94.17: A cork has weight mg and density 25% of water density. A string is ti,i0u j*g n zhpz) i,jhi-za4(aed around the cork and attached to the bottom of a water-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 tensionia)uh (jazi p-ginz40 ,hjz*, in the string is:

  01.20: When submerged underwater, the apparent mass of one cubkvd. xt0n;rr9ic centimeter of pure gold is 18.3 grams. What would be its mr kr t9v;nd.0xass in air?

  04.29: Three fishing bobbers all individually float on top of water. B /xkl4*rg bo9zobbersA 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 greatest volu zo xr/4k*9bglme of water?

  01.18: Which of the follo,- 6astt9ykj hf/hf3ewing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which 5eqo,d ujraj* 1bu.r,allows large masses to be lifted with small applied forces, is a consequence of w. *uaju,e,1rob jd r5qhich principle?

  06.30: A copper block is connected to a string and sub ut-rnc*f,b6+n*h+e( sg / fopzomtp (merged in a container of w-f+t*cr,m( phnfeoou b(z g* ts6/ pn+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 agio vj/5d d7dtco w,i9oms 2;0tmospheric pressure is 75 ,i/d9mvoctods;doi2wg 0 j$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floateq gl) 8:7x oc+(1nw4xx9qloxdxam )is at rest with 75% of the object submergedx 4end+i ) qoxq(8gla1w)o7l 9xx:cxm 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 aluminum have equal i3vs)tw, 6 joemass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object experiences the greaterw s3tovij6 e), buoyant force from the water?

  12.21: A child’s ballooxndz9- 2 5gchon is filled with pure Xenon gas. This balloon then is released from rest two meters 9cnh d 2z5-xgoabove the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the 7dbq3m76 ,eek p2 euhxsame radius. Balloon #1 is fil6 3e, b27eeu pmhkq7dxled 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 correct?

  03.36: An ideal fluid flows through a le-:qdvp;p ;z gong horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the revd gp-z; ;p:qatio 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 througp1 zsbk*3*jzdr 7-dpjh a pipe of changing cross section as shown. In which section would the psb7 dkd* z 3-pjz1pjr*ressure of the fluid be a minimum?

  07.35: Two objects labeled K a a.lkh /u)xzg0nd L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about .lk)hx zgua/0 the buoyant forces acting on these objects?

  08.16: A block is connzcb b9d,*:7lq4p;0kx(qbos z x,yd wkected to a light string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from 4b, bz(o9zs:7p ;q ld*q,cw xd kykx0bthe earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale +or el- fy7gyjh 6+.bfxl0g2p pm n5x/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 is5y7e+.lph ox6g2f +jr np /m-0ybflgx 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 unknoleo8hz ,ykn 0n 64to;rwn material and uniform density floats in a container of water with 60% of its volume submerge 0 48k;eltohr,n6nozyd. If this same 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 ideall8-srair-;tjb sir:azxkm 442e 5rw j9y through a cylindrically-shaped pipe. At the lower end, the pipe’s cross-rt era9x :4i;s-wjz b5isk4 2aj8 mrr- 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 fluibd8ccx67a8 fhkwsb7 qb p*o 2)d 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 cylindrical, horizontal pipe narrows so that the radius of the pip8a2kpc)ox cbqfdbh 7*s6 w8 7be 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 horizontal tube that has av04a-gie- nlvia:x 2b narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happened to the fluid’s iev2-gaxbvl-n a:04ispeed 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 rest a diqvh7a6xwn0 9b stance 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 hn vqax6 09bw7horizontally 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 g4az mf(wh:gb5 iven 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 l;m0.l5iv y pht;-w mpd,/nepliquid 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 mercurrd jm6pzhv:8b.bo3r * y (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.