94.17: A cork has weight mg and densit;pb: uy fdb;*y+3ikvky 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. Exprb y:;d;y+p*uvif kb k3essed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, t7hsi)axujq,fz ip;l q s)fvfvl: /71.he apparent mass of one cubic centimeter of pure lff a;.1)zfsv)u7q 7 pij/: v ls,hqixgold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bob/v:rzv0pk( csbx v;r8bersA 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 z8vxrs0/ vbrcp;kv( : 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 fol xwx55fz3-bi u)) b h2nd2fdr5snh2nilowing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large mapoq1 xxr:2a psyd;..esses to be lifted with small applied forces, is a consequence e xo;..2r1yasxp pd:qof which principle?

  06.30: A copper block is connected to a string aneov,/ni+9qi dd submerged in a container of w9ivde+n /qo,i ater.
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 th)nb 4aq9k p 3 fkvi,4m52mqvzde atmospheric pressure is d)m4fm i, kq9n5z4va 3qp2v bk$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg oqk9r;ljo5 acp7cg).b bject floats at rest with 75% of the object submerged in a cub9pal.5gbrcj)cq ok;7 ical 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 aluminum have equal mass. m 4ld8zpm8s.m.y 3y6un r r)szThe cubes areplaced into the same large pool of water so that each is completely submerged and restiny)d8pn4ryu 8.6sl.3mmrz zs m g on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloon +zdgfer j1j a6iqq2 k28)gy3n then is released from rest two meters a g3j2+igdfjq 6qznr8)2yek1a bove 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 are e2zc6,fbnu j2y.aydt::l .gk p9c eev.xpanded to have the same radius. Balloon #1 is filled with hc. vajylzc2k:be p 6:u.f2dg y9 .nt,eelium gas while balloon #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 how6ja c1dt/ dp*rizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the ratiod*/ wd6t1cj ap 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 showvc// +a .ffyegn. In which section would the pressure of the fluid be a miniafeyc .f/ vg+/mum?

  07.35: Two objects labeled K and L have vaj. a/ytjl/jegk2 jr.5 c:;o 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 the buoyant forces act 2j;g.:j cy5/jlo j/tearak.ving on these objects?

  08.16: A block is connected to a light string attached to the bottom8 eltcf;r7ceksn3u 6xx) l,e/ of a large container of water. The tension in thex)ur; 7nx clc/,leeek6 38stf 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 reads 2.50N when a small solid mass hangs from it in airdva +smizjntt; .22f46j d vu-. The spring scale reads 1.58N when the mass at the end of the sprz.2 idvdsm64 javnf;tj-+t2uing 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 den,ky4dhr pt; 2pb-1g na5z4 1kpy ;ouoisity floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container ofth;yz 1k p4g4 yp5k-u;ob 1ipoa rd,2n 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)d) b (porbl/ ly9:inm:pns6ne. At the lower end, the pipe’s cross- sectional ar:r:nsllbm ybo n()/pd 9inp6)ea 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 horizonty2 +xi 4/jwci.*lu4j:lyqoal al streamline through a pipe, io4y ycwiu q4xj *l.jlal:/2+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 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 narras p)brmhy et6 uw 6oa3v.80-iowing 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 narrow6 uoa)6r.y0-tewh8b3ai s mpver region as compared to the wider region?

  10.47: An open cylindrical container w 3yl4q (.(mfc1ddbxlc ith very large radius 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 horizdb(4dfmcqc l(x. 1y l3ontally 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 s:sepwr9ddq+5x q ck*:7ipu;)nevult3lj (1 b olid 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 swimming pool is filled with a liquid havjk1ac,2xcfug a-0q 8rl 78q ny mdhk))ing 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 xgiub jb4dj./52, nc dwith 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.