94.17: A cork has weight mg and density 25% of water dencips2g /+n+lou5qix5 yop ..mz)8rodsity. 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 o2.y pg xi5umn5l r+iq+cz/d) o.poos8f the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, ;ge)ra41d* c r*dwyr anbv 0l6the apparent mass of one cubic centimeter of pure gold is 18.3 grams. Wha4cb6e0rw r ayr1da* lg) vd*n;t would be its mass in air?

  04.29: Three fishing bobbers all individually float. 6yxei*1 u/its7cn wg,fju3rop:2sm 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 water, 7 3 n1fricu o6,x/gwussm*.:eyj2 ptiwhich bobber will displace the greatest volume of water?

  01.18: Which of the following is the best st-ji0y;5)fj 8 aub) qihs4m/fgmkbjh-atement of Pascal's Law?

  05.24: The hydraulic press, azw- p)/-tk- so5tknrdtn)9 k which allows large masses to be lifted with small applied forces, is nw -9tzskptk)n5dka- r t)o/- a consequence of which principle?

  06.30: A copper block is copf-1pz aevn;d 5:x gk9nnected to a string and submerged in a container of watp dk; p-ae:z5v9xf1gner.
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 wideno:(w:h yd sm) j4en,s. If the atmospheric pressure is :sd hn w4sje)y,n:m(o$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floatsa7sml+. s- ( nonmaz2j at rest with 75% of the object submerged in a cubical tank contm.72anm so+z na l-s(jaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube ozo8 7gpv sj.k uwdsopc846+g9f iron and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that eacsozjo9 pwd+uc g kgp4s8 .8v67h 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 filled with vh8 ri/rdw5 (ipure Xenon gas. This balloon then is released from rest two meters above thev diih(/rr5w 8 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 expa e k2t )t44:p23oebruk1ne wbxnded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled win2k4t3eebk xeo1wr up2 : tb)4th 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 horiz;zv te l(fv62+glgc7k ontal 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 ra l v;gvegc(7fzt2kl6+dius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross sue/;tacg *6b.9 ienq aection as shown. In which section would the pressiaq.9tag bnu/ ee;* 6cure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D9p(anb j0/mb/m c-kb s0 and D0, respectively. Each of t(n/kmpc as/m-0bbb9 jhese 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 bottom of7ne0h/iz- +;rr8 mid:c 0k afmih ik*e 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 block’smzferh07-8k :diieac 0inkm/ihr ;+*volume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs obh9ul7 tps+)- x9so rfrom it in air. The spring scale reads 1.58N7r9oxtb) h -o+sp9u ls 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 mdm0g 0 oym3.o0zy5gbbaterial and uniform density floats in a container of water with 60% of its volume submergedbybm. 00dgmy3zgoo 50. 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; psqsj3 5r*3aw7vz .f zqw6gd pz4u4t a cylindrically-shaped pipe. At the lower end, the pipe’s cg;qs*4za qfz6.jwwt pu73 5pz3vdrs4 ross- 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 ideagm60t j61iadml fluid is marked as it moves along a horizontal streamline through a pipe, as shown in the figur am01it6djgm6e. 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 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 has a n0uz bquqg6/l9qzv -e3 nj1s 9dm-: dlbarrowing cross-sectional area as seen in the figure. Which one of thjbequ-:q0q /-sdlu zzm6ln dvb 39 1g9e 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 is at rest a* b whlx7*j-tt-f x4eh distance H above the h- 7wx exh 4lftt-*jb*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 cubdi a ndv8)j/y)ic 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 pool is filled with a s x (4yhqtqs 4j3q12b5ig) cedliquid 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 mercur 1 mw;3iv;fo)k8ili kzy (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.