94.17: A cork has weight mg and density 25% of watefdq )d p(40jpsp-8d) lqcoz)rr density. A string is tied around -p ( qo4dd8 j)0lfdqz ps)pcr)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 mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass obp*d p; .ycu5qgs :wh;f one cubic centimeter of pure p p*.d;w:;sgbu hycq 5gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of wate4aa fzr /,usvjf3 :9swr. BobbersA and B have id43f /,ajv 9zws r:afsuentical 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 the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following,vkirc: )vs+icd :xt 9ev(/dq is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large ma6 ;u * nf ihvkw6m:58kcvgkg,asses to be lifted with small applied forces, is a consequence h*iv k8g6 : wa; mvkkuf5nc6g,of which principle?

  06.30: A copper block is conou gudwh9ma 1bmm06sa 59g-. inected to a string and submerged in a container of waud9 ah9w6g0og1.misu b5m-m 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 mjmabnp hu ,su88g48s 9 wide. If the atmospheric pressure is s a94n8huj s pmgub8,8$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats l,9wucfr:,4zmfv+wtb8d v.z* d n yg9 at rest with 75% of the object submerged in a cubical tank contaiynwwfb4z lcdt , .:f+u zv9m8vdr9,*gning $50.0 m^{3}$ 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 equap5/8o)ffd,c uunm z; f8ra/c al mass. The cubes areplaced into the same large pool o ac ,/ff)5r8puc zf/an udm8;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 filled with pure Xenon gas. This btk5/p yw5lfo, alloon then is released from rest two meters above the ground on Earth. Which one of the following cho5ywf,/t k lp5oices best describes the response of the balloon?

  16.23: At a party, two spherical ballo-/ek,q b4l,haroz .mk ons are expanded to have 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 bza, mkr, hblkq4o-e /.uoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal.f w*lzii7pzu ri7 3idlwp4j;3*wc4b 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 radius R to twwifpz. uc7 i4i*d 7 l*jb3p;4il 3rwzhe speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as shown. h1 b/40tg7nyj1tnzs eIn which snnz 0 47b/1ethgyj1st ection would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but den4w,o uigct8/wsities 0.95D0 and D0, respectively. Each of these objects fl/g8w 4tic,wou oats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is con.r70ao mar/5gdihn *fnected to a light string attached 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 df7mrohag. 5 *ir/a0nis 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass;ap,un1 b3lry hangs from it in air. The spring scale reads 1.58N wharypn ,;13 ublen 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 cont811r1ckx l dakainer of water with 60% of its volume submerged. If this same clk1 xa81k 1crdube 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-shaped pipe-x2vf8w)7 ac 9:vzegk-y8 qxzi4 jeql. At the lower end, tx 9 z)wvzx g28l74 cia 8:yjqe-v-ekfqhe 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 a horizontal sj.mmal;+ (ivkj4k 5t ttreamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streamlin;5a k.t(ti4 j mkjlm+ve 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 fillv r6m7nnxtl0;amx5 n: s a small horizontal tube that has a narrowing cross-sectional area asm : 0tvln axnm;n7x65r 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 cylindrical container with very large radius is at redx3m + h6mqwpox61 4z4kob-zj urml-7st a distance H above the ground at the edge of a platform. A tinz p ro-lm7uwoxd36h4 kb+m1m46 q x-jzy 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 is given ask9.wo .k: lazry9thi+ $ρ=0.750 g/cm^{3}$ . 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 qc,hurj*z/cah8 4p rujh (4e.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 w3 96/vbnjb vtkv 5.xqn6ndx/oith 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.