94.17: A cork has weight mg and density 25% of water densi)ixpjtce pr:1 hb -8o/ty. A string is tied around the cork and attached to the bottom of a water-filled container. As shown in the accompanying figure, the t1jpx8ib -oh r:e /)pccork 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 masi eksbf 6,vo6.(b apy:s of one cubic centimeter of pure gold is 18.3 gramsbsfo ia,.6k ve(y6: pb. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water.lk.9 hb c:3au 7w;huyf 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 bo7 b;3klua fh9cwhu .:ybber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of 0edl x-niedfqm4q5 +fr8zr **Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be liftdy h b.4h7)2yexxkma 9ed with small applied forces, is ax)k be4.9a27yxhmdy h consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a container of1e6ob; gnwq d2h8;uq a wateaeg2qd86uoh ;q;n b w1r.
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 atmose4fqw6iu,-bwxf1x2 cx2 szl 2pheric pressure is -xfuexi 1 264,2zlwfcwxqsb 2 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest w nbqjz5 4;9zwhith 75% of the object submerged i w 4bzn9;jq5hzn 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 i 2k 5irrh)l8q af4vp;nron and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and r5a nh ifk24qlp; r)r8vesting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s ball abzy.rc80k,/5pg v nwoon is filled with pure Xenon gas. This balloon then is released from pkwn8zb,g/cav5 . y0rrest two meters above the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the samev9cw1vun w)4 8y(iw e/x;yp3x3dy0v z8kg ikf radius. Balloon #1 is filled with heliumxw inwfp 8g3ywcuk39 (yz1e y0viv;/x )dvk84 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 pipop* hhddo /5dv*)6u o* vvjc0he. 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 speed ofvvd o)o dhh06 5h/*pd*uvjc *o the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as shohh (mf w19 vhg.hr.fp6wn. In which section would the pressure of the fluid be a minimum? pf. v9wgh(.1h6 f rhmh

  07.35: Two objects lss8tc j0)gisj 9jr v).sb* mr(abeled K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces a8.t(jsrb c i)svg*ms)rsjj09cting on these objects?

  08.16: A block is connected to a light string axejx+t xir: /j0/f qvelz3 9fe/h,sd,ttached to the bottom of a large ,xsfzr eq ,ee/vfixj 03 t/ldxh+:/9j 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’svolume?

  15.30: A spring scale reads 2.l0h p++yw:sxf kjhnqf3 h u+,dcsw/ 3050N when a small solid mass hangs from it in air. The spring scalpdj+l, k+q 3 3hffnwc xu+/0sshwhy0:e 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(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a containero(ss9k61n1epe f;kw *)tfi cx of water with 60% of its volume submerged. If thi *o pistx9e f1(;cn6k)wksef1s 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 9s3 z1x- /lkmst1ghdy through a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional ar 13lskh1 my g9xt-s/zdea 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 /dqhge-, joz+5jvo)a marked as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region I, the speed of the fluivo+/o5j) egz -ja hqd,d 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 fluidp:8ri2fe oi qiu t,m,c+c;q6d completely 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 r;6+i qud cm8ir, 2iqfote:p c,egion as compared to the wider region?

  10.47: An open cylindrxlc1iq1x2b 2yical 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 water from the container squirts out horizontally landing a dis1ib2c1q x2xy ltance 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 solw8yovl3fcs2 v r71,dkid 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 swimm;,0 ks)6bjp3; 6 t cvwjkwgsouing 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 mercu 2yyzzqi3ax (;ry (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.