94.17: A cork has weight mg rh1 b1j6 d rjvito1bszzt/--k3 mc yc116u7udand density 25% of water density. A string is tied around the cork and attached to the bottom of a water-filled container. As s k rsy6cc 1uzt13dtdh j7j 1v1/rb16i mzob--uhown 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 underwatzx1 fd*ce11-ipo5 y0ndl ,xynt:k fd/qmx-3ger, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What wqm/otf *l 0-1i 5g-xfd1ek1y:pzcxnd yd n3x,ould be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bo7rn9zu7o 8n v nrj,5uh r.ce;abbersA 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 displr 7u; . na9c7ourzvjhe n8n5r,ace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal3ozmu u(-xbni woh *8t z:v-x3's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with smallm.y( g7(ew t mo1d;bkfdwmve;,9: ads applied forces, is a consew;dg9dk; (f d: y.meab(vtw, s1mo me7quence of which principle?

  06.30: A copper block is ;3dbo5kuv d, .j2bgga connected to a string and submerged in a container of watduabbd 3o gv j;g5k,.2er.
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.*:lui4+y x(ot u,khietmon) z qh.8-x If the atmospheric pressure is x,ii h4uym+.n* -k)l httu(ez: o xoq8 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object float-rtfu73u sio8tg7;x ns at rest with 75% of the object sgn -of7t8;isruu7 3x tubmerged in a 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 yj71+ku 8opel 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’yk+ 1ulop je87sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon0)z t*c2s+v4tm( t ewpl ykei;sn:zr; is filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which ont0ml*kizyswnv2sp 4e;tc +t) ( :z r;ee of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to hav8u3u.k)(pwa+5iial4qck4 u ie ;vtyee the same radius. 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 ) 5w evui(ayau4;+cei3t k.upi 4k8lqcorrect?

  03.36: An ideal fluid fs5as9b7hulb4 +w; r2(et j2k tb o.uxzlows through a long horizontal circular pipe. 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 rawkjt slu .b2z(b4orea tsb;u2h9 x5 +7dius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross*t0htwnl,: :ycg ow:w section as shown. In which section would the pressure of the lg,w*:ch0:ot n ytw: wfluid be a minimum?

  07.35: Two objects labeled K and L have equal mascrn/z rfq*joh 8w i b2+up367is but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrownn23p*r ih/f6+ jbu i78qw rzoc 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 t1 g(w;xfsbx8f t(, rqche bottom of a large container of water. The tension in the string is 3.0 Nrcgft (,bw ;xfq1(8sx. The gravitational force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale re(6aq5lv+8n)ajk ts4w bd uq8k *f(q nbads 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 thvt s5q6fn8daa( )wbu+k j qbk*l4 8qn(e 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 unkno+5 y5: .m1xnofyirwkve.5oxg wn material and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in.1x y. +oywvn mix5:5kgfoer5 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 ided+m6pha 3 zgp:ally through a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional az3 :+hpmg p6darea 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 a6zjpba8s5 )),;mov sekjz k4it 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 pkkj))8,b ae v;5 4z szmoja6sin 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 horizontal tube tha0be 7e3uic wgrwr e;);+luz3pt has a narrowing cross-sectional area as seen in the figure. Which one 3r;rue;7zcwlu 30) gb+iwepeof the 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 large radius mg72exb9u5 6cyql5t/is (zxy 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 squix 9mi/7qzxy5gtl5c yb6 us( e2rts 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 blou-a t r6thnuiif o(5:(ck 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 )p286j 8ovr:f ;wx by(napyum-n*etzd 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 mercurxfd,0ij/,d q ky (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.