94.17: A cork has weight mg and density 25% of water :clfgn)d2u5sh,c; gn 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 ofgd:gh)c,s; 2u lnfcn5 the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic cew1ts 5ij)s)n bed 29qanai4/me1afr6ntimeter of pure go)nr 126aaj54ifs wt/sib md) enq9e1ald is 18.3 grams. What would be its mass in air?

  04.29: Three fishing 1 5i;avey t9xobobbers all individually float on top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and e95vax;it y1oC 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 following is the besccwen a 7. *nv3,rubwk2f.ik 3t statement of Pascal's Law?

  05.24: The hydraulic press, which allows larr 6dtm1ow: 1ncge masses to be lifted with small applied forces, is a consequence of which prc6nmt:o drw 11inciple?

  06.30: A copper block is connjli sj9+-2me tected to a string and submerged in a container of water.2ms+ lj9te j-i
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 p.st2incin3+z 9 /;y j auxoz)bressure is yb.ozi t /+9i3j ;anuxc2n )sz$1.0 × 10^{5}Pa$, 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 the objejn-v8nrn w/sto v)al: ; u6q:dct submerq)6nwur-a:vnjd s o:nlt v;/8ged 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 com f)vba7)m1zdvy7x9:ckz k -(r xy d+ube of aluminum have equal mass. The cubes areplaced into the same large pood1:mkv)x9 )r bv( x y7zdocm7fa+z yk-l 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 fill5numtql kx;idy;p5.iw k*k78r5c g 2du)vky8ed with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Whic5cl;k d y5*kku2xup7viq)g;niy.rt kdw 88m 5 h 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 yw yxm. 0w.cl2radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Whx.m w0cyw2l.y ich one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a lonx( 6((nhe sej7efoc2lg 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 region7e(ls ((2cenxhe6j of of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced thrdup9g0shknv:g 5a4( 1x-b(vn i r -qfcte6o0i ough a pipe of changing cross section as shown. In wkqnvxfgodt-cu05h 9prs-16(ii4ne vg ba (0 :hich section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L havew-d m4l() qdah/jkj. g equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about tkjhjd(-m/ ql g )4d.wahe buoyant forces acting on these objects?

  08.16: A block is connn xp 8. koj3pqnau7-q1ected to a light string attached to 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 block is 5.0N. What is the bn8 3j1qk- pnpqu oax.7lock’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs fro 0j: li(u,e6txccuf6pm it in air. The spring scale reads 1.58N when the mass at the end of the sprinfue( jtlc :p6x, iu0c6g 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 man5x7ogt 65 n3x;s tt,sp:wxozterial and 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 with denss 6xtts ;wt g5o:xp zn7o5xn3,ity$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cylindrically-f0h, bcfc06rr27nj cb shaped pipe. At the lower end, the pipe’s cross- sectional ff,c2 0nj6c7 0b brcrh 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 horizo-(5jtfbp i/mttr0s1 j ntal 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.m5j 1sr ttt( fpji0-b/ What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tuo 1byp8ic7z8e. 76y8squm a-sd( ydvcbe 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 narro1ud.apsc6q yiy y7e(8 c87d v8-mzobswer region as compared to the wider region?

  10.47: An open cylindrical container with very large radius- m-mxsdj 2/1dinb f cg+z56 m2)paxjo is at rest a distance 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 platfos 2 pigx6am)bc 5jonddx2z+jf--m m1/rm. 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 bl:c3 e myast+iv96xs9iock 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 pool is filled with a liquid havil d0sy-irt:mr-qa3; cng 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 (den 3q ff2pgl,*dzsity $13.6g/cm^{3}$) 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.