94.17: A cork has weight mg and density 25% of water density. A sur9qp-(/ ceju r92zu/jl2 c sltring is tied around the cork and attached to the bottom of a water-filled container. As shown in the j u ecr9p-rsu (/qclu2j/9lz2accompanying 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 underway;m((+jhbn;+fgf nn2xgtp .eter, the apparent mass of one cubic centimeter of pure go;fn+y ;pne2(gf xt+m hn j(.bgld is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on to ;v)s)xcnq aae8su49dp 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. If three idvas))8n;csa94 xeu d qentical 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 j ;do -vic*cp g5n:jt*statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted w ,ni9 y21xtg ,z1 ki1wg6ppke/jo krn(ith small applied forces, is a consequence of whichwg9t61 1j,1iekkg xp nkrnipy ,/ 2z(o principle?

  06.30: A copper block is connected to a string and submerged in a containerc91/dh;bi;i j: vjtvcde) u6g of wa9gu ib d;vh/t ccjj )vi6e:;1dter.
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 p,)-*uhi ybksqk6 aj6 the atmospheric pressure is k )a kbph6-jiyu*q s6, $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10)m,ow . yjtx)y.0 kg object floats at rest with 75% of the object submerged in yxojw )my),.t 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 af zr+yw mm0q:9 solid cube of aluminum have equal mass. The cubes areplaced:qr+wmz0fy 9m 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 water?

  12.21: A child’s balloon is filled with pureyx 3q ns dp8h0r2fo)xxs0m3n) zzj5) e Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best nxp)5 3r) e ozhsy3f0)jzdq8 n2x 0sxmdescribes the response of the balloon?

  16.23: At a party, two spherical balloons are expanw,bpzkgoa x:u,6j1 w 7n*r an*ded 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 statements abopw*,7:ax1, brugjn* 6 oaznkwut the buoyant forces on the balloons is correct?

  03.36: An ideal fluidlixcz *qup2*a7/n0dd wr v-8do2yt9j flows through a long horizontal circular pipe. In one region of d2n-7op8 cu2/atyrv0 9ilw*j * zxqddthe 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 of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cros8g2uu9:b ig .tlkt i9is section as shown. In which section would the pressurei .lb9t:k2gtii ug9 u8 of the fluid be a minimum?

  07.35: Two objects labeled K and xvayfy: (veyz(up a/38s+ bw. L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects a yeva zy./+(p3(v:syub8wxffloats after being 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 tolh l2g1 uorq4x fbna/6 f;bg m+e-2g,z the bottom of a large container of water. The teb xl6h ff2g rgalb4-1q +em ,/2oz;gnunsion in the string is 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 a small solid mass hangs from it in3zg h-a yyzv(- air. The spring scale reads 1.58N when the mass at the end of the spring is completely suzyz3 vh (-y-gabmerged 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 1xpm n5b +6s( bui9bx3ew+oorof water with 60% of its volume submerged. If this same cube were placui+36m wr b9sxobexnb(p+5o1ed 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 cylh8v 1 yfnqc,ft*adgtu/;s0f.y i)y j ;indrically-shaped pipe. At the lower end, the pipe’s cross- sectional ar1i)g/nqu.yvat;fjfthy*;,s y 80 f dcea 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 horizok cj9p 2gphe 1xhss7l+4vj27uvw::j untal streahc7p2 lu4u::+ 972vgpv1wjsjks ejxhmline 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 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 t4l:pd u,j-2rrs o9d fuhat has a narrowing cross-sectional area as s29udjrr,o d4-puf sl:een 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 cji9j3c oqow2 8ontainer with very large radius is at rest a distance H 2jwic8q9jo 3o 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 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 solewrwy5z7,mxm1ph9 *4xf qu* l id 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 filer2. qt qn5em-,fx5jyled with a liquid 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 gf4n w h;4-zfuytx1yi y9 k1p:with 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.