94.17: A cork has weight mg and density 25% of w )gtvz b*pu233l*s xfmater 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 totally immersed in the water. Expressed in terms of the cork weight mg, the tension in the strinbg3* 2lxf* 3mz )stpvug is:

  01.20: When submerged underw8e.z- ehzx 3 grqq4 nu0yq+wpcu1)n7later, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its massgh4q. 70zq)x-eluc8zunynp3 er+q w1 in air?

  04.29: Three fishing bobbers all individually float on t8 j5op* tjcj;* d7xiu.zv.de iop of water. BobbersA and B have identi5 *.epjzv;d co 7it.u*ixjjd8cal 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 displace the greatest volume of water?

  01.18: Which of the following is the best statement of f87kxkj s4+3*o f gvpaPascal's Law?

  05.24: The hydraulic press, which allows large masses to be lb/) vqqi6tr+v ifted with small applied forces, is a consequence of whqbi 6/t )qr+vvich principle?

  06.30: A copper block is connected to a string and sub5 wh*bhgjz1c ko f8;1pmerged in a container of wab zfhcgw*15 p;jh1 o8kter.
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 widu l.dzzik:2rg;vb( fez k.k. 9e. If the atmospheric pressure is l.zuz9f; k(..zrgd :k2ibek v $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% ipoaw b*+5c z8of the object submerged in a cubical tank conwz *b +ipc5o8ataining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron a(pos :)z+ moiwnd 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: oi+m p)zosw( resting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloonn2b t kqayy (,/g9-pnm then is released from rest two meters above the ground on Earth. Which one of the following choice(tk9,b /m-ynq pg 2ayns best describes the response of the balloon?

  16.23: At a party, two spherical balloons arei xh, ,fgt rd72sfwx(06:esxx:4 ieqw expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #w7(q 2s: xst: 0 e,fxri4gx6xh eifd,w2 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 circul i;a0iv e4xcbzvyoz19vs 4*y1ar pipe. In one regiib1; 9zax vvc0*ei s41 y4ovzyon 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 radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a *i7:hicc +hmc pipe of changing cross section as shown. In whim+:i7chic * hcch section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L havel+ph4,mjhx 1k*z4v qr equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a de *hql,zh4 xp +j14vrkmep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connec :znx,8fvl+w oek7) pcted to a light string attached to the bottom of a large container of water. The tension in the strin8ne)k vofp, wxz+c l:7g 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 ox:jqfg )-,jqreads 2.50N 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 wate ,xj-:joq)q gfr. 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 density floats evb dtst.8b)f0e 3)evx) hkc3in a container of water with 60% of its volume submer) ve.bdhtsetf)c3ev)b3k0 8x ged. 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 cylindrical r+ib9p1df /kv3o c(bgf:soy )ly-shaped pipe. At the lower end, the pipe’s cross- sectcd kb/y+spi 1 o9 :3ofgfvr()bional 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 tjx 0 k0/jpkn7d pr9r3sr2(bca 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 I. What is the speed of tjrb d2k0r 7pn0 sjp xkt/93(rche marked fluid when it is in Region II?

  13.25: An ideal fluid completely fillsnk aeh4 jbm5zj1n q+2: 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 speed and its associated press:+5k ejj2nn hzmq a1b4ure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very largo)podr 6 -l*epe radius is at rest a distance H above the ground at the edge of a platform. A tiny hole develops at thep-*6lrd oep) o 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 e0 y+1o:fe xtfblock 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 liquiu/m(s ; rr.cfrz3.bsv d 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 wi/ : w,w.s73r hka-vrbq. vvjroth 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.