94.17: A cork has weight dn 5yh2y;0txqmg 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 thx ;0 qhn5td2yye 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 massfw3d6l)gqs3g*nfk ff, d,0d m of one cubic centimeter of pure gold is 18.36,g3 fgsmdf0*) k, nfwdqdf3 l grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of wrevo0s.b5(m x 2fgr *vater. 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 m0fvxsrebgr2* . (v5othen 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 following is the best statement of Pascal'elqewqjyq-enhjd9xm+j /,1 m 8ln :1/s Law?

  05.24: The hydraulic press, which allows large masses to be lif :csy,g 2t /sq/bf2yxdted with small applied forces, is a consequence o :,2cq/sybt2/ gsyfx df which principle?

  06.30: A copper block is connected to a string and submerged *u yi/vt( dq-(jhgc :.z aykp,in a container of wya,pvi*t(dh g/y( q-u jcz:k.ater.
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 atmospherbfx)mc1t0 w )lic pressure is 1 twb)0xmlc)f $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at re9-ryr(hf91vw zrhn k (st with 75% of the object submerged in a 1hv 9ynw(r(fzk-hr9 r 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 aluminuml( h2(7pv tame 0f-jss have equal mass. The cubes areplaced into thev(-ta (hlf js2psem 07 same large pool of water so that each is completely 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 with pure Xenon gas. This balloon then7 i;rst 74 g1aij6xlpp is released from rest two meters above the ground on Earth. Which one of the following choices best datixrj 7g 7;pp6 s41ilescribes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same ra c8yxgpq-0tiepz9 4:udius. Balloon #1 is filled wi4:xz y90qpuc- tgp8eith 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 flow2j7.oc xh5vnrq r*(dk s through a long horizontal circular pipe. In one regio *.jvn5orchrk72 (xqdn 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 radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as shown. Ifebr-8 ukd7).pd qhj. n which section would the pressure of thrqfd-ep. 8khbjdu7. )e fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 and D0,sgijux+ ru wqavqskx*(z6a r3t /s:7w.z*46y respectively. Each oxassk s 6qj zq4wa /.z:*xi7(vyu3*+wrg6 utrf these objects floats after being 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 light string attached r 2k81yimlidg12 zn7 5mqq4fn to the bottom of a large container of water. The tension in the string isdi 27 mnqn2rzg5f1qy 8kil4m1 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 7.ul1zav fnu)reads 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 the spring vla 71 n.)fzuuis 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 andi- pkjmbs4 ,,y9dhme2 d(v p+y uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil with dekvsm+ h9d,( yib,2ped4 -pjy mnsity$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cylindrically-shapn 8xu;be mpk))*0i bzjed pipe. At the lower end, the pipe’s cross- sectional*kb;)zue) 08 xpjmbin 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 streaclha g8 4 ha0h:1maw /ghl8b;wmline through a pipe, as shown in the figure. In Region I, the speed of the lba;w8h4: awmh/c1 h80gg hla 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 co2ql yu7;p hij8mpletely 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 fluid8u2jqpy7; hi l’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 is atg ker **zmfsep w2,:o0 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 H from the edge of the plf*k,eo* s2:0pm wg rezatform. 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 leapkwev ;f5h m5y0b77ra6z *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 havi uqvxdou( 4;r-evjpby80q 16lng 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 (denw iz,u1qj4ec ml l5a;g;q* nz.sity $13.6g/cm^{3}$) 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.