94.17: A cork has weight mg and density 25% of water density. A string is tie .ev9 jqkmmbc afg8j30if8z:; d around the cork and atta eam:jvz.g9 bkf jc q80mf8i;3ched 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 centimeteavc4 ; nb7c5 yt7remn1r of pure gold is 18.3 grams. What would be its mass in air?7nrb5 tcnyce1v4a; 7m

  04.29: Three fishing bobbers all individually floatt4 tg9c.nz prj w07ocd g:v79c on top of water. 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. If0ct dg7cwv rj.9nzgp4ct7 9:o 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 o*w zj(uth,/(o z7o5b3byo mz:1 lj hpstatement of Pascal's Law?

  05.24: The hydraulic press, which 2 :g5v,e81zw omfewjhallows large masses to be lifted with small applied forces, is a consfm 8 jv1e,25 wo:hwgezequence of which principle?

  06.30: A copper block is connected to a string and submergedgkm)b q+gy o4r1 ag8+: anxqw8xh- a+a in a container of water. wgmq8 b kg+ aoy):nra+q1x-4hx8a +ag
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 atmospherrsvb h ::rw2i9ic pressure is 9v: rhb:rs iw2 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform .co2;ku: 72n6qwwhm cr1gne a10.0 kg object floats at rest with 75% of the object submerged in a cubical 6 2rewuaq wongmc;:1chnk .72tank 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 x8zt8h 00trvky gz8l 2solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object experienceshxtk08tz r8g0y2lz v 8 the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This ballqa:eata-c 1r x o11 f/ bj,8zanzih;5uoon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the responseq1e abfi58a/a z 1z;cru -a1:h,xj tno of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the sam u:e*wh5gk zn;2hxgd* p)wze* e radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon kw:p x*du; gzgz*e* hh 5we)2ngas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a lr8t;abr) j zxhwvk7,p j;ml4 6ong 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 spr vkx 8rt 7 pzj4lh);b,w6aj;meed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing c,uypw75gyk khv9e u .7ross section as shown. In which section would the pressure of eyk7u hgku.w9yp ,5v7 the fluid be a minimum?

  07.35: Two objects labeled K and1nngcxb163/3 gwzdyx L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after beingxyxn/wc3g1n1 6zdb3g 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 to th 7,5jai7g aj6lc-tm,ge nnu .fe bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the block is 5.0N. What is the blguj7t-,i .a,jmn elc65 af7ngock’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass i,y*o8rcaqc--ha*efjk 7gzt 3q r;cc wf;+2u hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely submerged o, tzfrajgy38f7q*2cieruq h*c;c+k;wc- a - 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 + wody qpf*yka7tj, 81in a container of water with 60% of its volume submerged. If this same cube were placed in a containerqt7,a+*wkpjdyy o 18 f 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)w5t gcxh /+q r6 p.6zq z/glffau.x,d pipe. At the lower en.6 fqx +)pf/t.qghr azlzgd /u,5cwx6 d, the pipe’s cross- 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 a n5k 86a5c octwl-0gzun ideal fluid 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 strea6clc5w 85-kn oa0 tugzmline 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 completely fills a small horizontal tube thatipz2 *yuv8m l5 has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happened to the fluid’s speedlyipu8 m zv25* and its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindricoipqm-3d (w8sal container with very large radius is at rest a distance H above the ground at the edge of a platform. A tiny hole deq8 3ps-iwd om(velops 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 cubico9kk :a pt;jw9 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 liquid o ,;zdiftrc .2having 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 mer s7:0gf d6r a;s qknz22hbgn-xcury (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.