94.17: A cork has weight mg aeuv5jl2jh am1u4h7 r5nd density 25% of water 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 ial5uh5rhv 4umejj 7 21n 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 centimel.oct74 a6q/ueko/ iz)ha uz .ter of pure gold is 18.3 grams. What would ialqe/.uh7k /.a4ozut o)6z c be its mass in air?

  04.29: Three fishing bobbers all individually flo- c2 csz9ief*bxg22s1fo7s 0 .pk iscoat 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. If three identical weights are then tied to the bobbers and all three are pulled completely beneath the surface of the water, which bobb* ik ccsifssozp1s2gx 7e-29.co 0f2 ber will displace the greatest volume of water?

  01.18: Which of the followyq8e0s x-v-c 1dfyt6n ing is the best statement of Pascal's Law?

  05.24: The hydraulic pre ytdrithy mn;(irn9hz.*5r2. ss, which allows large masses to be lifted with small applied forces, is a consequence of y2i dtmnyin(9rz hh t..r5*r;which principle?

  06.30: A copper block is connected to a str e- vozxhzziyt0 obvk06hh+c. p i.+++ing and submerged in a container of wt+h6o.zvz0c+0.o yh ibk+vix +-e pzhater.
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 22.0fl-21h2dqr. el /laq7ex 4jrv m long and 5.0 m wide. If the atmospheric pressure is 72l1e rel.ljfxdrv-hqa2q / 4 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with(tz +snml3m8yknm 4y6 75% of the object submerged in a cubical tank containing m8 kntsm6mynz+ (y 34l$50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of alumzuevsj8c11f0 inum 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 fu0v s8zfje11corce from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloon tpb(w7:m.bf *rapjck )hen is released from rest two meters above the ground on Earth. Which one of tr. k:mwb* (cp)j7 fpbahe following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the s73.; xkgiet vmame radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about te.xk7;3t gvmihe buoyant forces on the balloons is correct?

  03.36: An ideal fluiol4ezck o .i: d.tn+2sd flows through 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 th. nos2.kd e:lizco +t4e speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe e ikx-7j*(rrjz..yay of changing cross section as shown. In which section would the pressure of the *ra jr(-exy. yj7izk. fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but9, kuy0x77 a2bcykme(vq( cxm densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming poolb kmavy7,e097(qy2kcxu ( xmc. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attached to the bottom of a l-oo1an7e(sm,tiw-0l r74nbi htj - k carge container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the 4k tli(7an17j 0wmtbhcorni o,-es --block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N mwz:o x* 6h3hhwhen a small 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 r w 3*mhxh6o:zhepresents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density fmnzx l+ib,h1t; 1h:cp loats in a container of water with 60% of its volume submerged. bzc1,h lm+t:hin ;p1 xIf this same cube 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 thlg+t(fq6y.1x 3 2 h.ttrsc ncts6ce9grough a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectionalrct q .l t6c3xf9+t ( sgt.e1hcs6yng2 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 s 5oy/jx4 y(c3cjv ;gpalong a horizontal streamline through a pipe, a ycg435op/c;v(x sjjys 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 fiu i vc;czqd7u*7dm5z cw:(0uolls 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 compared to the wider region?0q; 7 mu : uviz5u(z7ocwdc*dc

  10.47: An open cylindrical contagc+zi-cqa, x3udh-x 2iner with very large radius is at rest a distance H above the ground at the ed,gxc z2 a qx3-+dhcui-ge 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 solid cubic block is6w5cuml spqahlo5qq+(,a1 o1 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 filledonj 0u;)mwb g9**c 8djru.hvfa5tvb9 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 wity xv*li; 2i t+ci7k0j-yl)fqjh 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.