94.17: A cork has weight mg an+x-qh (5ebobed 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 sqe-(bh+5eb xotring is:

  01.20: When submerged underwater, the apparent mass of o:t:ur 7( 4ckh )aliftine cubic centimeter of pure gold is 18.3 gtu( r)lkha t7f: ic4:irams. What would be its mass in air?

  04.29: Three fishing bobbers allf-- -k g(bgpjr individually 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 fjkr--(b g -pgshapes 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 following is tqfcl9x9(o/ix w dl8c0he best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large massesh/uz3,if- k 05hvuaug;6 vtdc 0cx9:q ) ysluy to be lifted with small applied forces, is a consequence of which principle?yu3 f0;dvuyci5 hsqh69/akgc u0: t -l,xv)zu

  06.30: A copper block is t;n9oi2v cm)aconnected to a string and submerged in a container of water. c) ;iv 2aotnm9
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 pressurvuoez /z4hsh;d s (hz 9pw,f 78y6poil/pj6g0e is g7vs f 9hi/zpd(6o4,s/;lpzp ywj8eoz h 6h0 u $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% of theb*uxxqj m;09o q.0zp e object submerged in zbje9qu0.xmq*0 x;o pa 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 alumiji.,v ;combhe. k 4g:-rw,z xxnum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object experiences the v4egochz :-jw.x,xmk. i br;,greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloon th7h:vqw l4g:; yo +ysd osum/e9en is released from rest two meters above the ground on Ea7 ;uqm9:dlwsvo4/+y h:yse gorth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balzo1 q7kr44 ycrloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which 7rq4c z4 kyo1rone of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows 9+2pvk 3 of02vfhejgothrough 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 ratio of the fluid's speed in the region of radius R to the speed of the fluid in regph2+ jffovv02o k e93gion with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross sec8 t(xulcyq 7iajk28 *ttion as shown. In which secti8xjk8 2it7t(*la c uqyon would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass b* geyiom7d53 gut densities 0.95D0 and D0, respectively. Each of these objects floats after being tid *m3ogge 57yhrown 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 tf0- gyv)cc *j1txg(dyo the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the )f0tg dvy1jx -c*(cy gblock is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when k4 w2tju;-+my 6enewv 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. Which one of the following choices best reprwvu+ye 2t; 4ejkwn 6-mesents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a con. 3krb, jd oa(,/jz2hwxyt1qo r wmy13tainer of water with 60% of its volume submerged. If this same cube were placed in a conta,hj mdo/1y(arwxr2 wqjo ktb.3 y31z,iner 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 cylindrically-shaped pipe. At tpov* vgp,-y( p k;zp5she lower end, th-s;kv,p y*ppv(zp 5g oe 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 horizontal streact94.d fa ,ry u4kn,*9dvsmozmline 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 whkd d,s.*ztay4r4,9c ufnom 9 vat it was in Region I. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid complettv)5j.0 g8wdc ;4nvb,y+ vt an) upbylely fills a small horizontal tube that has a narrowing cross-sectional area as seen in the fat0glbn .y+ t8)yu) d4cjv p; ,vnb5wvigure. 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 radius ef w-8q6xq p1t is at rest a distance H above the ground at the edp qfw1tex8- 6qge 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 cl(jv2t2p- 5qbus 95bmu6ojb fubic 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 swimmiwq(1kb9 mer;ke jon/2ng pool 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 witholaa myid 8s) cx/k* ,s-*kkj x)cp6l* 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.