94.17: A cork has weig5mc pew8cxb-s+m;d 0pht mg and density 25% of water density. A string is tied around the cork and attac-+;x wp85 esdbm0mc pched 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:

  01.20: When submerged underwater, the apparent mass of one cubic cev 9fk.clfwe6r0 3 be,entimeter of pure gold is 18.3 grams. What w vbklce9r36.f 0w, feeould be its mass in air?

  04.29: Three fishing bobber7fnp)h *r+-cgtn:9c; mq2ygq. cau ijs all 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. I ch*:gqr yi) m 9p.-2 tfqn7gcucj;an+f 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 follow gch1gr5/hg,2ymj9eu // dsfse wir*-ing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large mastkrlq t,s 0j+.ses to be lifted with small applied forces, ist+. 0jrtq,kl s a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in png6j2vq 1n 7f z nuj:a7k8q,ia container of water.ikf gn j:a86j1qpu7,nzq2 vn7
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 rgj -w b.,9y1kz :qarupressure is qwj1kz y9-:brarg . ,u $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 t/5j8cpob tm; kg object floats at rest with 75% of the object submerged in a cubical 8 t/t5bp; jmoctank 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 havk:pn3mdaqnw kl)2 3uy2 1(fpwe equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbotk1mlpk:adw p(n3q2nw2y)3 f utom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. 5 )rlb-)tpjgv This balloon then is released from rest two meters above the ground on Earth. Which one of the following choi bgv5j)t) r-plces best describes the response of the balloon?

  16.23: At a party, two spherical balhg vjsw*cy8ddizw+f) i0/kio ui*9+4 loons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xeno+9oid*kg *hsi0)4j8ii+f/ dvw wzyu cn 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 pipebow-*k s+kgk ,p5j;b+6dwtf g . 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 region with radiusfw5kd tkb +,w+ jb6;sgkg*-po 2R?

  04.24: A fluid is forca9v(gc3:c s ined through a pipe of changing cross section as shown. In whii:s9cc a(v 3ngch section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L0qu pv,ktttu t6z1x2 ( 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 about the buoyanxz(t6t12 vu qp0ttk, ut forces acting on these objects?

  08.16: A block is connected to a light string at2 gkc,k8g v..hbnv am(tached to the bottom of a large container of water. av8 ,b.h(2.c knkgvmg 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’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass haiviqz 7o q61*tngs from it in air. The spring scale reads 1.58N when the mass at the end ofo 17i*qvtqzi6 the spring is completely submerged in a container of water. Which 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 density floats in/,snkhu:1 zox yo6s 7u a container of watenu o7/kuyzs6:hxso, 1r with 60% of its volume 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 4hs1jse,d at 2 uy0jbrrk/)a 1through a cylindrically-shaped pipe. At the lower end, the pipe’s cross2 /etjys)duj 1 01,4 sararhbk- 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 moveyj6;7j u s;wrzs along a horizontal streamline through a pipe, as shown in the w7u 6;yjj;rz sfigure. 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 when it is in Region II?

  13.25: An ideal fluidu 6cmo*(ymdevqs9z2 0 completely fills a small horizontal 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 20eco(y* 6zsuqvdm 9m in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very laren7 p,a ei4xx1ge radius is at rest a distance H above the ground at the edge of a platform. A tin , 7px4exn1eaiy 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:ludth 5m9n8c 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 ,6328hhltvfd4 jpy: u)v zhtlis 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 (densioxbf fs4 *d 7wfm)1fx0ty $13.6g/cm^{3}$) 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.