94.17: A cork has weight mg and density 25% of water density. A string is tieb0ii )gs vk0(y/ ejoi)3:hly kd around the cork and attached to the bottom of a wat(kihk)g /0yby) ivl0 i:esjo3er-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 qbf px-rw. +osw 3h m5)ksgy59mass of one cubic centimeter of pure gold is 18.3 grams. What would be its mass in sho)wywp x r3fq9-mk5s.b +g5air?

  04.29: Three fishing bobbers all individuai8qs0w*up5 iv lly 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 bobis*p vw508uq iber will displace the greatest volume of water?

  01.18: Which of the followin4khwil+/eh ;xg is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with ; 68ei-c3fguqwv z0hr.zx ump,yd ,2zsmall appx8udphi0zzqewry2m.u 6-f, gz ,v3c ;lied forces, is a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a co,i/7 ;uva 0e;px mh+l9fh gnvcntainer of wat0l g + ;m7cvnvxi,; 9aufeh/pher.
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 is8jr z-rpm h tr3h:-6af 22.0 m long and 5.0 m wide. If the atmospheric pressure is f36ptm :hrz-j -h8 rra$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at u7/a ya ;2gpk( y(c9aj oyzs)brest with 75% of the object submerged in a cubizkyc;a)(au9g 7 s2apy (boyj/ cal 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 cug5bc xr 9c/mo qxnx ;(e8-;qyxbe of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is comx yxq89;5xxccm ogn( ;-re qb/pletely submerged and resting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled wi- 05-lbu(yc.rd sj i1(auq kurth pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describessau k1rb(ri5uc-j-0u.qy (l d the response of the balloon?

  16.23: At a party, two spherical balloons are expagdszz9hou94.n s; e -tnded 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 staz.nu4og9 ;tesz 9-shdtements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular piq)a3yt xk:n7-2 pylwp6.pr mm pe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. Whamqywym3.: x 6 )nrltapp72pk-t 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 throu7h5+upxvyc 2 vpmprffjp .5(6gh a pipe of changing cross section as shown. In which section would the pressure of th u57 p6 f2ryvjpvc+ xpp(5fhm.e fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass biiqkguiz723 w.7oe:w ut densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about w ig72eow7u.iq3 kzi:the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attaca5 d-.zlkt7b ..d rtuck5 eti-hed to the bottom of a large container of water. The tension in the string is 3.0 .-kd7 5t5dt tbcizeukr-a..lN. 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 hangs fr cln .hxkq19xr g4s.c7tkn85f+jz2br om it in air. The spring scale re kscc 74qj2l .g+ 1rnx bfk9hnxt.58zrads 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 density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a containe-;sa4m:bb 9hp8ascgx r of water with 60% of its volume submerged. If this s4 ;-x bgha:sa 8pb9cmsame 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 ideamg2:swnoa+cxm 6 o 1(1wnd5wrlly through a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectwcm 1+o wmgnsd 2x: ar(o5n16wional 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 flthuo 98*jw*wlowe 8eu 9 gch-3ho 2c8ouid is marked as 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 cgeu ou8hco oowe-2wh*83 hwj *8tl9c9ylindrical, 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 cfu92 chu8rhya(i f. gg7f/r4kpb hk37 ompletely fills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of tb9y(. 2f7 c37 fuu4rkf/khgrh iah 8pghe following 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 with very p3 9v twd/5e2a xkcbo.sazn(0large radius is at rest a distancw( 9a.o sdazevcx p t02nb/35ke 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 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 block is+t*a9a2l a +mgqe;1zsxwh bjz69+txa 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 of ,yqc5)/uje0fe+v9kwmc i /g vj3te -s $500kg/m^{3}$ . 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 fi 08j622dvwm rbk1p yc8eh0mcd s0u)vglled 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.