94.17: A cork has weight mg and density 25% of water density. A string is twq9ko*k5i1bb7k e t 8tied 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 m ibe qtkt 1bo97kkw5*8g, the tension in the string is:

  01.20: When submerged underwater, y fo m/35crfp)the apparent mass of one cubic centimeter of pure gold is 1mf)/ cf5ry3p o8.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bpjman 3m gbn*ilbl5 gn- , 2m(+w.iva/obbersA 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 are then tied to the bobbers and all three are pulled completely beneath the surface of the water, which bobber will displacmnnp5b.vwa,/j32nig*-b ( lag im l+me the greatest volume of water?

  01.18: Which of the followint npk ar o4rn,sl )vc98:1 qys7,hu/syg is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lif 5;vg0 ydbya17gp vl.nted with small applied f0l.ygyd npvg b;5 v7a1orces, is a consequence of which principle?

  06.30: A copper block is conneekk9j: c0jc-i cted to a string and submerged in a container of wac0:ciek-9 jjk ter.
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 pressutmn wa,uu a,1m 085xwnre is auxu a,t m0mn8wwn,15 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% of km,tm3o px 9(zutef3a)jw:)vthe object submerged in a cubicafjvae uw,3tmz k9m):t xp)(o3l 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 solidl,( -fhdtmm +r3nndyk(5/ xac cube of aluminum have equal mass. The cubes areplaced into the same large pool of wat+t fdyk- l3a(md5rn ch/ (n,xmer 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 purei l hon 96(s5ogez*;wo Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the respo sl56h oi(9owz ;ne*ognse of the balloon?

  16.23: At a party, two spherical balloons are expandy;vufh k.k(f. ed to have the same radius. Balloon #1 is filled wfhf(.vkk; y .uith 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(6fr ;k7nqxut dq cz08 horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2f 7r0n t8q;kd (x6zucqR. 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 throsc ru3oxmbo-t/4p z7 )ugh a pipe of changing cross section as shown. In which section would the pressure of the fluid be a minimuxbp73 t)-r mo4u/ ozcsm?

  07.35: Two objects labeled K and L have 6r2)2bq edk9gcyqxse ;p*gt2equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool.bs2gte2 ;k gc96pdyq ex 2q*)r Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string atta6ulxnm7h4n py g)1c jr0:7swmched 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 bloc:yn mjghwx74l76 u0r1 )mcnspk’svolume?

  15.30: A spring scale reads 2. ugs.(z9 2 kml5vsa* ;+rxfvec50N when a 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 container of water. Which one of the followingr2ss+m(zuf; .vcgk av9 lex *5 choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and unif/m6noo:*2 2bwgi fbr korm density floats in a container of water with 60% of its volume submerged. If this same cube were :fr 6 wno2*2b/b omikgplaced 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 pipexdsk-, ak5w;s d dv3d:. At the lower end, the pipe’s cross- sectv3 d :-ddxk ssdw,5ka;ional 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 horizont i vic6 7b.n(ifgmw8z/j)mhv-al 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 pipevg(-ijichfw zm /87)n6 ibv m. 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 hafd w0l v7m2k1rs a narrowing cross-sectional area ar27lwvk0mfd 1s 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 cylindrip v0,,k7pn f n7tnar6bcal container 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 6abp 7k ,7v0nnptnr, fsquirts 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 , tgxyy ,.5mvql(h: a0eg my6asolid 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 is0n9 3-gwvxvrc 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 fill0ftffo3y4t,m hfp 6qq+rr: z 5ed 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.