94.17: A cork has weight mg and density 25% of water density. A string is tied x. py3vflrx--ck80fv.ah 8euaround 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 mgf -px y8a80x fl- rhvu3vk.e.c, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of(h)b6sc jrg-b one cubic centimeter of pure c -6bsjrb hg)(gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top 4 ckmq0 n783c+xem gzre5kz3y 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 th y8c7r5k3mzqeme+ 0cn 34zkgx ree 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 the best statemen:hmeckqkx. .7zz)x4i t of Pascal's Law?

  05.24: The hydraulic press, durl ))d,ur h)which allows large masses to be lifted with small applied forces, is a consequence of which princdur h,d)l )ru)iple?

  06.30: A copper block is conn(a3fj2bb /, * 2pup7w,nvitiin b-nqnected to a string and submerged in a container of water. n f-iit bp*niw 7q/pb jb( n32van2u,,
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 22.01bp wst9av (cpy35 -tj m long and 5.0 m wide. If the atmospheric pressure is 9j5actt 1b- 3ypps(vw $1.0 × 10^{5}Pa$, 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 th: :7tt1i rlkyse object submerged in a cubical :tr ysl t1:k7itank 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 aluminum have equal0cc m/m9(,pa++f ylkyhxye*d 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 experie(9ykyfxy h+ lmceca+*0/ mpd,nces the greater buoyant force from the water?

  12.21: A child’s balloon is fi jo9e6b 8 z0tbqxd:u 22vh9dgklled with pure Xenon gas. This balloon then is release qvzjt8g budx:229o 6d0behk 9d from 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, two spherical balloons arpblf1d,:9kz 9r v ,r)wqbto/ xe expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant forces on the balloons is correc ,drlbo9tprb:k 1x )vw,f9q/z t?

  03.36: An ideal fluid flows through a long horizontal circular pipe.s g.hb93d3b 1j( mzsma 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 radiusjmm3ah 1dzs3 b(9bs.g R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changinh7ar a-(yvv 9g bhg jpb0;;;xkg cross section as shown. In wh kp(;07;y vrb9axhgh jag;vb-ich section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass n96 /by3l-iplqwa+m vbut densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. +9l ymib/3wp nq6v-al 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 7m;vci ,cov ro(y0+ml large containec cy rio7mv(o 0;+ml,vr 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 block’svolume?

  15.30: A spring scale read(twfd 5 7sy/ l9ik4h:d,pp 2hfk zmxhul 1s7/os 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 sk:9(f dzo t,uk 4 fhm2lh/pisdxhp/wls7 75y1 ubmerged 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 floats 2dlofqmn49 l 8,podn/ xhzi)4in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil with densi) qpl 8/f9nd,dlxomz4ni4 2ohty$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cylin7t k n tlv)),ljj,l;igdrically-shaped pipe. At the lower end, the pipe’s cross- sectional area is ,j gtlnt,v)llji7;)k$ 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 ide 6 hwkztdq7g-8kk 4a:kal fluid 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, horizontal pipe narrows so that the radius d 6a74k8q:ktg-kw hzkof 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 t:v cup;b68 fyo6 jcr/qhat has a narrowing cross-sectional area as seen in the figure. Which one of the fol u68ccprj vyoq;f: 6/blowing 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 kkz5p 3afm +;1;iqmv hj6( nsgvery large radius is at rest a distance H above the grok61h(s a;j5m fkmg+; ziqvp3nund 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 cnjl)x35vra+v ubic 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 swimming poo *3unavm7* i n16fhdre33jqdtl 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 with mercury (densx3:p,l8itff 5. ms 03xwldyhnity $13.6g/cm^{3}$) 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.