94.17: A cork has weight mg and density 2*:) 6)jxm hydrasjk:f5% of water density. A string is tied around the cork mxryj:)jfk s *adh :6)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 apparentji h2 7zl05a.u)mroru mass of one cubic centimeter of pure j0mr7h i .2u)uorlz5agold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all indi+ox h, r)pl277z-nmhv5+wntvqaz )xl vidually 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 compl nlo2mt7rz q)h hwx+zvlxv) +57n-,apetely beneath the surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following px*;*h ;dukx nis the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows jx; jg /nyq5cfa5jmzu r. 39cs4b)ja;large masses to be lifted with small applied forces, is a consequj ymg .j/rqcjb5c; 9a);n 34xsazj5fuence of which principle?

  06.30: A copper block is connecte vu gw)5g3 di*p*7azxcd to a string and submerged in a container of water* 3pd wu)gxg*57cazv i.
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 atmosphercqdgu; l5q -*a/i7) mqm6d7g,p wwoaj ic pressure is ;/, dl ug)oqaam di65gw-qwm7*p7 jqc $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 7jhs+ j0bl6bvmz3 (m/f5% of the object submerged /lhbj 3s(mjmvb0 fz6+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 irong,hnkhvlc6 w31sh m83 and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so thhvnhh c ,w1l68gm3 sk3at each 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 gas. This 7zl3 qmp4)yaqo;f2 yi balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the q aofi2;qlmp7y4)z3y response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same 0yf smszzzh h.;4o;b*radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant f;*o0zbyh zf4m. sh s;zorces on the balloons is correct?

  03.36: An ideal fluid flows through a long npxhf/ kgo x573s rd9a2:xkt1 horizontal circular pipe. In one region onfhxdkt sx12 3g o:7/95p xkarf the pipe, it has radius R. The pipe then 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 -d73+ n-pys pvmr2(2bbzh j;hedz )zschanging cross section as shown. In which section would the pressure of the fluidh-n );rpvh7d db +b2ez( s3zy-p mjsz2 be a minimum?

  07.35: Two objects labeled K and L have equal mass but densxyjf/i 0dq0n+cx g13g ities 0.95D0 and D0, respectively. Each of these objects floats agdiy 0/301c qj fn+xxgfter 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 a 8ifi7s gdq)f2k v99mp. kzja- large container of water. The tension in the string is 3.0 N. The gravitational fajg89k7dip.zq fm i v-s)f29korce 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 from iida ldnbkz*(..8m 8bjt in air. The spring scale reads 1.58N when the mass at the end of the spring is completely submerged in a comdj *8nkl (az8db. i.bntainer 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 unknown material anddy. lkbu5mo9:o4t8h .r1otg 8ho3k ov uniform density floats in a container of water with 60% of its volume submerged. If this same cube we4 ygdklv15r.o ho8 t3.b htou mo98o:kre 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 cylindriz;aigwu.iy rywq 0+jd0p)k-0cally-shaped pipe. At the lower end, the pipe’s cross- sectional area i0a ;-yidgi.k0+wzq u )jwy0rp s $ 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 flui-zw7tl/oa8 qvm i:4qid 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. t48:-aiv7 qmq oz/wl 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 tu )(anww o8 ;bo1;syyehbe that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best des;web yw1a8sh o)y(no ;cribes 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 v;bkvrj0)g9f 4ztx0n g ery 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 contax)b jz grvgk t9f04;n0iner 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 block is given as;* o5mr8pt qgp $ρ=0.750 g/cm^{3}$ . 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 y7.7p.frd,fqaqw p.k $500kg/m^{3}$ . 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 fifym:0 lq jjizp0 -3/eblled 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.