94.17: A cork has weight mg a6/ enm n(3jsam t:x;d dw+/srynd 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 figurjy+;m6r3sd nsne/a(xd/t : mwe, the cork 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 ofr :0/ato 7d-3 i- f(keaxfiiqr +ptj8b one cubic centimeter of pure gold is 18.3 grams. What aoqt r fridi7i8atf 0-+/-3jeb (kpx:would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of w,d gc pw6r1pcu(5usg 5ater. 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 bobbers and all three are pulled completely beneath the surface of theg 5p( wdcuups,6g51 rc water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the besps ax9b c*0hd8( vgk1yt statement of Pascal's Law?

  05.24: The hydraulic press, which allows large mas bnbsbbf ckf11mk7* gz .pklg6m9 s5)+ses to be lifted with small applied forces, is a consequence of which princzb5b1p sfg+gk1.k9sl 6mn*b7fm)b kciple?

  06.30: A copper block is connected to a string an qtre 78f4a(gfd submerged in a container of wat(q47t ffe 8rgaer.
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. 9.4ik0iotw h, xenx 2jIf the atmospheric pressure is ki0ehx, w.2i4 tnxjo 9$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0vcbc yi)1je(ao3r (x ( kg object floats at rest with 75% of the object submerged in a cubical tank contaijb3 c1oy)i((vrc(e x aning $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube or8m il0f/w x+nf iron and a solid cube 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 poor0f l+8x/mwin l’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. Thi3 q qr ua3p;gx+nc)uu.s balloon then is released from rest two meterscaqgu;u .u+ xr33 pq)n above 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 haverhm-dc o84y* n the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one ofm-odch 4yn *r8 the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circu-9noa 1rk6 ttular pipe. In one region of the pipe, it hastu rok-a61t9 n 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 fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as s y3 thht3j)albc9u *9uhown. In which section would the pressure of the fluid 93t tj3uy)ch*b h 9ulabe a minimum?

  07.35: Two objects labeled K and L have+ e(0tv9wx*22a ouoc:p zi:xw y7k sno equal mass 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 oy02 2k:osi ux(wa *v xeocnow+z7:pt9bjects?

  08.16: A block is connected to a light stpt2q g0e* hh,oring attached to the bottom of a large conta h,0o e*tgp2hqiner 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 sbq+( x g.dkwy2mall 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 followib2(+ wx dyqg.kng choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a +kcuxh)/i; ,sh ho ma,container of water with 60%+ k) hui,mx;a/hso, hc of its volume submerged. 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 cylindricallyiz/ e jn(,am6f-shaped pipe. At the lower end, the pip, izme6 a(jf/ne’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 as iti).pj/jg)*8spi7+/a;+z zzx/a d e bvbbgew l 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 ce gzl; v )/e/jbdz+)+*ibw x/aigbpzas7p8.jylindrical, 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 qr4ql b e*h)dch52a;o 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 speed and its assocl5;qa *qe )bochd2h4 riated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radi w/hleu)-gqtv2v i 6rp ou9*5zus 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 squirtsr-z/ vugl*v5qo)utiwp 9h e6 2 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 bnw(6p:- vg(bjoq 9fab-v u z:jlock 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 g:-h3 i obcrf9a 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 (density +sa 0-+/fxghdm hp2,*jyxihq; h j9wv $13.6g/cm^{3}$) 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.