94.17: A cork has weight mg an k45ke 70gv3ehbctq-nd 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 cork is to c0 k543q-7nhteg kvbetally immersed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwaterxm(8b: /w.tl x nn x*cy6 :jx7rq1ewlc, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would 1:nwrx cxb:xn *y67m8/wxlt. qc(je lbe its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bobbermn3.,s tv*xw jbl5 /kesA and B have identical masses and densities but different shapes while bobbers B an vjwxln/*5b3. ,meks td 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 foll; 8dkjos wj-+w0j5 cobxkc(2g owing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted wu 6ouwkj-alu;6qg(1b ith small applied forces, is a couq- a ;1w(u6kb u6jlgonsequence of which principle?

  06.30: A copper bloci7 ft o xzi-57md2rs)uk is connected to a string and submerged in a container of water. iz7d7 2-xu5o smr)tif
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 vn -(oks(elxa *gl:m1m long and 5.0 m wide. If the atmospheric pressure is :v ag*k -es(1lnm(xol $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg ob -)t /1.q,x hzlnb+8maiq6swzigmge : ject floats at rest with 75% of the object submerged in a mw ita:+qlsq-hm/ei 86zgbg )nxz1 , .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 hd6qx (+cnmg* gave equal mass. The cubes areplaced 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 wamq6+x*gg d n(cter?

  12.21: A child’s balloon is filled withr z-om*f) .6ee1hmzk s pure 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 respons6z-h1*. s) femoz ekmre of the balloon?

  16.23: At a party, two spherical ballopzcqc /i +xql2jw;e 56w +j9x d0(dil55vdxwvons 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 fowl 2icj; xjq0+5dqwlcz 5+6 d(w/de5x pi9vx vllowing statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In one r ox42kdpg0b)e egion 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 g pxb)ok2ed4 0radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as shx*sd h-dq;dyj+ /ubn3c n13i qown. In which section would th;- dnu1 +xqd3n/q3d* hjibcs ye pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L hafs7gr 2z+-jt 7bhnml qbc 10/wve equal mass but densities 0.95D0 and D0, respectively.2bgrj - tbnq07 h+mwz7 /lcfs1 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 thepu u6x 9 /5r5evd j4med8zkcx) bottom of a large container of water. )6xz9ecu k rv45j5e xmdd u8p/ The tension in the string is 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 ha/12r5w*eux 2xcdtn mkngs from it in air. The spring scale reads 1.58N when the mass at the end of the spring er5 d21cunx/mwtk2 *xis 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 uniform densn9 fz0w44iu8ty*lqin ity floats in a container of water with 60% of its volume submerged. If this same cube were placed in a i 4 qzntn498u*fwyl0i 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. At xr ,brm68 cn/.l;:o .* ng/vbngv aetythe lower end, the pipe’s cross-.lxcyg vn/ /oem;br a68tnb:ngrv.,* 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 idealjfqj4):o6vhj fluid is marked as it moves along a 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 )qvf4:oj hj6 jI. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontab, dmd l(t-gm8l 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 (d8,mm-t g dblthe narrower region as compared to the wider region?

  10.47: An open cylindrical container with very lay j1b kpvfan 6/s ut j3f k+jgcyu:,m3f/(p*7prge 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 p/pgyf6avtf ,unfuj * 13bjk7k(s +3/:cj ypma 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 blocgc-*v 4l o+g1fgv8axb5 c)sskk 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 swimminds vt7.z6j7 fyg pool 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 mercuvs-awxqx )elxz sge3(.x0:f0 ry (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.