94.17: A cork has weight mg and6*- tpu xfsmx dr+ok8- density 25% of water density. A string is tied around the cork an-frsd6ko*m txp8u x+ -d 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 the string is:

  01.20: When submerged underwater, the apparent cc35,7eneqb(, s wdbg,ce0 tomass of one cubic centimeter of pure gold is 18.3 gr3eg q,e,,05bdonct7eb csw c( ams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. 4csradw3)2c5,okcxhw 5 t8 wsBobbersA 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 bo ) txor,as34c cd8c5s5wkw 2hwbbers 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 ;xcuuiqd7h+0uguj grjxxa 1 ,l ).r7*statement of Pascal's Law?

  05.24: The hydraulic pr6od2r-2)k*;h: j pyzleshaofess, which allows large masses to be lifted with small applied forces, is a consequence of which prin* zodrfosh- ) a;j26:pkeyl2 hciple?

  06.30: A copper block is connected to a string and submerged in a containvz6xq-pa,d a. er of wat.avx, -zp6qa der.
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 a5bzlvx.7x1b-s/kyx x8-fdnz7- oilmnd 5.0 m wide. If the atmospheric pressure is .yi z/5-l xnb8x7 z k7xml-d1fbs-vo x$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.5vj: /wo7wxsjm2mozb1y4j/,e m h m-p 0 kg object floats at rest with 75% of the object submerged in a cubical tank containing 4 2:m/ew,-zbm xo7ywjhmo 5mj1jv/ ps$50.0 m^{3}$ 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 mass. Th65s ll.v-2bcu 8,qxg zqb-qebe cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object exper2-, gb -elqc6ubq5.bv lq xsz8iences the greater buoyant force from the water?

  12.21: A child’s balloon is filled fgkf ij8.h)kshw .y 1zl7 ghja5i;hom+9xr:2with pure Xenon gas. This balloon then is released from rest two meters wif sh..gj)yh78azj ; i2r ko5g9hf:hxml+k1above 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 : ; 4(tj7m7r1 unamv h2mqojxn/lu2qhthe same radius. Bal qh a4 vjtu;jm7h(m7x/l2:unnq 1or 2mloon #1 is filled with helium gas while balloon #2 is filled with 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 horizontau-t2vm v1zz+ wl circular pipe. In one region of the pipe, it has razm w2-tv1zv u+dius 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 5;l sad*uw lclz+6gg: section as shown. In which section would the pressure of the flui ;ga*slc6zlu:wd+g l5 d be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 and/i 68 6e2xnor xu9yxjw/q0o nr D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objec 9286r x x6 0wrxy/ijqe/unonots?

  08.16: A block is connected to a light string attached to t- )+jwk ( z xwz:o1-9adufq3iob2 pimnhe bottom of 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 bb-ipak 2x)wz q( -dw+ifumn 1o:jo9z3lock’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs from it in qr5nq iqjdcsc vt )/3ue90m22 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 chosn2 qi 3m 0 qq52ctrcjdeu9)/vices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in cnbxe ep944b)quu 6o.a container of water with 60% of its volume submerged. If this same cube 9e6u)b4 uxqc.n4ebpowere 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-sl6 e+70pxo ipey:v x5ohaped pipe. At the lower end, the pipe:elpp0 7oix5e6+vyx o’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 it moves along zmb/o2j nqq 7r2 6ps-ba 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 j2z7pqo/-bm 2nr6 sq bit was in Region I. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid coob)8+ifne1a- h mv -cmv:x -nvmpletely fills a small horizontal tube that has a narrowing cross-sectional area as seen in the fio+v -:xmh-)c8 f-ab1nim e vvngure. 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 to the wider region?

  10.47: An open cylindrical cont3im7xyx-a i: e (1(ebtf 9oozkainer with very large radius is at rest a distance H above the(z-y(ai 1b:xi3o7ofe m9kxt e 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 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 bm0 vibvqsjjr9rmy g;dr53 .;8lock 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 ligl05bwi5q d6 9i aoy/fquid 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 +r-:rfvi8rsdg9y u (bwith 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.