94.17: A cork has weight mg and density 25% of water v0uxc)b.hvmg2 p 5yk:rc3t a 0 rb5xj-density. A string is tied around the cork and attached to the bottom of a water-filled container. As shoc xr5)5pbyxtb k 2.0 mvuhc0arg3vj:-wn 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 submergemp m3+,*vzrim d underwater, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What wouldmizr+ mm*, pv3 be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. BobbersA s*.zc5gs jxla +hl8 nta6ll20 ywnw5,and B have identical masses and densiti zs w.5axwt2gljnlh5 8*6+0ac l,sly nes 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 greatest volume of water?

  01.18: Which of the following is the best stay112s ajjn k;nsulo nz-zl+ 4/tement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted wit/rth n o v;)k:el+hq*ch small applied fkeq)vnh :h c;l/o*tr+ orces, is a consequence of which principle?

  06.30: A copper block is contm 4u;c dx;3 f2bvylpg ysm0f.g /-7vmnected to a string and submerged in a container of water.;gxf. ym4u/mys v gpvc-27mf0 bl t;d3
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 lonkce/5le.3p px,v+gx cdo +9cug and 5.0 m wide. If the atmospheric pressure is lcu 3poc/+egx5+e,vx d ck.p9 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 7vdmlnvlis1tv1 9s 9a cad3 .z6oa 8w7(5% of the object submerged in a cubical tank containinv 9lm17.a wl3(a av dtssov89cdz6 1ing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and azuudb,43.,qo sh u,as solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of34ahu, ,s,buuz . qdso 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 balloonlzgg7v ;zbj*/le8e( wt3vm e* then is released from rest two meters above the ground on Earth. Which on *zvlgw*78 zeve3(g/ etljm;be of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded s3zf pp98ykyqez1u55 c /t+vp to have the same radius. Balloon #1 is filled with helium gas while bapyfs+/z 59p8tqy kp1 53czue vlloon #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 circ ht a)kcv 0(eg-kv/c x. b4j:9k1tqzpzular pipe. In one region of the pipe, it has radius R. The 9:1c(z .pjthk-)vkegq vc/t0bz4kxa 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 chan n,4ln/rh x0dkqy(5lxging cross section as shown. In which section would the pressure of the fluid be a minimum?5nkl0(/ 4, hxxqdynlr

  07.35: Two objects labb ,:*c zsc4obbeled K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into : *oscbc4z, bba deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string at7onijn u4s)(e+ri gm6tached to the bottom of a large container of water. The tension in the string is +6me)ijgo7ru (in4ns 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 reads 2.50N when-95-py rejfyn gm14 hl a small solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of nylrygjf-9mp5e-h4 1 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 mat-2kb9q;rd rzberial and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were plac ;qb-b9rkdrz2ed 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 cylinreoek:;)ucd.b/z)lf:4rfyem h .q-pdrically-shaped pipe. At the lower end, the pipe’s cross-l ff)d:zyhmbq.-.c / ;)eur kpoe4r:e sectional 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 movyc uj*:30afx ees along a horizontal streamline through a pipe, as shown in the fi3:xc juay0e f*gure. 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 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 completely2y0rdc ,j ko st3o8qo)62f wxi 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 hap), w2koix df8 tyqjs30o2o6 rcpened 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 is at rfuo7 w.c5 xgr4 p05 i53ye;l4uiyfsgzest 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 ufg 5e ;ofisg4.w5zxyc45iy7u prl 3 0distance 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 soli s e5j50i4zaxv1j 1b.) yq:tyqnoht/ cd cubic 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 liquix,wc ia b5-;ycij n ( yu9by+7i7)cfcfd 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 7twi(z1zckp*g 9-s co 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.