94.17: A cork has weight mg and density 25% o/.f- ct.j re-t yp.d5 aok+hhef water 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 string is: +djet-./y t- .h efkp.ohacr5

  01.20: When submerge;lrs6kp8ok,yn.;t nt-jk 5jgd underwater, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its mass inro,ks.pjklky6jn;t; ng 85 t- air?

  04.29: Three fishing bobbers all individually float on top of water. BobbersA am;ipg0 *bc2t5q mt+ev nd B have identical masses and densities but different shapes while bobbers B and C have identical sizes and shapes b+ *qgim;2t0t5 bep vcmut 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 Pascal's Lawph+v61j cl.ix?

  05.24: The hydraulic press, which allows large masses to be lifted with smalghs8 b4hxo1h8l applied forces, is a consequence oh48o ghsh8x 1bf which principle?

  06.30: A copper block is connected to a zosnx :l8 9n);uw nxs1string and submerged in a container of watersl)nx x;1oz :9nn8w su.
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 x a/w ;j;qeu0c22.0 m long and 5.0 m wide. If the atmospheric pressure is u;cj eq x0/w;a $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest 1m 3v:l.4 pucpf5k90vaxac*3aaim pz with 75% of the object subpa k*v:m41lpi3maux03 a 9a. 5fcv czpmerged 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 66 x b1s3uahlsj2f ee+have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object experiences thefab 1se66je+ h2u slx3 greater buoyant force from the water?

  12.21: A child’s balloon is fillxg+4h :xqy3 hwg+-yr ked with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which on w3qgg +h+krx4 x:yh-ye of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are exp 8bvr v17gn9ijw8(oow, 6csx fanded to have the same radius. Balloon #1cxir6og (wj 8o98bw17snvf , v 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 balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. Inf/fh 0rh,amuwr5 31w h;zts4m one region of the pipe, it has radius Ra,4/ mturh3h;h 0rw f5fzws1 m. 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 )v94u dl6lcrmo 69vvmr a 3tsk ;4o2fhcross section as shown. In which section would the l9vd;v6vsurtcfo o24al4 63 )m m9khrpressure of the fluid be a minimum?

  07.35: Two objects labelezjt;l v-+gl ,dh,kb q+d K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after bei-tll; ,qv,hj++d bzgkng thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string at69t,qy tr01lsiw fsb+tached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational for f,+iq1r9ys06lt wsb tce from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale re ckiv09srp;/ar*k q+cads 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 water. Which one of the following choices best represents9rc;vi0 cp+r ak*/ sqk the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and unidtn6atbv4 4g )form density floats in a container of water with 60% of its volume submerged. If this same cube were placed in tnd 4 )a4t6vbga 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 ly 3j+*y ici4o7bvcp:yower end, the pipe’s c+4y jb y:ociicv3p7 y*ross- 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 it moves along a horizontal str2g pzwvdds036 eamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streps dz20d63 wgvamline 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 small horizontal tubqz3stbm:888d(fx lt8sq 3n age 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 pressure in the narrower regi(st : sm 8axblnt 3d83fqg8z8qon as compared to the wider region?

  10.47: An open cylindricnonxr u5vgz 119( 6ddtal container with very large radius is at rest a distance H above the ground at the edge of a pla5vg1(ddu x9otn 16 znrtform. 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 solihg( 67 h5qplgld cubic block 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 swimmingquf 19k eg5;wrpwl5rge:ls6 ( pool 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 (densi.5 5uxojl -wmmabdhc* t;e9 y5ty $13.6g/cm^{3}$) 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.