94.17: A cork has weight mg and den-z+qk ci- r,xn2i 0uk -a1uqn pxta3d(sity 25% of water density. A string is tied around the cork and attached to the bottom of a water-filled container. As shownzu2anciakt3ipn--0 u(d1k - +x,qqr x 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 mxn jj.:skuk72098beabdv :dwass of one cubic centimeter of pure gold is 18.3 gram2:a j0udwb7j k:9de. k8sv bnxs. What would be its mass in air?

  04.29: Three fishing bobbers all inzk b i(zqy.w1/dividually float on top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical sizesk/ z(yw zi1.bq 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 followinc 5oqs3n3 7*5:c.k gqnpbn qpag is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted witep5g):vfi b*xs--nd2q9d gvsh small applie) ddssi5 pv*9 qfv 2gn:-g-ebxd forces, is a consequence of which principle?

  06.30: A copper block is connectpf6b09itz /o8 *7gwd o oht+fced to a string and submerged in a container of water. tt869ooi7fwd*oz0pb c/h +fg
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 2atw ibb-s,z inw*kumg.59) y4 2.0 m long and 5.0 m wide. If the atmospheric pressure is uis*z. mwyn5-4i,bk) a9 twgb $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rgd*cki x(g15m6z5 xlb est with 75% of the object submerged in a cubical tank containindg1g (6 b5xmxkl*5ciz g $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of alu) es4w3+3cj ;vz7mvy)otwfms minum 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 experiences the greater buoyant force from the water?7 e j4w)m+s3vvz3o; tywcs f)m

  12.21: A child’s balloon is fil632jy)h t fb,qiyy t3ukydc(.led with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response of the bay3f3 b2yq)ij u6ytdhc., t( yklloon?

  16.23: At a party, two spheriumy -,fzk n07vvoa5j8cal 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 following statements abojkv-7f0u8an ,5yzvm out the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a lon ggewdy+mh 582g 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's speed in the 8g g emwy2+5hdregion of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced th7(no5,lqgnbe p1n + a/moe 7rbrough a pipe of changing cross section as shown. In which section would the pressure of te 5+nrq(nmol1/ ea7 o7,gpnbb he fluid be a minimum?

  07.35: Two objects labeled Kiyy *qtqnyjqdcj2n7:-+0*cz4 u vtd1 and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objecidj-4y dvt *0c ynt21qzj:uc 7n+y*qqts floats after 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 attachmyglw g(6p50km f l;q47yy1zred to the bottom of a large container of water. The tensi7ry mzkywlqm4ypf ;0g165 gl(on in the string is 3.0 N. 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 mass hangs from it in aoyly .yrk789itjc,qv 5 azoe3or0 / 8nir. The spring scale reads 1.58N when the mass at the end of the spring is completely submerged in a container of water. Which one of the following choices best8t.ne /zqoal93oc y8 5k0 ivoyrj,y7r represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a conlwbu(xzmn;zoek8 m b/u,j*tok8/ o , 7tainer of water with 60% of its volume submerged. If this same cube were placed in a container of oil wi*uw(, /bon7l xe 8 /mk;z,8kuzobtjo mth 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. At theek9s+b: ; tclv0et ge+ o:(--s uphare lower end, the pipe’s cross- sectional bu+r 0et (p ::astevso;--hlk+e9eg c 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*4o2s azazfh+49agv* 1 q6urfhl+y pv 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 9+4pz+ 1fvgra ov*f h24sa z6yql*hauthat 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 l*9fn juh qr8piyv3 + ybjx-5;completely 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 has83rybylq*; v9pjhnij5+u-fx 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 la ivoai9p8pubq 3r3(w6rge 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 the platform. For the b3q pip8v 6wa9or(i u3
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 ap o o 2+phrm5o1ve:/ 1dhp9mze7p gbo5 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 asziwy );2n*mt 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 mercurton;x+qe*l :8q fgr;sy (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.