94.17: A cork has weight mg and density 25% of water density. A string is czphx,y6 n7g f*3vxhg gl.5+)xwr6oo tied around the cork and attached to the bottom of a cg p*5z7hg 36gy horlvow 6xnx.x,f+) water-filled container. As shown in the accompanying 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 brz*s2 fv0 u5zunderwater, the apparent mass of one cubic centimeter of pure gold u*f vrb 052zszis 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individuallkoer92/k k1 rvy 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 lesokke/rr 291kvs 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 fngan p27sca6 vny6s49ollowing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted wis0z+66nwz+i ) wrc uosf9um.wth small applied forces, is a consequence of which principle?.60 +zwou +ni6crz) fwsm9 swu

  06.30: A copper block is connected to a string and submergz 1y8 j ai1t4dl:h4xkwed in a container of water.h y8 :dtw4lx1jzika 14
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 andsx:+rib k-qg /7h)qbw 5.0 m wide. If the atmospheric pressure is h g-xw/b7b:q i +)qrsk$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest wi6f-d)(5hb olsz l.yy3p hi y:eaps54 ith 75% of the object submerged in a cubical tank condipyso hp:y6-lya )se(h3zl .bf5 45i taining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube o1hpx va y8-wj8f iron 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 resting on the-8xpyj8 vwh1a 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 balloon then is relx(a 7 jkx jp/2-y.tjfkeased from rest two meters above the ground on Earth. Which one of the following choices best describ2.x yj-xfaktk jp/ (j7es the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same r/va otm7dtif0/7 i+m8 msde.eadius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon omde. m/ adv7 7m0i+ifs /te8tgas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a lowmzi l55udj/2nut.ht r+9 (gg0vo q,xng 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 the speed of the fluid inir5h.qgv2 t5no gu(m t/j9+z du0 lw,x region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as shown. Inc: vnrci5if:8rz4s s. which section would cf ii:s 4cv8r .n5zrs:the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L hayc:df4:2 xcllve equal mass but densities 0.95D0 and D0, respectively. Each of tl4f2dl c y:cx:hese objects floats 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 stgr7d8mcq v, 7wrx;8coring attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational forcov8;wcq rgx8r7m7,dc e 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 in t1fm*5 hhf5efzw-1a wair. The spring scale reads 1.58N when the mass at the end of tht1h1fwf hfzea 5m -*w5e 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 fnup2ob- nofj8s 0vp(;ul ( :s3j *udedensity floats in a container of water with 60% of its volume submerged. If this oun e-:(j;vju3sb 2*spf0dp(o 8fnulsame 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 through a cylindri74 ynwm0uuiqo/g tl* qn((v,)i 7bqc fcally-shaped pipe. At the lower end, the pipe’s croifwun(vn* l it/,buq7m0 4cq7g y( )qoss- 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 streaq3vq,j1 1b gtrmline 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 wha1qbtrq g,3jv 1t 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/um +vzzhka)ghp ) -:x a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Wkpm-:)x a/ ghz)hz u+vhich 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 cowyv zq.l jfq j)g68:l7ntainer 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 distance H from the edge of t.wfjjy gqqv86lzl :)7 he 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 x6jz9q3(n.p eqy rdyp5 f*k6w a solid 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 filled with a liquid having a b:w roo7 mpt/(o:ci(cdensity 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 mercurp2c fu;9tnci7q,6r** zovuk w y (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.