94.17: A cork has weight mg and density 25% of water density. A strin7pyetihz:u1kl -) q/z g is tied around the cork and attached to the botih1kz:lqu)p -t/eyz7tom 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 mowcatcw576z4dhhfiq8 ssx 10y1bi1 2ass of one cubic centimeter of pure golda1i2s5w1 78hz xci 6qhyt4 0bc1doswf is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of waterp kt ejw8)wl-7. 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 bej) wl e87kpwt-neath the surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following irghczr 0 sq5q4qv,//1 hsk3jps the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows larhwswruc6m84nn -:i)sly l5 - fge masses to be lifted with small applied forces, is a consequence of which pr-w8-mlsf:nwyl 4s)u5h6cinrinciple?

  06.30: A copper block is connected1cs-:ap:wdt(hw c/eza s ;- r4ls5idd to a string and submerged in a container of water. :- c:cass/sedw zp( -wd;ldr15th 4ai
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 atmospheric press1z-n i *5f2k6g5 vfvfhwpid e:ure is fvh-1:wf*k5viniz d56 2e fp g $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% ;,ckbb m)blr-ka sr.7; s/uguusaet3(5i5giof the object submerged in a cubicalub(,7.;uabm ar- )i;5/g 35esc bk sstlkguir tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of ironz 1u3x i0:52 qrbpek(aisqf -t and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pitrfk21:x0q 5 a-ieq(up zsb3ool 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 Xenon gas. Tc zz(- .yhw9rs-g-yloodnp 1hc(-8omhis balloon then is released-s9(lyc cp -ord-zhgw.-n (o18o my zh from rest two meters 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 a c+pfz6rjg5 x bi,p.j7*8icplpzpa3;re 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 thippfcc3 56,+xppp jrzlj8z.7 b*;ag ie buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipa:1s/ y9xkvxl e. In one region of the pipe, it has radius R. The pipeya1:xxk /v9s l 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 a sqcwtp zu duk;p9ifh87 y+;k;hh00b-s shown. In which section would the pressure of the fluid be a minimum?i;k 8wq;u 7h0+ cy- fp hbt0k9uds;phz

  07.35: Two objects labeled K and L have equal mass but dt: 57c jgr-j)je49 ywghuf(shensities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the bu(r9hjhjs):gu t-4jf7 e ycwg 5oyant forces acting on these objects?

  08.16: A block is connected to a ligh2t u/.ok 5ioaxt 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’svooo.k tx/u i25alume?

  15.30: A spring scale reads 2.50N whepes3 n+is9am fr3 9bd)n 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. Whic pib3de+ ) 9srfnm39sah 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 7eoof 1x-;u yadensity floats in a container of water with 60% of its volume submerged. If this sam e-71fyoux ;oae 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 c gr.bxc.eu)p0vw2n +9eh( fwpylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional ar +f 09)nw.gpbwcpeh(xuver. 2 ea 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 move kfdsth.gw 4*a/;yk/z s 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 cylindgks;zk.a/h* d4 fwy/ trical, 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 completelxyn /zb36jq8l)u. pex y fills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best qxlnzj8 ./6ubye3 p x)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 large radius is ags+ 9 nhxfsivs09tv x5w)12bki 8* xbet 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 squirts out horizontally landinx8b b) xxg 2ivek0 *vftsh+95swns 9i1g 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 bloc+, placfhd i+5g s:*lxk 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 poom2bof7 lb q,n(l 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 filled with mercury:* (wvj2s(lvxagg w7q (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.