94.17: A cork has weight mg and density 25% of water denskz-ixexsgltm6; :a6p; q9 9q3 qtcp c3ity. A string is tied around the cork and attached ts-gce9tpl9k:xq ;q3i xz6;3 qp c6mato 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 mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of 1t t ,a o etct,l30uuqw;2i3wgone cubic centimeter of pure gold is 18.3 grams. Wot , qa30ttegui3;uw tl2 1c,what would be its mass in air?

  04.29: Three fishing bobbers all individuaq z4x;oz 76f pdppfp-/lly 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 ar4;dpop 6q/p f7zp-fzxe 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 thezhy3e88fntx uzn4.b x8 ,*bro best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted y-ow+lnbpf:2ngom1dq )fg +9with small applied forces, is a consequence of g yn )w9b+oop f f21g:ml+-qdnwhich principle?

  06.30: A copper block is connected to a string and submerged in a coo9tyj9.r g5g wntainer of wategr .j tg9w9oy5r.
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 thec/u * 47u))tvan3d*uahx j9ui y;:zl pz uf4be atmospheric pressure is zt4 p uhafbuuel 9i7;z:)n )y vdc/3*a4*uu xj $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg obioy8uz7ayw .(f(yp3 kject floats at rest with 75% of the object submerged inkif38 ow(y .p (auyyz7 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 of aluminum have equal2zyxxlekh -qiwx)sr6o* *x *9w8o.k f 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 experiences the greater buoyant force from thf2sw x* y)**wi.8x6-q xhk zl exokor9e water?

  12.21: A child’s balloon is fille.f/eqmz ugnb in s9z-u90 .sp6d with pure Xenon gas. This balloon then is released from rest two meters above the s.zbgf9.np/ 9u6q0 mizunes -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 expanded to have the zzfc9:3fi1 m t h3:8 0lzk2iiw*uhotksame 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 corrf *2kt imil8zz hi:k1zuw h39fct30o :ect?

  03.36: An ideal fluid flows through a long horizontal circular k8d;9xqweii -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 radius R to the qw ;iixk8ed-9 speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing crosqanb m de+v**(z7be-i :*sl pes section as shown. In which section would the pressure of the flui*vb p7s:ne z* -eei a+qb(m*ldd be a minimum?

  07.35: Two objects labeled K and L have equal mass but den*nby: y ruqv./nh(ve2p-p ru*sities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into /*vqpnrbeu (- 2h:yu*p r.ynv a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected tob9m3r6 *dtx jtp d:p(t 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 block’svolume? bt 9rpt md*j(xt 3:p6d

  15.30: A spring scale reads 2.50N nzbfcg xsczi(v /;da/+-g x+8when a small solid mass hangs from it in air. The spring scale reads 1.58N when the mc/(sa-g 8+gncvbf; x/id+z z xass 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 m x 4 (mt 4l+5.y5ag44dzfv:gao q ,7dtkbuhlfxaterial and uniform density floats in a container of water with 60% of its volume submer4m xyh+5kt ,fufo 7.d:lv4xq5agltab4(d g4z ged. 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 pipe. Atv0y ci64j mqchz3o.z( the lower end, the pipe’socv ji630c. qz yzh(m4 cross- 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 ideal fluid is marklfvzy-.z/3r2) yu haued as it moves along a horizontal streamline through a pipe, as shown in the figurhry-uu2zz vl3).yf a/e. 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 narro1cysmqr8im-*88 v nr;n,ajbwcer * +ywing cross-sectional area r1 j88nb;v+r,y c mr-amw siyc*qe8* nas 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 narrower region as compared to the wider region?

  10.47: An open cylindrical u45t jrhok6pz(6sfchxd / 36 a container with very large radius is at rest a distance H above the ground at thehz x56ojsfrpahu( c3 d/tk646 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 solpapo9;6 yb+5 rg kvoueir++j 5id 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 having a dnzih hj,u 6ez2 8o8s+*nit :qfensity 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 o )p 3:,d*xw q p+(mb.uelplthwith 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.