94.17: A cork has weight mg and density 25% of water density. A string is ( h:wcfnu/4getied 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 weechu(/f gn 4w:ight mg, the tension in the string is:

  01.20: When submerged un ceie/+a:uhob +g9vl9 derwater, the apparent mass of one cubic centimeter of pure gold is 18.3 gioebuvcla+g9 e9+ /: hrams. What would be its mass in air?

  04.29: Three fishing bobbers all indsql/,q3 )rvv pividually 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 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 greates3/vq)pl ,rq svt volume of water?

  01.18: Which of the following is the besph,xi97*l 0zcqx:l8eu cy m2ut statement of Pascal's Law?

  05.24: The hydraulic pressamx;v on, g1x+mt0 vh*, which allows large masses to be lifted with small applied forces, is a con*0gxtm m;hox,v1 na+v sequence of which principle?

  06.30: A copper block is connected to a string and submerged +tcqwo4zjp5 ;in a container of wq 5oct j4wpz+;ater.
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 lljo;+8g1kd z wong and 5.0 m wide. If the atmospheric pressure is w; j+ol8gdzk1 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floatj b57.x6wdd igt-ik7 ks at rest with 75% of the object submerged in a.xijwbd ditgk 6-7 5k7 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 eqk m1/ ,7 tfngcoi3e(moual mass. The cubes areplaced into the same large pool of water so that each is completely submerged f1 o(mkg/oc7m,3 itenand 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. This balloon then d)jq2 hq;-i bqis released from rest two meters above the grou)b;2qqh jqi-dnd on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radiu2ntwxncp 33h) s. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about th3t wnp2)3hncx e buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a m aw:j uv7f; kyfp..5w7 xep81vncx6i long horizontal circular pipe. In one region of the pipei fmp y.k1nx.f:v; jxce8u aww 5p776v, 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 region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross sect,p-zz,rh pj /lbf:k,xm1 a5 rsion as shown. In which section wouf,pr,xb:zk-as 1, l5pj/h zmr ld the pressure of the fluid be a minimum?

  07.35: Two objects labeleduu( fwo r kh1zf* fh9:lme4dweuq-765 K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true azrkoe hm( 45*f19wql7fu fewh d :uu6-bout the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attached to the bottom ou;nv hb,u43fj.j ;j cm rx0tn+f 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. .m j+v;,tr0ufb jhu;nc 3nx4j What is the block’svolume?

  15.30: A spring scale readpvo+mz dwub4l:s2 /5vvio h+6 s 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 represents the/hm2b uldzv+vp s+v5o :iwo64 density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown matej3tzv+a iyuq8d1eb8 8rial and uniform density floats in a container of water with 60% of its volume submerged. If thjaz 8q 8vy+d13utie8 bis 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 throkvz31+q xzy:xugh a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectiona1yqz :3k+ xzvxl 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 s 5.cv0xayeo+m (o7rqlv rymx/75 c6was 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 Region II is half of what it was in Region I. What is the speed of the marked fluid x. 5oeqywvrxm0r 5+vc7sm6l(oy ac 7/when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontalju :).)inbhvp tube 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 regphn ju ):b.iv)ion as compared to the wider region?

  10.47: An open cylindrical container with veryhmxc*h1. vd r* large radius is at 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 squirtsv*hm.1* hr dcx 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 b6 bptl*,w6345zcj zjnjio/ e nlock 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 fille ace3.gfghw;8qyov174q, eme4zc q9fd 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 ib, a9e9wx hym, :+wij(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.