94.17: A cork has weight mg and density 25% of water densityx4wrmz ;+6 kbl. 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 totall4+klxz;r 6b wmy immersed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the a:t 2zvrwwjdd:67z takwn4 25 qpparent mass of one cubic centimeter of purt72 :j:w qzzrd5n ka w4wt26dve gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of wategovmuj8hr;k4 k ;g-7fwi 79bpr. BobbersA and B have identical masses and densities but different spwuj f 9oh8gi4 ;7bmr -k7;vgkhapes 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(3 7mr xynd8v q 2bq39 v80wrwndmr//z8a suld statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifu6ut7) v ajma)l-p: r9kot) ohted with small applied forces, is a conseqh a6vtj7 plo9a)o):)tr- k muuuence of which principle?

  06.30: A copper block is conneco3 zqptcz .,.)gow:wf ted to a string and submerged in a container of water. t):3zz.coq f op,wwg.
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. qbe16ww( 5tv f4bj1yy0 m wide. If the atmospheric pressure is fb q5t6w wjvy41eb1 (y$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and unr:; o2,e 8zqjrkaxo zve(-+yniform 10.0 kg object floats at rest with 75% of the object submerged in a (2: +qxza8 jy,noroe -kvr;e zcubical 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 of aluminuml5 rkh2:et8 z 4 vmfem7fwm:7b have equal mass. The cubes areplaced into the same large pool of water so that each b ml:7rk:emvw5 m4ffez t 2h78is 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. Thif-d11pj , uvrm ycaon8r 7a27ss balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response of the balloopr-cv71, u a7smrn2dy1afo j8n?

  16.23: At a party, two spherical balloons are expanded to(qjx ;v:qql e7;;okb mr3sg7b have the same radius. Balloon (ksbeq;ro3mlqv7 jqg :b;x;7#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 fluid0u1j*2)rqxzuz;i ju 7vcr yg5 flows through a long horizontal circular pipe. In one regio 1vzrq5uy )ixu ;ucz7 j*0jrg2n 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 o*5 *v/pn aypblf changing cross section as shown. In which secn*a5p lb*/y pvtion would the pressure of the fluid be a minimum?

  07.35: Two objects la-7 oc-v .kg v fleska7e;m-.svbeled K and L have equal mass but densities 0.95D0 and D0, respectively. e- vk .-lvsgsm; 7eo-.c7vafkEach 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 connected to a light string attached to the bottom of a r01 7)ikzd(fq9zb:lwkqj-gb 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 block’svlqr k(q-iz)7fkgz09d:jw1b b olume?

  15.30: A spring scale reads 2.5*1 *ij feug:bw0N 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 represent1fijub:*gwe* s the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown materi 6d(vp 9brh6sial and uniform density floats in a container of water with 60% of its volume submerged(hbpir 9v6 d6s. 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 cylindri+u7a p, nadszm70 fkz.cally-shaped pipe. At the lower end, the pipe’s crokzapazsd, 0+f7u.m 7nss- 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 a p;:dlk s4bkju6v 84gos 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 radi4 kos lv gp6;bkj4:8duus 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 narrow(bxsys; nx61 sing cross-sectional area s; 16nbsysx (xas 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 cylindo0)x:qvit-y+v p7o a drical container with very large radius is at rest a distance H above tt)q i a 0+:vov-pxoyd7he 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 block+ hm7 m.0-d +c2nyfydq k(4 5kudycovm 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 a *kcg052lyfm1sfs 6 rrdensity 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 (densi8)aahy d)*(psi5sb aou 3 oc6ity $13.6g/cm^{3}$) 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.