94.17: A cork has weight mg and density 25% of water density. A8z 3fh7 f(baes string is tied around the cork and attached to the bottom of a water-filled container. Aah8f7f(z bs3es 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 underb .o8or b2i0yrwater, the apparent mass of one cubic centimeter of pure gold or2rb0oi8y .b is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers asqsglo r5yr3u6y4) )ell individually float on 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 threeoeysr4)g sl 5) qr36uy 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 4h2de wd2oqt6 is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted wigotgi/ z,8q: mth small applied fi8 tg/z,:qgomorces, is a consequence of which principle?

  06.30: A copper block is connected tn xzanz5x9p t8 2gxzt;00dw q9o a string and submerged in a container of water. x dttna; zw0 8gq9px9n5x2zz0
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 preonm9u5otu:unmu 0hm,(h 8ee d /)v:hbssure is um8nn, h/b:(mu :5oudom u)h h9evet0 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg objer qrf o:sghksb2l4u86n6m w (/ct floats at rest with 75% of the object submerged in a cubical tank containin64(lh2s8nk:fqbr 6 om/ru sgwg $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of)h xc n+ *ohctjrfq4w2l (3rk) iron and a 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 greater buoya24*)f+3 qwh(cr rkl jcot)nhxnt force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. Thisfau;5qpmi;*q i )ovb5 balloon then is released from rest two meters abi5;afvpuoq mi;)5*q b ove 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 rad d4 0lfu,log5dius. Balloon #1 is filled with helium4gdo l ludf0,5 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 lqd4ih*rt wogzxfzc *i:67q *4 08 mkngong horizontal circular pipe. In one region of the pipe, it has rg*x8or4m 0id hgqik :tf* nc 7z*64zqwadius 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 j-1d+r6i(ck1idbbcy/z6qb, q( y j ,lveg z9ythrough a pipe of changing cross section as shown. In which section would th(kcdb rji-l,y161y(z+ 9q d/bgbi, veqc6 yj ze pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L9j/ a6*v rgdv*6cg omi have equal mass but densities 0.95D0 and D0, respc* r mg 6/jgvda*96vioectively. Each of these 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 connectedzm03o8pzj*q o m(zentsqq v7: ei88:m to a light string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational 8em 0n38iqe mjtqzzopm7(s:8v:z o*qforce 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 from it bkbw 03 mwm0bav:lgki: u9h3)8 eqfs:in air. The spring scale reads 1.58N when the mass at the enl3 0:)eb9ghfw0 :a3m:biws k ukmvb8qd 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 g2ggnzl:w j,1density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil withz1ggn:lj gw, 2 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 pip-27er0(nzdjmb*nr32sk c/p tj.gjkae. At the lower end, the pipe’s cross- sectizk dnj- n k32bmp(0r r*ja./es2 gjtc7onal 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 xv3v79n yg oxnra. 77pis marked as it 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 Region I. 7. 7nv7ra3x9ogxpnv y 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 na8m uzo0eg,ni1h.k dg3rrowing cross-sectional om,.d1 u0ghe giz83nkarea 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 to the wider region?

  10.47: An open cylindrical container with very large radius is at rest a disbpg t1g3fkm+0xnaws2)d7u s.qx2 l3jtance H above the ground at the edge of a platform. A tiny hole develops at the bottom of the container and water from the containe w1x s.um q0jklp ag3s+n7dgx232tbf)r 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 solimxxv-yzcoxr; -( w01pd 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 having a0 kq dig9pi5flo clsx6w5,jtc0 s b+*: 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 fillvuldis i31 1r.y +xs.bed with 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.