:-.it b sri1kkh2:lc:o+ hoqusity $13.6g/cm^{3}$) 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.