94.17: A cork has weight mg anh. nh9s2 y+*mnk s r;juiryro5u c6)1pd 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 cork is totally immeh rnrir+* 9ss;12 y.u5n6 mju)kyhpcorsed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparewkn7n*wd s 8civ,yt(8nt mass of one cubic centimeter of pure gold is 18.3 grams. Whi w87kdw ynctnv*,(8 sat would be its mass in air?

  04.29: Three fishing bobbers all individually float oncvf3)pdrc1u 5 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 identical weights are then tied to the bobbers and all three are pulled completely beneath the surface of thec5d v)u fcr3p1 water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best star p:jcje299be y;dm)7)ui.apkrma 6 htement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with sml9z1qj0 szjv.19 f blsall applied forces, is a cons1lj qvz.0j l91sz9 bsfequence of which principle?

  06.30: A copper block is connected to a string and su-bx6e5p ud gm(bmerged in a container of wa(gpm6 u xbe-5dter.
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 atmospheric pressuzyzv3)mfoq 9 t-sg)x;re is gsvy3z)ot9x f) q z;-m $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10. :.f)tcm)cfhv2 lak;r0 kg object floats at rest with 75% of the object submergmt f).fcr)k2: hc va;led 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 rjx-m3msvp+ue6ew jd-va;y3))n ve :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 greatp )e-3vwj3 u ;-)rxvvjemnedm6:ys a+er buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon eowr2qb8 tq:tm6bgm8/mcg +x w/3*p3, vdpjs gas. This balloon then is released from rest two meters above the g vc /2b8mgqmq r/*btp j 8,wxogw3pt3:6es +dmround on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, t zf u4u(e 8yo )w(pus )tibgu*k+;/pdxwo spherical balloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with y;p (duu/)kwi8ef+x4tzub( sugop )*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 horizonig9at ;kzm,*g qs6*gqtal circular pipe. In one region of the pipe, it has radiuzkaq is;6q*g m9gt, g*s 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 pipe of changing cross section ascop(y;oz82 eojcmku 8 l*d.i) shown. In which secti(cylz 2c dkeojom;p*8u8). oion would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L hf 7 4zqd1yi*u kpoi:5pave equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swim p5k:*iop1q uf7zd 4iyming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attached to the bottom of au) l1r*cmazp78a5mte a(s. k j large contai a*.rpaesz1j t 7m8 (km5ac)luner 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?

  15.30: A spring scale reads 2.50N when a small solid mass hangs fr yy5 f,l1 qi3ac;plt8o tsv8z.z; jn(qom it in air. The spring scale reiva3zl.(t 8 q5,synj8fclty ;1qo ;zpads 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 uniform density floats in a8r g hrk+d92-yyg:3eaoc m6px2 n9dzq container of water with 60% of its volume submerged. If this same cube were placed i yg2nahckod9 p6x-d9qg2 :ey+z3rm 8rn 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-shaped pipe. fyf(ljpc1uws t/n01 45kppo, At the lower end,(l ufs410nyotc/ jfwpk 51pp , the 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 as ittml s1yb6,j b,g e6p9jh7fc7w 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 Regio bh76smt7 yjeb p6clgf,jw,91n 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 ha hl kzfzp8qd)ad+ :*,ss 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 narrowdzsfz )ldk+h pa:*,q 8er region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is at rest a y) 9 f :i/d9 .vdgneyfgz,ie1gdistance H above the ground at the edge of a platformdevgdyy:),n.f/ig9g 1i ef z 9. A 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 block is g (jh5b7ccmb/uiven 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 filleczi 616 ix4bsud 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 merc.+i)kzhvhn*l 5hk8xd ury (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.