94.17: A cork has weight mg and *i: edc5uswock:a8nvy n87q5density 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 in terms of the cork weight mg, the tension in the strinnye8scqv nu*8 7ia:k d5:wco 5g is:

  01.20: When submerged underwater, the ar4 ch5cs usx+7pparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its massxc ucsh7r+54 s in air?

  04.29: Three fishing bobbers all individuall*wys zb8c w20opp. a,zy 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 less mass and density than B. If three identical weights are then tied to the bobbers and all three are pulled completely beneath the surface82czap bz,*ys.po w0w of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best stateih:pzhu e 1x/th/k2)iment of Pascal's Law?

  05.24: The hydraulic press, which aa7p,o7e* aosw,u3zec llows large masses to be lifted with small applied forces, isua7 ez,,c*s3p oe wao7 a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in 1o/ d3 jm ttuaxr942lza container of water. dz2m3r4/la9 jtx1o u t
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. )lss+b1c 5 isk sd 6w17hesjftlnj+ql2e:9 k40 m wide. If the atmospheric pressure is +b:nle17l s6s)dk c1 htsw+ss4 52e9jl kqfj i $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform x y7 e6ldo-3 y(*xcjkn10.0 kg object floats at rest with 75% of the object submerged in a cubdx7y loc3n6ey- x(j k*ical tank 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 havex)u*oc5kya sr 8t n(s3 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 objec5 nss(auo3r8xc k*t y)t experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled witp:xtu+q4 x:)rort6 v3cxzy6gh pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes t6gqvcx4 yrt+ )rx :puz:x 3o6the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to haveq)dy;m5nu zc 3 the same radius. Balloon #1 is filled with heldu q)5zcm;y 3nium 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 fluidlwqb 65;aqcx+sk 5n6y 8+ra vp flows through a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What i+arxv6wqn6c k58y+ p5 sal;bqs the ratio of the fluid's speed 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 shownt-nrnt0f 0p n2uh-0zu . In which section would the pressure of the fluid be a minimu -un-p0nht trnz0u 20fm?

  07.35: Two objects labeled K and L hav - 9iy-1qomqy/nn8 pub/i jb3se equal mass but densities 0.95D0 and D0, respectively. Each of these objo-i9bb/iy/sm pq83n-nuyj1 q 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 thee,vmn3 v::dq//. v 6hfrvp utn bottom of a large container of water. The tension in the string is 3.0 N. The gravitpte/murv::dn nf3/v . vq6,vhational force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale r6*e)l2s/e:nnul2q hze m*eln eads 2.50N when 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 r2l) *:nz/h e ullem*6e2qnsneepresents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a containx1 u,h e4hdi2ger of water with 60% of its volume submerged. If this sx2dhe4i,uh1 g ame 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 cylindrically-shaped pipe. At the lower enr1gt,x2p: bojjgrk 9/d, the pipe’s crossg2k9g pj /1jbrxr:,to- 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 horkgrp4ibdfz ,*ovux0 g5o:19 e izontal streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the ste fourvxk,9g041dgz5 o*:bpi reamline 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 fluid coi/a.ucl3,;r cpuu; nympletely fills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the folloic rl.;y ,u3un ;p/ucawing 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 container with very lar mt3s-yj l)j v11s3demge 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 hod1 jv3m3 y1m)j- lstserizontally 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 soli7 sxwa-,nb::nsd.yje y/xnjin 6g7:i d 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 density of 1 fe,)1x3aj dsya+xri $500kg/m^{3}$ . 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 filledsuftvbo(i (mv/ q:k 92 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.