94.17: A cork has weight mg and density 25% obp2xb-1v8 4jlvf4ya tf water density. A string is tied around the cork and attached to the bottom of a water-filled container. t x4-v14jbpvba fl82y 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 appardl waoa8ia2qr9-97z mlp (-r yent mass of one cubic centimeter of pure gol99mz7 odipq w2--l (arylr8aad is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all 5i1 a)0opagxw individually float on top of water. BobbersA and B have 1)5pawxgio0 aidentical 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 of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the besdb+ihp7 bm 07lt statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with small2u 6bxrjzfzh8e 40h gpk9) w9v applied forces, is a consequence of which prinheb jz49uh 89pv )0f2grxwk6zciple?

  06.30: A copper block is connected to a string and subp*g4j+ );;x g, amn,vleeo4oa/k ujztmerged in a container of water.4,jg+4koave lz;*/ t;)egx,na j pomu
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 tr- lb2il h;arj z4.*i/oozv1 ehe atmospheric pressure is 2 io lvzh- j;.re*b1r/ail zo4$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% of the oba9mar7h/ry s 0 refc(4ject submerged in a c/smrhc74 0er r(faa 9yubical tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube x4) 5dcoqxp;tydr68 u/5y l b 8vycc7c5(bqcsof iron and a solid cube of aluminum have 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 object experiences the greater buoyant force frs586c 85 )d7pqb5xlvb4/;(yq r xcyoyc cutd com the water?

  12.21: A child’s balloon is filled with pure Xen 8t*qfr02wcvkon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of * 8qr2cwf0kvtthe following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to havoy8v igtm 205bx1c9vfkxjfn18sb 1 -ve the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements ibytxv1vm1o sfk12cx f b- v80j8 5gn9about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In one rh(8jgh (t nlh/egion/(h nljh8 hg(t of 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 force-*j nk1uxgl9: :qiqded through a pipe of changing cross section as shown. In which section would the prek1gq*n- u: lidx:q ej9ssure of the fluid be a minimum?

  07.35: Two objects labele7 +eku50qhm:xsuiq )p d K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoya 5q :+)uke07uqmshpixnt forces acting on these objects?

  08.16: A block is connecteynf ze1 i (s. 0bxqicuxiz4.5(d to a light string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth on th . q fy b(4.iz1ziesn5ui0xcx(e block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N 1 afgusl:bj .: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 c.1gs aljfb::u hoices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uni0p4yx yntsc/ )0urq;*z+iqefform density floats in a container of water wxeyi;yt) / q r00 p+4*fsqcuznith 60% of its volume submerged. If this 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 through a cylindrical u,nzjofpc dhu57.mfm2q(e;t .i0 u0oly-shaped pipe. At the lower end, the pio. cthe z05nq7ijuf uo.d,u 0f2(mmp;pe’s cross- 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 horiz3)s;1gmxv6kws lg ah2z w)h3nontal streamline through a pipe, as )wg; z3 als1nw26 vmsgh)x3hk 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 when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tube that has a narrowk(x6imh4sc3b6)pa.. bp pncning 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 assockm64p bpcips 6n.b.x (can)3h iated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical0(1nxg fy6+ t wzrx-vbapf)m6 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 x 01(6)x na6bt fp+fvrzg -ymwthe 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)kh7s6+jpkwzlo h- m3 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 dens ( sg+n6he6u8 r1mk(diry f:kuity 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 (4khbke kg )a2q132uvj 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.