94.17: A cork has weight mg and density 25% of water density. A strin17c nyles ;f07qvagot6qa z ,sx *00efg 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 weight mg,e 7xen;f1q0*00 s ac7 gaqlyszfo t,v6 the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubik0c(aif) 2jdev.e(o fl-vef*c centimeter of pure gold is 18.3 grfidff( k jv ) -(la.0v*ece2oeams. What would be its mass in air?

  04.29: Three fishing bobbers all ind 7h,ht84u) ufbi bxs;jividually float on top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have id; )bsu u7i,fjxh8ht4b entical 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 of Pascalqz+0p ac+bdr/8fx)0hbu 9 k 0ekuv7r i's Law?

  05.24: The hydraulic press 4prfvcw6tc)tg9)- dtd9kec g( ao3(ju,kx0f , which allows large masses to be lifted with small applied forces, is aftat99 ckrdg, x(c6j3ktf0 -(og4)udpc v ew) consequence of which principle?

  06.30: A copper block is coo:7 nj .wzwlf7cl ,mr0nnected to a string and submerged in a container of water. z.jlnmfc,wr 0: 7w o7l
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 22.0vd/ qt 24 ()14ub7iep x3dzbhxa zdf2u m long and 5.0 m wide. If the atmospheric pressure is i bz/241t34d)fp2d xazubdq ehuv(x 7 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floauu6ziaucu-x2gk8) m +ts at rest with 75% of the object submerged in a cubical tankimkza uu)c 8ugu-x+62 containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of 0q n)ae .i3v-b0cm rdkiron and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely sub3b v)rmaindc-0e. 0q kmerged and resting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. Th p2tn99dow1ax is balloon then is releas apt9dw1o xn29ed from rest 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 balloonct1i: 1wg8kv7bv a,eys are expanded to have the same radius. Balloon #1 is filled with helium ga7 1ygviavk1,w:tcb8e s 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 rcne.x nr +43djlbwb5z0ll mirfd.6/7egion 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 rewze6 4l.mrrl/jfdx3cni.507 dn+bblgion of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as shown. In tl 8 x p-bz/fsqi3 hxa6h,b:b0which sectib-h3sb6px lx f8tq z abih0/,:on would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass ij+ l6d5q0uqs rsrp;*but densities 0.95D0 and D0, respectively. rdq 0j;r q5+p6su*ls iEach of these 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 connec t85wy;:b8kmdn fdeb-3vjx 4*n ij (tyted to a light string attached to the bottom of a large container of water. The tension in the string is-wykdnt5b (;mfxt3jjne8b*4 d8 :iyv 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 2.50N when a small solid mass hangs fram3nw2aq-u 4bl*pq /zjwau-0om it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely submerged in a containe maa bq-/u-luqp4ww0 *j a2zn3r 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 unknownq,ioiao ,*scn 46j +pw5w ew:yk(p dh3yt;ft+ material and uniform density floats in a container of water waodpqwty*k;i n s3wycoi54,:6wt++ ,(hfep jith 60% of its volume submerged. If 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 thro+*sbvsinh(n.n/rtuhkd2 42 b ugh a cylindrically-shaped pipe. At the lower end, the *r shndnt nuk/+s.hb(2i4bv2pipe’s cross- 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 markgm s* n)aai*8x9 4kx3io1qvbii46 cid ed as it moves along a horizontal streamline 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 i)8nic9i3o d64 *xbi4akvm* si x1qagi n Region I. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tube thge;tlr 7*( pmhat 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 t7r(p lhg*;m enarrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is at rest a disteu6a tp8cczci9:) p 8tance H abov e)au98cp8cz:c6ittp e 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 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 r( 9: jhgfb/vb7v0 hk3jjy 9:ortnv6y j2k p/wblock 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 s2ng2 mc 0cia;bpe46 jfilled 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 mebj kx . jx3ui825o ut2c4/,f9axgpminrcury (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.