94.17: A cork has weight mg and density 25% of water djqp1 sz i/(l6k.obbo 7d svt92ensity. A string is tied around the cork and attached to the bottom of a water-filled container. As shown in the accompanyin o6ijzb.d7 k( qslvp/19sbot 2g 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 (4qopteo8p m4tx8t t d *q4/+ckygl , r)eya2mmass of one cubic centimeter of pure gold is 18.3 grams. What woulddqp84q t) ck am opy84(gmty tl2e*ter/o4 +,x be its mass in air?

  04.29: Three fishing bobg0 c s/,h82n *hetcmbabers all individually 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 butbg2shhnm/8c0,e ta c* 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 b7g -u8aeuroob8w; g 1following is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large massmm*8:xel2qe5 3 mlu ed*wu)u qes to be lifted with small applied forces, is a consequence of whichl*) em5e xe8m3: wd*ulquq2um principle?

  06.30: A copper block is connected to a string and submerged in a container f, bcm7 13epy( qpxir-um g)0sof wats m,(xqm31y) erp u-pbg0ci7fer.
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 atmt o*.qd g 4ulft md-:2habs*5mospheric pressure is 4b*sdm*tg:ufhl.t2 doma-q 5 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uni5i iuo.d kqfd,8 jqlp8*6/0ii wpinn)form 10.0 kg object floats at rest with 75% of the object submerged in a cubical tanp0 k j8d6)iinqlui5,.o i 8niq/f*pwdk 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 alu7ju txvu ws6 j, f,;)tvjc-3wbminum have equal mass. The cubes areplaced into x u u-w,, ;j6fj3s7jv)wtvtbc 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 the water?

  12.21: A child’s balloon is filled with pure Xenon gas. a* nveli7ooh/f24mblk h;c51This balloon then is released5m /fha* c 7 oh12eov;likbln4 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 are expanded to have the sa4znxqxw.qp os cn;z bg*z;n d2:0jenmi(7a .0me radius. Balloon #1 is filqn0o;njznm (:0x4;gxb*s .zip zq2ne7a .cdwled 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 correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In one r 29cayhwqqfmd5 59u-aegion of the pipe, it has radius R. The pipe then widens to radius 2R. What is the ratio of td 9 59h5 fawymu2acqq-he 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 secvd +,0qjg2m7h mk hgi*tion as shown. In which section would the pressure of the 0hm+ ,g 2 7mvjdh*qigkfluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.w tj9 )u7oh kp)-(kasf95D0 and D0, respectively. Each of these objects floats after being thrown 97oktp( fah)sw )kju- 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 of a0a*c:me 3clpm+ips zr on;1/x large container of water. The tension in the string is 3.0 N. The gra3+s;nocr/pmpx 0m *aie cl:z1 vitational 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: :iu7pzkei e:rim)6 j0ymf*i 5jq3oj 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 submerged in a contaiji6j:z5 k muqmf i 7yro30e ip:e:)j*iner 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 i e,,q(08uleg8u coappn a container of water with 60% of its volume submerged. If this same aqgu(0 8 pcu,p,8eloecube 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. At the)0k7s e1 fd7a+ v:n(t lnx p10dfacusm b8z0lh lower end, the 1a u80vnbemdtz ca0sn0):hxdpk+fls77l1 (fpipe’s 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 ideals3vpq/t uzixsz :g*l ctz*sw64v) -o+ 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 flux):l+ ozvgc6 -z4/izs w3*sq vu* tstpid 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 horizon i1,9f*gbxbkl tal tube 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 narrower region alif19x gb bk,*s compared to the wider region?

  10.47: An open cylindrical contah7(,pymwvd(1 oi6s,mj op2 aliner with 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 horizontally landing a distance H frlip j16 o, , m2dayp(7vw(somhom 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 ofq 9ag (u0:h6eczv8zm b a solid 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 havi( vq0 e. sgoa*2x8jwtung 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 mercurufsp3+x0f1;r p *t tza/fa ,dvy (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.