94.17: A cork has weight mg and density 25% of water density. A stringfotfp/: kew4: is tied around the cork and attached to the bottom of a water-filled containf e /o4:fk:wpter. 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 under 1mnj p :2wqlzfst.wz g.,q-(awater, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its mass in aiwq- f.lp(,wgm.2t:ns1aj zzqr?

  04.29: Three fishing bobbers all individually float o2l2b5w1vrp9:,en pg*ph/yh;ga a xa bn top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and Cl9 5bawp ey n*vxgp;g/praa :2h2, bh1 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 best statement of Pascal's L 5rm8wfs mz m*a+(l.hgaw?

  05.24: The hydraulic press, which allows large masses qv5y4u1k re s.p7wck+ty .6lcto be lifted with small applied forces, is a consequence ofe. r7y6 cc4.5kp1ly tusv+ kqw which principle?

  06.30: A copper block is connected to ame iakn6j-n sj- 0(; h1+fdaxdpd*vl 2 string and submerged in a container of wateik+ed2-6jfl d* h(0sm d1nnv a;jap-xr.
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.;iynco (.u8 m4dmzv 2f0 m long and 5.0 m wide. If the atmospheric pressure is docf8 mv;.2 i nyz(4mu $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kgxn ixu5i*zb( ;3v9 li gu.0vas object floats at rest with 75% of the object submv5 x i(ug0iubsi.z;93 xn*valerged 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 cube of aluminum have equal mass. t,dcds (c e.f7uf7pw6The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Whicf7wf ted. su6 dpc7,(ch object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloon then iq1 lr7; 9cw; s7rnsjxos released from rest two meters above the ground on Earth. Which one of the following choices best describes t;swj ;c97 7rnqos 1xrlhe response of the balloon?

  16.23: At a party, two spherical ball9eyeowch x jw1,35 i.xoons are expanded to have the same 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 cohyji1935 e cxw.xew, orrect?

  03.36: An ideal fluid flows through a long34qjw0jlhbe ) horizontal circular pipe. In one region o4bl0jejq3) wh f 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 speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing crf:n0j. wv,s dooss section as shown. In whichf on,jv:.0 sdw section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 and D0,ebo4f3f +sbdrq7 4y32b0ti ekqft i;- respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true 3sitt e7kqqfb; 20i e-d3y4r bo+ bf4fabout the buoyant forces acting on these objects?

  08.16: A block is connecteb c* l n1uulppi8e4.871 b/7sqegsqz hd 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 8z/8p 4unc qe b7l*1gqbuss 7iple.1hblock is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a smaln6q6p ajlagf +2vi.cdt( t36m l 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 container of water. Which one of the following choices best represents the density of6tv2ct jq3apn(dla 6 imf+6g. the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and unifo:nkn0cpa-ti k*2 go3xrm density floats in a container of water with 60% of its volume submerged. If this same cube were pl:-knp0atgin 3x o k*2caced 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 pipefqzta 3.evlq,xh ksvd0;) (yq7l6 /tp. At the lower end, the pipe’s cross- x3ys ev .t/z);(qv0aql fp,t6k 7dhlq 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 marked as it moves along a horizontal streacfcgd0o76ifzn1* .ramline 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 wha1g*i7 rz6cna f.0cd oft 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 horizono. -6ofp/vk(l dxmp+rtal 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 as com-vm ol p/p6fo(xd rk+.pared to the wider region?

  10.47: An open cylindrical container with very large radius is lel u hu0rm8ife92/ 5km/lr i1 at rest a distance H above t52 8il/llf ir mh1r0e9emku/uhe 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 cu 6zse(ry,hs,23yp rz fbic 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 lique3 bxc cxc+n0icg4/6w id 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 fi w3(wpa1r*vi nvkh or55+ kx0jlled with 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.