94.17: A cork has weight mg and dens7 w7o-bhd2k bnity 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 in the water. Expressed in terms of the cork weight mg, the ten7 kb7wh2b no-dsion in the string is:

  01.20: When submerged underwater, the apparent matf9w;.q;c tl;vhsce77 ya*px ss of one cubic centimeter of pure gold is 18.3 grams. What would be its mv;;;w7xlchtt9c7 fype a*s. qass in air?

  04.29: Three fishing bobbers all individuall v,6,( p,t8kgalemldx y float on top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical sizes andx e lalkt8(,g6md, p,v 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 is the best sta qv63dmb 7h u3ut wfrx*zak/+:tement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lift.cr c76db25hitxtc .fed with small applied forces, rcb26.5. ditt c7xh fcis a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a container of 3gjnhm*a2.cma0.z 7u.dh qnzwater. z u.n 7c3dh* ma.hnjm0q2zag.
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 2 mcn.f; /)ntmi2.0 m long and 5.0 m wide. If the atmospheric pressure is mtfcn.in;)m/ $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg ouj-+1sl17 dh b:;xqpe byo.ftbject floats at rest with 75% of the object submerged in a xe1;p ts ub7hy1.obdf -:q+l jcubical 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 a h0oa gy5b2:nk76 zouxluminum have equal mass. The cubesn6:z2 axkou7h50y obg 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 Xenordls ,/siry8sr o/r zng,7v )4n gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best dyvrnrrrs7 giz, o l/,s/s4 8d)escribes the response of the balloon?

  16.23: At a party, two s,ph0cq3 bh-z 5 h92ukx9c j8hkpu:qgnpherical balloons 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 foll h9q5bxjuqph pkn: 0,g32k8-c 9czhhuowing statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid :mtj flfn7pjrs9be b;*m1 .q9 flows through a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then tbb*71:sj relfmpnq9jf9 m.; 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 radius 2R?

  04.24: A fluid is forced through a pipe of changingu f2b ym-p 7ccs7nn3mf2u 9j/g cross section as shown. In which section would the pressure of the fluid be as792jcbf m7mn - c3/gupnyf2u minimum?

  07.35: Two objects labeled K and L havevaw0p7etq- .v equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats afvat p- qv0we.7ter being thrown 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 of zbp 2hb2v mo7/kwg0 z0a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the bloco mz2 bpvh7/0 b02zwgkk is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50Np6: e /ymvjm wlz.;) n+jpu+ig when a small solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely su6 );:+ j.p+w uljze gmp/iyvnmbmerged 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 contaicotm94in8/0wly 0ki fner of water with 60% of its volume submerged. If this same cube were placed in a container mo4ti0n 9ykwcl i80f/ 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-m3 j3qc+e axmx9(la5lshaped pipe. At the lower end, the pipe’xal (c3x mae mql59+j3s 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 j4w9/+lc vpesd q*z zwl 3f6,ewe3 6ozmarked 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 se+9ej/v6s3zq,6z lcwo pfl* 3 dwzw4eo 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 s y31hegmk1,cce. m7i jmall 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 ac3ye m.kgijh 1 1cm,7essociated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is at rqy ntwlbfi h ;47;3n0c7,dcfz est 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 edgeb 7tnc7czwy,4n30h; lf;i qd f 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 2vi;v*e0olm p)4jeb :2)t l3 1ee;hgk qhdlxxa solid 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 having a density ol285zcvas.xmpjy 7r( nip)l +f $500kg/m^{3}$ . 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 withnmgq w f:-i66g+sgz4ps w2) ,at8ojyuv m8f4e 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.