94.17: A cork has weight mg and density 25% of water densdodos* t .m.c0ity. 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 in the water. Expressed in terms of the cork ctd d.0*.soomweight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one ie 9q./4z2qqimr j:l pcubic centimeter of pure gold is 18.3 grams. What wouldmr4qq zie/2lqj9 pi.: be its mass in air?

  04.29: Three fishing bobbers all individually float on hsplrdj85d a)w+6(z-vojvjh/ 0 npl3 top of water. BobbersA and B have identical masses and densitihv zv d0-lj5(pndhaj6w8o /+ s3pjlr)es 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 will displace the greatest volume of water?

  01.18: Which of the following is the bebo80q. e /(. ax6xkwieuu3pw tst statement of Pascal's Law?

  05.24: The hydraulic press, which allows large mav0kc,j pb.)2;lx ancysses to be lifted with small app .k av0x,jbc);c2ylnp lied forces, is a consequence of which principle?

  06.30: A copper block is connectmbup:t105sp l p/ dy-fed to a string and submerged in a container of water. b tpp5y/f p d-l10s:mu
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 j;antv xt: 5lz8 k4g*jand 5.0 m wide. If the atmospheric pressure is kjgtjln:v a 5*t8 4x;z $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest wqo ymwr8l y-xp+6 dx.:ith 75% of the object submerged in a cubical txw8.6 :ym+-qxypolr d ank 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 ofeqzgv y(b3x*o4i,i59liz362sh,wu 4f l hywm 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 experiences the greater buoyant force fromgz4lw2o( 5sh3fiqu6xl ,eyi,m9i3*4b vwhy z the water?

  12.21: A child’s balloon is filled with piyu ;m75.g pkeure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response of thgykm57eiu .p; e balloon?

  16.23: At a party, t3w8c,x m;)em*oc ayd nwo spherical balloons are expanded to have the same radius. Balloon #1 is filled with heliuxon m;y,c3ma*e dc w)8m gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In one rdjvg.2 qoeklss a6a);d bt 2dt,j 18e2egion of the pipe, it has rad t2s81oj)6e qdt,aea. 2 b;dg2k sjvldius 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 thr +y. oox5c6nkfough a pipe of changing cross section as shown. In which section would the prf.5oo+kcx6 ynessure of the fluid be a minimum?

  07.35: Two objects labeled K and L haveiqm3,+g a k,ty99 fp,3mrscaz equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into am ,a,+c ik y9prfq3gtm,z a9s3 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 oyz0fe ;k sep)uozxd +4 dl)7-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 th sz0ke;del d)pu7 4) xfzo-yo+e block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a smalh*ip.yyzq ;,jfbw3+sg i fc9e,xs // pl solid mass hangs from it in air. The spring scale reads 1.58N when 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(ucx, /f*3by hsii+pjpf w;z/gey9s, .q nit: $kg/m^{3}$)?

  09.32: A cube of unknokf.u+,y el o/3 ejvt3kwn material and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a tkf jlve .u,3k /+oey3container 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 t 4ri*vbdszqo ;3fvh:d rb862ideally through a cylindrically-shaped pipe. At the lower end, the pipe’s c4rt q z*so;v2r f b68hbi:3vddross- 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 an ideal fluid is marked as it moves along a horizontal stcc+ g6x yt5u5g*j3.h+y gsad3t ktf-treamline 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 sptf x c35 yjs6uk3c+ggdh a-tyt5+t* g.eed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horiz ttyx,w1( + *xc)f zv3rbwp)0tf-povo ontal tube that has a narrowing cross-sectional area as seen in vvfwttp1t0 xx-coz)y ,(*3r o) +bfpw 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 cylindrc,z xlgfjz(); .iqk8lical container with very large 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 watej.fl c,z qki;8gz) l(xr 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 is givw:y ysz9y;zb g a2su.y8zi82ten 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 swimmhj3bu2l- 7b2fcaf. uling pool is filled 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 with mercs* s1 1xeo(lzccruv1+ury (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.