94.17: A cork has weight mg and density 25% of wateq9+q:m3 u nwckr density. A string is tied around the cork and attached to the bottom of a water-filled container. As shown in u3+kw:qnmq 9c 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 centimetpxe 0ucbq1* dn-qc4g3:hq6 ( dzve ve,er of pure gold iu:0vexh6gbq4p d,ve dc-cnzq e(3q*1 s 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. B jg wb3r.:b bgobb7syeb d.);:vo(up: obbersA and B have identical masses and densities but different shapes whi :ogbus:br.ob3vyj; :7b)bg epwd.(ble 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 best statement of Pascal's Law?)e7 ja,y+:wvtgm rt/:q d -o,a: jnoyd

  05.24: The hydraulic press, whicp f +okjg)4*cch allows large masses to be lifted with small applied forces, is a consequence of * gco+kc4)jpfwhich principle?

  06.30: A copper block is connectedi3 dq;.:qpk co to a string and submerged in a container of watdoq.k i3p;c: qer.
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 at55+ wj.c8kvgnk. +ntkb vmp(f w mih3+mospheric pressure is jwf+iw+m8n c.bkgn 5h tv.5 +3kpmk(v $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floaq0oigu 4zm ,sc5hn f3ib,- ,ygts at rest with 75% of the object submy0-ziuf qimb,5gc 4g3 ,o,hsnerged 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 equ .l* n6vj2zx2 mcmvp8hal mass. The cubes areplaced into the samelmzc86*2 hmvpv2.x nj 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 Xenon gas. This bal0s7)2 hyw net)x8 3 otbvbzoo)loon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response of the balloonnb)b0 h o3)v7 ywoze)28sttxo?

  16.23: At a party, two spherical balloons are expanded to have the same radiush fw2o8 6xnd:c. Balloon #1 is filled with helium gas while balloon #2 is filled ww 8no:xfd2ch6ith xenon gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pip*uswsrm t ahf4p+5s-f7c 9.nqe. 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 region of radius R to the speed of the fluida+ssf*nr w mc4ps 95.7-huq ft in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing a tx uaa(bk3um ;ln86;cross section as shown. In which se 38a6ub(;a umt lknax;ction would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mauu 4 w9f88xuwnss but densities 0.95D0 and D0, respectivelux8u 8f w9unw4y. Each of these objects 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 strie5r4+h7ftse-:9d fj 6s qzpkong attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational forcete:57qef-rj 6 kzphf49s+ds o 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 it i15 wc2ucbmpmxmj+w 36n 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 represents the density +bw65pwx mc21cmj um3 of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown mate3 (7n+xjex wr+b hk1(xm:vxvo i9ab )frial and uniform density floats in a container of water withw xh+fxaorb(nv 1mb37xe +(ijv9k :)x 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 cylindricallyvi3aiu)gt49d -shaped pipe. At the lower end, the pipe’s cross- sectional ar3gau 4vtd) 9iiea 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 marke*o q7bbot:w ;3mvr 2nvd as it moves along a horizontal streamline through a pipe, as shown in the figqvbnmo ;t: b2vr w3o7*ure. 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 smallf maftns+i3(x o;)5pp*r ,;,cr hrg ou horizontal tube that has a narrowing cross-sectional area as seen in the figu3rgsh; uopr ( rmx5pc,t*f, )a;f+oinre. 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 cylindrical container witl5) yxn7o/6 xvwzho)b29t ppu h very large radius is at rest a distance H above the ground at the edge of a platform. A tiny hole develops at o6 zpl5ux/wbx7t2)phyv9 )o nthe bottom of 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 a solid cubic blockr68 ;-ife 1ehjnd vwg0 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 liqukfz8:t7qz , ge.6w souid 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 (densit kf+08.t+u dxjoky0 ujy $13.6g/cm^{3}$) 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.