94.17: A cork has weight mg and density 25% of water density. A st1 gnhr;zj3w+ 9ehttvv8y +.met2nvx2ring 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 th;vm2 j.tne+r3t2ge8vt1zwvhn+ 9 xyerms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic centimeu5psj)xd1 jj rqa60h. ter of pureu q0x)hjps5a j1j6dr. gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bl4 t; tvvxxf,lsmx7*c)qu r62obbersA and B have identical masses ,sx 4xl q;u ftm2t lr67*)xvvcand 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 state(:yf qi vu2 u ehd7yl8vwm9f+:ment of Pascal's Law?

  05.24: The hydraulic press, which allows large masses ti0z 1h,6vbp l.fa :vroo be lifted with small applied forces, is a consequence of which principle? p,o h:06r1lif.vza bv

  06.30: A copper block is conne/9tgdn+ mqh; -fu* gqfcted to a string and submerged in a container of water.dunhmt g9q fq;-*fg +/
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 atm ah8i p07xl ,k;ubzf/mospheric pressure is 8 bf ; mz,likuxpa7h0/$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 7ahy0 .x7i/nz k/m vyqx/29npnu gk1 r:5% of the object submerged in a cubical tank containing nq.z 21/n /rvm9:yx a0k/xpky hn7uig $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron anxnc+6td)bd* +2v jwikx n. tw6d a solid cube of aluminum have equal mass. The cubes areplx x j6nvdwni .6 +*+dw)2btkctaced 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 water?

  12.21: A child’s balloon is filled with pure Xenon0y bdutx3*,r+ ha*yr;t4 kmdb gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the respoy,btrrab3 h;*kud d 4m+t0y*xnse of the balloon?

  16.23: At a party, two spherical balloons are expand)n/rmaeehd /5h2dw u .ed to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the followih/ me/e d5r dnh2.)wuang statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long +qlybj().iuy f ks5drjlo 2 m1pa 0j7ml9d.,jhorizontal circular pipe. In one region 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 ra+(irjlj a1ujy0 mkp.od 9m yqjs .7b,fll2)d5dius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forc**9 c/g i xb+xvivbqm3ed through a pipe of changing cross section as shown. In which section would the pressure of txc+bm/q3ig 9i b *vx*vhe fluid be a minimum?

  07.35: Two objects labeled K and L have equal masdsq+h/;(0vw v n(m kfps but densities 0.95D0 and D0, respectively. Each of these objects fl/ fvnwh 0s(dqpm;(+vkoats 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 a2 ln8az9crd e4 light string attached to the bottom of a large container 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’svol cndlerz248 a9ume?

  15.30: A spring scale reads 2.k2e pvsp 3wl(e-)ezp(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 water. Which one of the following choices best represents the densitye(v3l)pzepw2k sp- ( e of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a cw/v+ltab6; gdontainer of water with 60% of its volume submerged. If this same cube were pl6gald/ b+v ;wtaced 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. At the xqr: wnc4/k7alower enkqx 7aw/r:n 4cd, 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 fluj93(z)bijj fz/fle /th3/7sp- wt kjbkz;nk :id is marked as it moves along a horizontal streamline through a pipe, as shown in the figure. Insk;/bzf)(w3 /jzbe79 j tn:hpjli3 kftjz- k/ 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 the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a sxef f ,3w,mbt:mall horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best descri,, tx:wfe 3mfbbes what has happened to the fluid’s speed and its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container wrjd55hxfm o n3sw9 ,nmj):p f3ith very large radius is at rest a distance H above the ground at the edge of a platform. A tiny hole develops at the bottompo3ws5hd)rjf 5 mjm ,nx:93 nf 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 bcihhdrz )9-8zq.uiesr8io 54lock 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 lapgg)ix ;b-- 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 mercuryp6:gciw unqe 7s/pxzhi) 1f/ e.(6mey (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.