94.17: A cork has weight mg and density 25% of water density. A s8i h+ 9v lq4ndtsj:ak7tring is tied around the cork and attached to the bottom of a water-filled container. As shown in the accompanying figure, the ckd l :+nvqjh4i7ts8 a9ork is totally immersed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged uw-. aggze 3v4vm;w6ufm 5*+mi g jw,randerwater, the apparent mass of one cubic centimeter of pure gold is 18. e-3grm,45iumaw6 w.v *gfz m; avj+wg3 grams. What would be its mass in air?

  04.29: Three fishing bobbers 3: p.srz2k.qwstda ym 17)tefall 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 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 water7 tz1d3.rws q2stp.ky a:fe)m, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the k ski7 fn h8pq-o:jlpq2.49fun,m3;zv chl-x best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to b2yadvcwnhu( fvn*u 6u *.b 1.ie lifted with small applied forces, is a consequence of whichc. n*yih2bn. uudfvu1*6aw( v principle?

  06.30: A copper block is connected to a string and submerged in a(,-ngp 4qs:n ba;mmmu container of water. nnb:upm qam 4(-m gs;,
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 py8j3nwopj9/9w9 sg5hrfqaz :ressure is y3s8fqw:roga nj9/59hp j9wz $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg obl5 3+r ll5xoabject floats at rest with 75% of the object suxl5 r+5o la3blbmerged in a 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 8fpko 1g y5eu/of aluminum have equal mass. The cubes arepy8ku5fg /1 opelaced 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 fill5a i:fdm*udx 0 q*gu5du* tt7red with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices beui* u*t55*at: ufdd qxrd0m g7st describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same y7 6vib :v 0a5l2 :;awe-ayccle-s zpfradius. Balloon #1 is filled with helium gas while alpfscv-0yci2 b5:ewl7:a6e; y v z-aballoon #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 fluid flows through a long horizontal circular pi2hlum)fy* zzgh i7 37ppe. In one region of the pipe, zfpgimhy*z 23u)7l 7h 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 region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as shown. In wf)l9gsmo:r kj2ns f3o 79vc +ghich section would the pressure of the flus o:fv3n)gglk+ c97j2mrfso 9 id be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 and Dp1b1ka y zd y9:sr5.pi0, respectively. Each of these objects floats after being thrown in 9pkb.py:i1sr5ydz a1to 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 botip2:uz w rf.z(tom of a large container of water. The tension in the str( .2:ipfw uzzring 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 rea8um(jva8sk8 z7rl q 7vds 2.50N when a small solid mass hangs from it in air. The sprinql 878vz k(vs78arm ujg 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 represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density fz 4-:-y 9 v(srxuuxwyy 9sn4soloats in a container of water with 60% of its volsr4v9uz-yoyy: -uxns( sxw4 9ume 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 cylindrically-shaped pip 5n ;th,zx4smtwo;l b6e. At the lower end, the pipe’s cross- sectional area xon,; 6w sl5;mtzbh4 t 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 itm g7tk;l2y-uk h 9k0c1 (j4u;vnce scr 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, horizontal pipe narrows so that the radius of the pipe in Region II is half of what it was in Region I. What n 2ck90rle7-kgk(jyc v;t41;muh s c uis the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tubeyx99l33vdsr/ o dk6 lawhci19 that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what hwlv9 o6kac9irx /ldyd9s 313has 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 wqn59 -sp3gw/yzq 6.:kowu bjwith very large radius is at rest a distance H above the ground at uzw- gop5 sw6/w ky: q93jq.bnthe 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 o ug+em2;xp,s pf a solid cubic 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 swimmineae yc)tqqhwjey1/7d4 *qrrh gu8e yx4: ;4g5g 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 fi6ezqo0qkz :2flled 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.