94.17: A cork has weight mg and density 25% of water density. A string io7 *nb e.1,daago; qlhs 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, the te1 b7*ahloqo;gda n. e,nsion in the string is:

  01.20: When submerged u0mm-; uoo.wz0*m- h( y7 o0x ioejxdv7;tapidnderwater, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its mass in ej*o.mm00 i-zxp x7(d hwy7di voo;0ou;amt- air?

  04.29: Three fishing bobbers all individually float ) t9ojj,kn)cg.a 8wpuon 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 identical weights are then tied to the bc,)kjno g8). pw9tuaj obbers 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 Lawn7* n out8gku6 bqi bl8y*28jb?

  05.24: The hydraulic pr9q; +5uk6doqqa 9e0y, nfeeozess, which allows large masses to be lifted with small applied forces, is a consequence of which prinnd6qqko5 e9 ,;f9qoe+ae 0z yuciple?

  06.30: A copper block is connected to a string and submerged in a containerltae4(ezf+*,7 h ecjh) st o7d of wateraf)j7s7 d h(c,+ lht* oetz4ee.
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 atmosphei.5zv i6a um)n bb))yiric pressure is avmn zi)ib)6).5uyi b $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg obm1ry :mjh y4;u0o/ gipject floats at rest with 75% of the object submerg0myju p;/mg1i :r hy4oed 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 alumi.d ,jp ood0 ))e;tzvnznum have 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 obj,p.0ojv ) dzz;d eo)tnect experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled witghmyq hz71gtxwxd;u8r 3)1s8 h pure Xenon gas. This balloon then is released from rest two meters above the ground on Ea m7r8 y)sg8q3hxgz x;udh1t1w rth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are wl.f6zc r32 tyexpanded to have the same radius. Balloon #1 is filled with helium l.2w r3ftc6yz 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 horizontal cgw*om s+ 4fo:iircular pipe. In one region of the pipe, it has radig 4o:omf*+wsi us 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 fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as s3te ssdxu 9i.g*mgh4;q)lx1 x hown. In which section would the pressure of the fluid be x x ;t*qg)l4m3uexh gd19i.ss a minimum?

  07.35: Two objects labeled K a ty)ep), a7 esxd,zn(h;.sbm and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swa(ymze xeasn), s;.ph )d7bt,imming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is co1ga1vmmr3r . )or1rmq 8dfrrz,3vja3nnected to a light string attached to the bottom of a large rv3r 8maomm ,v11rzr. 331ga)qrjrf dcontainer 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 block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs from it in air. f0dpc zi3lsgpjy02 8- 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 zy3ip2j 0 d8cls0-pgfthe solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown materias5gxa p yn bk*f)x7w718ji3mi l and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed i5iy x gajf spw 78mk3bn1*ix7)n 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. At the lower q;f6- w --ivakn gxnu d/ tx8zv,q-c8jendkzq;u,w6vqd --at-cx nv -x ij8/nfg8 , the pipe’s cross- 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 asv3wh,f2c 2ig15gnyn h 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 1 5ynnw,c f23vgh2gihof 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 co0hhy5cr/ p 7obqq(fy-mpletely fills 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 to the fluid’s speed5 y7qhp fc( yh0-/oqrb and its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very laro tw1+ p;6ynxkcid )cir2*.v mkz.j5age radius is at rest a distance H above the ground at the edge of a platform. A tiny hole developrv1ii.wnk2; x5c +y dpkzo tmj)c6. a*s at the bottom of the container and water from the container 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 blo (hn8warar 9mij01(q l* ; cw8rtynhv:ck 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 ispgu 2 2ysnpwj/nm3/ z23dn-wv 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 filz y28pb7r 54xpa+fi,+ durbkgled 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.