94.17: A cork has weight mg and density 25% of water densveb9p*v z5,nkdj0f ;oity. A string is tied around the cork * ,ved0b;pz5fnojk9v 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 string is:

  01.20: When submerged underwater, the apparent mass of one cubicg s374zaf rl-r centimeter of pure gold is 18.3 grams. What would be its7 lfr3s gzra4- mass in air?

  04.29: Three fishing bobbers all individually float on top of water. B v3rsd/osv6p- obbersA and B have identical masses and densities but different shapes while bobbers B and C have identical sizes and shad ovs3vrps-/6pes 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 i- 8+b21i3ze qaeu:dqni*d84t texub ns the best statement of Pascal's Law?

  05.24: The hydraulic press: wq9 kf5.rk :nbrb.czq 0iu;f, which allows large masses to be lifted with small applied for5rkn :i ;09krwqbqcfz .:.f buces, is a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a container ofdx j (; +ubsq5tyaoz 1dv.6r1e weu1(6 o jqy5vax;z d+r.t sb1dater.
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 55/wph u4afwqwt82 j7l.0 m wide. If the atmospheric pressure is 2hfju 4plq /wwtaw58 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 float1*6,.d.ipe/o jk6wv qc ev5ef g4fzaps at rest with 75% of the object submerged in a cubical tank cont, 1 6gdc.jeq /azif weo56pv 4pk*fve.aining $50.0 m^{3}$ 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 equgc4a *g;pqiew 449t(p zf:zsval mass. The cubes areplaced into the same large pool of water so that easqg94e4;*z4g f:pp(w tizvcach is completely submerged 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 gah++yg ,vg q0yyn.uh- *t 6csmupfe,l3sn 0p n7s. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best descr e*nngg., p+h, 3pcvuh-nq y0 mt76u0s flysy+ibes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radius.c b(:htdj :m4k9y-kpj Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant forces on the ballob:kp yjm (:t-kch94djons is correct?

  03.36: An ideal fluid flows through a long6)nw(9ryr/ym uj lb7 iak4kx1 horizontal circular pipe. In one region of the pipe, it has radius R. The pipe u/nryb6mil1 k7xjyrw ) ka(94then 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 region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross sectioq b puh we-*h.cq1vdl ;t;2+xqn as shown. In which section would t -u2;b +qep wtxq;lcd .vhh1q*he pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 and D3qveqdtgti3aw72 -b :0, respectively. Each of these objects floats afbd-gv37e q3w2:a tqt iter 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 o q5m;q j6a9cxa :iyx-ff a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the block is 5.0N. What i q 9m:;qf6axy ajc-ix5s the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mjabn 2nmuc+.rzl6a87 ass 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 repres2mnrjca68n+ .ba7zluents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown fiai s)).hafgwv5: , -mklqv6 /i)nu zmaterial and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil witg mi,hs)v:lnuzv/qa5.w)-if i a f6)kh 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-shapepbm.m 65 e v4o2r;onoed pipe. At the lower end, the pipe’s cross- sectional areo boee;4r.2mv5 nmo6pa 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 ad 1o(rqaw:+od(f+ip-c 5pbpc n ideal 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 itoopa( b-dd+p cwr1i5+c:qpf ( 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 8)nkypc 4xfx/ 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 p4ny/ x)fxck8the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very hhgmc1t) 7,i 0g4asva large radius is at rest a distance H above the ground at the edge of a platform. A tiny hole develops at the bottom g)hta,a 4smh g0c17viof 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 buu8cd+s yyxne39f, hm28 8cca solid 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 densityv5o4uo7, rnpq 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 (densi 09ltqzi, krxv-r/tc25nr7b g ty $13.6g/cm^{3}$) 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.