94.17: A cork has weight mg and density 25% of watx1 ah1fse46abs:wh/y gc7, pber density. A string is tied around the cork and attached to the bottom of a water-filled container. As shown in the accompanying figure, the cork is totally immersed sp,c7/afx :6s 114wabbhegyhin the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwat vuhwuhpa9*: (er, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its vuhh 9( w*:puamass in air?

  04.29: Three fishing bobbers all individuall 9bfl98pl uk klqf3z:)y float 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 mas:l83lkf9qb)9f luzkps 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 followlhn;p 0iok*2 fing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted(rao)fu6l5 7weussnv n0xg59 with small applied forces, is a consequence of which pr)nx 7af095u6n(sv 5w lsrgeouinciple?

  06.30: A copper block is connected to a strinya3(4.iqag v+kn:dd w0dxdah7iri6 .g and submerged in a container of wa in:iw34k+d6 d.(r ah0 qyiv7addxg.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 wh*bn, p+dm(c e7il.fdtf0xf .lp57g atmospheric pressure is hc. xftn7p ld*w(0f g5f, m7 +pldeb.i$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% of the obkeuu k h9s4;/nject submerged i4uken/;suk 9 hn 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 havebwbbq nw *2d;7 (*gfq(j0uo*b vlty3s equal mass. The cubes areplaced into the same large pool of water so tbtnqgq*7;vy 3dw2w(*jb b u0*bf( l oshat 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 balloox4 9k7 t0ut8xc; gyzfhn then is released from rest two meters ax4;zhycgkt0 ft8x9u7bove the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical6pideyuw x14*, s6 stp 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 statements about the buoyant p ity61upewdx 6*ss,4forces on the balloons is correct?

  03.36: An ideal fluid dzn6ym*zmwdqnw *,6 +flows through a long horizontal circular pipe. In one region of the pipe m6y,+z*wn*ndq md6 zw, 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 piwtj7 d7i6vq6t pe of changing cross section as shown. In which section would the prevw j6d6t77qi tssure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 andtes4og;( ay 1 mds*if; D0, respectively. Each of these objects flogetm ydof4; 1sas;i( *ats 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 03onou kpvsu-wn 64k4e/er,t string attached to the 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 block’svolum4v eoe4r,opw 3 ktn6uu sk0-n/e?

  15.30: A spring scale reads 2.50N when a small r*-9,wy)3gd9jno, gmr f**avwv nc s gsolid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is cn*c* g ,rg3mdowfa yrjgn-*9v, 9s)vwompletely 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 material and uniform density flo9ze()4p:di6nlw;b bhijj6k*zn qa 9h ats in a container of water with 60% of its volume submerged. If this same cubkab(ezj6:;9d*zwjhnbi) 6qni p 4 l9he 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 through a cylindrically-shaped pipe. At the lg:1. -19 ud)d gz ey;xsxxlbqoower end, the pipe’s cross- sectional u;eoxlg-1 dgz)9 yx.q:sd 1xbarea 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(x p *n;oa2fgx 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 Vn; g 2ax(opf*x. 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 completk if -*-+-c )zfoetybkely fills a small horizontal tube that 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 speed and its associated pressure in the narrower region as comparedkz+-o)f*ebi cfky -t- to the wider region?

  10.47: An open cylindrical container with very lacl9b0eg qh .3;wuxu79 eymw4arge radius is at rest 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 the79e h 90xwuql ygac4mbe.u;w3 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 is gieu e )9p jz*7lco,.rovven 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 o dlx/8r gv;f yp)yu;o :y1rl1with 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 /j /um d;/)jmp:wffz awith 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.