94.17: A cork has weight mg and density 25% of water density. A string is tied arf+bela. r .)around the cork and attached to the bottom of a water-filled container. As shown in the accompanyi l raafb.+.e)rng 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 obi oiyip2 u.wsz, 9losuh 8us4*49i, wf one cubic centimeter of pure gold is 18.3 grams. What would be itu 4usib.p8,l9i,wswio9 z h4uo* yi2 ss mass in air?

  04.29: Three fishing bobbers all individually float on top oza( iwg*;0f aq5*qvpef 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 dvgq *f5 ;eqiaa *pw(z0ensity 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 Pascakh j+s29ruac4* o3xzznn i:s2 l's Law?

  05.24: The hydraulic press, which allows large masses:p 7itzj+i9e7n ft c(co1bj *g to be lifted with small applied forces, is a consequence of wh 9+tje:1o( ingcic 7tb7fpj*zich principle?

  06.30: A copper block is connected to a string and submerged in igmcvt (9j38 xz/0c5esn rbo7 a container of watermv 80s7eb9z joi3rc cx5/n(tg .
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 pressure iks vvyq-*gc1 s9ou+.u s(0vxpmwxh 0(s ( svus-cvv9q 0x1 hx( 0gyomw+u.kps*$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniilx/.jo63t/rtjh3 a g 5siq,kform 10.0 kg object floats at rest with 75% of the object submerged in a cur g6xlq .tskti/o/ja335i, jhbical 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 sos,cpm t/7; 4igeio*iy lid 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 great 4gmisoi/tec7;y *,i per buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloorx .m4bi,huri+f +w -lp+gk2oe2 l+ww n then is released from rest two meters above the ground on Earth. Which one of thek,i+fowp.+r+xr4 lmehb ul-+ iw gw22 following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the sam.vip*at 00o hre radius. Balloon #1 is filled with helium gas while balloon #rtop0 vha .0i*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 lon ql,43aotq36a xsj6nktk: e2fg 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 region of radiuxs6nfe qq:j 6 akto33kl2 at4,s R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross se :(ju imh8e9zzction as shown. In which section would the pressure of the fluid be a mi9m 8i(z:uej zhnimum?

  07.35: Two objects labeled K ahvp5b6p::/qw5ww k2shi3ys,qcq7 k 2 ivk lm4nd L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which 5 hi3kwq:k vmiy:/qh4 k bs6p w,2vl5w27pscqis true about the buoyant forces acting on these objects?

  08.16: A block is conn gasit wr*-(eb * 62fr-. xgli;vn,rh (xb1xyfected to a light string attached to the bottom of a large container of water. 6y rxxbhitx 1g(**i;f avswfe ,l -r2(-gb.rn 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’svolume?

  15.30: A spring scale reads 2.50N when a small solid maxc-o1 c;rq,eea p-fow 6 3hzk;ss hangs from it in air. The spring scale reads 1.5cqxw k,ofc;e-e-p 1 o; h3arz68N 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 unknown mater3zt ra 2)p0uaaial and uniform density floats in a container of water with 60% of its volume 3z2 t0au)aarp 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 ideally through a cylind;exdjbs ,rndftrr5) 6n jf .67rically-shaped pipe. At the lower end, the pipe’s cross- sec bnxjjrsr)t6 ,dd5r 6.fne;f7tional 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 kqmq e8):uqne6,a)hu ideal fluid is 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. :k qee)uqna 68u hq,m)What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizobqez:-7gge c1j0mvwuk/(k y 9ykp /8zntal tube that has a narrowing cross-sectional area as seen in the figu9:-pz8y0qe/k7eggk(kb j mvuyw zc / 1re. 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 obqpm09 3b usxz9d 9*ia distance H above the 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 o3z *b iuo9d bx9pqms90f 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 isrp w jz q2n;h(f0ai 6)ra-+ead 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 r ll1ycl*7*z0cvqvbcx o:1g *filled with a liquid having 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 v k9w3u;y2tsx 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.