94.17: A cork has weight mg and density 25% of:y m p0e t3yevyol4*z2t 4-iep 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 corktmie lyey : 24t-4zpeyo*pv3 0 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 centimete- d, .mn7ucp(tbhzps; r of pure ;7 mp.b szhd-tunpc,(gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually fload,qeb6 *y ae(at 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 great*aeybd6e qa(,est volume of water?

  01.18: Which of the followin3et l w mql)to)jx6-9hg is the best statement of Pascal's Law?

  05.24: The hydraulic press, whia0*zi8xrxamyd7d az (:: + thz*fol( ich allows large masses to be lifted with small applied forces, is a consequence of *8iaxaom ( zxzt l:i( 0*:dzya7hr +dfwhich principle?

  06.30: A copper bloco() /z y crb-k yt851xz+dkudok is connected to a string and submerged in a container of wc )k(5dt+-xzz/1o rk8uyy bd oater.
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 t s)/crzd;4u x4ruhu,w he atmospheric pressure is /4r )hrwu4udx sc,;uz $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 1;3xz9 *zu 5 +pu/m* 6iv:rgoxvkswvcl0.0 kg object floats at rest with 75% of the object submerged in a cubical tank containinv;kwu5i+mczo 6* 9uxv3x lrpv:*/gzsg $50.0 m^{3}$ 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 equal mass. The cuum4u*qm q ;-mlbes areplaced into the same large pool of water so that each is completely submerged and resting onl qm4;m uu*mq- the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled withqtirf;7kwho 6gki/*3 pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which w 7qof;h63k k/irgt*ione 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 radiush/s3 tz 1l geiwc* .ghss7(( byrw59pm. Balloon #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 correc 5 w3cym/r(hp1e ztglsw7s.hg(sb* i9t?

  03.36: An ideal fluid flows through a long horizontal circular pipe. qke.z6n7;wpbhrb5s o, (+wm rIn 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 w q kb57, +.pmor;6(wnhzbsreR to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of chabst93/j- ngj enging cross section as shown. In which section would the pressure of th3n b-ge/sjt9je fluid be a minimum?

  07.35: Two objects labeld.itf 9b t-6hked K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being9t-dhbt fik. 6 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 h 62lr wnft*a xal1(d3light string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the block ish n6dt1x(wal2 3* lraf 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass h)a8fbly c+ex o3mlv 16angs from it in air. The spring scale reads 1.58N when the mass at3lb8yv)f cmo+6a el1x the end 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 and uniform density floats in a containar *qq5k7x1zdl08ukv er of water with 60% of its volume submerged. If this sameqadxkk ru 87*5z0l1q v 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 gmm,(.v)rqej, d/apca cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional ar(pm, )q/ dremvc.ajg, ea 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 hot 5nn)9q:8mxwg v;nh drizontal streamline through a pipe, as shown in the figure. In Region I, the spen5 8dmt; 9ghnv): nqwxed 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 p8g2l2 th+y sihorizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the follo+pg2 yls8ht2 iwing choices best describes what has happened to the fluid’s speed and its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container wit/l +cinr r0,cqs*vx f4m+gnh3 h very 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 squirts out horizontally landing a distance+3r4sg/ il,hc x+c*nfqr0nv m 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 cusz,a pd /bvj:3bic 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 g34t,xnl/c8j kfq)c d 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 mercuu1)kjfj98,n i+fx6uwp(y * yh j*stjzry (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.