94.17: A cork has weight mg and density 25% of water deeh / 8qcnam10,cfovy:,j gni2mhs)3m nsity. 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 weight mg, the tension in theevos, 2hj mc )n3/g0 :1cyqah 8m,fnim string is:

  01.20: When submerged underwater, the apparent mass of one cubic centimeaub md26 :hv)nms5cv) ter of pure gold is 18.3 6 m m2sb5a):)hcvnduvgrams. What would be its mass in air?

  04.29: Three fishing bobbers ucjrx y:s)x, -all individually float on top of water. BobbersA and B have identical masses and densities but different shxuy sxc jr,):-apes 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 best so x2l lilbwdhjbc wk, 35-p/,1x7aj2etatement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted withz6ql 4vn6-zpcub 09-ma r eaz. small applied forces, is a consequabm964nr 6 laep-0uqczzv.-z ence of which principle?

  06.30: A copper block is connected to a string and submerged c: .dwj kq w29rpnbl+2in a container of watejw2w2d .+ 9clrqb:p nkr.
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 andgkli3 wosop8erq02y)u9 h)c v0 avui/2 p:o*f 5.0 m wide. If the atmospheric pressure is 0r239s*oopu ca2pi hvgy /):io vwqu0 )8ekfl $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats ai tija .4x2,sa- qt.uht rest with 75% of the object submerged in a cubical tank containin -tqas ja.xit,uh 4i.2g $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a zzd0/ q9txt/g 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 from tq/9zg tz d0t/xhe water?

  12.21: A child’s balloon is filled with pure Xenon gas. 0wp0. t 7tcrm2 ufa3lz *vg08l l8hphyh9(nddThis balloon then is released from rest two meters above afl 0nydzu08m2h7chpvl( *wr0 pt9.8dtl 3 g hthe ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same57io +ix+hhtf radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements ah+i+7 i h5txofbout the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a loy ixqn9fdxze( 0w;m9-ng horizontal circular pipe. In one region of thwnx (- dxy;9f0imqez 9e 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 pipia-9 xjs70gmq ) ak:bbe of changing cross section as shown. In which section would the pressure of the fluid bxbij:7 bk9a) gs0q-mae a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 and D0,ps5+ u wcgd xm/k(4s2+sfm -lb respectively. Each of thes (b5upssdm sgf-l k+w2x4/+c me 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 string ot e0sl8ij,l7o u.p)aattached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational fo8po7 alet o0.)ijl ,surce 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 in air+d/p,reyx;.wl- pk 83t (-tsj qbw tpv. 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 d3v/wp-e;8-jr yt+ lqp, tp(w stk x.bdensity of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uni)x4f9y yjsre ;form density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil witfy sx 4rye);j9h 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-shape6hzjbb.w.(v 3 ,wyt phd pipe. At the lower end, the pipe’s cross- sectional area 6bh3p(,.wb.vtw zj y his $ 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 m+cyxu- gl)tv-m : .dpnarked as it moves along a horizontal streamline through a pipe, as shown in the figure. In R.l g-c- t+npdxy: u)mvegion 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 :it81xsvjfo9 gg;k .s/9 fwdr 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 flg.j8:tvd oi1 k9f9;gsw/x sfruid’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 rkt..kdk d5*m4e sa1f iadius is at rest a distance H above the ground at the edge of a platform. iadk. t15ed *.mkkfs 4A tiny hole 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 a solid cubic blox8(), v8vjcig/fijqm6 r:mc a ck 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 liquob yfn-*m307vux chu 0id 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 witl 2u:4m7izxz c,hcx9hh 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.