94.17: A cork has weight mg and density 25%,-+vco vfvmh:5d6zxb 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 cb m 5ov:d- +vfv,6hzxweight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of oneydgbv i+b3 oen n5(dep98lm4/ cubic centimeter of pure gold is 18.3 grams. What would be its md8b(l9v 4 bpei y5end +n/3ogmass in air?

  04.29: Three fishing bobbers all individually float on 2gasl )ao *c*eh/4 dsftop of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical sizes and shapes but bobberhd4g la* * oc/es2)afs 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 ofoju8m*git3ukodgnt g4b/zk 6*/v,x8 Pascal's Law?

  05.24: The hydrauliczf2ixp*pp25 :te8x dg press, which allows large masses to be lifted with small applied forces, is a cons:tp p8 25epgid f2z*xxequence of which principle?

  06.30: A copper block is connected to a string and submerged in a contaf:ct xqj/8 d5ciner of watft:c8qx/cd5j er.
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 atmosphz-. n quxld v4tz ,t414td0ka9aubyb ;eric pressure is k 4zzqb4blv4at . dxda 1yt,0tn;u-u9$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and un.68-g ka lviu opbp;9fiform 10.0 kg object floats at rest with 75% of the object su-bip a v;fp8 o6l.gk9ubmerged 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 aluminum have e v o(rc-.a;zojqual mass. The cubes areplaced into the sameazc;r-jo(o v . large pool of water so that 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*r4;+1yyjwn j3lj f-fqx s)nf Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choice )f;q1 4y* fsjj+rfnnjw3x-lys best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have e6 epy 0ii0zb z3x2)d)qu3aidthe same 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 forces on th)dzi) uyi62pexaq 0bdz 30ie 3e balloons is correct?

  03.36: An ideal fluid flows through a long horizon n6 xuzf,cwh xgh9; 5*9l)odpftal circular pipe. In one region of th6* z g)xx,; lnf95dfouhcp9w he 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 changing cross sectio dtf.8k3 edrc1n as shown. In which section would the pressure of the dk8cedf3r1t. fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 anq-5iv/xd gg( ) fn5xphd D0, respectively. Each of these ox55 gqip)(n dv/xf-hg bjects 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 bott*djii .-k7ry gom of 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 is the*ji.krid-y g7 block’svolume?

  15.30: A spring scale reads 2.50N when8q lp4wffca. 8g/9vd2+wd y zw a small solid mass hangs from it in air. The spr 2wvl8. ff pdqw+ zcaygw/894ding 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 density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material a0to2(p:jf.l 8+vz/dfyyu5ixb ;zyh and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in av fuoy/zihzl f52 :bad0x+y ;p (tj.8y 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 ozb;1rdu/p-nqm; fy(the lower end, the pipe’s cr(;/u1ob-p;nzyq drm f oss- 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 aimpf/6- (sdoylong 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 speed of the marked fluid ys(i /6fpdo-mwhen it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tube that has a n2j:vx aq269nxx;q ouharrowing cross-v9 u2q ja6x:;xn2 xqohsectional 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 as compared to the wider region?

  10.47: An open cylinds h+9zl)8kj j2tjo 2eny ljv8;o(gx y4rical container with 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 from the container tv xn+j94s );golyz2l yejjj28kh(o8squirts 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 solixkkm n.m-6y8aqv;uhu8h.f (bk m qw/ 7d 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 is92lyu7yik *eqi p dzmu wkqo.-* eg608 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 filley)b 3xc5c q6tl;cnz7i,gjq o( im *n(rd 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.