94.17: A cork has weight mg and density 250xnde: k jj3 *slldww 89d0z2h% of water density. A string is tied arh 9dz:es* dd08 0nwl3wjj k2lxound 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 tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic centimetruieq.xt4wf7 n .0m -ler of pure gold is 18.3 grams. What 4-eflm70r tnq .w. uixwould be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water p3 (hz2qkourrnn t -7t8*zml8. 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 then tied to the bobbers and all three are pulled completely beneath the surface of the water, which bobber will8*zun (3q8t tzh o2l-r7knmrp displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal's Law?c)e sy0 jwyqkx:oao+. u s-p9+

  05.24: The hydraulic press, which allows large masses to be lifted with smal*w.xwaxdjr(;s1 9 r tv-2byj hl applied forces, is a consequencybwv1xa;jrt9 ds2 *- (h jx.wre of which principle?

  06.30: A copper block is connected to a string an yvxn 1 * t(*4)vv4qyzwwhntd0d submerged in a container of wat xvqdttzyn v*nv)*4h04w1(yw er.
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 pressu31l z7stwrps 7re is 1 7s73 ptsrwzl$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object flwguctk y)f) 5g,8gfo, fsu(y+oats at rest with 75% of the object submerged in a cubical tank containing,( uug wcsgt)ffkf+y ) 58ogy, $50.0 m^{3}$ 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 mass.do9 rm)k j+3+l6 /wipzl4hrboz s.,ni 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 greater buoyant force from the watezojr+ 4+il )kl.snz9pdhr3 bi ,/o6m wr?

  12.21: A child’s balloon is filled with pure Xenon rz * uag/z;bis(w97bwgas. This balloon then is released;izb zw*sb(7a/9 ur wg from rest two meters above the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical.yl8- uft-lkz 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 followingl y- f.-kzul8t statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows t7/3uoe*1l, me+mpaoja q p :zuhrough 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 radius R to the speed o/z1,3melpou* mp:ae j+7 uoaqf the fluid in region with radius 2R?

  04.24: A fluid is forced t5xo vj 130fmhuhrough a pipe of changing cross section as shown. In which section would the pressure of the flo31fuhx jm5 0vuid be a minimum?

  07.35: Two objects labeled K and L have equal mass but d jjqzy1)xrp x3cwon:7ef,te0 z )8 ar:ensities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true )8c)rw:najx3e7 o0e ztqzr p1,:fxyjabout the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attached to the bottom lsr p:(giye323bwe5olv7 ) x skh 8bq2of a large container of water. The tension in the string is 3.0 N. The gravitational force from5sgkhe8) yq7(lbw r3o p2:l 2bves3xi the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs from it i3lejyey c5f 6q 6hxvr+-s6 r r3;a-kznn air. The spring scale reads 1.58N when the mass at the end of the spring is completely submerge qe5r-nk+v xrf6-6y ;s hlaz 363ecyjrd 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 and uniform density floats in a container d8,bobkw7 dh-n 0j0iiof water with 60% of its volume submerged. If this same cube wern 8ohwid-j07kbb di 0,e 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 through a cylindrically-shaped pipe. At the lowy*1e.p+ag. a.bmmn .uyc y3c:qol; twer end, the pipe’s cross- sectional area i c*u wbqm. e:.yn.1y+; c o3.tymgaapls $ 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 jl przzeynm(zxxm e-.+1i55 )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 cylind1r(. 5m xy)p5 xej+iz lezzmn-rical, 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 completely fiz/ae d6a09kmqv*+vyocc-*j5bd ( ccb 4a*h oblls a small horizontal tube that has a narrowing cross-sect/*db9k 4b0ocvb5c cjm*6eqazo y c(v* d+ -haaional area 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 at rest 5ri/0bxno23 npq,ul xi9 qzq/msh,6f v;b1bs 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 horizontallyz, nful95bbq /xi, xvs2op6/3r1q; qns0ibmh 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 given en( hd8 3.l( hblw5nejas $ρ=0.750 g/cm^{3}$ . 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 o6u1 s8c :sm6gmba*w ua 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 wit4atl196c c*2al 4qr omyl fpk-h 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.