94.17: A cork has weight mg. j 2u or4wk,1sgkl aqu)j/jl; and density 25% of water 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 cor jo)uk k2.lrls ;uaj/, gq41wjk 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 mass oya54:ivjop (8 xy wsvs at /gh2k3t4s+f one cubic centimeter of pure gold is 18.3 grams. What would bevwa 4 sjytsyh8 p2+3(ao/ksivxt:4g5 its mass in air?

  04.29: Three fishing bobbers all individually float on top0hqvaxev+wywm3)dk oy, yy8*8z.r m 2 of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical sizes and shmmow +ezhw2 v 3y)kq 88y*r,xavyy0 .dapes 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 statem4a w 46rycy nk..o,jcrent of Pascal's Law?

  05.24: The hydraulic prehhj i5s.9h tiz ,aa8ub 7(gfb 6avr,5zss, which allows large masses to be lifted with small applied forces, is a consequence of,ihfhr8ti(j 6auzvg,b5a5 7 a h9 .zsb which principle?

  06.30: A copper block gzi;m.24djzuw y;oek+ -kft9is connected to a string and submerged in a container of wu+f;; eodwt2kk9i z-zm4 .gyjater.
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 ankqbp0n2s i;f4r,0- avn5 ud ibd 5.0 m wide. If the atmospheric pressure is sfriuv0a4nb;k ndib-0 qp 25,$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg oajhyj+ --7akb bject floats at rest with 75% of the object submaabyjj+ 7- h-kerged 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 cu wov. b.w1ce4kbe of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the wow. bckv.4e 1pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s ballooel3k,: a vby5o ,3nhphn is filled with pure Xenon gas. This balloon then is released from rest two meters above3blky5nv:p3, h,a eho 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 b3cwd bpc )e 7ixmkl;j5 n9,w8same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the x38w;kcn5wme) 7pdbi9b cj,l following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flo ujif)6x ce7g6woim3;x7z 3tq ws through a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. Wh7eg3i;o jfxwmx t u 67cq)z6i3at 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 crosvz*ppw0qm,)0vp/h i n 5fyp* zs section as shown. In which section would the pressure of the fluid ,y0 pf w5p vznvm0hzp *q*p)i/be a minimum?

  07.35: Two objects labeled K and L have equal massh,lzt.mjxcp y.aty 8:+y5d5fm z(nxj n-,jn: but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objecyn xxamj yftm5 j,n: z58(+z t hdcyjn,:l.-p.ts?

  08.16: A block is connected to a light strin tjerugis,++52q.fo cg attached to the bottom of a large container of water. The tension in the string is 3.0 N. c+ 2j.,fs tqueogri+ 5The 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 mas.;hr7e*3f pmyn(; 8aopug4jgiqbc +ss hangs from it in air. The spring f jcms4hy ei app8.+( ;;onqurgg7b*3scale 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 mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and unifocvt 48v;ommf ol0dnt3(e ,1j h5fok shv8-*hirm density floats in a container of water with 60% of its volume submerged.j8ovch10,;8ikm 5oe3h 4tv*fv-mdhn to(lsf 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 a cylindrically-shaped pipe. /3gml/ qf. hz ec5mr:nAt the lower end, the pipe’s cross- sect35: hl/mermg /cqz. nfional 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 ideww ys)jkyyuq(n da-kpn hknv*)67- 5/al fluid is marked as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region I, the spee*-y aynynwkq) 7/ n65v-j(dks)w hk upd 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 the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fil y gj4g5kkvw9)ls a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happened tov w59kk ggy4)j 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 largef7*- ae5 ellii 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 from t-7efili l*ae 5he 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 /r*15smurs 5y+ oeflzsolid 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 having a densu px(6nv )v,hi3xy/ yv3x7l beity 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 nql+*f/unrp9(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.