94.17: A cork has weight mg and dw,s1l:x jk7 rqensity 25% of water density. A string is tied around the cork and attached to the bottom jsl:krx,1w7q 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 mass of one cubic centimet8gsjxwrr5.8y,c)+ (e wmwndzer of pure gold is 18.3 grams..)nrw 58,8es g(z w+dymx wjcr What would be its mass in air?

  04.29: Three fishing bodohnl07o 8lla+w) j5i da)(xlbbers all individually float on top of water. BobbersA and B have identical masses and densities but different lw lo x 0 a8(ld5)hd+iln)j7oashapes 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 statement of Pascal's Law qar nz wjbyi5g739:9eovu2;d?

  05.24: The hydraulic press, which allows large masses to beggwoi2f2saidn aq 2 np+5 ,43n lifted with small applied forces, ia3,dq iwisp 4n2n22g5+gofan s a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a 7hw fsh1n8d0j0 e0qi1 g1d tepcontainer of water.w0 8 0et 1dehq1gfj701 phndis
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 pressd6xekps*4 +tgx 40uj iure is *s xx06g +pedik4utj4$1.0 × 10^{5}Pa$, 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 t(s v7: gca5cmsmu5qi6ruje t5- o1 9gbxw6u: ohe object submerged in a cubical tank containing qac5:ug uv xmo7 9c(1msbi -g6e5uo5jr: wt6s $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube og91zr ycm3robpx6 5j) f 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 buoyantcgb6y39or mx1 rz5p j) force from the water?

  12.21: A child’s balloon isrum,/ic3rt+ /w n k-ib filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best deu-/,3m k r+nircwit /bscribes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to hlf34l a(e80kdiju*obave the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant forces lei obu4kajlf3*d0(8 on the balloons is correct?

  03.36: An ideal fluid flows throupys ,ch-t zxes)x s+/et2,o ihf)(u ,dgh a long horizontal circular pipe. In one region 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 cste 2(os/h,ztdpu x)iey-,, sfhx+) 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 sectiongf5 jr:2 )bim olfzx-* as shown. In which section would the pressure of theljzx-2 i 5f)m:bfr*go fluid be a minimum?

  07.35: Two objects labeled K an1p;jo ,u n1mslsc 2.vo0q(p vpd L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown inp2 v clnj.oo ssuq1;m0pv1(p, to 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 attached1-i4t flc/c2bye jfi- to the bottom of a large container of water. The tension in the string is 3.0 N. The-fl4 ej1icty/f - icb2 gravitational force 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 sod xu 8cfoy5mrhuxsf 0 h6/l6)+lid 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 thxy8 x)hsu6h 5mcff+/6rd u ol0e following choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown maww-a/o,e:bu .1ja4(bxy(to zun l0piterial and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a c 0p n uw(,zo.(:xl bea/jotbu-y wa1i4ontainer 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 thro2rzft97l kct -r* fh)zugh a cylindrically-shaped pipe. At the lower end, theh- ktc f*frt z79)rz2l pipe’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 kw 05- 7be6gmq ngrtdb m6,efa(cu 7+aa 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 br0 75(g-e6qau gewmt6ad,+fb 7 ckmnRegion 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 had xvz., fws ( bjlt2mu 0/w(q88cxxw(qs 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 associated pressure in the narrower region as compared to the wit8qbw/c2j.ldxfuxwx (z ( m (vws80,qder region?

  10.47: An open cylinjev9nc* ;zz ):adm9ledrical container 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 9e;dl* nc)jvamzze : 9bottom 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 is hkuwm9 w (uv+u w:+l*wgiven 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 density ke0lkicp 8i9z1v67ke,f a4 siof $500kg/m^{3}$ . 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 mercun hg*fvg- f4ynqhdfr*;z s444ry (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.