94.17: A cork has weight mg and density 25% of water density. A string is tieds,z w7(bwoiu)l )fjjvde;5/ l 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 st jzb/olfwviu5w ) jl(ed),7s; ring is:

  01.20: When submerged underwater, the apparent mzk7- y e:hk8zjb1ntn.ass of one cubic centimeter of pure gold is 18.3 grams. What would be its m- 1k7nz.b z8:ethykn jass in air?

  04.29: Three fishing yc;;r:*hrq;k5* qnzufnl m6b bobbers all individually float on top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical sizescz; ;runqbyr*lq 5k6m: n*f;h 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 bobber will displace the greatest volume of water?

  01.18: Which of the follor 4 gwin(44zw jw4+yzywing is the best statement of Pascal's Law?

  05.24: The hydraulic prvbbn5q.o d036xv.i c eess, which allows large masses to be lifted with small applied 3 enxbq5oc v .bi0v6.dforces, is a consequence of which principle?

  06.30: A copper block is connected to g0mz ;j630l/3huowwdwmslq5a string and submerged in a container of wlw6mo3j u 50w3lg dq/m;0zhswater.
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 wwc0zb/ yz45)vpe wsbvx ), 6cis zv, 0ve6c w/)yzxw)b b wp4s5c $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10. )mbk:ky, q8 b+nwqawes -p4f20 kg object floats at rest with 75% of the object submerged in a f pn,k 4:eywmw2bqb-8qa+k s)cubical 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 aluminl9psdeedm 1cd;1t 8. . tyrwt1*p3zxrum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submergede r8yddp1.ctsm19pl dr *z .1xt3wet ; 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 ballyt,s f4a a,rp8oon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response ,a8s4atf y ,prof the balloon?

  16.23: At a party, two spherical balloons are expanded to have the ssj3+u agm cjxqy k; tj566-2hosvfx 3/ame radius. Balloon #1 is filledq6jf 6o53/+kgxvymx u-3a2ssh c j;jt 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 fluidr) uec3z(shp8jtj cvh9p79 - rss71nd flows through a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widsep zvh 9rj)dts78-j3 sp7chrn 9cu1(ens 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 thg. sgj88lz6j3 (ld axarough a pipe of changing cross section as shown. In which section would the pressure of6jdgalx3a sl(z j.8g8 the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass h* c1bzd)c .tpbut densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true tccp1 bz). hd*about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attachedfyan :-myj,za +cn 35mab;hi4 to the bottom of a large container of water. The tension in the c4y5aj nhnaamz;b ,- im3:fy+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 scal1u w39 dw9sppqe reads 2.50N when a small solid mass hangs from it in air. The spring sca qpsudw3w9 91ple 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 solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and unifo rpp2(a1 whbr 0d;4nbgm w+6lprm density floats in a container of water with 60% of itsnbp0 6wa+(1 dwbplr 2h;4 mrgp 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 cylindricall(vb k d-9e6d 1abpg/ayy-shaped pipe. At the lower end, the pipe’s crb6/1ed9k-aa d pyvb( goss- sectional 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 marked as it moves along a horizontalhf) tz )fj0h+tf6)8yk5 uiotx streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on x+hj f0i65 tu)t h)toyfz fk)8the 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 59 v+aa5 fyh-da-k x8ad3suffthat has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happeneday893s-fa+u f5kx fv5a h add- 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 arrtvt4ueg380- j( tart rest a distance H above the ground at the edge of a plt(r08-uttrga r 4j3evatform. 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 bml 2h:f5;itsf lock 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 a density of4d;c*zjg*rb (ceon l- $500kg/m^{3}$ . 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 (dep ) 5bip1v ,bt)v;ooiwnsity $13.6g/cm^{3}$) 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.