94.17: A cork has weight mg and density 25% of wa 3kawppv..eu)w7i,w+ c dmc;b ter density. A string is tied around the cork and.dcaw7mp ,;uwciw 3v bp).+ke 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 of the cork weight mg, the tension in the string is:

  01.20: When submerged unde 8og tbv9 98hd7vah-cdrwater, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its mass in7bhvh vo9a8d g-t8dc 9 air?

  04.29: Three fishing bobbers all*n2lee.0 umh9+yi rrk individually float on top of water. BobbersA and B have identical masses and densie9.2l0 h r kr*minye+uties 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, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal's Lhm+ 0p4dxqe-eiu7;k h aw?

  05.24: The hydraulic press, which allows large masses to be ap :98mq.ez/w)vt rdi lifted with small applied forces, is a consequence of which principlv8wt.e:9ad )p rzmiq/ e?

  06.30: A copper block is connecezq f51kjb2e-ted to a string and submerged in a container of w21bf q5jek ez-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 the atmospheric pwj*t 0qw7vcvl/7 (q yzressure is /lcjvq(tvw7 yq*0 zw7$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg mwk 5g.eh o j4 l;uhp5keoc0;(object floats at rest with 75% of the object submerged in a cubikj epuke h;(4h05g5mlw.c oo;cal 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. The c d,p rdw)*i0lkubes dik,w*pd0) l rareplaced 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 the water?

  12.21: A child’s balloon is filled with pure Xeno1+n9re nzgg 7cn gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best e grn9cg+7n1z describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radius. a61jkz8t l r ./oh:ompovj d,: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 ball.am,1oopkojz8 6 lv/j drh:t: oons is correct?

  03.36: An ideal fluid flows through a long u,0wh*c4jl.igc97 r uesqgf;hl 1gn9 horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to r gc 7shj*fe 9n9 lrh;g4.cuu0qlw1gi,adius 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 thrs4, 1s8cpirev1r n4 riough a pipe of changing cross section as shown. In which section wr,i4 i8v11 crspe4rsnould the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D05:h yig ce+hs1 and D0, respectively.:cs e5hhygi +1 Each of these 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 oddn 1l6 mfj,r/n6o)w 0y rl*mif 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 61 *)rnm6nm0d d/ rlowyljf,ithe block’svolume?

  15.30: A spring scale reads 2.50N when a small vzp5.qp 9d.yni 0e -v6sl-o4s y2 jemwsolid 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 cs y z0pj.qwo vpn94-y.6m 5l2esed iv-ontainer 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(crk if; b 7:+-ytktky and uniform density floats in a container of water with 60% of its volume submtfy;+r 7t ckkki-yb: (erged. 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 nmuq hh4fma.7n)ah 44a cylindrically-shaped pipe. At the lower end, the pipe’s crosfuhha h4 qna4)7nm. 4ms- 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 xf3w 7:am3upe horizontal streamline 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 what it was in Region I. What is th:3 ew7 mx3afupe speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a sm6m 1 llg 138od wcqakze9m,g8aall horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has ha69a8qe813ko cg 1gallwdmzm,ppened 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 is0m uzeyv8 +fnb*lpf(ws9bib ;o: fi,4 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 im*:e8 ow,b( fbvp fb4 sny0lzfiu+ ;9distance 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 cubic block is given as + uxo4 e8 zdl;e e raznf49*vd(hl,nc5$ρ=0.750 g/cm^{3}$ . 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 h)x..hirsd xtz+x 4pi+aving 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 filled1a 35k5pko1timn l:qx 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.