94.17: A cork has weight mg and density 25% of w y.j)ffvngs+ 5ater 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 is:y 5g.f+jn )sfv

  01.20: When submerged underwater, the apparent mass of one cubic centimu(c-pcaf :h)le+uj7 jeter of pure gold is 18.3 grams. What would be itsucjph- )+u :fc7alje( mass in air?

  04.29: Three fishing bobbers all i2z4 i7 )g 6xpl2gspxdfndividually 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 bobber will displace the greates2p pzd246lx fxsgig7 )t volume of water?

  01.18: Which of the following is the bestnt8 ) .djd x7q+0mubqo statement of Pascal's Law?

  05.24: The hydraulic press, which allows lasigu81 )q1c px3xp:jhrge masses to be lifted with small applied forces, is a consequej x1hspq ixg31p c):8unce of which principle?

  06.30: A copper block is connected t0g6udi /dg21bn1 gezbp x.--k svb0ato a string and submerged in a container of water tb/d0bd2buga xige-p1g 6 -0 nz1sk.v.
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 lvmo9 wptrxipo vu9s(1p-; c+q1:)ihy ong and 5.0 m wide. If the atmospheric pressure is rvpip9v)(1hm -i qs;p :uty1o+wx9oc$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats g.1ebtv :0c oxat rest with 75% of the object submerged in a cubical t.1x v0c egb:otank 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 alumin 0blw: +o8js fdzgx50mum have equal mass. The cubes arepl fzo8+js5m: 0gbld0xw aced 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 3hw 4prnt6:bak ldhvzi)5:a):f p ru9filled with pure Xenon gas. This balloon then is released from)l)w5n4ahu::i fvz a t r 3dr:96pkpbh rest two meters above the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two7* /u yiy(h/g ilq/(5 qmefzoz spherical balloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of iu 5gey/(zmlz/ioq/ hfq*y(7 the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid fl i3huk55 *pfgx1 xgc3nows through 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 rat gixc x p*13nku3g5h5fio 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 thro/s :zo:k o1lc6s kjsn+ugh a pipe of changing cross section as shown. In which section would the pressure of the fluid be a :/ o:sj z k1sks+lcon6minimum?

  07.35: Two objects labeled K and 4ccc)byo5 cya19.yl d L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being throw9c.)1 al5 y y4ydbcccon 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 the bottom of a largeyo7v a6 mi50ymx8fyn.zap*zis1t6 3w container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the block is 5.0N. What is the b8smyz it3 wan*pf0576y va z .m6yo1ixlock’svolume?

  15.30: A spring scale /qbwdf f0t ea iwf*26.reads 2.50N when a small solid mass 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. Whichqb6/*.diaffwt wf e0 2 one of the following choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of un/*td2u- o yg +iq zi2izs.cpr)known material and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placedz- +qou2 y )csg/*dizt2iipr. 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 cylindric.ejvr lput*7, x(hs 9fally-shaped pipe. At the lower end, the hp7,vet9fr*ux. s (j lpipe’s cross- 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 mx/f rsiyzin*z:- r- hw;c1qf6s4 b2afluid is marked 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, horizontala h*i ;1y qr-zz46xwm:rf- is/n2csf b 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 compleaja8d e*1r;8utbz dx :tely fills a small horizontal 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 compared to the wider region? ddet;u8a 8a1z: brx*j

  10.47: An open cylindrical container with very large radius is at k p7 fy1y*u4eprest a distance H above the ground at the edge of a platform. A tiny hole develops at the bottom of the container an*puyk 4 eyfp17d 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; dfg5guu d-v0kfq6 5owth0c ; 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 ixb iuac0 8i0sj27nk /ys 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 fil+q v1hhv vkro7b)i5 n7led 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.