94.17: A cork has we jbi).xs2mkq4m8 bfq;;9vb xhight mg and density 25% of water density. A string is tied around the cork and attached to the bottom of a water-filled contjb2s.x bqmv)bk i4;fh 8m9qx;ainer. 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 cubi gr*9i/;pwbs bc centimeter of pure gold is 18.3 grams. What would be its mas w9i *bs;bp/rgs in air?

  04.29: Three fishing bobbers all individually s0znv l4*,h g/ aospd-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 identi-0v,n g /o zsdhlpa*s4cal 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 n-02 /vna zo2+joriwuf7 zn3 jthe best statement of Pascal's Law?

  05.24: The hydraulic press, wh4n2on fi-xzjnh 0 *jhw)3fx,cich allows large masses to be lifted with small applied forces, is a consequence of which prinxfx2wc*j 04n zj- f)hno, 3nhiciple?

  06.30: A copper block is connected to a string and sub put24 cvkbpxl-en+(5n9/w a1 s v2wtkmerged in a container of wnkavctwkp 25pv2xu eb w4 /t1n- 9+(slater.
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 pressure .wb gkt,g*1db is kt ,.b1gdgw *b$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object fcon+th tz8,g9g11d9 : jkh xwfloats at rest with 75% of the object submerged in a cubical tht1f+ 9: cgwz1kndx tj go,8h9ank 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 s)e5 h /-xhn ueag)crs-i b)g+lolid cube of aluminum have equal mass. The cubes areplaced into the same large poolc)e5h/ lxhg-iasb)r n+- )gue 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 jf2nn n1yawl4274u p tXenon gas. This balloon then is released from rest two metersn n44 uywa2fl2jnt7p 1 above the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to i4sdpzp9b;p9 have the same radius. Balloon #1 is filled withpp99 ;p b4zids helium gas while balloon #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 thb;x a43qwg28hx3pqc jq yh.. lrough a long horizontal 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;bx 34qhq 8a.jl2chwg.y 3pxq'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 changing5t djt6 j6ftbo qdg+x8k7rzvv 1bv.1/ cross section as shown. In which section would the1tvjovrb +/1. dfz578 vxtj6qkbtg6d pressure of the fluid be a minimum?

  07.35: Two objects la6lt5 asrl*2ihbxj nxra 5,gw *o)l8)nlr 0v; ubeled K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?uoanl)j, r2a*vhrx 5xbl 8rln) s6w0 ligt;*5

  08.16: A block is connected to p e6.ve .etbc:94 anc0.bxpmay)q ub +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 is 5.0N. 4enb cqe.bc )9 .eam+ p.0:tax6buvypWhat is the block’svolume?

  15.30: A spring scale reads 2.50N when a small 5i22nk c5m yswsolid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end o 2wyics2 55kmnf 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 den/rh oe8:.thmm yp.f os jo(k6-sity floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil with hom oft(: .r/-ojepm.hs 6y8k density$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally througkadbqi u02cx- u)5z4j 3(cmmb h a cylindrically-shaped pipe. At the lower end, the pipe’s cro5 2zum kj3q-abd bc(cxum 40i)ss- 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 fluhs a*:/ff yti)id is marked 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 so that the)hs:ft* yafi/ 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 vtrp(;nji nu2*fjl zn9t c/jn6o) ,u2completely fills 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 th( ju9inl *nvojf2urctnjp,2/6t;nz )e 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 rest +3nva l2.qfml 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 the platform. For the.ma2 ll3+q nfv
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 solil2 sqk.scz28 gd 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 fillu,2b z 4oc g. g6yi8pa9 :vbtfp+7zjg bakc96sed 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 filled with mercury (denhp8w56ycblwz;j (k1q sity $13.6g/cm^{3}$) 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.