94.17: A cork has weight mg at,j esn7z.bpqm+4v /ib/o8p vnd 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 in the water. Expressed ie ./ioq+8 4v/7jb sptvn,bpzmn terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cu*. r3 eddawh6 im)4awhgpzju. o*6lz+bic centimeter of pure gold is 18.3 gramsph4)zwi.+jz6gad hmrlae o d*w .u36*. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bobberspos dimo,t1+;A and B have identical mas,;p io+msodt 1ses 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 bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pas:)r6cjz2vvyufx ,41lx1 cnk-udtzot 2o 93jwcal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted wit q0( rch a,wm2 ;0vb.g /72bwkaywlfioh small applied forces, is a consequence of w0 arw7cgvwikb m(,22 ly/;0oq.b w hafhich principle?

  06.30: A copper block is connected to a string 0y q2 9c8g lfdpgn0 s.lc41cghand submerged in a container of water. 1 .09cg80n lc gd4slyqh2p fgc
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 atmospheric pressure zfx9 i/f3bl nngpn5+8 kix9ok+e5r5f is 3 ix 9+g9xknr+n5zkno5 ef/ib 8pf5fl $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest wi: ,95rra+gcyjlxo*fr th 75% of the object submerg:xjrc5 r,l +9gfyr*oa ed in 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 l1v h-s* if rm ttmhe0g/iv3:3iron 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 pool’sbottom. Which object experiences the greater bu*lh-t i 3:igsvht 0/fr3mv 1emoyant force from the water?

  12.21: A child’s balloon is filled with p+g vpudp ;+l,uk0hyo 6ure Xenon gas. This balloon then is released from rest two meters above 0 +l ,uphy+d;up6kgvothe 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 same radige0327p7pcfn ht w1pcus. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements f1t pe077cg p h2w3npcabout the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circulbx0a* -ed* (e ya ,jutxh:d0;aq e7kgaar 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(e ,a-tx aedyk 0j*a*dqhbx e:70u;ag in the region 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 shownb yzf58ec3 o0s. In which section would 3 0 szbo5ycef8the pressure of the fluid be a minimum?

  07.35: Two objects labe4 hr8x 8))n1ih.1o pqyvi t2wm0nqqiy led K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these obj8o.xhqhryp1)14 q0witvi)8q 2ny nmi ects 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 string attached to the bottom of be(8fh4zog2 ycn b3v.v c3*nf a large container of water. The tension in the s8 cvo(g33fhfb e bnvy2z n4c*.tring 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 2.50N whtiex* vje q01 hn3-1:yueox l9en 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 represents the densty *oj13e- lx1ie0nh xveq u:9ity of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density fx44 cvy. e 7vqxw oz.cvoy:lt/+ -x7dcss8r a.loats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil with densit. voc. d v7s+qlo4v-4s. y:y8xt/excwxzr c a7y$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cylindrically-shaped pipdunv2bo 58lcl( 4mj1 ie. At the lower end, the pii 4nul1j c82obdl(5mv pe’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 ideat .o +,nzoen ;x.un8m;agqgs5 l fluid is marked 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 in Region I. What is the spee s q8;nt+, axzu g.o;nen.mog5d of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a smaw 7* qux.g/2 2hcfisbwll 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 asw/q7 cg2swbux* 2fhi. compared to the wider region?

  10.47: An open cylindrical container with very large radius ihhl)d46-g84q 3nzz6fl fag s 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 the platform. For thegq6 hzfzng ash) i -64d8l3f4l
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 s-x2sq.2izp6 ( ksxhotolid 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 ifwf(skms+ 0i *7i 9wlbs 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 fi 5f0vyex moxl 4x,u/e8lled with 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.