94.17: A cork has wei:hpsel*swg34b +xv2 iv 0/x,f a yhxz3ght mg and density 25% 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 +a s*,3 flbe3zwxp 0s ixyvh/4g2 h:vxcork is totally immersed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged undedsb6hk5-63 xu1itchirwater, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its masbd i6h1t63 ixcuk5 s-hs in air?

  04.29: Three fishing bobbers allyxa;1r:k )lhl vu;uu4 individually 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 i;ku4 :1a vxu );rhllyudentical 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 j9 8jaawkin(1mo)ag*o w3 b+xLaw?

  05.24: The hydraulic press, which allows large masses to be liftef oarn47qxuwwz2j1o pp f+ d,8f8c:lr i8/n0q d with small applied forces, is a consequence of which prix7pp 8a: nfd ,z4w8ufir2 f+8c1wqnr q/olj0onciple?

  06.30: A copper block is connected to a string and submerged in a containerb 8l5p pgcl.x35v jyg tu2j6q5 of wa3jl5 pgbu2p5y .t5g 8j6c xvqlter.
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.qi( t8q-(n2zif dfvef . xhk+1ku+ie3 If the atmospheric pressure is t qke 38izdhif+fq2v+k i(ne fu -x(.1 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 1)u3kh dkmf,nw:22nvx 0.0 kg object floats at rest with 75% of the object submerged in a cubical tank cont2fdmn :nv3,kk 2uxh)waining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of aluminum ha6hy.wz::0j1.at j dosj a. heyve equal mass. The cubes arept: a.oh:dj 1se yjawy j.zh60.laced 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 from the water?

  12.21: A child’s balloon is filled with pure mu bs-eh6y2h5xr1-irv 2yl+-mh 1 jywXenon gas. This balloon then is released from br -e vmwsh1rh- 12lm62-yy5yuji +hxrest two meters above the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical ballory1(tcci 5 0roons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the followt r 5iy(0cr1ocing statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows thr aim5*uync1u) 7xer3mq0r:fp ough 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 region of radius R to the speed of the fluid in regioam7xiu) r pu qmr3f :05ecy*1nn with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross sectio5 ol)1ar+ov8 mcin)q oy8 ;66tkq4 g4xxla gxnn as shown. In which section would the pressure of the fluid be a na)gnq+4 l ix 8o axkt6qvx8mo)y4org6l5;c1 minimum?

  07.35: Two objects labeled K and L hk(ux1 y gx d dp3vjsmy7ll+i54n7:0isave equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after beiivngkxdl3s7 4ms 70 udjx(li+:1 p5 yyng 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 strin0zbs(k-* )da bit gc71ep1pzkg 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 the block is 5.0N. What is the block’svolume?0 k1zptcgb1ka) -sp(dz 7ebi*

  15.30: A spring scale reads 2,pph 4f)f/s*xfd, v xt.50N 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 o fx ,vt)4s*,dff pp/hxf 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 materia 68/orirt. t gvcsa,; smfpy*8l and uniform density floats in a container of water with 60% of 8 mr;sgoa i 6r.t8f,yt*pvsc/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 cylindrically-shhet em(2:n.xv aped pipe. At the lower end, th 2xee:n.tv(m he pipe’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 aso*fg ;f9g)fj p 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 rf off)p9 gj;*gadius 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 c. smwaone67l j9.zb- /mkxug 5t y7 lh42r7zhcompletely fills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Wh5y-hhm.c 7jazns7/g xlk6b 4u.lz 72eo9r tmwich 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 with very large radius is at rest a fqt4j k9m+p pfa; ez9c/p* g4odistance H above the ground at the edge of a platform. A tiny ho4kaz9;fpo/ tqfc*p4m j9g pe+le develops at the 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 auhg;ozrt+hv52 kvxnj nvm4-.71 t:uq solid 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 eah6h;ykax s8w ftyb:r/l dr+;mdqfk --.3/cliquid 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:7 tw; pge/jep9 eka rdhhgz*, 38z-kpy $13.6g/cm^{3}$) 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.