94.17: A cork has weight mg and density 25% of waterv nkzv-,g5 vfond 7r vu78a2:l 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 water. Expressed in terms of the cork weight mg, the r 87o:2vg- annd5,vfvzkl v7utension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic centimet )xa 8l,qn8 firrpgg8v1f,h2per of purl),fn, g8fg 2p8 vqra1rxhi8pe gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all ) eovno0dp4g/wmzgj26 5 ncg:individually float on top of water. BobbersA and B have identical masses and densities but diffe o2e ncm4owz5:g0gj pd6/ng) vrent 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 best sp m e.wqq(2taj)9l.b jtatement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses .a5 *qh-oeyi hbwy5bri5 ea14 to be lifted with small applied forces, is a consequia5 eh 5qrb -ohiw *4.5ey1ybaence of which principle?

  06.30: A copper block is connected to a string and subqmcsh tfkr95 y. a0nz:vx ,q)(merged in a container of wate 9ah 5.zmtvq0:y(rqxs, k)c nfr.
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 atmospheridep 5 yie;kjdmf4+s 1)c pressure is ;d+fiy 1j4ep 5k d)esm$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg objaj v7(:0qyvy.a-sfmvfk 9 +xzect floats at rest with 75% of the object submerged in a cubical taa.z+mxv-fv jkv qsy79 ya:0(fnk 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 cube of aluminum have equal mmh.atc m q8ie,n7nf xd0o 6,9yass. The cubes areplaced into the same large pool of water so that each is completely subioaxc,8,mm9qfhy.7t0 e nnd6 merged 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 pk(zpnd0ll)9d ure Xenon gas. This balloon then is releadpnkl 0zd l9()sed from rest 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 balloons are expanded to have the same rloyenqq:ydv9. . ) v* av+xcl;wq 7p5vadius. Balloon #1 is filled with helium gas while balloon #2 is filled.*ylyqwn :ovq x;c5v +epv9 va7.l )qd with xenon gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid )u 6adivlll y7r4*fg+ 8zb)l vu;+lk jflows through a long horizontal circular pipe. In one region of the pipe, it has radl;l)zkv v6*+j7 d8il 4ly)g+fulaurbius 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 p(d,3pqk7nal bt 8iwx5((xg l as shown. In which sectio3q( bx7i ,xg8lnp5 p(dlk a(twn would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and Lkx+* ri) n8pe9jdwe;kkc0fq* have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into den0kfc9)k*+qpk; ewxjr i8 * 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 a lar5ap7qx 5 i.l0.x) fhy(hd rnpkge container of water. The tension in the string is 3.0 N. The gravitational force from the ear phal.0n(h7xq fr y55.)dpkixth 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.ur- gmhdv x;5o)g* 8h0iignl* The spring scale reads 1.58N when the mass at the end of the spring is completg)nuvo5mg 8ir;lhi g- 0h*x *dely 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 matez:+r.4j fh1m owx. kcvl)n-ud rial and uniform density floats in a container of water with 6 ):x r l4 cnhvmz+d.-ouwjk1f.0% of 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-qri */iva4 i ,x3r:wi, ezpa*cshaped pipe. At the lower en c4eivwi:r, *paxr/*3ia izq,d, 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 idjv2ar*+ ark2p j dv7o0t es49neal fluid is marked as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region I, 097apkeor2ja*t2 djvs 4+vrnthe 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 fil4i esu9tbsq1q e ax(44ls a small horizontal tube 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 fluid’s speed and its associated pressure in the narrower region as compared tbx 449u( iese1 qt4asqo the wider region?

  10.47: An open cylindrical container with very large radius is at rest a .-b*0hkp -nw:mxrtw en 0cea 7distance H above the ground at the edge of a platform. A tiny hole develops at the bottom of the container and water from the .n-tbe x-:w7 kn0wec* 0 prmahcontainer 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 so tn(xioum(zarl ,* r35lid 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 liqufid esnq21 +k 6p6fhg( fa13qkid 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 withs ge-m 49jp2usw go:9d 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.