94.17: A cork has weight mg andb1c o9kpls)w3 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 terms of the cork weight mg, the tension in the string wcs91blpko3) is:

  01.20: When submerged underwater, the applsf/azios4 6pgu6e3 7s.b9gg arent mass of one cubic centimeter of pure gold is 18.3 grams. What would bes l4 i/p366sfuobe9zagg sg.7 its mass in air?

  04.29: Three fishing bobbers all inbdef x a)a; q5y-shb8)dividually 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 beneath the surface of the water, which bob;afhb )ba58x)dy seq -ber will displace the greatest volume of water?

  01.18: Which of the following is the be l5, mt*(oedgaj u0q(xxuo56t st statement of Pascal's Law?

  05.24: The hydraulic press, which allows-zc f8rb60,eu brssh3 large masses to be lifted with small applied forces, is a consequence of which princip3-subr,6szfhc b 8 er0le?

  06.30: A copper block hb u3bl33;a;tu6ly: nhjij bra7-h avm6of8* is connected to a string and submerged in a container of wau:mui7386b*lhah3 v n b; 3lhfoa- bjjaty;6 rter.
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 i5rryk 9y4f0ecaj w1ie6r1z 4 hs rf c1z0r hr k5wai4 4ejy1ey96$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats asf:tzem8:d7 r7ft x8z987su 0tz l yopt rest with 75% of the object submerged in a cubical tatyz 88r8moel df :s:pz797t7 fzx0tsunk 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 equal massjd 9/ to1 ro1gpnmq,1a. The cubes areplaced into the same large pool of water sr 1o1pqt/g9adj n1o, mo that each is completely 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 Xenon gas. This balloon thty1 r5uq+yus z,b0d8r en is released from rest two meters above the ground on Earth.5su 8b,ry10t u+qzd ry Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expansdw 1ce r oa ep.ugq7u,qg. +*c51md4zded to have the same radius. Balloon #1 is fecwera1gd 7s*1q+.udqu ,cg o. 54pzm illed 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 through a long horizontiei3 :p39wjpmal circular pipe. In one region of the pipe, it ha3pmji : ei9p3ws 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 thrt ;+9trgq 8swsough a pipe of changing cross section as shown. In which section would the pressure of the fluid be a mini;wq 8 +t9sstrgmum?

  07.35: Two objects labeled K and L have eq4zav f/1k+ 1wib.n a6eu4mlaqual mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown 6 +a/v znaae.m1qb 1uifkl4 w4into 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 attachedvjq1m4s 5jg( r to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the ea vj(g5 m1qjsr4rth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50u a0-xq7 (r+uzrihk h:N when a small solid mass hangs from it in air. The spring scale reads 1.58Nu-u+rq0h zirx(7ak:h 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 unm(pci-k 6zrm2pt,a+ iknown material and uniform density floats in a container of water with 60% of its volume s+m6(mi,ac pp irztk -2ubmerged. 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 throug6,hgeklubgc,ujn,l d g54liup6(.uj)x 0*r yh a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional area j4e j ,(gun0,cur5pl6,i*guxdlglu )hy .6 k bis $ 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 ma, leb4q/bzcb 5rked 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 z5,b e4bq/cbl 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 h8fqvz*) b 8ippx/mm s5c;o) gaorizontal 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 as comparqmm )vofbi;)cg8*/pz x8s a5p ed to the wider region?

  10.47: An open cylindrical container with very large radius is hh4- dot-. 7/bnqu fxxat 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 xxnt-7f hou4./-hdb qlanding 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 1caoed l. //fb7y.7hrx *jpmw 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 r+vagunep0 8g 12)yozpool 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 filled with mercury (densi;a ahn-t9zbifdsi(k8rwi u59 ; 5x sk*ty $13.6g/cm^{3}$) 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.