94.17: A cork has weight mg o:iznz9s5.l5t3 (cvhy n*ejnand density 25% of water density. A string is tied around the cork and attached tht e*5ny o( nl59szv z.ni3cj:o 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 weight mg, the tension in the string is:

  01.20: When submerged underwater, +cuosk; q-+:)gcts3nltwk3 r the apparent mass of one cubic centimeter of pure gold is 1w+ u;)3 kctgo3k:t+n l-qcrss8.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individuallya6pthzw6 dc7,1o.n f q6ias:m2 wye :m float on top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C havm:w 7fh.q:pysa om6zn, 2cwi 6 6tae1de 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 best statement i x.m,pwp3v:zof Pascal's Law?

  05.24: The hydraulic press, whic7ja2: p)gvavq d5r4a bh allows large masses to be lifted with small applied forces, is a consequence of whica:d)avg7pavq52 r j b4h principle?

  06.30: A copper block is connected to a string and submerged in a containybfyab59 6cr9u 4cly; er of water. br9y59;lyabc4 yuc f6
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;py99hag ou+ 2d/jrx w. If the atmospheric pressure is wary + d9;2go9pjhxu/$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest witsepg qssjwa1tn; ,x 3mp71p0,h 75% of the object submerged in a cubical tankp p 1 a sqss1mtwp;7n3x,j,g0e 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 have equal mass. The l--tp1c cceuo(bv ;)+ 63qu d *dcysuncubes 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 from the wate-ub;d yc(sot)3-upc1l q*+vnd c uc6er?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloon thef*+eb)ivfz 4xn is released from rest two meters e4bx)+ zv*ffi above the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, t t6i 8d4+(dp sbwn jv.9x,geykwo spherical balloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which onewdx4n+dgs,bjp. ( k89iytev 6 of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal cia;.0 cpsx .*np bi,etarcular 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 in ppn*i. ;e . 0x,asctabregion with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as showrt2 oqz 0b)u0tn. In which section would the pressure of zob0tq t2 r)u0the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densitiesrw,aqk 2/ xufnl/bertwxw5 16gmtl4/m.c * 3z 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swmrxq*3l/nm/ucfkw 1w ta2z,./bex r tgw65 4 limming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to zqbpq /(vncc,t /)du7 a light string attached to the bottom of a large container of water. The tension in the string is 3.vz p,c/bqq)t (d7n uc/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 2.50N when a small solid mass hangs fromn 7uwp bw0,c/s it in air. The spring scale reads 0cn/ 7,wpw bsu1.58N 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 materiao h:.aym(ip b3l and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a comi (hb: 3y.apontainer 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 low1e(ucd:8t ju cer end, the pipe’s cross- sectional ae8(tu uj:c dc1rea 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 strea5;fvaoy xnjyf0csr6 t1r+p3ss s 8r: 4mline 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 speed :pssf c5rfr3sx6yy 0;rso1 nj+ va84 tof the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fillsa8i 0/(qhnvq r 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?a rh( n0q8/vqi

  10.47: An open cylindrxu8g(u 5rb:)as vec: eical container with very large radius is at rest a distance H above the ground at the edge of a platform. A tiny hole develop e vaub:r5gu ex(s)8:cs 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 cub yfvn/kk;z. ,gic 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 /kzse s-eh8+ju(nun -tcy 6x 8with 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 mercury t(5v; xtumy* pbg3pe1iiam72(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.