94.17: A cork has weight mg and density 25% okn-bhzz r2/:l f water density. A string is tied around the cork and attached to the bottom of a water-filz 2 l/-r:hkbznled 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 centimeter o9u:fs5m7aa in f pure gold i 5s97if:nu aams 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers ac4+c9l *khy xnll individually float 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 identh 9xc4y*+nlkcical 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 stateoc /2qg7cx a*mment of Pascal's Law?

  05.24: The hydraulic press, which allows ly/bs m65pmqls,+; l ktarge masses to be lifted with small applied forces, is a consequence ofl+btmlp6k ;,q5s/ms y which principle?

  06.30: A copper block is connected to a string and submerged in a cok// s/xw8 -x 5hbtiiulntainer of watek / xx-hi/ bi8wsul5t/r.
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 acf q*ntnjv.2hrsmauss 8d90bp;b-fj+w6./mnd 5.0 m wide. If the atmospheric pressure is 8h /c dpr a0.fjfsw 9*m qbnjbsuv s+2-.mt6n;$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg obel z3.k4 je9+inkv,kx ject floats at rest with 75% of the object submerged in a cubical tank containijx vkzi.9e+kk4 eln,3 ng $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of aluminum hah*f pdjxg7qo9d).l b-ve 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 objgfqdd.b -hop9j*l) 7xect experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gasd26d p pgm,9t6yiubw /. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices pywd6piud62, bt /9mgbest describes the response of the balloon?

  16.23: At a party, tws3 ghc8 zvowwkb7(:- mo spherical 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 buoyantvzw-(wok8mcg3 7bh: s forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipas n0z3pc as30, mxde(e. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is then 3ce0mspd a,s(03 xaz 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 u-slq0rxoup1m300 +e tq; +ybc0orlq changing cross section as shown. In which section would ther emtp0+oxy031ucq0r0u+-blqol s;q pressure of the fluid be a minimum?

  07.35: Two objects labeled y-j8 9h,: 7 ae9tuvf .otwr,eourt+e5orw7af K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after bein,tr+ oae wa98u .h5ffwt :7ro,9yee - rj7tuvog 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 attached to the bottom of a lae ojcqq4z u033 /l.hmlrge container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the block is .ejz03h4oqc3um/l l q5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a smac96onf9 p,z h* j m:qj*biqqxk)gw8w3ll 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 o 3i6b *, pqn8whwjz:fqo9cj)gkx*9q m ne 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 floab6l*qan1mib 8ts in a container of water with 60% of its volumeb n18 mi6bql*a submerged. 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 throure-lcd) b5jty :gqf34tsq-d 1gh a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sect- 3 e:yqr gd )4csftt1dj5ql-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 a hj+a9-yzj gz6lorizontal streamline through a pipe, as shown in the figure. In Regi zgj l+-z9y6ajon 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 small horizontal tube that has agk-m(zbtgm qk.7 5u0 h narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happened to the flu(t0-5zgm gb7.kmk u hqid’s speed and its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very lzm/ 9f;k g3x87kmsibb arge radius is at rest a distance H above the ground at the edge of a platform. A tiny hole develof/;b7kgs9 ikzb x 8mm3ps 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 oqll*dm ur.m tq+:qw ((f a solid 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 swimming pool is filled with a liquid having4 7+mcepick j6j/ su7c 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 withk;*jysy3cg o / 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.