94.17: A cork has weight mg and density 25% of water density. A string is tiedkx4p kehj)2:b : e;hve around the cork and attached to vb; 4e2pxkk j hehe:):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 string is:

  01.20: When submerged underwater, the apparent mass of one cubic cen7fecf+i+y 2rss7/9 jr7 jx rp0 6zdkzhtimeter of pure gold is 18.3 grams. What would be its mass ji 7zj9c02xd7hr/s +ez+k6rf 7 syrpfin air?

  04.29: Three fishing bobbers all individually fqz 34* mzk:qxnc+q h eu;u7cm8loat on 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 bobbers and all three are pulled completely benezqu cumze 3:q* +qxmc4n8;kh7ath the surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best s iqhiy/uhn,3 .tatement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be liftenv7 pu vc 5*70zyau-ped with small appli y757*p-0vvuzpauen ced forces, is a consequence of which principle?

  06.30: A copper block is connected to a string and submerged ij , +0yh s 7yz)jwq,fjog2/lqp(e qh+in a container of water.y 2 w0e/qq++jspfjyi)7(q, zgj,loh h
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:ynpr47a x:g z m wide. If the atmospheric pressure is 7ryxna :g:4zp$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kguqqbx.+ 3k* yl object floats at rest with 75% of the object sxk3 yql.q+bu* ubmerged 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 aluminum have equal mass. T zyzy:yoam,+xa eit+h 4 0lc)+.uh0ushe cubes areplaced into the same large pool of water so ,h :h0 mx0)yasc +4y +azly+ezuuiot.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 w aqd(1dky)- 5ge rc2icith pure Xenon gas. This balloon then is released from rest two meters above the ground on Eq125acyg d)k(-ic rdearth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherig;:-36xm t-3udplnd .w 3otcrlnku *2uasln5cal balloons 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 following statements about the buoyant forces on the balloond *.koncus ru-tpll un33aln56t-xm2;d :g3 ws is correct?

  03.36: An ideal fluid flows through a long horizonz0p x(bx 01zlptal 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 radius R to the speed of the fluid in x x1pz0 b(0lpzregion with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross sectiot h(z6fwjed0li:/)h dn as shown. In which section would:lzij/ed h f0)wdh6t( the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal masswi4q,6)0xpa mfz gr8fmzki 5 4 but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown i 4gx,0)mi6zw k4fz58aqf pmirnto a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a lul:ceb 2; ec)+m-fcne p5c9 keight 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’sc e9:uk-bel2)e;5 cm pnec+cf volume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs from it in dtjfq,yzcwv e o524m19+*qk:ul 0i ufair. 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 the uk4q:f +*z5e 1iol f 2qmy9wv,jd tcu0solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density 4ol ncxd5 kj53rt9yz6 floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil zn5c9j6t5k o4yl xrd3 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. Ai s:yh8e bct4/t the lower end:sic/bhe8yt 4 , 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 anrgton/9h0:qc ideal 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 Regi9gr:hc 0 o/nqton 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 horizontal tu-mf97t9 +)fk n(v ,src u5-avn+m knh1zfcjesbe that has a narrowing cross-sect cau)sz95 km+n vj ns ev9+fn7,1-k-crffm( htional 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 the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very largex qv-raf5svd/m0,k ;j1u 9lyn radius is at rest a distance H above the ground at the edge of a plat0 j/dlkyam urfs,1nvvxq; 5-9form. A tiny hole develops 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 block is given a+9vh-kbqc6jp7, k f yrs $ρ=0.750 g/cm^{3}$ . 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 polhh 88/q: i7 8akncfs+ 2ts(3h6kue jkzp.aquol 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 fiw kym3iwba 5 ze;blw0 ux;f*yj* 6z2+tlled 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.