94.17: A cork has weight mg and density 25% of water densi2 p)t7 pjbp:sklceo txh.(: 5vty. A string is tied arounk5v. :)b xtp:cltho2pes7(jpd 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 tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic centig w p,a(nw/i(g:6srm emeter of pure gold is 18.3 grams. weap:s((w 6mg/gn, ir What would be its mass in air?

  04.29: Three fishing bobbers all individually flr*wpav7z:r43p s,: kr1 wvrmm oat on top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical mvr1ra,s:34p7 wz k:r*mwpvr 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 Pascal's La4 .lzt cszow9.vq2y) lw?

  05.24: The hydraulic press, which allows large masses to be linprnr1 6j7 3m .efo*umfted with small applied forces, is a consequence of which princ e6m 1 nmnr3.ofju7*priple?

  06.30: A copper block is connected to a string and submer 4b7ch pur84l a9v ejo* i6fwfc,6u4txged in a container of war 6 t7xvj 8o4p6i4lu4a9 cw*eucfbh,fter.
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 loqoe u/7 t8mn1lng and 5.0 m wide. If the atmospheric pressure is 1qlt/8neu o7m $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniforms: auhyy93jn 8 ;oe)td2 dr8uk 10.0 kg object floats at rest with 75% of the object subm3yntuo2 ad9u;h yr:dj 8)ks e8erged in a cubical 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 aluminuoe ,v+pezr oyi bk s52:/(6moum have equal mass. The cubes areplaced into the same large pool of water so that each is 6s2eipbmz uoe+o/(y, :v 5rkocompletely 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 Xenon gas. This balloon s*e ju h0iz6*lthen is released from rest two meters above *sil 0 e6j*uzhthe 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 expandedu b,n 6x(mwt l567utoz- uk6zx to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is fx zuzox5bu, 66(7-6u tklmtn willed with xenon gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows thro bxyjt-7r ug66o)c*m bd8x/ rough 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 oo b6 j/yx)cb-8*dtmrg ur76xR to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross s +18w jivyq) syam3io(+o;h6qtvgp u5 ection as shown. In which sei5psy)au;mq1+w( +hvgti j ov3 o6yq 8ction would the pressure of the fluid be a minimum?

  07.35: Two objects labele yw6fj)ob-+/df7h bhqopwb -2 d K and L have equal mass but densities 0.95D0 and D0, resb 6+qjf-h wf odw/7h-b)yo2pbpectively. Each of these objects 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 attached to the botto1bq((n ,sqbx hm 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. What(n(qbqxhbs1, is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass han/h6ixz+cpr t*jl5d +ags 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. Whichc/5pirt a++*dz6x jh l 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--2jm 3kap vcgs lilk5nec13 7 density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of l1 jp- kka3m23l5c7ie-scngvoil 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-shaped pipe. At the lowej,,gujdzb) ng6i3x eiv/m z -d)l )c.br en),dc3lb) u/v-m )jxg bjdn zei.g 6,zid, the 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 azozg (d+mjt2 0long 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 radius of the pipe inmo z2tdzg+j( 0 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 3pdqo3 2;i.cnv6dn yt narrowing cross-sectional area as seen in the figure. Which one of the following choices d dnno3c;3i6qp 2.y tvbest 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 contaged++, ycb pd 97n,d6zq2 oqaginer with very large radius is at rest a distance H above the ground at the edge o2n7qe +,6gd,zgdc oab p+9d yqf 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
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 s+yr6km7 4.zzmpds lc5olid 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 haviky,h lvfb 459dng 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 xrje ta06n d3825psao 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.