94.17: A cork has weight mg and density 25% of water density. A string is,srvhj/v mfeenqe+;j5 1xezm1d /,7 r tied around the cork and attached to the bottom of a water-filled container. As shozndj efmeq+jv,1xe71;,mr/ 5vesh r/wn 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 mass of one cubic centid) q48p.ef (51 z itdf.alyu:lppa7 okmeter of pure gold is 18.3 grams. Whalf1al8a7eiuf qt:p.yd(d. )pp zko54 t would be its mass in air?

  04.29: Three fishing bobbacf4vg5 wrzzd ep/q7r8 *; )bsers all 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 three identical weights are then tied to the bobbers and all three are pulled completely beneath the surfacq ;)rvr57 f8be dgz /cwza*p4se of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the follo w)/eahxhk.8w16dbpty 85ftegky +,x wing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with small aphn/76kdbr6 muvlxi l *.w81t pq pj96bnr q6xwkbp67vl .u/i*b691d mj ph8l tplied forces, is a consequence of which principle?

  06.30: A copper block is connected to a string and sub9 )wdj2cck:;7hnexl l ck5 v.hmerged in a container of water. kje vw:lc)nkx25h . 7cc dl9h;
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 4 j;(idg gp9u vuo5gk je4w:+nm long and 5.0 m wide. If the atmospheric pressure is ge:jvgdiju;54o+ (uwg4 pkn9 $1.0 × 10^{5}Pa$, 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 objectvu zzsm7r-n77 su7 zrvz7s- n7umbmerged in a cubical tank 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 of3 l3k,o fqe:jij:c/ aj3ms3uyqrx *y: 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 th:3 seo33qr:y 3,ka*cjiuj ly qfx:/ mje greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This ballo5b9lca45wg n 2 : ggcmett(ji7on then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response of t tb n4 :79glj2ct5aim(ce5gg whe balloon?

  16.23: At a party, two spherical balloons are expanded to have the same rad;n4pma tu ah4t8l*w3z ius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoya n 3pw;hta8t 4za4*mulnt forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In o+ffncp1 p*(ao(uz 1 uqne regi+cp(z*u11q(fnuaf p oon of the pipe, it has 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 cross section as shownxjf2 ,h3mt uu7cvh;m, 475k p4x-oz kd.skgfo. In which section would the pressure of the fluid be3p.fxxtz-dkmm h v2cjguu 5k7ko;7,,ho44 sf a minimum?

  07.35: Two objects labeled K and L have equal mass but densitiej*ga ;)ov /ft(xlhm9fs 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces actvl f (j;xma9) hg*/otfing on these objects?

  08.16: A block is connected to a light string: msk7bl.em;gt)c7 )o*vth ly attached to the 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 i7*lke t.mmhoycsv)l7b:tg;)s the block’svolume?

  15.30: A spring scale reads 2.50N whenq,txlmusi4.mz j7on 7qh*j:9x5znqbo ;0ao : a small solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring i*q 7bzo0x7unxo:jh aj m:o4 n9,.q5qzil sm;ts 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 uniforqu5.hs,spbje9u ni 74pf.5kqm density floats in a container of wate594efpsq jnupu 7.i.bkh, qs5 r with 60% 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 id a:no*6b3w nmreally through a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional 3amn 6bnwo:r* 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 fc8c, s)6piigj/u 8 gj)1t:ckv wkkt9yluid is marked as it moves along a horizontal streamline through a pipe, as shown in t pvjy) ckj ug/)68s8iic g 9tkcw1:kt,he 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. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizon ./ 81il exxsezfy8pn1tal tube that has a narrowing cx./yp8 enzexf1l s1 i8ross-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 to the wider region?

  10.47: An open cylindrical contain r./rksdh/ 2 -spyi;c wn0 p+:ar*gd)cwcy2uw er with very 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 container acgu.sd:w w;n2prcc+pky0sr/ y/wa)h*2 i -drnd 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 block is givenl+x,t ; cd/tqatw6h s; 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 havstu1)/v.wt 0fd7t6m hvj84jscz r/y-3ynn va ing 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 (densitk1cizjy :( *kyy $13.6g/cm^{3}$) 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.