94.17: A cork has weigh8gs)k g xmdm8*t 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, 8k) g8smx m*gdthe 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 uw1g:sa ( u1awrnderwater, the apparent mass of one cubic centimeter of pure gol r1ww1 usga:a(d is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bzhipw4p)q)em8f a;.yobbers all 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 densi f).p84 epaz;wyi )hqmty 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 followinavr3(v vmmjt/:r ra/ /g is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows largew)qbuj ji/1z:9xo*bx fp8,lj masses to be lifted with small applied for*jbj89if,l)jz w xq uxbp:/o1ces, is a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in ue 7non 1dquze)1tg :)a container of water7 )1z onedu)q1:gte un.
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 presgwj;aos cz egbdm7 )sc, 1t6pj-0+)jv sure is dap+;gjt - 0v6woc)b)scz71 sjemg,j $1.0 × 10^{5}Pa$, 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 the objectw-d v/f dwitqrt2 w:2c4 ;.kan subrin.w;a/ k2vcq-2 4wf t:tdwdmerged 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 cube of alugi05za1 du2 vtminum have equal mass. The cubavidtg0u1 z25es 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 buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloon then szn)hu) iw6:nr:m; al3qzg o- is released from rest two meters above the ground on Earth. Which one of the following choices best describes the respul zqzsn:-6):mair 3o;g)w hnonse of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radi l gec3o(wa9k5g1 hfbwwq- :,cus. 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 on the balloons is 9(k fw:3 obwceqc1a w, lgh5-gcorrect?

  03.36: An ideal fluid flows through a long horizontal circulozb3 1* +y dz*hxyw l*f7epr)lar 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 the speed of the fluid in region with rl1w) 73zb +zlyr**yoh*xfd peadius 2R?

  04.24: A fluid is forced through a pipe of cp)67jl/osjt/9g mnf (bh vu0 hh-k t.1 cw/xcmhanging cross section as shown. In which section would the pressure of the fluid be 6cm1v /lw0 /khsg9px j (cftu/-nh.j )7bomhta minimum?

  07.35: Two objects labeled K and L have equal ma 5x/pi ,kf;nuj+ cb9ydss but densities 0.95D0 and D0, respectively. Each of these objects floats after being t fikc;u9jypdn/,+b x5hrown 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 stb )) ntd0maxh:ring 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 is 5.0N. What is the block’svolume? dn h)b:a0 xt)m

  15.30: A spring scale reads 2.50N when a small solid mass hangs from iz(tkz0bw 2 ml2k6lru 3t 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. Whi2b2 lu0t kmzlw36r(zkch one of the following choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material andd(v/t-0.n neg /q peh(e,j cgt uniform density floats in a container of water with (/egp dt- eg(0nht.e qjnvc,/60% of its volume 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 : w4t:4x5ewi yhgrw y6ideally through a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional ay wte6x :w45hy igw4:rrea 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 mid yvr, bf0m59oves along a horizontal streamline through a pip,d9y mb0r5 vife, 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 fills a small horizontal tube that has a nar,b *v 37saa;;zn.ljr2kj/zgu mqcw a9rowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happened to the fluid’s spek 7v /wl;jr cqn2jm*3b.z ,zsa9; uagaed 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 at0 ryog*6z*n-wmj4;h v (o pjh(mil0 fj rest a distance H abo4r* l(o j0-onwijh 0p*g(hmf v;my z6jve 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 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 ,zt0ln12u p wqb43 wtecubic 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 liquwmhx j.oj k0g/xb8zv/.(u-rw2 rm 6 hdid 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 with mercury (deu7 y 19dup6quh*rec8r nsity $13.6g/cm^{3}$) 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.