94.17: A cork has weight mg and dex: nbi)k9 j2qjnsity 25% of water 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 9b )j:jn2xiqkmg, the tension in the string is:

  01.20: When submerged underwaterw:io(n3c g0ioag/ 6t i, the apparent mass of one cubic centimeter of puaton c(g 03wiigi o6/:re gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. BobbersA qb,5v5 kma)zosz+q5rs 1h-ba 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 surface of z1rvbsa5o5 -qs ,ahb5q) zk+mthe water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the beac47t tje0(i ust statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted wirg9w,7yct.;gsu mx.)n3 barzth small applied for)9,ycm . wsgx z7rga ;n.utb3rces, is a consequence of which principle?

  06.30: A copper block is connec8c*kg7ts kb:r +ha1ovted to a string and submerged in a container of water. 8thsb+ *gv1:ork cka7
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 /sisy1-7ext5.iihv atx4mu2j azk, (m wide. If the atmospheric pressure is s,vz52iy1xuh ka . mx( tjeis-t74ia/ $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest wiq-,u w9ytv ;9l tup+with 75% of the object submerged+ p9tywtwu;i-u vlq,9 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 ofqjd , vce3(b15pp4a1 yqa5khu aluminum have equal mass. The cubes areplaced into the same large y ppbvuqeacd35a54,h( 1kj1qpool of water so that each is 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 fillw xa.f 4+ju+lked with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which on.kaxl4+f uw+j e of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have t8cx9gt+ f.g+d0 ne jh6-pctwl he same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statemeh +nfl dwc98-xggt6ecp+j 0.tnts about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flruq1zw;07 ts jows through a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widestrz j w1u70q;ns 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(fomhe nz 90cit y64nqe 66ws/ changing cross section as shown. In which section would the pressure of the fluid be a min0hmye/qfoe6t 4 c9(66wzs n inimum?

  07.35: Two objects labeled K and L have equal mass n*h:6)bo dip 6o:aaazbut densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimi6:aa* nbo6a)zd hp :oming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attapgxb:* l +y/xgched 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. Wh* gbx+/:lg xpyat is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs from it in ym)sku6y:nd. wau2,m air. The spring scale read 6y2,m)nmswaud .: ykus 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 represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown7pyy-nm0o(sz0f i1*dx )sa u voaqp4 4 material and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a contv)nom00a7yzp pysiq o(u4s4fd* 1 a-xainer 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 cylindrical;z:esrot1jmw0u57+6 xaje tcik, j); e5zwy zly-shaped pipe. At the lower end, the pipe’s crottrxz;e ; 7 :w auw5e5j1j)0,sciyeoz6zkm+ jss- 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 mo8d0 m6enazsirxmh 78 e le2q12ves along a horizontal streamline throughld6 27 m0 2 semz8a1eixrheq8n 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. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontdms- 9j3slz k0al 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 ass3 skz jlmd-0s9ociated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical co6+-ptr i*os upak0/ vpntainer with very large radius is at rest a distance H above the ground at the edge of a platform. A tiny hole develop0 /p i*av+ o-kut6prsps 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 p7c o-zvdtcof +/a6w :7z5/sg-rtbqs 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 havie-zpg cjs v6)b* /e6iqf 6ehosa8m07qng 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 withxi17( 8 3h3rdov (ofxxs, gk(u*umxcz 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.