94.17: A cork has weight mg and density 25% of water density bymyctd6(o9odj n l nn6f.;jry/1 ,v+. 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 te6njm6,try9+ lj (voc o1dy dnfy./n;b rms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mas kz3(be 4fk8rrs of one cubic centimeter of pure gold ib8rfrk4 e( k3zs 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers alh b/6. o(:ip fc8djawml individually float on top of water. BobbersA and B have identical masses and deo.h b p/:wdm(fi6c8ajnsities 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 displace the greatest volume of water?

  01.18: Which of the following is the bec * ka zhus546vkc1 cyn/4ax9r3x-y pqst statement of Pascal's Law?

  05.24: The hydraulic press, which8geg5mx uze s,79*ytl allows large masses to be lifted with small applied forces, is a consequence of whic5z*ex8 sg7tlguy me, 9h principle?

  06.30: A copper block is connected to a strin 0dyny0)oa ;iqh uy*w(g and submerged in a container of watehy*d;iy0( )w0 anouqy r.
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.eo.r2k/p0s au 0 m wide. If the atmospheric pressure is e/02ap r.uoks $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% of the objec71va8qptq u.(( ube8d+rlyxu t submerged in a cubical ta8tayvuqr(+ 1pl8q (7d .uu exbnk 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 m6hgrmu y 977ncube of aluminum have equal mass. The cubes arepg9 ym6h num7r7laced 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 Xenon gas. This balloon then i3h06ek oqv pvnk.qj(ve7+ y2is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response of the vk37k+ .e qy2ivhj6v0 o nq(epballoon?

  16.23: At a party, two spherical balloons are expanded ib3dim k9i s2*ca*)g:x(f qg4swiv z,to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with ,kb(s2waf9z*)gcdq:iiii3vg m s *x4 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 horizontals4jrd6h h*h-y)4f8lcd/c zrk circular pipe. In one region of the pipe, it has radius R. The pipe thend4 k -r hz/s)fhrc4l*d8 jy6hc 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 crostx3u, r0/y f9 gevckr.s section as shown. In which section would the pressure of the fluid be a mi9yu/vx. k 0cr3rftg ,enimum?

  07.35: Two objects labele/j/q :a)j ps0r rrs6kw51szan d K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant foraswpn as06s r)jr/j:qkr15z / ces acting on these objects?

  08.16: A block is cotylj50ye0/m dfjx 93 kudw,k3nnected to a light string attached to the bottom of a large container of water. The tension in the string id3 fwyx0 /,309yjkkldutej5 m s 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. -3mipeb9d g;.dtv 5qg50N 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 of water. Which one of the following choices best represents the density of the solid mass3;vgi-eg5 bmd q .d9pt(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and unif6mc ldpf j4w,ui*3em.5/e pmu orm density floats in a container of water with 60% of its volume submerged. If t3pwdp4f m5 ,e emu.6lumjc*i/ his 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-shaped pipe. At the lowema(i x 62hr-finj :a:lr end, the pipe’s cross- sectional alhamjn2:( xi 6r:f -iarea 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 it moves along a horiz)yl5prpa-w.j* j)b o ab )c8jlontal 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 narroj5) olp)b-aj cal p.bj*ywr8) ws 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 narr5a1/ xks9y id8 3g8x:16qcp nfaqh lid1v 8jtfowing cross-sectional area as seen in the figure. Which ocji8 q36avnqy815lts1x i d1kh8pda9/ffx g:ne 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 kxp(oqaf - 3f+yvf+o*large 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 conta-+ (pk fofq3x+yfvo* ainer 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 sxhzgf ,6atum j:5mugb:n9 ;y3-vis; 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 gwgimuw7l:+j*w4i g3 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 mercury ((r5/w cbugd2k9y lf* vdensity $13.6g/cm^{3}$) 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.