94.17: A cork has weight mg and den t ,p9;g5wrv xei8m2wafj 1;krsity 25% of water density. A string is tied around the cork and attached to the bottom of a water-fil9pwri; j5 , vg1kafexm;2rt8w led 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, the apparent mass of one cudq+bzn i * dzxlk-k/3,bic centimeter of pure gold is 18.3 grams. What would be its mass in xdqiz/ n,kz-lbd 3* +kair?

  04.29: Three fishing bobspftmci syvya7x93 ::-rw) 9 o3-jxqzbers all individually 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 surface 9azj-9yp-: imo3 s:vt7c sfx)3yrxwqof the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the ba/ c;k9ld t,tpest statement of Pascal's Law?

  05.24: The hydraulic press.r pdryk smshx6) q:mzvcd4365 3gcgx*o f:/k, which allows large masses to be lifted with small applied forces, is a consequence of which principlm p.6:fcd 5 x4/cgs):y3xzkrkv3ohg6r mq*s de?

  06.30: A copper block is connected to a string and submerged in a contain-4y 89l0b i(y:-e7gdl1khlnwai ebquer of wateli-1lg :e0iaqu4h7wk- y8bl (dn9bey r.
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 atmo txu: l:o4u.emnkay3/zr( d/ bspheric pressure is rk d3(uln:uoe .a4z// b:mtyx$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniw( g63z.6u jan+ok uziform 10.0 kg object floats at rest with 75% of the object submergeda3kzo6(zi6+njuu . g w 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 iron and a solid cube of aluvtv,cy9j z-jv4 4beaf wbn0mj1l 5:1hminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the po c vj14j1ht9w:j54lb 0efm vz,yn -bavol’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon -w a,mkr. 95 kcr-n09x+fdze xfwss2dis filled with 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 the response of the balloon? saxwff-m+5,de 9.9nwkz c2s0kr- xr d

  16.23: At a party, two spherical balloons are ex304tbgl0e u - qnp2wyopanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the fo4pu 32 yleg on0w-q0tbllowing statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In one nws:v 5wnsg1,region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the ratio of the fluid's speed i5:gswvn, 1wns n 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 cros xzmr3q:nn0 1giw p(8ss section as shown. In which section would the pressure pz(xn18mgi: q 30 swrnof the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 and kzllh1rv,n:) daqgg 9z9t.cm+1x )jc D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Wj:xalhd9,vt lccz1gmqg k )r n9.z1+)hich is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light 9qv67l.h 6 9jdwfdplj4e ; gffstring attached to the bottom of a large container ofljvl6f g.p;dd je979 fwqh46f water. The tension in the string 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 reartraa/l2x 0lwd8jp*u8o *w; a3 lz* hyds 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 foll2 p* *jw8; yaz a*lr d0rotu8/hawx3llowing choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a7o /fl96pcguen5)coh container of water with 60% of its volume submerged. If hu) n l/f eo76pc5co9gthis 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 througw:tdpx(hw vv0 i8gj*0 h a cylindrically-shaped pipe. At the lower end, the pipe’s cross- s*vi tph 0w08vgj(xw:d ectional 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 alhoe( hkn:r q/vr.1- huong 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 rahr -hu1 :k e.hvqrno(/dius 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 completely fills a small himbys:m, 91t worizontal tube that has a narrowing cross-sectional area as seen mwm,b ts:19y iin 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?

  10.47: An open cylindrical container wit9hhkfss bsd, x1k32y 8h 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 frohb9 ,3k18fxsk yss h2dm 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 blo* w5hipoh+4 czck 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 lijcn. ,q hkdnf5q nrt0zd .5aio/45bqh 9j6f s5quid 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 lat rj:31 k2m(,be mf6mjc, nrwith 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.