94.17: A cork has weight mg and density 25% of water density. A sth5 n :y0j1bq u-h,dgvtring is tied around the cork and attached to the bottom of a water-filled container. As shown in the accomph vbtnhj- ,5yu1q:0dganying 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 u wgue*2xyi+i0i jc7 w gxsh*8:nderwater, the apparent mass of one cubic centimeter of pure gold u+ii j*i2 y:*cw8w0 e x7hggxsis 18.3 grams. What would be its mass in air?

  04.29: Three fishing bob4g,m d-g8kfsdbers all individually float on top of water. BobbersA and B havfmd48skd, gg- e 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 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 statement of Pa,e,u frvy; urcb7hfw(1m/8yvscal's Law?

  05.24: The hydraulic press, which a 86)yuqvi)o 5xxbax7q2r wo-ae,h1u ollows large masses to be lifted with small appliexxq oi ayuv1 e6u)b2)8ox 5rqao7 wh-,d forces, is a consequence of which principle?

  06.30: A copper block is connected t(/ k7ehepbmlp k-ia+( o a string and submerged in a container of wi (b-apk/l ekp7em (+hater.
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./m jl+ lo+3sfk l+o5qbe1dgp)0 m long and 5.0 m wide. If the atmospheric pressure is f )o/j+e3mlp qgds5+l ko+ b1l$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object f+n 1praljlu9:;p n0t xloats at rest with 75% of the object submerged in a cubical tank conpr 1 n:n;uj0a9pxl l+ttaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iranrn rh*k9p9)m sf (;ron and a solid cube 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.rr9kfnnr ) s*(9 amp;h Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. Thk/ ucoikml gp7*mzm*4 ;0:f iku2p5 ivis balloon then is released from rest two meters above the ground on Earth. Which one ofiim ou4:z f07/cuigvpp m 2mk5 *;lkk* the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radjqg. bifs0/bm71 + whjius. 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 qmjgh0/17 wf+b s bji.balloons is correct?

  03.36: An ideal fluid fhsi53 wfd5w( jlows through 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's speed in the region of radius R to the speed of the fluid in region with radihis3fw 55d wj(us 2R?

  04.24: A fluid is forced through a pipe of changing cross +g)o v*bswy*isection as shown. In which section w o)ywb*i v*g+sould the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass o++:h5l asshdbut densities 0.95D0 and D0, respectively. Each of these objects floats after beingd+sah h l+5:os 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 7-9sunm j.+rk oui iw.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 tmri7o .uj uiwn.s9k+ -he block’svolume?

  15.30: A spring scale reads 2.50N w.bw3lo r1t4hzokz p 1y67qv *vhen 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 submerged in a container of water. Which one of the following choices best represevy7* pvh3z1r4 6o zlkob.tq1 wnts the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and ys31o) tu-v hq ;v)qqxp98acl rr3(ro uniform density floats in a container of water with 60% of its voh-q;)(1p) rsqot lyuov a389rvx3r cqlume 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 ideally gq hvk5s24ikrjo8jzx6s 2;;gthrough a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional are5r jvzhx jgk;2 sqo s84i26;gka 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 fluidc vh ios0(5k,ivs6ckv9 q1g z8 is marked as it moves along a horizontal streamline through a pipe, as shown in the figure. 80,sz9 ik1cqv vc6g(k5hvios 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:zt iw jyjq 3r.a72yk-rowing cross-sectional area as seen in the figure. Which one of the following c. j2: iyatkq-3jy7rz whoices best describes what has 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 large d9ao+q 5+ankor d; 4w( iox tho3r8uz.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 th5w3.8+a ih ddxa 4nrqoro9k ;(utzo+ oe
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 sol*pd4 onb 0z:reid 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 pw:lcbq nv6z1/u ze -)l.*ydze5gb; lfool is filled 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.xcd44pfr uhymp q)42 (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.