94.17: A cork has weight mg and density 25% of water density. uqclq ju/ l,,ho6i) v;kwab;8A string is tied around the cork and attached to the bottom of a water-filled container. Asuivj, u8 hw oc6qal/kq;lb,); 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 mass of one/-) 1 d.snkcswghey i5 cubic centimeter of pure gold is kyd.esi/ -1c gsh)5n w18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top o5jx oquj+qjoc6m,0 4ofa+i o9 f water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical sizes and shapes but bobbe0+q+a5ouijo9co6jqfxjm ,o 4 r 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 sem2 *u 5nh-wj,t8fuuntatement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted wi /*kzlmo95e9hq gfa f+th small applied forces, is a consequence of wh+kz e5mhlog9 f/a9 qf*ich principle?

  06.30: A copper block is connected to ta*+3/3 5hmcz6n yzqd n d:ueba string and submerged in a container of water./uc *z q 6tdy he:3+n35bdamzn
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 atmospheric press*wv;ssdz: . jiure is *.:i w zjdv;ss $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object ;z6oziqu b* lrg8sw/( floats at rest with 75% of the object submerged in a cubiuqgbo 8;z/6wr* zs( ilcal tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron0m/c+brus ib v5 nt8-w and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of wattv8+0 b/bsr5un-cmi wer 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 then5e b(,0a5kpx1enps a u is released from rest two meters above the ground on Earth. Which one of the following choices best de bpua5 kn e0a5s,ex(p1scribes the response of the balloon?

  16.23: At a party, two spheraz3fu t575g yxmz )k3oical balloons are expanded 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 statementtuzk)53o ma gzx5y7f 3s about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe.xmwk*f5 q7h -y In one region of the pipe, it has radius R. The pipe then5w*f- 7y qxhkm 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 chatlv1u :i lp0dj9g )f(znging cross section as shown. In which section would the pressure of the fluid be a minimum? : 01 fg9tpidjuvz)ll(

  07.35: Two objects labeled K and8+mo-x,o4c 7kd)h auxzni n5mapty 6+ L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown intoo +mnhc,k xx8z u)iy5da-76mpta4+no a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connectndah .4qm/ oy-ed 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 fn q./mh-4dayo orce from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N wxolu6iuq( 0 libcfb+*w7 -7 hchen a small solid mass hangs from it in air. The spring scale reads 1.58N when(u0h7i+b6f cui-7xl lbqco w* 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 mat)0.uns0q :v ha;jhh vlerial and uniform density floats in a container of water with 60% of its . vu0q:lna;0 hjvhhs)volume submerged. 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 ideally thro 11nw+vezeg 7hugh a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional aeh +gv w17zne1rea 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 stou ny2z0z*1wr5w4 /qdgbev7i reamline 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 narroub5 qeo0/w 1yn z7r*dwzv24 giws 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 completely fills a segtdh+ n txj56319needp8cj9 mall horizontal tube that has a narrowing cross-sectional are9g 9et3pje txd d8n enh6+cj51a as seen in the figure. Which one of 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 is azkx,do*t /fp 9t rest a distance H above the ground at the edge of a platform. A tiny hole develops 9 x,po/tkzdf* 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+ ;1r7;q:gjds3)*rb 6aw mr wrirxmpd 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 liquid having a density ofwkdr,i-7*bm u $500kg/m^{3}$ . 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 (npluq 9h0u**tdensity $13.6g/cm^{3}$) 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.