94.17: A cork has weight mg and dettz::m9 / its0zrfb 6ensity 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 is9rfstb:: z0mzt6ie /t :

  01.20: When submerged underwater, the apparent mass of one cubic centimd)rh-v 9 *4vcp(hd+5shb dp:ednfs7 seter of pure gold is dhc: prv hs 4()d+-95v *hsbsnpdfd7e18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bo3 zyd8 yv fk7hokq3 7wt:p9vb:bbersA 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 bobber will displace the 9qft ky v z77:bdhyk3pw8v3o: greatest volume of water?

  01.18: Which of the following is the best statement of Pas--o hhg.km- xv55dtf ucal's Law?

  05.24: The hydraulic press, which allows large masses to qr5are,7k 4ga be lifted with small applied forces, is a consequence of which principle ra5ekg47 aqr,?

  06.30: A copper block is connected to a string and su,pc/ n9uxx 8m7sdgx aurr rc :h14,x-xbmerged in a container of wap1 g-, x a4ncd7:x/m,x9hruc 8xrusrxter.
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 pressusdx/ sru;bo e.6w99rcre is 9s;xobcuds.w9 6/rr e $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% o2 sld6* jir4yof the object submerged in a cubical tank containin2j4o*drs6 ilyg $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of aluminum ha5o2q h)r -.nly2/jie u /;fjlazb;cxjve equal mass. The cub .aej/-l;br ocnl)yu ;2j/z2i f5h qjxes areplaced into the same large pool of water so 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 f3s/5zwjwl7 ;p11o z nsbgm8rdilled with pure Xenon 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 barns/zwsl 1zd 1 5;j7mpo38 gbwlloon?

  16.23: At a party, two spherical balloons are expanded to have6iaq:kq l*n n2* gd)nb the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statementsn*aq*:k6i 2)ln gnqdb about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In one rej1bi7i)cxunh )l kj( 4gion of the pipe, it has 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 fluij4i7k)xul)hjcn1i b( d in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as s,tfce ks8de1x-1b wq;hown. In which section would the pressure of the fluid ed1b; esct wx81-fkq,be a minimum?

  07.35: Two objects labeled Kd- vj vl0mn;:m and L have equal mass but densities 0.95D0 and D0, respectively. Each of these obje-vm:ml ;0n djvcts 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 thetqm; xvq s:e/0 bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the qxq t/v0s;e :mearth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangst do-hrnx3hu jc.)zlt(y . w2, 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 representhrth2 wxjo l. ,t zd.(cu-n)3ys the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown matefktvuf cuh k44:w nw; l26u(zy:y i32trial and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container oft lwy26 3un; kvu(tuzywh 4c4:ff2:k i 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 cylindrically-shaped pib)0f/neqbt 0lau 8r+p pe. At the lower end, the pipe’s cr 8qb/lrpn0u te)ba0 +foss- 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 movnznoc 5 xprl:5)v;sj-zo4x 4t r*kqf8 es 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 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 th)z:o48xr ; ltx4pj5so*-c vzq r5nfkne marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tube that has a narr1:nl* xk 5vdsl6mf2mbowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happened t2x 56v:1fdlmsnlkm* bo the fluid’s speed and its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindricalf8xxp9 wi rp5m(-ve c9 container with very large radius is at rest a distance H above the ground at the edge ofvi m8 xpfr9c-x95pw e( 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 block is given as rc ;:4wm xe9vh9 jkph3$ρ=0.750 g/cm^{3}$ . 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 ofry8y*-po mw/ts 5 )ufk $500kg/m^{3}$ . 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 (densid)f0qpxd5mb4f -h8qr 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.