94.17: A cork has weight mg alz /8)xk9d ykfdhixiqw 4(7+pnd density 25% of water density. A string is tied around the cork and attached tk xd)zq/7+pyf 4(lk9 ihdw8xi o 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 mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubb(nacf8 , gaf6ic centimeter of pure gold is 18.3 grams. What would be its mass i(a ,8c bg6anffn air?

  04.29: Three fishing bobbers all individually float on top of water. Bobberktj3a ctc.hv79 yo-p; sA 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 h pc9y3 vco.-7;attkj 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 Pqtz )owk/ . 4 gq boo9/3uz15dqaypc7rascal's Law?

  05.24: The hydraulicaqfm qrh 9mk wh :ornw/q:74ztzue +jk*13s (3 press, which allows large masses to be lifted with small applied forces, is a consequence of which prineq wq 4rfwu/jkm3*7(qasrh t z+o k m:1z9h:3nciple?

  06.30: A copper block is connected to a st h1vjdk2w 45pg v**xejgr+8s dciemxo)x 7t 2,ring and submerged in a container of wv2,+g) 2 whjx8 7ko4*exived 5 sjxc1mdtp gr*ater.
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 themfjf-hf yc::8)p/ hqwvu ml;lma 0s3l1 ok*p 5 atmospheric pressure is 3o5vlmu/*kf1)m;hffys 8:c0qlh :amjw- pl p$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and unifo(u, vwn8)t f ,+sf6rulj* denyrm 10.0 kg object floats at rest with 75% of the object submerged in a cubical tank co u8 vy)u+, fen *,tl(wrsfn6djntaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of aluminum have equal mass. The +k;o ag8sj:jy 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 b:j;o+ykgasj8 uoyant force from the water?

  12.21: A child’s balloon is filled with 0pil2fyx ,vsg .o.j2h pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the 2 lxfjy. s.2hp,iv0og response of the balloon?

  16.23: At a party, two sphez- hj/nzeyz))rical balloons are expanded to have the same radius. Balloon #1 is filled with helium gas while ballzz) n)h- yjze/oon #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 long horizontal circular piped49is 7-xxmz8a-nyzx. 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 radius R to the y x-mzxszi 8ad-n9x47 speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing c+p d+2 ja.yebf x4ix/jross section as shown. In which section would the pressure of the fluxx a4jyd+ f ej+/2i.pbid be a minimum?

  07.35: Two objects labeled K and L have equal mass fl wuq09jip..m*z z0m but densities 0.95D0 and D0, respectively. Each of these objects floats after being th0z q 0.l.9w mpjzuim*frown 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 nd7 fmkhdykm7 2dj,mg+5jg- 5of a large container of water. The tension in the string is 3.0 N. The gravitational force from the 75jgjf, n27hgydmkd- mdm5 k+earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when 4q a r+.ojb5eqoj(s-i a small solid mass hangs from it in air. The spring ss +q eoqojja45rb.-i( cale 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 represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a container o;e uq;4d9 kwt- ugkj2 0rsnl)zf water with 60% of its volume submerged.0 guw 9t4l )nz kj2kes-q;;dur 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 cylindrically-shape6hs3st3u4c1df yh 1pk d pipe. At the lower end, the pipe’s cross- sectional area h11ys thupc3k34fds 6is $ 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 flfi4o qsl;g8 ,ouid is marked as it moves along a horizontal streamline through o q,f;o 8isl4ga 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 fillsa/i(-xobbu 0 o a small horizontal 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 associated pressure in the narrxu bo(/ -ib0oaower region as compared to the wider region?

  10.47: An open cylindrical cy**m +sc8oz ndg7 bh;msu1c4 tbo70klontainer 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 and water from the container squirts out horizontally landing a distance H from the edge of theo ud hyc17ktb8los0mzcb +; g*n7*s4m 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 cubics7t9+lsjw97 o k ojz;f block 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 p 8y-wy/.kk:r2l qo4h) jynhuxool is 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 fid2pf+eq v9z2c lled 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.