94.17: A cork has weight mg sn9w4(on04 bgh. *hwtdha d3o and density 25% of 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. Expressnw* tdh4o3(0nawhd.o 4sb h9ged 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 of / ud2lb-hwjm; pure gold is 18.3 grams. hl;wdj-bum2/ What would be its mass in air?

  04.29: Three fishing bozmev )z2w qh:9c3(cv5f gd vi,bbers 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. If three identical weights are then tied to the bobbers and all three are pulled completely beneath the surface of the water, which ,)zvz igh d mvwc5ef3 (vq:2c9bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal's5j81,wnpyuxec:s 8z fls uo4 :7 u(ucf Law?

  05.24: The hydraulic press, which at c6u ig);z*vjllows large masses to be lifted with small applied forces, is a consequence of which princgt6vju ) c;*iziple?

  06.30: A copper block is connected to a string and submerged in a container ofm v8eg d-z+;ldkq p ;l1,mnas. wate;+zvdg.,e-8kn m1alls pq; m dr.
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 pressure is,u tv3 ;eazl*n z lt3 v,;enua* $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at4yak-pokw0 r) rest with 75% of the object submerged in a0) wokp4 -kyar 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 cu*ho/ 6dhs9d fuiun; muy,xb6 )be of aluminum 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 the greater buoyant force fro6 h*u;9 xbomus,/idyd fn )uh6m the water?

  12.21: A child’s balloon is filled with pure Xenon gas*2upog q/1 uve. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choicesgou 12p/* evqu best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same rai ru2j,fs (:p+f-)lvnx l ghv7dius. Balloongs,fvrlhn2 ip()lv7-+ xuj:f #1 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 circul gvpi7j/v i5y0ar pipe. In one region of the pipe, it havviy g jp0/57is 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 forc lp5s:: jno5ygxg -c8eed through a pipe of changing cross section as shown. In which section would the pressurenxyoe5- : cj8gs:p5gl of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95Dh/j mdg sc)rr5+a6m 7u o8niqywhd+9)0 and D0, respectively. Each of these objects floats after being thrruor j)a5 m /c8d)i6ymhnsdhw++g9q7own 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 xpat8 3( v w1vy-pfb6gof 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 bloyf( 1-g6 bpwv8p vtax3ck’svolume?

  15.30: A spring scal 0wz 52e6cj*rxd0mbu xe reads 2.50N when a small solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the jduzr c600*5bwexxm 2end of 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 a7hlzeabgz1 83k7n3n bmg: 4rsnd uniform density floats in a container of wata4 b3 m snr1gk77h8zeg3z :blner 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 through a cylindrically-shaped pipe. At 9t uqk.s))rfv 8 wclwv6;hb,gthe lower end, the pipe’s cross- sectir lck)h .)q;ws6wub 8gv,f9 vtonal 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 strea*k45cv ,fc90q4hmudp fs yoe;mline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streamlinhc5f,*mfs4 kqoepc0v ud9; y4e 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 1ae*+5 dmpf p.an gr1 /h(jpywhorizontal 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 associaeg1f.p( /j5yana* 1d+h pmwrpted pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is at rest a ok:h6imrsn6x8 md0r2+kvg.g distance H above the ground at the edge of a platform.m+rh2m.rx8d:io skvg 60 k6n g 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 solid cu; 6 mgjfvnj.ja(2hf-omq-;v /oyph2 ibic 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 having a density o44fxx;x/ gyg9( nvok j g6z3mef $500kg/m^{3}$ . 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;ezyl-b(js6 uq,mui7 zz9901 qcf*qlhe) v ts with 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.