94.17: A cork has we. wgpqyiyrrvl* a)9p. +5 ltb(ight mg and density 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 inwvb.)p+ t9gy 5p*ql( r lyria. the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, -g37pemyc7dvmzs 59 ), m jeji:r-niqthe apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its ma 5,z gm mqic7-9e-n7r)mvej s3pdijy: ss in air?

  04.29: Three fishing bobbers al h)ro5jpmj :c: w yha0*nuy7x3l individually float on top of 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 density than B. If three identical weights are then tied to the b3 h7*0japyu)o 5rwxcy:hm j:n obbers 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? gqp26y75 suhq

  05.24: The hydraulic press, wh e8sugv 3t12jqq9g1 ogich allows large masses to be lifted with small applied forces, is a consequence of which principle?2gvu 9qj 83g1oqst 1eg

  06.30: A copper block is connected to a stri6s2 w1d71 quxr obdf6zng and submerged in a container of wate7 uqd1 b6drfowz21sx6r.
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 ande 9z16 -fthl 3qcw.uf.tj3 b2 x,ltnon 5.0 m wide. If the atmospheric pressure is t3,btf32.jno1l z fc qelt6.nh u-9wx$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at re)rjr bo5 w,kzqbcy46- st with 75% of the object s 5o,rjk)rczy4-bbw6q ubmerged 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 c0ku)murb-)q(:z n cmj ube 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 experirm qj(nuu):bc 0mk-)zences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xe0gu m6; o6xn/ axe;uhgnon gas. This balloon then is released from rest two meters above the ground on Earth. ;emg h66xo ux;/ag u0nWhich one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloo+xk3sb)df h : kz*gqs0ns are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon *0sxhz f:g+ kbq)3skd 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 hor wt ldrk4 p;iaw6h+c64izontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the rd awlcpih6 kw4;4r+6tatio 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 changing cross seckr 935bc80nnm 4hhms qtion as shown. In which section kqn9bh0m5h r s483 cmnwould the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass bupnyol4 k7y5k6 t densities 0.95D0 and D0, respectively. Each of these objects floats after being throw 4 y6koyp7k5nln 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 tu/wm:(m b3))m;ftf0z niyhbbo the bottom of a large container of water. The tension in the string is 3.0 N.hb y;bw/tmzf3n :f)bm0i(mu) 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 t3, 5)stq3yxq.mwr0 fjspa o1mass hangs from it in air. The spring scale reads 1.58N when the m 0wq,r35y1ajq.mxsf so3tt )p ass 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)rgzk7v 80k is in a container of water with 60% of its volume submrs0)kvk7 gi8zerged. 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 cylindricallizgfc+n8qf69 1 sai 1p9:ixpxy-shaped pipe. At the lower end, the pipe’s cross 1i6 c91zsi 9f:xax+pnq8pgfi- 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 ic68xp+f/ zc- d2lpoh0 ayd0dst 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 i+00 dp2d x68 -caposyfzdc /hln 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 tupt0 5.dpgg w,obe 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 thw 0gpo.5pg,tde narrower region as compared to the wider region?

  10.47: An open cylindrical container w+ 8ja0rl;rvcd h9exd1 ith 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 ar9lc 0jed +xh;dr1 8vthe 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 soli lgto,g+92m82 zxpe yjieb67q d cubic 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 pool is filled with a liquid havinv6vyp5g*iuprh.; m (gg 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 filledp,2y h2ao qfe( e4a4mn 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.