94.17: A cork has weight mg and ew x)1a 3-wbx++ 8tvgraia6wndensity 25% of water density. A string is tied around the cork and attached to the bottom of a water-filled -a)ww ai3x1 +6at wv8ngb exr+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 cubic centimeter of ,k(4 (nzt8,saw5e 6liyygwwpa:t nv7pure gold is 18.3 grnlwg7,va56(y4 t wynz :e k pw,i(sta8ams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bf+nb hg .;/t(fvpn q:j.avlu 7obbersA 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 of the water, which bobber will displlvannpt b7 qg;fv( .ju+./hf:ace the greatest volume of water?

  01.18: Which of the following is the : 4ilkwej) nc9best statement of Pascal's Law?

  05.24: The hydraulic press, which8dtbrx;pdy * ( allows large masses to be lifted with small applied forces, is a * pd d;b8(tyxrconsequence of which principle?

  06.30: A copper block is connected to 9c tn )ikmc0s7a string and submerged in a container of wa 9it)csm0nkc7ter.
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 22ldorqb76v i-; .0 m long and 5.0 m wide. If the atmospheric pressure is qrb;v7il 6do- $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 6p(j-5fqwlc ;1 padw tdi)ur1qp 4r8 t10.0 kg object floats at rest with 75% of the object submerged i1pwudwpa;6dclti8j(-p trf1 r 5)4 qqn 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 iti0;es r1a *:ra0 iyhwron 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 greaahysrw*r 0it 10;a e:iter buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. Th,8uhl4rblmpli5w 6 /sis balloon then is released from rest two meters above the ground on Earth. Which one of the lum5 ,l i6lpsr hb84w/following choices best describes the response of the balloon?

  16.23: At a party, two sph0g+naf 0+aoonerical balloons are expanded to have the same radius. Balloon #1 is filled with helium gas while bal+ g ao0onnfa0+loon #2 is filled with xenon gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows thraz/2c)exoc g4b b:m/xough a long horizontal circular pipe. In one region 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 re ao c2/):bx 4bxe/gmzcgion of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced thm0-t smp2bic;n4nx o5rough a pipe of changing cross section as shown. In which section would the pressure of the fluidi4tsnn 5b 2pxmc 0-;om be a minimum?

  07.35: Two objects labeled K and L have equal mass but densit(w(uh8h7 b 6:qakf xuhsc/n: lies 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is trn7(a/ q(h68su:kfh :cblw xhuue about the buoyant forces acting on these objects?

  08.16: A block is connected to a light strigm /cepsxi,:t 5wcw -4ng attached to the bottom of a large container of/-cp4e 5cgwi wt,:s mx 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 reads 2.50N when a small solid massk r9hq :s1fc3o 0b0ft(ipv+c o hangs from it in air. The sprrq+ivc3 fps(f: o0c o0bk1ht 9ing 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 and unifo d1jra qbc0pkhn m:50))mgpf+u72dk9r+l zbtrm density floats in a container of water with 60% of its volume submerged. If this same cube were pbcrjb7 2zp90+r t5fg1m qn)ukm+hk ) 0ladpd:laced 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 idewyx b9l 13mn1rally through a cylindrically-shaped pipe. At the lower end, the pipe’m1w1l xr93 byns 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 idea ;0r :dlonmtz,l 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 it was in Regi,r: d;l zo0tmnon I. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid com3-pv r*1gdgrspletely fills 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 the narrower region asgs* 1d-rpgr v3 compared to the wider region?

  10.47: An open cylindrical container with very large radius is at rest q3*m7vgl r7d la 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 squirts out ho7lqdlrg v* 37mrizontally 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 sor)ktbq xvgq:u0. :ubvu/ kr:5lid 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 filley xwf,ea -gobn20q;a.d 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 filled with mercury (dxyu +eo9 .i*kh-ulpp-tib r; 4ensity $13.6g/cm^{3}$) 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.