94.17: A cork has weight mg and density 25% of w*sqfm8ac*vljn42 g (8i;x bi vater 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 immersed in the a b miqf8n4v* vl2ij(cs*;x g8water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass avz/5h pje+p) of one cubic centimeter of pure gold is 18.3 grams.j+phz /)pv 5ae What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of wa l7d8wq4 ) p72f9ku y0xo(jylbobazg. ter. 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 the water, which bobber will dq9xjogbb(o7l2pzf .8ly y 04kwad 7)uisplace the greatest volume of water?

  01.18: Which of the following is the bestiz+pyx l/6e7t statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifwk8.udhrzwh/k mi urxp bnw4g+8 )319ted with small applied forces, is a consequenceunhr gkk bw 3r1+9imwdwx u)p8.h8/z4 of which principle?

  06.30: A copper block is connected to a string and submerged in a container s:v d+twj1 dtejw3n 4:of wats jttw3v::1j 4d+dn weer.
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 2wqh( 7cu1 b4ij)enxvlong and 5.0 m wide. If the atmospheric pressure is vjebw7)nhx (c2u4q i1 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 107ar (6u7og 1emijm+(fj *um ov.0 kg object floats at rest with 75% of the object submerged in a cubical tank uu1(m677rm oe*jia (o+mgfj vcontaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube o1zcm 2oziz6 v;rd+fr6h bs if037n+g v m:s5uof 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 gcrzz+r 2v6iohf71ns3+zsv;56d0f ub :mom i greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xeno54l egx.z4rqa n gas. This balloon then is released from rest two meters above the ground on Earth. qar4ge. l 4z5xWhich 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 same radcy4ne . np1e.tius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Wen4 1nt.e c.pyhich one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluiy.;mia2m zn sy9 );krjd flows through a long horizontal circular pipe. In one region of the pipe, it k;. )sji 29yzyar;mnmhas 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 pipe of changing c qxm0 *odn9kka .r0ul2g/vj6 cross section as shown. In whjr9c* 20kxg6ol/ .vdk nu ma0qich section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 anden8f;v,ct va5kpv 0e- D0, respectively. Each of t;,aveft-85vep nkc v 0hese 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 attached to the bottom of -x7kifzl zj-4 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’svo jl4zf x-zk-7ilume?

  15.30: A spring scale reads 2.50N :f5fkt-5ehex19iv z n(ua)mywhen a small solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the ek)f5 xzeme :y 9ai (-h5u1vntfnd 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 a conx/ssm-r7z kr 5boz6p+tainer of water with 60% of its volume submerged. If this same cube were place mx7z5p ssbk- rr/zo6+d 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-shapedov+qub w2w2x,i quy 8,; ytin4 pipe. At the lower endyitu i+;yqbwq xu48nv,2w ,o 2, 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 mark9 mbo/gjy31 zxtgj me6 .5cym0ed as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region m 69130 jgem5ycjz/bm. gtxyoI, 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 that has a narrow l6wi3vf -0he1i1sd dring cross-sectional area as seen in the figure. Whd1e i 3d vhsfi0-1lr6wich 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 lpf .omb3v/bd6s eb+2q arge radius is at rest a 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 horizontally landing a dismv/bfb+. spb63e 2odq tance 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 sol, 0s 5 :un.esx orlfo)drf(-bpid 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 liquid havi.2gvuih/oec8 ng 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 (densite lqsrhb)focy/4jz 0o .43 fasi88 ek9y $13.6g/cm^{3}$) 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.