94.17: A cork has weight mg and density 25% of water density. A string is ;(+2gl+nc p)mh 4nnrtpik.kbtied around the cork and attached to the bottom of a water-filled container. As shown in the accompanying figure, n;n tp c km.lr4(+bk)gp +ihn2the 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 underwagiiu; q1x1zy 7ter, the apparent mass of one cubic centimeter of pure gozg;q7y uix1i 1ld is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float odmpi /5+ c91w.qrl/vosj 6*pjqof qs5n 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 lessq fcms io qv/ 1d9s5 j*5qlpw+o/r6pj. 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 follow1dvbyu h. xe:9-)qea eing is the best statement of Pascal's Law?

  05.24: The hydraulic press, w: 9eg:ulq9a0rj xqft0 hich allows large masses to be lifted with small applied forces, is a tx:0 f lqq90gejr:a9u consequence of which principle?

  06.30: A copper block is connect u7yv/9b q;fqped to a string and submerged in a container of water.p;fy vubq79q /
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 66ln6w q,u cduis 6n6q, uu6ldwc$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg obje l084rs1fp ijdct floats at rest with 75% of the object submerged in a cuf 8r1idj4l0psbical 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 aletk 2 f 7natc.i0xvan9q(j2ao5ty1 p5uminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the potn ofp0ca9yk 1ax tv.7n5a(q2e25ijt ol’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is frg y2kiv 2g3e2+v7z2di9yrq pilled 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 descr g2e 9rypq2 i2vg r+z3d2yk7ivibes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to /0l-yj icxivny 1hf, 6have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Wh1h0jcv,y6ly -f/ixn iich one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows tq nn+a 7lyo4hxe;c0tu8nc*;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 th ca;nqtoh x lyn+*nt 7;ue048ce 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 changing cross section zw;t t ny);, qe1be;umfw 1x6 d(5qproas shown. In which section would the pressure of the flqt1;)x omet;; wzyq1pu,w6fnber d (5uid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.9r9mf, .z r w jqlqid4n*7(a2bg5D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Whichajbr,i7nd(rgz 9w2 *l4qmq.f is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light strin;74 s odj/svuj,et5ugg attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the ea /ts u,djo;e4gu vsj57rth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a smallz a mi,)hds6/x0r32 6iqpw rtj 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 represents th3tiz6)i aj2d r, /s0hrwq6 mxpe density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and u14k na/afmn;g niform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil with density/kgnfmn4; 1aa$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cyli vi hdlcz42idj-p02;, rs1wwlu z/2qmndrically-shaped pipe. At the lower end, thedu zrw licm -j/v;hzlwd1p i02s,422 q pipe’s 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 marked as it moves 5zyz zhhi :eyxan6*c0z a/-l+ along a horizontal strea eayl6a -z*czyi5xnz0/+hhz: mline 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 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 completexg1(j:c jk bz t k981oho8,vemly fills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best desc1jkjg m ce:8 v,z8koto(b19h xribes 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 radius is at resy(lc9 dtfl zj2b:( ed8t a distance H above the ground at the edge of a platform. A tiny hole develops 2(:fb(d tl8ljd ezy9cat 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 cubic /jfj:wcg 82j/o+ aue3wd 0 wkfblock 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 havingjlrx7z 9l8(nqz6;( j(: 75degwmop z+tdlg co 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 (densio g)n.xda ; m gkqj4jefpg /b1u2(6m9qty $13.6g/cm^{3}$) 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.