94.17: A cork has weight mg and dub3 iu 9lilr(qm-dy +9ensity 25% of water density. A string is tied around the cork and attached to the bottom of a water-filledq-duu l39yii ( b9lr+m 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:

  01.20: When submerged underwater, the apparent mass of one cubic rue6u :hpo*,8f6i rm acentimeter of pure gold is 18.3 grams.ur:8,f m6 uprihoa6e* What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of watfzj+,l 9of m1sz+b0a ser. BobbersA and B have identical masses and densities but differe ,ms0az9fsj+oblz f+ 1nt 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 greatest volume of water?

  01.18: Which of the f k:tia6zlq*p6 ollowing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted withx:nx/ ceb bw-, 2yw1-zaenqf1 small applied forces, is a consequ:we -n a f2 qwxe-1x/cbyn,bz1ence of which principle?

  06.30: A copper block is connes;vh 46 5iebryg31hamcted to a string and submerged in a container of watei4mb3e g;hya 5sv6h1r r.
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 wide8np giiyhd 6:9. If the atmospheric pressure is 6: pdiig89 nyh$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and ul 3on8me (/kqxniform 10.0 kg object floats at rest with 75% of the object submerged in a cubical q8mnke( 3x/lotank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron o/l66i/ff 7el9z bzeaand a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely sa f6ob 7ze/9 lzlf6/ieubmerged 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 bal+ s17d ska yvy 9(bc:berw./kyloon then is released from rest two meters above tea+s9/k vyd .krycb7 :s( 1wbyhe ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radiu:dz:g i))q euusui6(y s. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the u zy:)i: gsde6uu )(qibuoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long ho gnl7p )5jbx6irizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is 5 6xnpb)7jigl 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 zts;kv m519tce06,qm/m ttrb through a pipe of changing cross section as shown. In which section would the pressure of the fluid be am t56m9vts/1 rb0e; cktzq tm, minimum?

  07.35: Two objects labeled K and L have equal mass but dy ys0lvtm )4oa67vx 6jensities 0.95D0 and D0, respectivelymyv o47jvt ya)660ls x. Each of these objects 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 the b gfr8mjvx t(-i1q(/nx ottom of a large container of water. The tension in the stri mxnt(qx/rvf1- g(i8 jng 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 scale reads 2.50N when a small solid mass hangs fro3fnyeiz xmq7n+f 23h(m it in air. The spring scale reads 1.e 3i7n3nxyf h +fq2z(m58N 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 andny0h bwq.7)5gsju;7es (d c)af1ffld uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil wbf)gcy eul(7;as fd.50qj1s7 n)whd fith 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 pipe. At thew 8h-fn0r. eog(dz (df lower end, g(0h( f-rdone.w 8z fdthe pipe’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 fluid is marked as it moves along a hos4.1ij5s0 vujv jl( w l1h1lfrrizontal streamline through a pipe, as shown in the figure. In R (vr0ssh14jj1lw1l 5 vjf. iulegion 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 the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tube that hajb-ro ;vw3gn7 s a narrowing cross-sectior7-govn wj;3bnal 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?

  10.47: An open cylindrical container with very large rshr5 xe p9i(1jl i,q.xgc/r62y;afz vadius is at rest a distanc;9.a zx6q, i p2e j1/5fxgihcrr(sl vye 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 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 7r0c0m egm7+e3efib s*8eb gggiven 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 dn j,g.wv t9)17jebk vis 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 (density lsu 9)e nohjih5ie )l0 z+:pd4$13.6g/cm^{3}$) 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.