94.17: A cork has weight mg and density 25% of wgz1p0pa:d 2h* w)1f hgx:o zroater 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. Expressed in terms of the cork weight mg,hpgpr: ox1* dwa:z o2hz)g 1f0 the tension in the string is:

  01.20: When submerged underwater, thef+-5-eyu ;)tz y g j50f+(vz gzia et,6aihjru apparent mass of one cubic centimeter of pure gold is 18.3 grams. What t 6 zy5z;r5)-ea,i -u iyjega 0f hvu+(jf+ztgwould be its mass in air?

  04.29: Three fishing bobbers all individuallyi ,r(u,eb 0buf 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,ubb 0ir fu,(e 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 La 6u fwqeb(5,25m xyg5d(totd28jjst dw?

  05.24: The hydraulic press, which allows large masses to be lifted witrci2 ymvz6 h*4h small applied forces, is a conse4zi cvyr hm2*6quence of which principle?

  06.30: A copper block is connected to a string and submerged in a contdx, .: uxz o*lrt1b(siainer of wro.zix l s(xub1:* t,dater.
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. I0an)f4x mbp a2f the atmospheric pressure is 0fx4a 2am nb)p$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at ;amt3;+;wdr3ea ,9klgfqbhnrest with 75% of the object s,mw9dkbq; ;;nh3 3 aa+fle trgubmerged 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 m. z1,e*koce8op4r)oie rj8 gdass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’p8 ired.k 8*,oozgc1r 4jeeo )sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. T(:ep +a0yvisc7iq6zxo, n ;rj his balloon then is released from rest two meters abo;:vi 0sjcpe( oy6,r7+iaznxq ve 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 /x5ou-vhb5i8q narx(3 qs- st 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 bal-sqq5-8xostv5 b u /i(h3rnxa loons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In one reg,t/7 nfb5rp lvy/d*): xnlmolion 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 speed of the ,n dn5 ):lvo*lyltp/r mxfb/ 7fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing crosgg*97yiq pz sqx c4:/ts section as shown. In which section would thg*q9tgxqcs /y4:zi7p e pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal massyqg, c4 6jhbhg21jit6x*j zs-l, 9kmg but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deeg196thi -m,gbyjj *xg ,s2kq 6z4clhj p 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 bobql owf8v7no(1jn9oahj v 133s)rp9 mttom of a large container of water. The tension in the string ioq39blf hpjjo(sm 1orn nv9a8 v)17w3s 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 inn,wff n bo0ltx0ep4(j7,ymn8 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 of the solid m,t,0y 4ff7(m0nebpnw8nxlo j ass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform dens7x) jfxz.l hm3ss f lc,tse.;(ity floats in a container of water with 60% of its volume submerged. If this same cube were placed i.sj f3,s;zh.x xlcsl m7( f)ten 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 thro5su*jdu 6ueibs 0wkk, x7, 4c-bnin t(ugh a cylindrically-shaped pipe. At the lower end, the pipe’s cr dinkuni(k*bx5uc bw,-,7 0 e4 s6tujsoss- 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 horizonta7q(f*tx xy +yvfb +jj8l streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streamline is V. The cylindrv7 +x(*tqffby8+ xjjy ical, 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 hasi4+:ptfzo *ur a narrowing cross-sectional area as seen in the figure. Which one of the f f+4p ri*ot:zuollowing 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 container wk:c. bw24k etbvt: -i-rif9 kmith 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 containek e2tb 4:b9ftr kimc-.- :viwkr 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 cubic block is 3fcsj2-ory (fy/ev z( 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 b q v0v.ksc/b/is filled with a liquid 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 filled with mercury (densit:814z5ncbpdjajh; ibw :u 3da7rvx x3 y $13.6g/cm^{3}$) 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.